Quantum Physics

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Quantum Physics
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math1983
Pranay
(math1983)
Ph.D. in mathematics and working as an Assistant Professor in University. I can provide help in mathematics, statistics and allied areas.
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Israel
(PhysMath18)
Offering help to undergraduate, graduate, and postgraduate students in subjects involving Math, Physics, and Computation.
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Aleksander
(alexmatematiko)
MATHEMATICS * PHYSICS * Especially good at problem solving - a winner of Physics and Mathematics Olympiads
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Shaine
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I have been teaching and tutoring Physics and Mathematics to graduate, undergraduate and high-school students for the last 15 years.
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titel68
Valentin
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Physics MSc (U. of Bucharest). 10 years of physics research in a gov facility, and 8 years of online tutoring. 26 years' total experience.
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Freddy
(physprobsolutions)
I am physicist by passion, not only by profession. I enjoy explaining physics. My reward is watch a spark in the eyes that says: understood!
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Quantum Physics

If quantum cosmologists can reconcile quantum mechanics with Einstein's Theory of General Relativity, we may be in for a wild ride, as scientists will finally have a single theory with the potential to describe all aspects of time and space in the universe. In short, we will be on our way to knowing the unknowable. Quite exciting, to say the least. At the heart of quantum theory lies such ideas as the particle nature of waves, the wave-like properties of particles, the quantized energy levels of atoms, and the Heisenberg Uncertainty Principle. It is from these fundamental assumptions about the natural world that we may be able to unlock its secrets through the development of a unified field theory. A good course in quantum physics will take students through the following areas:

  • The wave function
  • Time-independent Schrodinger equation
  • Formalism
  • Quantum mechanics in three dimensions
  • Identical particles
  • Time-independent perturbation theory
  • The variational principle
  • The WKB approximation
  • Time-dependent perturbation theory
  • The adiabatic approximation
  • Scattering

There are plenty of books on quantum physics to be found on Google and Amazon.com. There is also a nice collection of books and journals devoted to this area which students can find at the Springer website.

 

The variational principle

If a quantum system has a Hamiltonian independent of time  and one chooses a normalized “well behaved” function  (i.e. a continuous function for which the first and second derivatives exist) then

where  is the lowest energy eigenvalue of the Hamiltonian (bound energy).

In other words, if we chose a random test function  the bounded energy will be minimum of the expression

Question 1

Consider a one-dimensional system of a particle with a potential energy:

Make a graph of V vs X. Use the test function  to determine the energy of the ground level. Note that there is no variational parameter.  Note that is given by the equation (why?):

Solution:

If you consider a test function  having no variational parameter (that is having no constant coefficients inside) then the eigenvalue of the bound level can be approximated by

 

Since

We can write:

since we have:

Question 2

Consider you have a test function:

where f1 and f2 are real functions. Find the energy of the bound level in terms of the integrals

For the special case when:

 

find also the rapport of the coefficients:  

Solution:

If you have a test function of the type

Then the energy of the bound level is given by (like above):

 

Which for:

 

gives the rapport of coefficients:

 

To have a solution of the above system of two equations one needs to have the characteristic determinant = 0. In other words the condition for existence of E states is:

or

 

To fulfill our tutoring mission of online education, our college homework help and online tutoring centers are standing by 24/7, ready to assist college students who need homework help with all aspects of quantum physics. Our physics tutors can help with all your projects, large or small, and we challenge you to find better online quantum physics tutoring anywhere.

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Since we have tutors in all Quantum Physics related topics, we can provide a range of different services. Our online Quantum Physics tutors will:

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With these capabilities, our college Quantum Physics tutors will give you the tools you need to gain a comprehensive knowledge of Quantum Physics you can use in future courses.

