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Engineering
A well is producing at a rate of 300 STB/D from a reservoir ...
A well is producing at a rate of 300 STB/D from a reservoir above the bubble point. The reservoir characteristics are as follows: A = 900 Acres h = 50 ft. Bo = 1.50 RB/STB ct = 1.5 x 10-5 psi-1 Estimate the formation the porosity assuming the wellbore pressure has been declining at a consta...
$33.00
Engineering
Laboratory Experiment No. 8 Density Adjusting Objective: ...
Laboratory Experiment No. 8 Density Adjusting Objective: To prepare a mud with desire density using unknown sample Lab Procedure: 1. Use 500 CC of the unknown sample and mix it for 5 minutes. 2. Measure the density of unknown sample using mud balance. 3. Calculate the amount of clay in grams ...
$20.00
Mathematics
1.5.5. Write an equation to represent the following statemen...
1.5.5. Write an equation to represent the following statements: (a) At Mindy's restaurant, for every four people who ordered cheesecake, there were five who ordered strudel. (b) There are six times as many students as professors at this college. 1.5.6. Guy wires are strung from the top of each o...
$38.00
Physics
1. Show that - V and that 2. Argon can be well described...
1. Show that - V and that 2. Argon can be well described by van der Waals equation of state, where a = 1.345 L² atm/mol² and b = 0.03219 L/mol. Two moles of argon gas are expanded reversibly and isothermally from 3.00 L to 8.00 L at 27°C. Calcu- late the work ( in Joules) done by the gas duri...
$150.00
Mathematics
1. Let Y1,Y2, Yn be independent and identically distributed ...
1. Let Y1,Y2, Yn be independent and identically distributed as N(0,0²) for some o 0. a) Find the MLE for o². Justify. b) Why is an MLE (in general) usually considered to be a good estimator for a parameter? c) Find the UMVUE for o². Justify. 2. The Beta-Binomial model. Let X1 X, Xn be independe...
$78.00
Engineering
Calculate the packer-to-tubing force and draw the tension di...
Calculate the packer-to-tubing force and draw the tension diagram for the tubing under the conditions specified below: Initially, tubing and annulus are filled with completion fluid (density=density of the mud). Thereafter, the mud in the tubing is replaced by water in water flooding treatment. D...
$50.00
Engineering
Laboratory Experiment No. 7 Red Lime Muds Objective: To p...
Laboratory Experiment No. 7 Red Lime Muds Objective: To prepare and evaluate red lime drilling fluid. Lab Procedure: 1. Prepare sufficient amount of 22.5 ppb mud using Aquagel. 2. Using mud balance measure mud density in ppg. 3. Measure plastic viscosity and apparent viscosity. Record 600 ...
$20.00
Engineering
6. What is the largest diameter bit that can pass through a ...
6. What is the largest diameter bit that can pass through a 10-3/4” 85.3ppf C-90 casing? 9. What is the difference between casing and a liner? 11. You just finished running 1500’ of 13-3/8” 54.5ppf J-55 BTC Rg3 casing (with a float shoe installed) into a 12ppg mud filled hole filling the casin...
$10.00
Engineering
Laboratory Experiment No. 10 Surface and Interfacial Tensio...
Laboratory Experiment No. 10 Surface and Interfacial Tension Measurements Objective: To determine surface and interfacial tensions by the du Nouy method. Theory: Attraction between molecules of a liquid at its surface is directed towards the bulk of the fluid. Since part of its surface is expo...
$50.00
Engineering
Reservoir Simulation History Matching Assignment Introducti...
Reservoir Simulation History Matching Assignment Introduction The Gretel Oil Field has been developed using one production wells and one water injection well and has been on production for 9 years. You are provided with an Eclipse reservoir simulation model which includes the production and inject...
$100.00
Computer Science
Problem 1: Robot Kinematics Background An important class ...
