Calculate the coefficient of static friction and coefficient of kin...

Question
Solution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references.
Students may use these solutions for personal skill-building and practice.
Unethical use is strictly forbidden.

This is only a preview of the solution.
Please use the purchase button to see the entire solution.
By purchasing this solution you'll be able to access the following files:
Solution.pdf
Purchase Solution
$15.00
Google Pay
Amazon
Paypal
Mastercard
Visacard
Discover
Amex
View Available Physics Tutors 529 tutors matched
ionut
Ionut
(ionut)
Hi! MSc Applied Informatics & Computer Science Engineer. Practical experience in many CS & IT branches.Research work & homework
5/5 (5,654+ sessions)
2 hours avg response
Leo
Leo
(Leo)
Hi! I have been a professor in New York and taught in a math department and in an applied math department.
4.9/5 (5,652+ sessions)
2 hours avg response
Pranay
(math1983)
Ph.D. in mathematics and working as an Assistant Professor in University. I can provide help in mathematics, statistics and allied areas.
4.6/5 (5,512+ sessions)
1 hour avg response

Similar Homework Solutions

8.1.0PHP Version696msRequest Duration45MBMemory UsageGET college-homework-library/{category}/{subject}/{id}Route
    • Booting (371ms)time
    • Application (325ms)time
    • 1 x Booting (53.27%)
      371ms
      1 x Application (46.73%)
      325ms
      • Illuminate\Routing\Events\Routing (4.4ms)
      • Illuminate\Routing\Events\RouteMatched (1.29ms)
      • Illuminate\Foundation\Events\LocaleUpdated (6.44ms)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (298μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (217μs)
      • Illuminate\Database\Events\ConnectionEstablished (1.72ms)
      • Illuminate\Database\Events\StatementPrepared (42.27ms)
      • Illuminate\Database\Events\QueryExecuted (1.34ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (188μs)
      • eloquent.booting: App\Models\Subject (144μs)
      • eloquent.booted: App\Models\Subject (63μs)
      • Illuminate\Database\Events\StatementPrepared (2.78ms)
      • Illuminate\Database\Events\QueryExecuted (1.18ms)
      • eloquent.retrieved: App\Models\Subject (135μs)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (148μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (61μs)
      • Illuminate\Database\Events\StatementPrepared (744μs)
      • Illuminate\Database\Events\QueryExecuted (3.13ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (81μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (17μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
      • eloquent.booting: App\Models\SubjectCat (520μs)
      • eloquent.booted: App\Models\SubjectCat (61μs)
      • Illuminate\Database\Events\StatementPrepared (793μs)
      • Illuminate\Database\Events\QueryExecuted (1.12ms)
      • eloquent.retrieved: App\Models\SubjectCat (122μs)
      • Illuminate\Cache\Events\CacheHit (17.8ms)
      • Illuminate\Cache\Events\CacheMissed (935μs)
      • Illuminate\Database\Events\StatementPrepared (756μs)
      • Illuminate\Database\Events\QueryExecuted (14.73ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (66μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (16μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
      • 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 (745μs)
      • Illuminate\Database\Events\QueryExecuted (1.46ms)
      • eloquent.retrieved: App\Models\Subject (90μs)
      • Illuminate\Cache\Events\KeyWritten (1.76ms)
      • Illuminate\Database\Events\StatementPrepared (3.05ms)
      • Illuminate\Database\Events\QueryExecuted (3.84ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (54μs)
      • Illuminate\Database\Events\StatementPrepared (1.13ms)
      • Illuminate\Database\Events\QueryExecuted (1.29ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (42μs)
      • Illuminate\Database\Events\StatementPrepared (2.03ms)
      • Illuminate\Database\Events\QueryExecuted (1.17ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (343μs)
      • Illuminate\Cache\Events\CacheHit (416μs)
      • creating: homework.show (386μs)
      • composing: homework.show (249μs)
      • creating: components.breadcrumbs (264μs)
      • composing: components.breadcrumbs (173μs)
      • Illuminate\Database\Events\StatementPrepared (1.66ms)
      • Illuminate\Database\Events\QueryExecuted (1.02ms)
      • eloquent.retrieved: App\Models\SubjectCat (89μs)
      • Illuminate\Cache\Events\CacheMissed (7.97ms)
      • Illuminate\Database\Events\StatementPrepared (775μs)
      • Illuminate\Database\Events\QueryExecuted (2.52ms)
      • eloquent.retrieved: App\Models\SubjectCat (96μs)
      • Illuminate\Cache\Events\KeyWritten (556μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (370μs)