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      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (292μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (289μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (258μs)
      • Illuminate\Cache\Events\CacheHit (290μs)
      • Illuminate\Cache\Events\CacheHit (253μs)
      • Illuminate\Cache\Events\CacheHit (252μs)
      • Illuminate\Cache\Events\CacheHit (278μs)
      • Illuminate\Cache\Events\CacheHit (282μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (346μs)
      • Illuminate\Cache\Events\CacheHit (410μs)
      • Illuminate\Cache\Events\CacheHit (321μs)
      • Illuminate\Cache\Events\CacheHit (515μs)
      • Illuminate\Cache\Events\CacheHit (307μs)
      • Illuminate\Cache\Events\CacheHit (228μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (467μs)
      • Illuminate\Cache\Events\CacheHit (2.44ms)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (258μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (754μs)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (433μs)
      • Illuminate\Cache\Events\CacheHit (551μs)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (318μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (257μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (133μs)
      • Illuminate\Cache\Events\CacheHit (134μs)
      • Illuminate\Cache\Events\CacheHit (149μs)
      • Illuminate\Cache\Events\CacheHit (279μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheMissed (522μs)
      • Illuminate\Database\Events\StatementPrepared (1.73ms)
      • Illuminate\Database\Events\QueryExecuted (6.68ms)
      • eloquent.retrieved: App\Models\SubjectCat (99μs)
      • Illuminate\Cache\Events\KeyWritten (354μs)
      • Illuminate\Cache\Events\CacheHit (288μs)
      • Illuminate\Cache\Events\CacheHit (265μs)
      • Illuminate\Cache\Events\CacheHit (244μs)
      • Illuminate\Cache\Events\CacheHit (408μs)
      • Illuminate\Cache\Events\CacheHit (260μs)
      • Illuminate\Cache\Events\CacheHit (479μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (1.02ms)
      • Illuminate\Cache\Events\CacheHit (553μs)
      • Illuminate\Cache\Events\CacheHit (389μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (660μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (674μs)
      • Illuminate\Cache\Events\CacheHit (256μs)
      • Illuminate\Cache\Events\CacheHit (1.61ms)
      • Illuminate\Cache\Events\CacheHit (343μs)
      • Illuminate\Cache\Events\CacheHit (287μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (377μs)
      • Illuminate\Cache\Events\CacheHit (276μs)
      • Illuminate\Cache\Events\CacheHit (549μs)
      • Illuminate\Cache\Events\CacheHit (288μs)
      • Illuminate\Cache\Events\CacheHit (305μs)
      • Illuminate\Cache\Events\CacheHit (669μs)
      • Illuminate\Cache\Events\CacheHit (739μs)
      • Illuminate\Cache\Events\CacheHit (333μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (351μs)
      • Illuminate\Cache\Events\CacheHit (1.69ms)
      • Illuminate\Cache\Events\CacheHit (712μs)
      • Illuminate\Cache\Events\CacheHit (627μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (1.32ms)
      • Illuminate\Cache\Events\CacheHit (545μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (466μs)
      • Illuminate\Cache\Events\CacheHit (382μs)
      • Illuminate\Cache\Events\CacheHit (231μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (231μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (331μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (322μs)
      • Illuminate\Cache\Events\CacheHit (701μs)
      • Illuminate\Cache\Events\CacheHit (849μs)
      • Illuminate\Cache\Events\CacheHit (227μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (396μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (319μs)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheMissed (314μs)
      • Illuminate\Database\Events\StatementPrepared (1.39ms)
      • Illuminate\Database\Events\QueryExecuted (1.07ms)
      • eloquent.retrieved: App\Models\SubjectCat (91μs)
      • Illuminate\Cache\Events\KeyWritten (507μs)
      • Illuminate\Cache\Events\CacheHit (366μs)
      • Illuminate\Cache\Events\CacheHit (884μs)
      • Illuminate\Cache\Events\CacheHit (335μs)
      • Illuminate\Cache\Events\CacheHit (654μs)
      • Illuminate\Cache\Events\CacheHit (352μs)
      • Illuminate\Cache\Events\CacheHit (366μs)
      • Illuminate\Cache\Events\CacheHit (535μs)
      • Illuminate\Cache\Events\CacheHit (320μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (327μs)
      • Illuminate\Cache\Events\CacheHit (234μs)
      • Illuminate\Cache\Events\CacheHit (232μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • creating: components.tutors-card (1.46ms)
      • composing: components.tutors-card (72μs)
      • Illuminate\Database\Events\StatementPrepared (1.19ms)
      • Illuminate\Database\Events\QueryExecuted (1.04ms)
      • Illuminate\Cache\Events\CacheMissed (1.28ms)
      • Illuminate\Cache\Events\CacheMissed (1.46ms)
      • Illuminate\Database\Events\StatementPrepared (1.28ms)
      • Illuminate\Database\Events\QueryExecuted (5.11ms)
      • eloquent.retrieved: App\Models\Subject (188μs)
      • eloquent.retrieved: App\Models\Subject (26μs)
      • eloquent.retrieved: App\Models\Subject (25μs)
      • eloquent.retrieved: App\Models\Subject (11μs)
      • eloquent.retrieved: App\Models\Subject (11μs)
      • eloquent.retrieved: App\Models\Subject (11μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (11μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (89μs)
      • eloquent.retrieved: App\Models\Subject (15μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (7μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • Illuminate\Database\Events\StatementPrepared (1.13ms)
      • Illuminate\Database\Events\QueryExecuted (1.2ms)
      • eloquent.retrieved: App\Models\SubjectCat (100μs)
      • eloquent.retrieved: App\Models\SubjectCat (20μs)
      • eloquent.retrieved: App\Models\SubjectCat (11μs)
      • eloquent.retrieved: App\Models\SubjectCat (9μs)
      • eloquent.retrieved: App\Models\SubjectCat (9μs)
      • Illuminate\Cache\Events\KeyWritten (5.31ms)
      • Illuminate\Cache\Events\KeyWritten (2.96ms)
      • Illuminate\Cache\Events\CacheHit (2.53ms)
      • Illuminate\Cache\Events\CacheHit (1.32ms)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (267μs)
      • Illuminate\Cache\Events\CacheHit (260μs)
      • Illuminate\Cache\Events\CacheHit (318μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (224μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (246μs)
      • Illuminate\Cache\Events\CacheHit (229μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (232μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (323μs)
      • Illuminate\Cache\Events\CacheHit (1.66ms)
      • Illuminate\Cache\Events\CacheHit (472μs)
      • Illuminate\Cache\Events\CacheHit (245μs)