Problem 1: Robot Kinematics Background An important class of robots is robot manipulators, which are modeled on human arms. It is natural to model their behaviors by deriving mappings between activity in their joints (e.g., your shoulder or elbow) and activity at their end effector (e.g., your h...
$95.00
Computer Science
Chapter 4 - Exercise #3: This problem relates to the QDA mo...
Chapter 4 - Exercise #3: This problem relates to the QDA model, in which the observations within each class are drawn from a normal distribution with a class- specific mean vector and a class specific covariance matrix. We con- sider the simple case where p = 1; i.e. there is only one feature. ...
$60.00
Physics
A marble of mass m is projected downward through a fluid suc...
A marble of mass m is projected downward through a fluid such that the resistive force is proportional to the speed of the ball downward by the equation Fdrag = CV where c is a constant. The marble is projected downward with initial velocity 8 times the terminal velocity of the particle. a) On a ...
$10.00
Engineering
Exercise 3. Using the time scaling property, or otherwise, s...
Exercise 3. Using the time scaling property, or otherwise, show that the signal x (t) = eat u(-t) has Laplace transform with Real(s) < Real(a) as the ROC. We will assume that it makes sense to say that the signal x(t) = s(t) has Laplace transform X (s) = 1 with ROC being the entire complex pl...
$30.00
Mathematics
Question 1 Chess queen problem This is generalisation of t...
Question 1 Chess queen problem This is generalisation of the chess queen problem in m x m chessboards. Given the set of points of the square grid {1, m} x {1, m), for some positive integer m, we want to find a large set of points with no pair in the same row, column or diagonal, i.e., for dis...
$40.00
Mathematics
2. [50 points: (a) 20 points; (b) 10 points; (c) 20 points] ...
2. [50 points: (a) 20 points; (b) 10 points; (c) 20 points] Consider the Euler Bernoulli beam equation = x < where k(x) > 0. Consider boundary conditions describing a beam that is clamped at both ends: u(0)=u(1)=0; = = u' = We apply the finite element method to find the approximation of...
$10.00
Mathematics
3. Spin the Bottle 15 points Suppose we play a variant of ...
3. Spin the Bottle 15 points Suppose we play a variant of "spin the bottle" where the players line up against a long wall. The bottle is located at distance d from the wall, and we spin it such that it always ends up pointing at a random angle 0 uniformly distributed between - and /2. ...
$14.00
Mathematics
4.18. Let { X, } be any stationary series with continuous s...
4.18. Let { X, } be any stationary series with continuous spectral density f such that 0 f () < K and f () # 0. Let fn () denote the spectral density of the differenced series {(1 - B)"X1}. (a) Express fn(1) in terms of In - 1 () and hence evaluate fn(). (b) Show that 0 as n 00 for ea...
$12.00
Engineering
The basic goal of this home work is to get you familiar with...
The basic goal of this home work is to get you familiar with Laplace transforms. The Laplace transform of the signal r(t) is a function X(s) that is defined for complex values of S by the integral X = 00 80 provided the integral converges. It can be shown that in general the values of S for whi...
$25.00
Mathematics
1. [50 points: (a),(b),(c) 10 points each; (d) 20 points] Co...
1. [50 points: (a),(b),(c) 10 points each; (d) 20 points] Consider the steady-state boundary value problem with periodic boundary conditions = = - = Define the vector space of continuous functions with periodic boundary conditions as u(-1) = u(1), u'(-1) = u'(1)} and define the operator Lp: CB[...
$15.00
Mathematics
2. Stochastic Calculus We begin by recalling the definition...
2. Stochastic Calculus We begin by recalling the definition of an Itô process: df(t)=(t,f(t)) dt + o (t, f(t)) dW(t), where W (t) is a standard Brownian motion. = + 1829 (df)2 , = at + 2 ) We now have at hand all the tools we need. We postulate a two-asset vector price process: dS0 = roodt, d...
$86.00
Mathematics
1. [50 points: (a),(b),(c) 10 points each; (d) 20 points] Co...