      • Illuminate\Cache\Events\CacheHit (586μs)
      • Illuminate\Cache\Events\CacheHit (411μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (333μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (140μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (150μs)
      • Illuminate\Cache\Events\CacheMissed (191μs)
      • Illuminate\Database\Events\StatementPrepared (839μs)
      • Illuminate\Database\Events\QueryExecuted (918μs)
      • eloquent.retrieved: App\Models\SubjectCat (272μs)
      • Illuminate\Cache\Events\KeyWritten (701μs)
      • Illuminate\Cache\Events\CacheHit (840μs)
      • Illuminate\Cache\Events\CacheHit (601μs)
      • Illuminate\Cache\Events\CacheHit (736μs)
      • Illuminate\Cache\Events\CacheHit (294μs)
      • Illuminate\Cache\Events\CacheHit (349μs)
      • Illuminate\Cache\Events\CacheHit (2.57ms)
      • Illuminate\Cache\Events\CacheHit (276μs)
      • Illuminate\Cache\Events\CacheMissed (4.17ms)
      • Illuminate\Database\Events\StatementPrepared (1.7ms)
      • Illuminate\Database\Events\QueryExecuted (4.02ms)
      • eloquent.retrieved: App\Models\SubjectCat (211μs)
      • Illuminate\Cache\Events\KeyWritten (550μs)
      • Illuminate\Cache\Events\CacheHit (1.19ms)
      • Illuminate\Cache\Events\CacheHit (251μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (455μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (289μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (287μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (367μs)
      • Illuminate\Cache\Events\CacheHit (437μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (294μs)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheMissed (304μs)
      • Illuminate\Database\Events\StatementPrepared (959μs)
      • Illuminate\Database\Events\QueryExecuted (5.04ms)
      • eloquent.retrieved: App\Models\SubjectCat (68μs)
      • Illuminate\Cache\Events\KeyWritten (1.61ms)
      • Illuminate\Cache\Events\CacheHit (418μs)
      • Illuminate\Cache\Events\CacheHit (338μs)
      • Illuminate\Cache\Events\CacheHit (289μs)
      • Illuminate\Cache\Events\CacheHit (241μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (248μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (241μs)
      • Illuminate\Cache\Events\CacheHit (283μs)
      • Illuminate\Cache\Events\CacheHit (5.97ms)
      • Illuminate\Cache\Events\CacheHit (420μs)
      • Illuminate\Cache\Events\CacheHit (1.16ms)
      • Illuminate\Cache\Events\CacheHit (278μs)
      • Illuminate\Cache\Events\CacheHit (574μs)
      • Illuminate\Cache\Events\CacheHit (5.11ms)
      • Illuminate\Cache\Events\CacheHit (296μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (3.79ms)
      • Illuminate\Cache\Events\CacheHit (282μs)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (4.02ms)
      • Illuminate\Cache\Events\CacheHit (1.06ms)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (3.31ms)
      • Illuminate\Cache\Events\CacheHit (384μs)
      • Illuminate\Cache\Events\CacheHit (264μs)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheMissed (192μs)
      • Illuminate\Database\Events\StatementPrepared (779μs)
      • Illuminate\Database\Events\QueryExecuted (1.15ms)
      • eloquent.retrieved: App\Models\SubjectCat (97μs)
      • Illuminate\Cache\Events\KeyWritten (509μs)
      • Illuminate\Cache\Events\CacheHit (8.39ms)
      • Illuminate\Cache\Events\CacheHit (270μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheMissed (3.04ms)
      • Illuminate\Database\Events\StatementPrepared (4.05ms)
      • Illuminate\Database\Events\QueryExecuted (1.16ms)
      • eloquent.retrieved: App\Models\SubjectCat (63μs)
      • Illuminate\Cache\Events\KeyWritten (368μs)
      • Illuminate\Cache\Events\CacheHit (1.87ms)
      • Illuminate\Cache\Events\CacheHit (854μs)
      • Illuminate\Cache\Events\CacheHit (241μs)
      • Illuminate\Cache\Events\CacheHit (244μs)
      • Illuminate\Cache\Events\CacheHit (399μs)
      • Illuminate\Cache\Events\CacheHit (290μs)
      • Illuminate\Cache\Events\CacheHit (420μs)
      • Illuminate\Cache\Events\CacheHit (274μs)
      • Illuminate\Cache\Events\CacheHit (475μs)
      • Illuminate\Cache\Events\CacheHit (482μs)
      • Illuminate\Cache\Events\CacheHit (343μs)
      • Illuminate\Cache\Events\CacheHit (1.63ms)
      • Illuminate\Cache\Events\CacheHit (253μs)
      • Illuminate\Cache\Events\CacheHit (671μs)
      • Illuminate\Cache\Events\CacheHit (221μs)
      • Illuminate\Cache\Events\CacheHit (470μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (234μs)
      • Illuminate\Cache\Events\CacheHit (394μs)
      • Illuminate\Cache\Events\CacheMissed (358μs)
      • Illuminate\Database\Events\StatementPrepared (1.34ms)
      • Illuminate\Database\Events\QueryExecuted (1.2ms)
      • eloquent.retrieved: App\Models\SubjectCat (104μs)
      • Illuminate\Cache\Events\KeyWritten (565μs)