      • Illuminate\Cache\Events\CacheHit (318μs)
      • Illuminate\Cache\Events\CacheHit (315μs)
      • Illuminate\Cache\Events\CacheHit (396μs)
      • Illuminate\Cache\Events\CacheHit (374μs)
      • Illuminate\Cache\Events\CacheHit (403μs)
      • Illuminate\Cache\Events\CacheHit (611μs)
      • Illuminate\Cache\Events\CacheHit (356μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (298μs)
      • Illuminate\Cache\Events\CacheHit (273μs)
      • Illuminate\Cache\Events\CacheHit (224μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (2.91ms)
      • Illuminate\Cache\Events\CacheHit (237μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (266μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (225μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (235μs)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (328μs)
      • Illuminate\Cache\Events\CacheHit (256μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (281μs)
      • Illuminate\Cache\Events\CacheHit (276μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (304μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (304μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (157μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (263μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (147μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (314μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • creating: components.tutors-card (807μs)
      • composing: components.tutors-card (51μs)
      • Illuminate\Database\Events\StatementPrepared (1.58ms)
      • Illuminate\Database\Events\QueryExecuted (982μs)
      • Illuminate\Cache\Events\CacheMissed (3.08ms)
      • Illuminate\Cache\Events\CacheMissed (7.38ms)
      • Illuminate\Database\Events\StatementPrepared (1.12ms)
      • Illuminate\Database\Events\QueryExecuted (2.37ms)
      • eloquent.retrieved: App\Models\Subject (98μs)
      • eloquent.retrieved: App\Models\Subject (20μs)
      • eloquent.retrieved: App\Models\Subject (12μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • Illuminate\Database\Events\StatementPrepared (3.66ms)
      • Illuminate\Database\Events\QueryExecuted (1.18ms)
      • eloquent.retrieved: App\Models\SubjectCat (105μs)
      • eloquent.retrieved: App\Models\SubjectCat (19μs)
      • eloquent.retrieved: App\Models\SubjectCat (12μs)
      • Illuminate\Cache\Events\KeyWritten (2.43ms)
      • Illuminate\Cache\Events\KeyWritten (568μs)
      • Illuminate\Cache\Events\CacheHit (1.09ms)
      • Illuminate\Cache\Events\CacheHit (506μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (240μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (333μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (395μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (129μs)
      • Illuminate\Cache\Events\CacheHit (145μs)
      • Illuminate\Cache\Events\CacheHit (739μs)
      • Illuminate\Cache\Events\CacheHit (1.32ms)
      • Illuminate\Cache\Events\CacheHit (3.71ms)
      • Illuminate\Cache\Events\CacheHit (1.81ms)
      • Illuminate\Cache\Events\CacheHit (333μs)
      • Illuminate\Cache\Events\CacheHit (300μs)
      • Illuminate\Cache\Events\CacheHit (516μs)
      • Illuminate\Cache\Events\CacheHit (301μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (313μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (258μs)
      • Illuminate\Cache\Events\CacheHit (246μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (226μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • creating: components.tutors-card (691μs)
      • composing: components.tutors-card (65μs)
      • Illuminate\Database\Events\StatementPrepared (2.44ms)
      • Illuminate\Database\Events\QueryExecuted (7.12ms)
      • Illuminate\Cache\Events\CacheMissed (4.46ms)
      • Illuminate\Cache\Events\CacheMissed (7.29ms)
      • Illuminate\Database\Events\StatementPrepared (3.54ms)
      • Illuminate\Database\Events\QueryExecuted (2.8ms)
      • eloquent.retrieved: App\Models\Subject (214μs)
      • eloquent.retrieved: App\Models\Subject (24μs)
      • eloquent.retrieved: App\Models\Subject (13μs)
      • eloquent.retrieved: App\Models\Subject (12μs)
      • eloquent.retrieved: App\Models\Subject (11μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (11μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • Illuminate\Database\Events\StatementPrepared (894μs)
      • Illuminate\Database\Events\QueryExecuted (1.04ms)
      • eloquent.retrieved: App\Models\SubjectCat (108μs)
      • eloquent.retrieved: App\Models\SubjectCat (19μs)
      • eloquent.retrieved: App\Models\SubjectCat (12μs)
      • eloquent.retrieved: App\Models\SubjectCat (11μs)
      • eloquent.retrieved: App\Models\SubjectCat (11μs)
      • eloquent.retrieved: App\Models\SubjectCat (9μs)
      • Illuminate\Cache\Events\KeyWritten (3.66ms)
      • Illuminate\Cache\Events\KeyWritten (9.38ms)
      • Illuminate\Cache\Events\CacheHit (2.05ms)
      • Illuminate\Cache\Events\CacheHit (1.14ms)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (226μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (243μs)
      • Illuminate\Cache\Events\CacheHit (1.75ms)
      • Illuminate\Cache\Events\CacheHit (326μs)
      • Illuminate\Cache\Events\CacheHit (251μs)
      • Illuminate\Cache\Events\CacheHit (303μs)
      • Illuminate\Cache\Events\CacheHit (5.01ms)
      • Illuminate\Cache\Events\CacheHit (381μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (307μs)
      • Illuminate\Cache\Events\CacheHit (333μs)
      • Illuminate\Cache\Events\CacheHit (228μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (365μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (317μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (303μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (587μs)
      • Illuminate\Cache\Events\CacheHit (3.76ms)
      • Illuminate\Cache\Events\CacheHit (964μs)
      • Illuminate\Cache\Events\CacheHit (663μs)
      • Illuminate\Cache\Events\CacheHit (643μs)
      • Illuminate\Cache\Events\CacheHit (623μs)
      • Illuminate\Cache\Events\CacheHit (650μs)
      • Illuminate\Cache\Events\CacheHit (475μs)
      • creating: components.tutors-card (2.59ms)
      • composing: components.tutors-card (378μs)
      • Illuminate\Database\Events\StatementPrepared (5.61ms)
      • Illuminate\Database\Events\QueryExecuted (1.05ms)
      • Illuminate\Cache\Events\CacheMissed (13.98ms)
      • Illuminate\Cache\Events\CacheMissed (4.05ms)
      • Illuminate\Database\Events\StatementPrepared (1ms)
      • Illuminate\Database\Events\QueryExecuted (2.18ms)
      • eloquent.retrieved: App\Models\Subject (94μs)
      • eloquent.retrieved: App\Models\Subject (17μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (7μs)
      • eloquent.retrieved: App\Models\Subject (6μs)
      • eloquent.retrieved: App\Models\Subject (6μs)
      • eloquent.retrieved: App\Models\Subject (6μs)
      • eloquent.retrieved: App\Models\Subject (6μs)
      • eloquent.retrieved: App\Models\Subject (5μs)