1. [50 points: (a),(b),(c) 10 points each; (d) 20 points] Consider the steady-state boundary value problem with periodic boundary conditions - = - = Define the vector space of continuous functions with periodic boundary conditions as u ( - -1) = u(1), u (-1) - = u' and define the operator Lp : ...
$15.00
Mathematics
1.1 Use the index notation to prove the following identities...
1.1 Use the index notation to prove the following identities: b) V X (a X b) = b - Va - a . Vb + aV.b . - bV . a d) V X (V X a) = V(V.a) - 7²a e) V. (a X b) =(Vxa).b-(vxb).a = . - .
$18.00
Physics
NiCo Decay Calculate the luminosity for a supernova with ...
NiCo Decay Calculate the luminosity for a supernova with initial Ni mass of 0.1 M_ {sun}, at 100d after explosion, including both 56Ni and 56Co decay.
$27.00
Mathematics
4.17. The spectral density of a real-valued process {X,} is ...
4.17. The spectral density of a real-valued process {X,} is defined on by (()) = 1 0, 100, /6 - .01 < A < T/6 + .01, otherwise, and on [-,01 - by ((i) = f(-i). (a) Evaluate the covariance function of (X,} at lags 0 and 1. (b) Find the spectral density of the process { Y} where Y,: V12X,...
$21.00
Physics
White dwarfs III (i) What is the thermal energy stored in a...
White dwarfs III (i) What is the thermal energy stored in a white dwarf of temperature T = 107 K and a mass of 1 Mo ? 100% 12 C (ii) Assuming that the white dwarf radiates like a black body of temperature T = 10 K, estimate its lifetime as a luminous object.
$24.00
Physics
2) Consider a cloud in which n(H) = 108m-3,n(e) = 105m-³, = ...
2) Consider a cloud in which n(H) = 108m-3,n(e) = 105m-³, = depletion factor is 0.2 at a temperature of 200 K. Suppose the cooling occurs solely by the cooling of CII (C+) by collisions with hydrogen. a) Calculate the cooling time in years. b) Assume the excitation is dominated by the collision ...
$29.00
Physics
Consider the decay TT YY in the CM. Assume a cartesian coor...
Consider the decay TT YY in the CM. Assume a cartesian coordinate system x*, y*, z*, and the polar coordinates p+,0+,6* In this reference frame, the decay is isotropic. a) Give the expression of the probability per unit solid angle, 0*) = of observing a photon in the direction ,6* b) Then consi...
$20.00
Physics
Type la SN: a) Given a total radiated energy of 10^{50} e...
Type la SN: a) Given a total radiated energy of 10^{50} erg, and that the energy entirely comes from Ni to Fe decay, determine the amount of Ni mass (in units of M_{sun}) required. b) How long does it take for the luminosity to drop by a factor of 10 during the phase that Co decay dominates th...
$29.00
Mathematics
2. Find a Missing Book 15 points You move to a new apartme...
2. Find a Missing Book 15 points You move to a new apartment and pack your statistics textbook in one of N crates. You start searching for it but the crates are pretty full, so even if you search the right crate you may not find it. Let Ti E [0,1] be the probability that you find the book in cra...
$18.00
Physics
9. Find the relation between the rate of change of angular p...
9. Find the relation between the rate of change of angular position of a particle in a circular orbit with respect to proper time and the Schwarzschild radius of the orbit. Compare with (9.46). From Hartle page 200: Angular Velocity in Stable Circular Orbit 12² = " IZ M (circular orbits)...
$18.00
Mathematics
(1) [5 points] For x, y € C", recall that n = (1) k...
(1) [5 points] For x, y € C", recall that n = (1) k=1 If x, y, 2 E Cn and a, B €.C, prove that (ax + By,z) = a(x,2) + B(y,2). (2) [5 points] For x E C", recall that n == (2) k=1 If x € Cn and a € C, use properties of the modulus to prove that (3) [5 points] If p(z) = 22 + a12 +...