      • Illuminate\Cache\Events\CacheHit (1.33ms)
      • Illuminate\Cache\Events\CacheHit (276μs)
      • Illuminate\Cache\Events\CacheHit (360μs)
      • Illuminate\Cache\Events\CacheHit (529μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (559μs)
      • Illuminate\Cache\Events\CacheHit (229μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (242μs)
      • Illuminate\Cache\Events\CacheHit (443μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (296μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (482μs)
      • Illuminate\Cache\Events\CacheHit (737μs)
      • Illuminate\Cache\Events\CacheHit (424μs)
      • Illuminate\Cache\Events\CacheHit (579μs)
      • Illuminate\Cache\Events\CacheHit (243μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (344μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (347μs)
      • Illuminate\Cache\Events\CacheHit (451μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (528μs)
      • Illuminate\Cache\Events\CacheHit (676μs)
      • Illuminate\Cache\Events\CacheHit (275μs)
      • Illuminate\Cache\Events\CacheHit (348μs)
      • Illuminate\Cache\Events\CacheHit (531μs)
      • Illuminate\Cache\Events\CacheHit (506μs)
      • Illuminate\Cache\Events\CacheHit (315μs)
      • Illuminate\Cache\Events\CacheHit (314μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (277μs)
      • Illuminate\Cache\Events\CacheHit (439μs)
      • Illuminate\Cache\Events\CacheHit (962μs)
      • Illuminate\Cache\Events\CacheHit (549μs)
      • Illuminate\Cache\Events\CacheHit (492μs)
      • Illuminate\Cache\Events\CacheHit (229μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (380μs)
      • Illuminate\Cache\Events\CacheHit (437μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (385μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (373μs)
      • Illuminate\Cache\Events\CacheHit (234μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (253μs)
      • Illuminate\Cache\Events\CacheHit (611μs)
      • Illuminate\Cache\Events\CacheHit (356μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheMissed (325μs)
      • Illuminate\Database\Events\StatementPrepared (753μs)
      • Illuminate\Database\Events\QueryExecuted (1.35ms)
      • eloquent.retrieved: App\Models\SubjectCat (124μs)
      • Illuminate\Cache\Events\KeyWritten (2.2ms)
      • Illuminate\Cache\Events\CacheHit (755μs)
      • Illuminate\Cache\Events\CacheHit (742μs)
      • Illuminate\Cache\Events\CacheHit (266μs)
      • Illuminate\Cache\Events\CacheHit (249μs)
      • Illuminate\Cache\Events\CacheHit (261μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (406μs)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (387μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (368μs)
      • Illuminate\Cache\Events\CacheHit (265μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (1.02ms)
      • Illuminate\Cache\Events\CacheHit (497μs)
      • Illuminate\Cache\Events\CacheHit (1.42ms)
      • Illuminate\Cache\Events\CacheHit (544μs)
      • Illuminate\Cache\Events\CacheHit (1.07ms)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (280μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (328μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (233μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (379μs)
      • Illuminate\Cache\Events\CacheHit (353μs)
      • Illuminate\Cache\Events\CacheHit (600μs)
      • Illuminate\Cache\Events\CacheHit (242μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (539μs)
      • Illuminate\Cache\Events\CacheHit (623μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (355μs)
      • Illuminate\Cache\Events\CacheHit (304μs)
      • Illuminate\Cache\Events\CacheHit (303μs)
      • Illuminate\Cache\Events\CacheHit (374μs)
      • Illuminate\Cache\Events\CacheHit (229μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (234μs)
      • Illuminate\Cache\Events\CacheHit (296μs)
      • Illuminate\Cache\Events\CacheHit (301μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (223μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (362μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (437μs)
      • Illuminate\Cache\Events\CacheHit (221μs)
      • Illuminate\Cache\Events\CacheHit (285μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (297μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (414μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (550μs)
      • Illuminate\Cache\Events\CacheHit (369μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (293μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheMissed (182μs)
      • Illuminate\Database\Events\StatementPrepared (790μs)
      • Illuminate\Database\Events\QueryExecuted (908μs)
      • eloquent.retrieved: App\Models\SubjectCat (94μs)
      • Illuminate\Cache\Events\KeyWritten (351μs)