      • eloquent.retrieved: App\Models\Subject (5μs)
      • Illuminate\Database\Events\StatementPrepared (633μs)
      • Illuminate\Database\Events\QueryExecuted (817μs)
      • eloquent.retrieved: App\Models\SubjectCat (119μs)
      • eloquent.retrieved: App\Models\SubjectCat (15μs)
      • Illuminate\Cache\Events\KeyWritten (1.68ms)
      • Illuminate\Cache\Events\KeyWritten (429μs)
      • Illuminate\Cache\Events\CacheHit (512μs)
      • Illuminate\Cache\Events\CacheHit (546μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (223μs)
      • Illuminate\Cache\Events\CacheHit (282μs)
      • Illuminate\Cache\Events\CacheHit (289μs)
      • Illuminate\Cache\Events\CacheHit (303μs)
      • Illuminate\Cache\Events\CacheHit (319μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (322μs)
      • Illuminate\Cache\Events\CacheHit (246μs)
      • Illuminate\Cache\Events\CacheHit (530μs)
      • Illuminate\Cache\Events\CacheHit (254μs)
      • Illuminate\Cache\Events\CacheHit (247μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (149μs)
      • Illuminate\Cache\Events\CacheHit (144μs)
      • Illuminate\Cache\Events\CacheHit (277μs)
      • Illuminate\Cache\Events\CacheHit (128μs)
      • creating: site.blocks.subject-homework (750μs)
      • composing: site.blocks.subject-homework (25μs)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (159μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (95μs)
      • Illuminate\Database\Events\StatementPrepared (827μs)
      • Illuminate\Database\Events\QueryExecuted (861μs)
      • Illuminate\Database\Events\StatementPrepared (694μs)
      • Illuminate\Database\Events\QueryExecuted (1.09ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (123μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (21μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (10μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (10μs)
      • Illuminate\Database\Events\StatementPrepared (657μs)
      • Illuminate\Database\Events\QueryExecuted (1.17ms)
      • eloquent.retrieved: App\Models\Subject (96μs)
      • Illuminate\Database\Events\StatementPrepared (999μs)
      • Illuminate\Database\Events\QueryExecuted (840μs)
      • eloquent.retrieved: App\Models\SubjectCat (90μs)
      • creating: components.homework-blocks (260μs)
      • composing: components.homework-blocks (112μs)
      • creating: site.blocks.reviews (1.01ms)
      • composing: site.blocks.reviews (24μs)
      • creating: site.blocks.submit-homework (153μs)
      • composing: site.blocks.submit-homework (22μs)
      • creating: site.blocks.faq (110μs)
      • composing: site.blocks.faq (18μs)
      • eloquent.booting: App\Models\Twill\TwillFaq (133μs)
      • eloquent.booted: App\Models\Twill\TwillFaq (161μs)
      • eloquent.booting: App\Models\Twill\Slugs\TwillFaqSlug (209μs)
      • eloquent.booted: App\Models\Twill\Slugs\TwillFaqSlug (195μs)
      • Illuminate\Database\Events\StatementPrepared (970μs)
      • Illuminate\Database\Events\QueryExecuted (1.66ms)
      • eloquent.retrieved: App\Models\Twill\TwillFaq (160μs)
      • Illuminate\Database\Events\StatementPrepared (677μs)
      • Illuminate\Database\Events\QueryExecuted (819μs)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (92μs)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (22μs)
      • creating: components.faq-item (198μs)
      • composing: components.faq-item (110μs)
      • Illuminate\Database\Events\StatementPrepared (2.12ms)
      • Illuminate\Database\Events\QueryExecuted (962μs)
      • eloquent.retrieved: App\Models\Twill\TwillFaq (95μs)
      • Illuminate\Database\Events\StatementPrepared (1.87ms)
      • Illuminate\Database\Events\QueryExecuted (3.22ms)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (89μs)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (24μs)
      • creating: components.faq-item (133μs)
      • composing: components.faq-item (50μs)
      • Illuminate\Database\Events\StatementPrepared (1.39ms)
      • Illuminate\Database\Events\QueryExecuted (1.08ms)
      • eloquent.retrieved: App\Models\Twill\TwillFaq (101μs)
      • Illuminate\Database\Events\StatementPrepared (4.85ms)
      • Illuminate\Database\Events\QueryExecuted (5.05ms)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (108μs)
      • creating: components.faq-item (101μs)
      • composing: components.faq-item (58μs)
      • Illuminate\Database\Events\StatementPrepared (1.24ms)
      • Illuminate\Database\Events\QueryExecuted (973μs)
      • eloquent.retrieved: App\Models\Twill\TwillFaq (114μs)
      • Illuminate\Database\Events\StatementPrepared (815μs)
      • Illuminate\Database\Events\QueryExecuted (751μs)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (64μs)
      • creating: components.faq-item (101μs)
      • composing: components.faq-item (63μs)
      • creating: site.blocks.text-with-image (344μs)
      • composing: site.blocks.text-with-image (23μs)
      • creating: site.blocks.work-with-tutors (181μs)
      • composing: site.blocks.work-with-tutors (20μs)
      • creating: site.layouts.app (219μs)
      • composing: site.layouts.app (19μs)
      • creating: components.canonical (369μs)
      • composing: components.canonical (186μs)
      • creating: components.open-graph (300μs)
      • composing: components.open-graph (82μs)
      • creating: site.headers.header (266μs)
      • composing: site.headers.header (75μs)
      • Illuminate\Cache\Events\CacheHit (2.06ms)
      • creating: components.footer (90μs)
      • composing: components.footer (95μs)
      • Illuminate\Cache\Events\CacheHit (1.13ms)
      • Illuminate\Cache\Events\CacheHit (429μs)
      • Illuminate\Cache\Events\CacheHit (301μs)
      • Illuminate\Cache\Events\CacheHit (227μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (8.25ms)
      • Illuminate\Cache\Events\CacheHit (509μs)
      • Illuminate\Cache\Events\CacheHit (372μs)
      • Illuminate\Cache\Events\CacheHit (1.02ms)
      • Illuminate\Cache\Events\CacheHit (996μs)
      • Illuminate\Cache\Events\CacheHit (258μs)
      • Illuminate\Cache\Events\CacheHit (392μs)
      • Illuminate\Cache\Events\CacheHit (2.94ms)
      • creating: components.forms.contact-us (6.19ms)
      • composing: components.forms.contact-us (249μs)
      • creating: components.forms.get-started (225μs)
      • composing: components.forms.get-started (93μs)
      • creating: components.forms.free-tool-download (118μs)
      • composing: components.forms.free-tool-download (71μs)
      • creating: components.forms.claim-free-worksheet (9.24ms)
      • composing: components.forms.claim-free-worksheet (143μs)
      • creating: components.forms.tutor-subscription-waitlist (608μs)
      • composing: components.forms.tutor-subscription-waitlist (108μs)
      • creating: components.forms.tutor-subscription-join (246μs)
      • composing: components.forms.tutor-subscription-join (83μs)
      • creating: components.forms.tutor-support (212μs)