$33.00
Mathematics
4. Fitting a Spectral Line 30 points A spectrometer is use...
4. Fitting a Spectral Line 30 points A spectrometer is used to record X-ray photons with energies between 0 and 5 keV. The spec- trometer has 50 channels with a resolution of 0.1 keV per channel. An X-ray spectrum with counts ni in channel i is available in the file xray _data. txt. 50 40 30 ...
$146.00
Mathematics
(8 pts.) Given that A is 3x3 and that det(A) = 3, find a) d...
(8 pts.) Given that A is 3x3 and that det(A) = 3, find a) det(A^T) b) det(-3A) c) det(A^-1) d) det(A^-4)
$13.00
Physics
1) Assume there are only two phases in the interstellar medi...
1) Assume there are only two phases in the interstellar medium, both atomic. The first is the cold neutral medium (CNM), characterized by a kinetic temperature of 80 K and the 21 cm hydrogen line width (FWHM) of 2 km/s. The other phase is the warm neutral medium (WNM) and assume it has a kinetic ...
$33.00
Mathematics
4. Fitting a Spectral Line 30 points A spectrometer is use...
4. Fitting a Spectral Line 30 points A spectrometer is used to record X-ray photons with energies between 0 and 5 keV. The spec- trometer has 50 channels with a resolution of 0.1 keV per channel. An X-ray spectrum with counts ni in channel i is available in the file xray_data.txt 50 40 30 20...
$44.00
Physics
6.) Two identical springs of equilibrium length L and spring...
6.) Two identical springs of equilibrium length L and spring stiffness k are attached to opposite sides of a block of mass M to two parallel walls a distance 2L from each other. How much work is required to pull the spring back a distance x along the center line between the walls?
$8.00
Engineering
Question 8 - 20 marks In the following, parts (a), (b), (c)...
Question 8 - 20 marks In the following, parts (a), (b), (c) and (d) should be attempted by hand, using a calculator where necessary but without using a computer. Parts (e), (f) and (g) will require the use of a computer. Consider the two-dimensional map Xn+1 = f(xn), where, for x = (x y) = ax ...
$43.00
Physics
Task: Derive conserved energy and angular momentum (9.21) a...
Task: Derive conserved energy and angular momentum (9.21) and (9.22) on page 193 of Hartle from Killing vectors (9.2) and (9.4) on page 187. From Hartle's pages 186-187 - I ds² = - (1-2011 1 - 2GM ) (c dt)2 + ( 1 -2GM - 2GM ctr dr2+ r2 (de² + sin² dd?) Schwarzschild Metric (9.1
$11.00
Mathematics
4.19. Determine the power transfer function of the time-inva...
4.19. Determine the power transfer function of the time-invariant linear filter with coefficients to = 1, 4 1 = - 2, 4/2 = 1 and 45 = 0 for j # 0, 1 or 2. If you wish to use the filter to suppress sinusoidal oscillations with period 6, what value of a should you use? If the filter is applied to t...
$13.00
Mathematics
1. Basic Probability and Logic 10 points Suppose A and B a...
1. Basic Probability and Logic 10 points Suppose A and B are independent events. Show that A and B are also independent events.
$13.00
Physics
10. Find the linear velocity of a particle in a circular orb...
10. Find the linear velocity of a particle in a circular orbit of radius R in the Schwarzschild geometry that would be measured by a stationary observer stationed at one point on the orbit. What is its value at the ISCO?
$21.00
Mathematics
3. Partial Differential Equations The Black-Scholes-Merton ...
3. Partial Differential Equations The Black-Scholes-Merton (BSM or just BS) PDE for the value C(t, S) of a derivative security as a function of time t and underlying asset price level S(t) = S takes the form: + - = r where o is the (logarithmic) volatility of the asset price S(t), r is the risk...