      • composing: components.forms.tutor-support (151μs)
      • 461 x Illuminate\Cache\Events\CacheHit (17.65%)
        199ms
        42 x Illuminate\Database\Events\StatementPrepared (10.88%)
        123ms
        42 x Illuminate\Database\Events\QueryExecuted (10.51%)
        119ms
        19 x Illuminate\Cache\Events\KeyWritten (5.75%)
        64.78ms
        19 x Illuminate\Cache\Events\CacheMissed (5.02%)
        56.65ms
        1 x creating: components.forms.claim-free-worksheet (0.82%)
        9.24ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (0.66%)
        7.46ms
        6 x creating: components.tutors-card (0.63%)
        7.11ms
        1 x creating: components.forms.contact-us (0.55%)
        6.19ms
        2 x Illuminate\Database\Events\ConnectionEstablished (0.23%)
        2.64ms
        180 x eloquent.retrieved: App\Models\Subject (0.23%)
        2.55ms
        35 x eloquent.retrieved: App\Models\SubjectCat (0.2%)
        2.26ms
        1 x Illuminate\Routing\Events\Routing (0.17%)
        1.87ms
        1 x creating: site.blocks.reviews (0.09%)
        1.01ms
        1 x composing: components.breadcrumbs (0.08%)
        905μs
        6 x composing: components.tutors-card (0.07%)
        817μs
        1 x creating: site.blocks.subject-homework (0.07%)
        750μs
        1 x eloquent.booting: App\Models\Subject (0.06%)
        703μs
        1 x eloquent.booting: App\Models\User\Tutor (0.06%)
        648μs
        1 x Illuminate\Routing\Events\RouteMatched (0.06%)
        626μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.05%)
        608μs
        4 x creating: components.faq-item (0.05%)
        533μs
        1 x creating: components.breadcrumbs (0.04%)
        470μs
        4 x eloquent.retrieved: App\Models\Twill\TwillFaq (0.04%)
        470μs
        1 x eloquent.booting: App\Models\Meta (0.04%)
        462μs
        1 x eloquent.booting: App\Models\User\TutorAttributes\TutorDegree (0.04%)
        462μs
        6 x eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (0.04%)
        399μs
        1 x creating: site.blocks.how-it-works (0.03%)
        374μs
        1 x creating: components.canonical (0.03%)
        369μs
        1 x creating: site.blocks.text-with-image (0.03%)
        344μs
        1 x creating: components.open-graph (0.03%)
        300μs
        4 x composing: components.faq-item (0.02%)
        281μs
        1 x eloquent.booted: App\Models\User\Tutor (0.02%)
        273μs
        1 x creating: site.headers.header (0.02%)
        266μs
        1 x creating: components.homework-blocks (0.02%)
        260μs
        1 x composing: components.forms.contact-us (0.02%)
        249μs
        1 x creating: components.forms.tutor-subscription-join (0.02%)
        246μs
        1 x creating: components.tutors-cards (0.02%)
        235μs
        6 x eloquent.retrieved: App\Models\User\Tutor (0.02%)
        229μs
        1 x creating: components.forms.get-started (0.02%)
        225μs
        1 x creating: site.layouts.app (0.02%)
        219μs
        1 x creating: components.forms.tutor-support (0.02%)
        212μs
        1 x eloquent.booting: App\Models\Twill\Slugs\TwillFaqSlug (0.02%)
        209μs
        1 x eloquent.booted: App\Models\Twill\Slugs\TwillFaqSlug (0.02%)
        195μs
        1 x eloquent.booting: App\Models\SubjectCat (0.02%)
        190μs
        1 x eloquent.retrieved: App\Models\Meta (0.02%)
        190μs
        1 x creating: subjects.show (0.02%)
        188μs
        6 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)
        188μs
        1 x composing: components.canonical (0.02%)
        186μs
        1 x creating: site.blocks.work-with-tutors (0.02%)
        181μs
        1 x eloquent.booted: App\Models\Twill\TwillFaq (0.01%)
        161μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.01%)
        159μs
        1 x composing: subjects.show (0.01%)
        157μs
        1 x composing: components.tutors-cards (0.01%)
        153μs
        1 x creating: site.blocks.submit-homework (0.01%)
        153μs
        1 x composing: components.forms.tutor-support (0.01%)
        151μs
        1 x composing: components.forms.claim-free-worksheet (0.01%)
        143μs
        1 x eloquent.booting: App\Models\Twill\TwillFaq (0.01%)
        133μs
        1 x creating: site.blocks.subject-tutors (0.01%)
        124μs
        1 x creating: components.forms.free-tool-download (0.01%)
        118μs
        1 x composing: components.homework-blocks (0.01%)
        112μs
        1 x creating: site.blocks.faq (0.01%)
        110μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        108μs
        1 x composing: components.footer (0.01%)
        95μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.01%)
        95μs
        1 x composing: components.forms.get-started (0.01%)
        93μs
        1 x eloquent.booted: App\Models\Meta (0.01%)
        93μs
        1 x creating: components.footer (0.01%)
        90μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        83μs
        1 x composing: components.open-graph (0.01%)
        82μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        75μs
        1 x composing: site.headers.header (0.01%)
        75μs
        1 x composing: components.forms.free-tool-download (0.01%)
        71μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        68μs
        1 x eloquent.booted: App\Models\User\TutorAttributes\TutorDegree (0.01%)
        60μs
        1 x composing: site.blocks.subject-homework (0%)
        25μs
        1 x composing: site.blocks.reviews (0%)
        24μs
        1 x composing: site.blocks.how-it-works (0%)
        23μs
        1 x composing: site.blocks.text-with-image (0%)
        23μs
        1 x composing: site.blocks.submit-homework (0%)
        22μs
        1 x composing: site.blocks.work-with-tutors (0%)
        20μs
        1 x composing: site.blocks.subject-tutors (0%)
        19μs
        1 x composing: site.layouts.app (0%)
        19μs
        1 x composing: site.blocks.faq (0%)
        18μs
      34 templates were rendered
      • 1x subjects.showshow.blade.phpblade
      • 1x components.breadcrumbsbreadcrumbs.blade.phpblade
      • 1x site.blocks.how-it-workshow-it-works.blade.phpblade
      • 1x site.blocks.subject-tutorssubject-tutors.blade.phpblade
      • 1x components.tutors-cardstutors-cards.blade.phpblade
      • 6x components.tutors-cardtutors-card.blade.phpblade
      • 1x site.blocks.subject-homeworksubject-homework.blade.phpblade
      • 1x components.homework-blockshomework-blocks.blade.phpblade
      • 1x site.blocks.reviewsreviews.blade.phpblade
      • 1x site.blocks.submit-homeworksubmit-homework.blade.phpblade
      • 1x site.blocks.faqfaq.blade.phpblade
      • 4x components.faq-itemfaq-item.blade.phpblade
      • 1x site.blocks.text-with-imagetext-with-image.blade.phpblade
      • 1x site.blocks.work-with-tutorswork-with-tutors.blade.phpblade
      • 1x site.layouts.appapp.blade.phpblade
      • 1x components.canonicalcanonical.blade.phpblade
      • 1x components.open-graphopen-graph.blade.phpblade
      • 1x site.headers.headerheader.blade.phpblade
      • 1x components.footerfooter.blade.phpblade
      • 1x components.forms.contact-uscontact-us.blade.phpblade
      • 1x components.forms.get-startedget-started.blade.phpblade
      • 1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
      • 1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
      • 1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
      • 1x components.forms.tutor-subscription-jointutor-subscription-join.blade.phpblade
      • 1x components.forms.tutor-supporttutor-support.blade.phpblade
      uri
      GET subjects/{categoryUri}/{subjectUri?}
      middleware
      web, utm.parameters
      controller
      App\Http\Controllers\SubjectController@show
      namespace
      where
      as
      subjects.show
      file
      app/Http/Controllers/SubjectController.php:43-96
      42 statements were executed, 2 of which were duplicates, 40 unique. Show only duplicated168ms
      • Connection Establishedtwenty4_siteSubjectRepository.php#123
        Backtrace
        • 13. app/Repositories/SubjectRepository.php:123
        • 14. app/Http/Controllers/SubjectController.php:54
        • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `subjects` where `urlFriendlyTitle` = 'Quantum-Physics' limit 1
        15.69mstwenty4_siteSubjectRepository.php#123
        Bindings
        • 0: Quantum-Physics
        Backtrace
        • 15. app/Repositories/SubjectRepository.php:123
        • 16. app/Http/Controllers/SubjectController.php:54
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `subject_cats` where `subject_cats`.`id` in (34)
        1.49mstwenty4_siteSubjectRepository.php#123
        Backtrace
        • 20. app/Repositories/SubjectRepository.php:123
        • 21. app/Http/Controllers/SubjectController.php:54
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1
        9.71mstwenty4_siteSubject.php#100
        Bindings
        • 0: 34
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 28. app/Http/Controllers/SubjectController.php:86
      • select * from `meta` where `meta`.`id` = 3 limit 1
        10.66mstwenty4_siteMetaService.php#118
        Bindings
        • 0: 3
        Backtrace
        • 19. app/Services/MetaService.php:118
        • 20. app/Services/MetaService.php:108
        • 21. app/Services/MetaService.php:81
        • 22. app/Http/Controllers/SubjectController.php:89
        • 23. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • Connection Establishedtwenty4_siteTutorRepository.php#40
        Backtrace
        • 13. app/Repositories/TutorRepository.php:40
        • 14. app/View/Components/TutorsCards.php:28
        • 15. app/View/Components/TutorsCards.php:22
        • 17. vendor/laravel/framework/src/Illuminate/Container/Container.php:929
        • 18. vendor/laravel/framework/src/Illuminate/Container/Container.php:770
      • select count(*) as aggregate from `users` where (`subjectsQualified` like '%|89|%' or `DSF_subjectsQualified` like '%|89|%' or `allsubjects` = 1) and `disable_profile` = 0 and `picture` != '' and `solutionrequestQualified` = 1 and `is_suspended` = 0 and `is_deactivated` = 0 and `status` != '' and `status` = 'tutor'
        13.66mstwenty4_siteTutorsCards.php#35
        Bindings
        • 0: %|89|%
        • 1: %|89|%
        • 2: 1
        • 3: 0
        • 4: 
        • 5: 1
        • 6: 0
        • 7: 0
        • 8: 
        • 9: tutor
        Backtrace
        • 15. app/View/Components/TutorsCards.php:35
        • 16. app/View/Components/TutorsCards.php:22
        • 18. vendor/laravel/framework/src/Illuminate/Container/Container.php:929
        • 19. vendor/laravel/framework/src/Illuminate/Container/Container.php:770
        • 20. vendor/laravel/framework/src/Illuminate/Foundation/Application.php:933
      • select * from `users` where (`subjectsQualified` like '%|89|%' or `DSF_subjectsQualified` like '%|89|%' or `allsubjects` = 1) and `disable_profile` = 0 and `picture` != '' and `solutionrequestQualified` = 1 and `is_suspended` = 0 and `is_deactivated` = 0 and `status` != '' and `status` = 'tutor' order by `completed_requests` desc limit 6 offset 0
        11.58mstwenty4_siteTutorsCards.php#35
        Bindings
        • 0: %|89|%
        • 1: %|89|%
        • 2: 1
        • 3: 0
        • 4: 
        • 5: 1
        • 6: 0
        • 7: 0
        • 8: 
        • 9: tutor
        Backtrace
        • 15. app/View/Components/TutorsCards.php:35
        • 16. app/View/Components/TutorsCards.php:22
        • 18. vendor/laravel/framework/src/Illuminate/Container/Container.php:929
        • 19. vendor/laravel/framework/src/Illuminate/Container/Container.php:770
        • 20. vendor/laravel/framework/src/Illuminate/Foundation/Application.php:933
      • select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 6531 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
        1.03mstwenty4_siteTutor.php#361
        Bindings
        • 0: 6531
        Backtrace
        • 18. app/Models/User/Tutor.php:361
        • 19. view::components.tutors-card:11
        • 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        1.46mstwenty4_siteSubject.php#100
        Bindings
        • 0: 1
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1
        1.73mstwenty4_siteSubject.php#100
        Bindings
        • 0: 3
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1
        7.52mstwenty4_siteSubject.php#100
        Bindings
        • 0: 4
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 5 limit 1
        1.01mstwenty4_siteSubject.php#100
        Bindings
        • 0: 5
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 31 limit 1
        890μstwenty4_siteSubject.php#100
        Bindings
        • 0: 31
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 76351 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
        1.89mstwenty4_siteTutor.php#361
        Bindings
        • 0: 76351
        Backtrace
        • 18. app/Models/User/Tutor.php:361
        • 19. view::components.tutors-card:11
        • 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • select `subjects`.*, `subject_cats`.`title` as `category_title`, `subject_cats`.`id` as `category_id` from `subjects` inner join `subject_cats` on `subject_cats`.`id` = `subjects`.`catID` where `subjects`.`id` in (515, 459, 516, 517, 169, 20, 324, 388, 168, 158, 129, 16, 142, 15, 130, 394, 512, 440, 72, 259, 251, 346, 52, 227, 49, 135, 150, 161, 246, 119, 245, 34, 134, 2, 160, 133, 1, 6, 127, 123, 229, 70, 10, 122, 257, 220, 126, 124, 65, 7, 3, 349, 9, 396, 66, 125, 68, 47, 73, 348, 41, 8, 71, 347, 67, 48, 299, 121, 4, 223, 417, 401, 325, 479, 379, 397, 226, 327, 501, 116, 147, 89, 446, 88, 269)
        14.29mstwenty4_siteTutor.php#214
        Bindings
        • 0: 515