$98.00
Mathematics
5. First-Order ODEs The initial value problem for the const...
5. First-Order ODEs The initial value problem for the constant coefficients Riccati differential equation: Vt > 0 : y' t, = (1) = appears in a variety of modelling contexts, from population dynamics to the electrostatics of dispersed media. (a) Integrate the ODE above to find the general s...
$75.00
Mathematics
Compare the two functions in the following graph. 40 g(x) ...
Compare the two functions in the following graph. 40 g(x) 36 32 28 24 20 16 f(2) 12 8 4 4 3 -2 1 1 2 3 -4 - -8 c 2018 StrongMind. Created using GeoGebra. Which statements about the functions are true? There is more than one correct answer. Select all correct answers. The av...
$18.00
Mathematics
Fundamentals of Mathematical Methods and Mechanics Question...
Fundamentals of Mathematical Methods and Mechanics Question 1 5 pts A differential equation is given by, #== with the initial condition y(0)=1. Find the value of y when x=1.70. Give your answer to 4 decimal places. Question 2 5 pts A differential equation is given by, = xc with the initia...
$110.00
Mathematics
an has a bank account that earns interest. The value, V, in ...
an has a bank account that earns interest. The value, V, in dollars, of lan's account after t years can be modeled by the exponential function V(t) = 5000(1.025². lan claims that the value of his bank account grows by an equal factor each year. To prove his claim, which equation must he show to...
$3.00
Mathematics
Geometry Homework Question 1 Name the following solids:Que...
Geometry Homework Question 1 Name the following solids:Question 2 How many faces, vertices and edges the following solids have? faces vertices Octagonal Prism edges faces vertices Pentagonal edges Prism Question 3 Identify the figure. Then name the bases, faces, edges, and vertices. ...
$50.00
Mathematics
7 show that if A is 9 collection of induct tive sets, then ...
7 show that if A is 9 collection of induct tive sets, then the intersection of the elements of A is an inductive set? b poove the basic properties (1) and(2) oft, 8 a prove by induction that given nez, every nonemptr subset + of E1,-in? has alargest element? b Explain why You can not conclu...
$85.00
Mathematics
III Write each of the following as complex numbers in the s...
III Write each of the following as complex numbers in the standard from Xtrye a 1/2 6 " ILL 6-3i C (i-1 3 21+6 d 12i-4) 2 e junts, / nEZ t (1/2 2 - viii) 2 9 (VE 2 +vzi) z 8 (2/ Find theveal and imaginary parts of s- 9 (i+1) (i-11 e Z2 Z - 1 - 6 it! 1-1 DZ"227+6 . ...
$28.00
Computer Science
1. Define : Compiler, Source code, Object code, and Executab...
1. Define : Compiler, Source code, Object code, and Executable code 2. What is comment. Give an example 3. What is preprocessor directive. Give an example. 4. What is iostream. Give an example. 5. What is main() function. Give an example. 6. What is function. Give an example. 7. Explain open b...