        • 1: 459
        • 2: 516
        • 3: 517
        • 4: 169
        • 5: 20
        • 6: 324
        • 7: 388
        • 8: 168
        • 9: 158
        • 10: 129
        • 11: 16
        • 12: 142
        • 13: 15
        • 14: 130
        • 15: 394
        • 16: 512
        • 17: 440
        • 18: 72
        • 19: 259
        • 20: 251
        • 21: 346
        • 22: 52
        • 23: 227
        • 24: 49
        • 25: 135
        • 26: 150
        • 27: 161
        • 28: 246
        • 29: 119
        • 30: 245
        • 31: 34
        • 32: 134
        • 33: 2
        • 34: 160
        • 35: 133
        • 36: 1
        • 37: 6
        • 38: 127
        • 39: 123
        • 40: 229
        • 41: 70
        • 42: 10
        • 43: 122
        • 44: 257
        • 45: 220
        • 46: 126
        • 47: 124
        • 48: 65
        • 49: 7
        • 50: 3
        • 51: 349
        • 52: 9
        • 53: 396
        • 54: 66
        • 55: 125
        • 56: 68
        • 57: 47
        • 58: 73
        • 59: 348
        • 60: 41
        • 61: 8
        • 62: 71
        • 63: 347
        • 64: 67
        • 65: 48
        • 66: 299
        • 67: 121
        • 68: 4
        • 69: 223
        • 70: 417
        • 71: 401
        • 72: 325
        • 73: 479
        • 74: 379
        • 75: 397
        • 76: 226
        • 77: 327
        • 78: 501
        • 79: 116
        • 80: 147
        • 81: 89
        • 82: 446
        • 83: 88
        • 84: 269
        Backtrace
        • 14. app/Models/User/Tutor.php:214
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Models/User/Tutor.php:216
        • 24. app/Models/User/Tutor.php:267
      • select * from `subject_cats` where `subject_cats`.`id` in (1, 3, 4, 9, 10, 34, 36, 42)
        2.92mstwenty4_siteTutor.php#214
        Backtrace
        • 19. app/Models/User/Tutor.php:214
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Models/User/Tutor.php:216
        • 29. app/Models/User/Tutor.php:267
      • select * from `subject_cats` where `subject_cats`.`id` = 10 limit 1
        1.32mstwenty4_siteSubject.php#100
        Bindings
        • 0: 10
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 9 limit 1
        7.66mstwenty4_siteSubject.php#100
        Bindings
        • 0: 9
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 42 limit 1
        1.26mstwenty4_siteSubject.php#100
        Bindings
        • 0: 42
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 69722 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
        1.04mstwenty4_siteTutor.php#361
        Bindings
        • 0: 69722
        Backtrace
        • 18. app/Models/User/Tutor.php:361
        • 19. view::components.tutors-card:11
        • 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • select `subjects`.*, `subject_cats`.`title` as `category_title`, `subject_cats`.`id` as `category_id` from `subjects` inner join `subject_cats` on `subject_cats`.`id` = `subjects`.`catID` where `subjects`.`id` in (473, 15, 240, 119, 34, 134, 2, 160, 133, 6, 127, 123, 10, 122, 257, 124, 7, 349, 9, 66, 125, 68, 41, 8, 347, 67, 299, 121, 223, 401, 325, 479, 14, 379, 501, 89, 446, 269)
        4.99mstwenty4_siteTutor.php#214
        Bindings
        • 0: 473
        • 1: 15
        • 2: 240
        • 3: 119
        • 4: 34
        • 5: 134
        • 6: 2
        • 7: 160
        • 8: 133
        • 9: 6
        • 10: 127
        • 11: 123
        • 12: 10
        • 13: 122
        • 14: 257
        • 15: 124
        • 16: 7
        • 17: 349
        • 18: 9
        • 19: 66
        • 20: 125
        • 21: 68
        • 22: 41
        • 23: 8
        • 24: 347
        • 25: 67
        • 26: 299
        • 27: 121
        • 28: 223
        • 29: 401
        • 30: 325
        • 31: 479
        • 32: 14
        • 33: 379
        • 34: 501
        • 35: 89
        • 36: 446
        • 37: 269
        Backtrace
        • 14. app/Models/User/Tutor.php:214
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Models/User/Tutor.php:216
        • 24. app/Models/User/Tutor.php:267
      • select * from `subject_cats` where `subject_cats`.`id` in (1, 3, 31, 34, 42)
        1.57mstwenty4_siteTutor.php#214
        Backtrace
        • 19. app/Models/User/Tutor.php:214
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Models/User/Tutor.php:216
        • 29. app/Models/User/Tutor.php:267
      • select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 70230 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
        1.6mstwenty4_siteTutor.php#361
        Bindings
        • 0: 70230
        Backtrace
        • 18. app/Models/User/Tutor.php:361
        • 19. view::components.tutors-card:11
        • 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • select `subjects`.*, `subject_cats`.`title` as `category_title`, `subject_cats`.`id` as `category_id` from `subjects` inner join `subject_cats` on `subject_cats`.`id` = `subjects`.`catID` where `subjects`.`id` in (2, 133, 6, 7, 9, 41, 8, 299, 4, 325, 14, 397, 226, 89, 401, 396, 269, 47, 324, 88, 134)
        2.43mstwenty4_siteTutor.php#214
        Bindings
        • 0: 2
        • 1: 133
        • 2: 6
        • 3: 7
        • 4: 9
        • 5: 41
        • 6: 8
        • 7: 299
        • 8: 4
        • 9: 325
        • 10: 14
        • 11: 397
        • 12: 226
        • 13: 89
        • 14: 401
        • 15: 396
        • 16: 269
        • 17: 47
        • 18: 324
        • 19: 88
        • 20: 134
        Backtrace
        • 14. app/Models/User/Tutor.php:214
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Models/User/Tutor.php:216
        • 24. app/Models/User/Tutor.php:267
      • select * from `subject_cats` where `subject_cats`.`id` in (1, 4, 34)
        2.54mstwenty4_siteTutor.php#214
        Backtrace
        • 19. app/Models/User/Tutor.php:214
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Models/User/Tutor.php:216
        • 29. app/Models/User/Tutor.php:267
      • select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 813 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
        8.39mstwenty4_siteTutor.php#361
        Bindings
        • 0: 813
        Backtrace
        • 18. app/Models/User/Tutor.php:361
        • 19. view::components.tutors-card:11
        • 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • select `subjects`.*, `subject_cats`.`title` as `category_title`, `subject_cats`.`id` as `category_id` from `subjects` inner join `subject_cats` on `subject_cats`.`id` = `subjects`.`catID` where `subjects`.`id` in (13, 165, 16, 251, 115, 52, 44, 150, 163, 6, 10, 223, 401, 325, 479, 14, 379, 226, 327, 116, 268, 89, 88, 269)
        5.19mstwenty4_siteTutor.php#214
        Bindings
        • 0: 13
        • 1: 165
        • 2: 16
        • 3: 251
        • 4: 115
        • 5: 52
        • 6: 44
        • 7: 150
        • 8: 163
        • 9: 6
        • 10: 10
        • 11: 223
        • 12: 401
        • 13: 325
        • 14: 479
        • 15: 14