$30.00
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        1 x eloquent.booted: App\Models\Meta (0%)
        36μs
        4 x composing: components.faq-item (0%)
        32μs
        1 x composing: site.blocks.how-it-works (0%)
        19μs
        1 x composing: site.blocks.help-from-tutors (0%)
        13μs
        1 x composing: site.layouts.app (0%)
        12μs
      22 templates were rendered
      • 1x homework.indexindex.blade.phpblade
      • 1x components.breadcrumbsbreadcrumbs.blade.phpblade
      • 1x site.blocks.how-it-workshow-it-works.blade.phpblade
      • 1x components.faq-defaultsfaq-defaults.blade.phpblade
      • 4x components.faq-itemfaq-item.blade.phpblade
      • 1x components.submit-homeworksubmit-homework.blade.phpblade
      • 1x site.blocks.help-from-tutorshelp-from-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 college-homework-library/{category?}/{subject?}
      middleware
      web, utm.parameters
      controller
      App\Http\Controllers\HomeworkLibraryController@index
      namespace
      where
      as
      homework.index
      file
      app/Http/Controllers/HomeworkLibraryController.php:47-74
      475 statements were executed, 464 of which were duplicates, 11 unique. Show only duplicated577ms
      twenty4_site
      • Connection Establishedtwenty4_siteMetaService.php#139
        Backtrace
        • 13. app/Services/MetaService.php:139
        • 14. app/Http/Controllers/HomeworkLibraryController.php:62
        • 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` = 'Structural-Engineering' limit 1
        21.43mstwenty4_siteMetaService.php#139
        Bindings
        • 0: Structural-Engineering
        Backtrace
        • 15. app/Services/MetaService.php:139
        • 16. app/Http/Controllers/HomeworkLibraryController.php:62
        • 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 `meta` where `meta`.`id` = 8 limit 1
        890μstwenty4_siteMetaService.php#118
        Bindings
        • 0: 8
        Backtrace
        • 19. app/Services/MetaService.php:118
        • 20. app/Services/MetaService.php:113
        • 21. app/Services/MetaService.php:139
        • 22. app/Http/Controllers/HomeworkLibraryController.php:62
        • 23. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • select count(*) as aggregate from `solutionslibrary` inner join `subjects` on `subjects`.`id` = `solutionslibrary`.`subject` inner join `subject_cats` on `subject_cats`.`id` = `subjects`.`catID` where `status` = 'published' and `price` > 0
        990μstwenty4_siteHomeworkLibraryController.php#195
        Bindings
        • 0: published
        • 1: 0
        Backtrace
        • 15. app/Http/Controllers/HomeworkLibraryController.php:195
        • 16. app/Http/Controllers/HomeworkLibraryController.php:65
        • 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 `solutionslibrary`.*, `subjects`.`title` as `subjectTitle`, `subjects`.`urlFriendlyTitle` as `subjectUrl`, `subject_cats`.`title` as `categoryTitle`, `subject_cats`.`urlFriendlyTitle` as `categoryUrl`, subject_cats.title IN ('Engineering','Mathematics','Physics','Computer Science','Architecture','Chemistry') as priority from `solutionslibrary` inner join `subjects` on `subjects`.`id` = `solutionslibrary`.`subject` inner join `subject_cats` on `subject_cats`.`id` = `subjects`.`catID` where `status` = 'published' and `price` > 0 order by priority DESC, solutionslibrary.date_published DESC, solutionslibrary.id DESC limit 51 offset 0
        3.26mstwenty4_siteHomeworkLibraryController.php#195
        Bindings
        • 0: published
        • 1: 0
        Backtrace
        • 15. app/Http/Controllers/HomeworkLibraryController.php:195
        • 16. app/Http/Controllers/HomeworkLibraryController.php:65
        • 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 `subjects` where `subjects`.`id` in (2, 3, 6, 8, 9, 10, 16, 34, 52, 60, 121, 123, 134, 223, 226, 259, 268, 269, 346, 356, 512)
        4.83mstwenty4_siteHomeworkLibraryController.php#195
        Backtrace
        • 20. app/Http/Controllers/HomeworkLibraryController.php:195
        • 21. app/Http/Controllers/HomeworkLibraryController.php:65
        • 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 `subjects` order by `title` asc
        33.7mstwenty4_siteSubject.php#133
        Backtrace
        • 14. app/Models/Subject.php:133
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Models/Subject.php:142
        • 19. app/Http/Controllers/HomeworkLibraryController.php:68
      • select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1
        1.01mstwenty4_siteSubject.php#139
        Bindings
        • 0: 3
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 12 limit 1
        810μstwenty4_siteSubject.php#139
        Bindings
        • 0: 12
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        1.33mstwenty4_siteSubject.php#139
        Bindings
        • 0: 1
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1
        880μstwenty4_siteSubject.php#139
        Bindings
        • 0: 4
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1
        810μstwenty4_siteSubject.php#139
        Bindings
        • 0: 4
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1
        1.58mstwenty4_siteSubject.php#139
        Bindings
        • 0: 4
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 5 limit 1
        790μstwenty4_siteSubject.php#139
        Bindings
        • 0: 5
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 5 limit 1
        710μstwenty4_siteSubject.php#139
        Bindings
        • 0: 5
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        900μstwenty4_siteSubject.php#139
        Bindings
        • 0: 1
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 25 limit 1
        860μstwenty4_siteSubject.php#139
        Bindings
        • 0: 25
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        830μstwenty4_siteSubject.php#139
        Bindings
        • 0: 1
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        820μstwenty4_siteSubject.php#139
        Bindings
        • 0: 1
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 10 limit 1
        1.04mstwenty4_siteSubject.php#139
        Bindings
        • 0: 10
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1
        820μstwenty4_siteSubject.php#139
        Bindings
        • 0: 4
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 36 limit 1
        780μstwenty4_siteSubject.php#139
        Bindings
        • 0: 36
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 2 limit 1
        790μstwenty4_siteSubject.php#139
        Bindings
        • 0: 2
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        910μstwenty4_siteSubject.php#139
        Bindings
        • 0: 1
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        820μstwenty4_siteSubject.php#139
        Bindings
        • 0: 1
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 19 limit 1
        750μstwenty4_siteSubject.php#139
        Bindings
        • 0: 19
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 9 limit 1
        710μstwenty4_siteSubject.php#139
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        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 36 limit 1
        790μstwenty4_siteSubject.php#139