        • 16: 379
        • 17: 226
        • 18: 327
        • 19: 116
        • 20: 268
        • 21: 89
        • 22: 88
        • 23: 269
        Backtrace
        • 14. app/Models/User/Tutor.php:214
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Models/User/Tutor.php:216
        • 24. app/Models/User/Tutor.php:267
      • select * from `subject_cats` where `subject_cats`.`id` in (1, 3, 9, 10, 34, 36)
        1.26mstwenty4_siteTutor.php#214
        Backtrace
        • 19. app/Models/User/Tutor.php:214
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Models/User/Tutor.php:216
        • 29. app/Models/User/Tutor.php:267
      • select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 77215 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
        5mstwenty4_siteTutor.php#361
        Bindings
        • 0: 77215
        Backtrace
        • 18. app/Models/User/Tutor.php:361
        • 19. view::components.tutors-card:11
        • 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • select `subjects`.*, `subject_cats`.`title` as `category_title`, `subject_cats`.`id` as `category_id` from `subjects` inner join `subject_cats` on `subject_cats`.`id` = `subjects`.`catID` where `subjects`.`id` in (44, 149, 164, 223, 401, 325, 14, 226, 89, 269)
        2.16mstwenty4_siteTutor.php#214
        Bindings
        • 0: 44
        • 1: 149
        • 2: 164
        • 3: 223
        • 4: 401
        • 5: 325
        • 6: 14
        • 7: 226
        • 8: 89
        • 9: 269
        Backtrace
        • 14. app/Models/User/Tutor.php:214
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Models/User/Tutor.php:216
        • 24. app/Models/User/Tutor.php:267
      • select * from `subject_cats` where `subject_cats`.`id` in (9, 34)
        980μstwenty4_siteTutor.php#214
        Backtrace
        • 19. app/Models/User/Tutor.php:214
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Models/User/Tutor.php:216
        • 29. app/Models/User/Tutor.php:267
      • select count(*) as aggregate from `solutionslibrary` where exists (select * from `subjects` where `solutionslibrary`.`subject` = `subjects`.`id`) and `subject` = 89 and `status` = 'published' and `price` > 0
        910μstwenty4_siteHomeworkBlocks.php#27
        Bindings
        • 0: 89
        • 1: published
        • 2: 0
        Backtrace
        • 15. app/View/Components/HomeworkBlocks.php:27
        • 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 17. view::site.blocks.subject-homework:4
        • 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `solutionslibrary` where exists (select * from `subjects` where `solutionslibrary`.`subject` = `subjects`.`id`) and `subject` = 89 and `status` = 'published' and `price` > 0 order by `purchase_count` desc limit 6 offset 0
        1.12mstwenty4_siteHomeworkBlocks.php#27
        Bindings
        • 0: 89
        • 1: published
        • 2: 0
        Backtrace
        • 15. app/View/Components/HomeworkBlocks.php:27
        • 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 17. view::site.blocks.subject-homework:4
        • 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `subjects` where `subjects`.`id` in (89)
        1.09mstwenty4_siteHomeworkBlocks.php#27
        Backtrace
        • 20. app/View/Components/HomeworkBlocks.php:27
        • 21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 22. view::site.blocks.subject-homework:4
        • 24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `subject_cats` where `subject_cats`.`id` in (34)
        1.34mstwenty4_siteHomeworkBlocks.php#27
        Backtrace
        • 25. app/View/Components/HomeworkBlocks.php:27
        • 26. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 27. view::site.blocks.subject-homework:4
        • 29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'can-you-help-me-with-my-homework-in-less-than-24-hours' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1
        1.39mstwenty4_siteFaqItem.php#15
        Bindings
        • 0: can-you-help-me-with-my-homework-in-less-than-24-hours
        • 1: 1
        • 2: en
        Backtrace
        • 15. app/View/Components/FaqItem.php:15
        • 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 17. view::site.blocks.faq:7
        • 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (1) and `twill_faq_slugs`.`deleted_at` is null
        870μstwenty4_siteFaqItem.php#15
        Backtrace
        • 20. app/View/Components/FaqItem.php:15
        • 21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 22. view::site.blocks.faq:7
        • 24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'can-you-help-me-with-my-examquiztest' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1
        1.85mstwenty4_siteFaqItem.php#15
        Bindings
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        Backtrace
        • 15. app/View/Components/FaqItem.php:15
        • 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 17. view::site.blocks.faq:24
        • 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
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        4.45mstwenty4_siteFaqItem.php#15
        Backtrace
        • 20. app/View/Components/FaqItem.php:15
        • 21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 22. view::site.blocks.faq:24
        • 24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'how-much-will-it-cost' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1
        1mstwenty4_siteFaqItem.php#15
        Bindings
        • 0: how-much-will-it-cost
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        Backtrace
        • 15. app/View/Components/FaqItem.php:15
        • 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 17. view::site.blocks.faq:41
        • 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (3) and `twill_faq_slugs`.`deleted_at` is null
        9.22mstwenty4_siteFaqItem.php#15
        Backtrace
        • 20. app/View/Components/FaqItem.php:15
        • 21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 22. view::site.blocks.faq:41
        • 24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'what-kind-of-payments-do-you-accept' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1
        970μstwenty4_siteFaqItem.php#15
        Bindings
        • 0: what-kind-of-payments-do-you-accept
        • 1: 1
        • 2: en
        Backtrace
        • 15. app/View/Components/FaqItem.php:15
        • 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 17. view::site.blocks.faq:58
        • 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (4) and `twill_faq_slugs`.`deleted_at` is null
        840μstwenty4_siteFaqItem.php#15
        Backtrace
        • 20. app/View/Components/FaqItem.php:15
        • 21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 22. view::site.blocks.faq:58
        • 24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
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