        Bindings
        • 0: 36
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 35 limit 1
        1.19mstwenty4_siteSubject.php#139
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        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 35 limit 1
        900μstwenty4_siteSubject.php#139
        Bindings
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        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 22 limit 1
        920μstwenty4_siteSubject.php#139
        Bindings
        • 0: 22
        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 22 limit 1
        980μstwenty4_siteSubject.php#139
        Bindings
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        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 5 limit 1
        870μstwenty4_siteSubject.php#139
        Bindings
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        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1
        910μstwenty4_siteSubject.php#139
        Bindings
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        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        890μstwenty4_siteSubject.php#139
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        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 9 limit 1
        820μstwenty4_siteSubject.php#139
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        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 15 limit 1
        800μstwenty4_siteSubject.php#139
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        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 22 limit 1
        1.55mstwenty4_siteSubject.php#139
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        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
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        970μstwenty4_siteSubject.php#139
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        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 26 limit 1
        960μstwenty4_siteSubject.php#139
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        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 26 limit 1
        920μstwenty4_siteSubject.php#139
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        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 26 limit 1
        930μstwenty4_siteSubject.php#139
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        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 26 limit 1
        930μstwenty4_siteSubject.php#139
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        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
      • select * from `subject_cats` where `subject_cats`.`id` = 26 limit 1
        1.99mstwenty4_siteSubject.php#139
        Bindings
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        Backtrace
        • 20. app/Models/Subject.php:139
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        • 20. app/Models/Subject.php:139
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        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
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        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
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        780μstwenty4_siteSubject.php#139
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        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
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        780μstwenty4_siteSubject.php#139
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        Backtrace
        • 20. app/Models/Subject.php:139
        • 25. app/Models/Subject.php:141
        • 26. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 27. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 29. app/Models/Subject.php:142
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        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 31. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 32. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
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        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 31. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 32. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
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        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 31. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
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        • 30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 31. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
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        • 29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 31. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 32. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
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        Backtrace
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        • 29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 31. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 32. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
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        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 31. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 32. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
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        • 29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 31. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
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        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 31. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 32. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
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        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
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        • 29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
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        • 29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 31. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 32. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
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        Backtrace
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        • 29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
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        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 31. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
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        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 31. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 32. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
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        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
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        • 13. app/View/Components/FaqDefaults.php:24
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        • 21. vendor/area17/twill/src/Models/Behaviors/HasSlug.php:326
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