      • Illuminate\Cache\Events\CacheHit (1.06ms)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (254μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (295μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (229μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • creating: site.layouts.app (515μs)
      • composing: site.layouts.app (27μs)
      • creating: components.canonical (514μs)
      • composing: components.canonical (105μs)
      • creating: components.open-graph (207μs)
      • composing: components.open-graph (77μs)
      • creating: site.headers.header (548μs)
      • composing: site.headers.header (90μs)
      • Illuminate\Cache\Events\CacheHit (2.42ms)
      • creating: components.footer (89μs)
      • composing: components.footer (96μs)
      • Illuminate\Cache\Events\CacheHit (1.39ms)
      • Illuminate\Cache\Events\CacheMissed (470μs)
      • Illuminate\Database\Events\StatementPrepared (846μs)
      • Illuminate\Database\Events\QueryExecuted (1.03ms)
      • eloquent.retrieved: App\Models\SubjectCat (98μs)
      • Illuminate\Cache\Events\KeyWritten (356μs)
      • Illuminate\Cache\Events\CacheHit (256μs)
      • Illuminate\Cache\Events\CacheHit (137μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (117μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (268μs)
      • Illuminate\Cache\Events\CacheHit (314μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (257μs)
      • Illuminate\Cache\Events\CacheHit (274μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • creating: components.forms.contact-us (275μs)
      • composing: components.forms.contact-us (177μs)
      • creating: components.forms.get-started (192μs)
      • composing: components.forms.get-started (88μs)
      • creating: components.forms.free-tool-download (149μs)
      • composing: components.forms.free-tool-download (77μs)
      • creating: components.forms.claim-free-worksheet (202μs)
      • composing: components.forms.claim-free-worksheet (81μs)
      • creating: components.forms.tutor-subscription-waitlist (146μs)
      • composing: components.forms.tutor-subscription-waitlist (75μs)
      • creating: components.forms.tutor-subscription-join (138μs)
      • composing: components.forms.tutor-subscription-join (74μs)
      • creating: components.forms.tutor-support (137μs)
      • composing: components.forms.tutor-support (76μs)
      • 311 x Illuminate\Cache\Events\CacheHit (21.25%)
        148ms
        20 x Illuminate\Database\Events\StatementPrepared (9.89%)
        68.80ms
        20 x Illuminate\Database\Events\QueryExecuted (7.13%)
        49.58ms
        11 x Illuminate\Cache\Events\CacheMissed (2.61%)
        18.14ms
        11 x Illuminate\Cache\Events\KeyWritten (1.37%)
        9.53ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (0.93%)
        6.44ms
        1 x Illuminate\Routing\Events\Routing (0.63%)
        4.40ms
        1 x Illuminate\Database\Events\ConnectionEstablished (0.25%)
        1.72ms
        12 x eloquent.retrieved: App\Models\SubjectCat (0.21%)
        1.44ms
        1 x Illuminate\Routing\Events\RouteMatched (0.19%)
        1.29ms
        10 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.08%)
        567μs
        1 x creating: site.headers.header (0.08%)
        548μs
        1 x eloquent.booting: App\Models\SubjectCat (0.07%)
        520μs
        1 x creating: site.layouts.app (0.07%)
        515μs
        1 x creating: components.canonical (0.07%)
        514μs
        1 x creating: homework.show (0.06%)
        386μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)
        312μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)
        298μs
        1 x creating: components.forms.contact-us (0.04%)
        275μs
        1 x creating: components.breadcrumbs (0.04%)
        264μs
        1 x composing: homework.show (0.04%)
        249μs
        2 x eloquent.retrieved: App\Models\Subject (0.03%)
        225μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        217μs
        1 x creating: components.open-graph (0.03%)
        207μs
        1 x creating: components.forms.claim-free-worksheet (0.03%)
        202μs
        1 x creating: components.forms.get-started (0.03%)
        192μs
        1 x composing: components.forms.contact-us (0.03%)
        177μs
        1 x composing: components.breadcrumbs (0.02%)
        173μs
        1 x creating: components.forms.free-tool-download (0.02%)
        149μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)
        148μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.02%)
        146μs
        1 x eloquent.booting: App\Models\Subject (0.02%)
        144μs
        1 x creating: components.forms.tutor-subscription-join (0.02%)
        138μs
        1 x creating: components.forms.tutor-support (0.02%)
        137μs
        1 x composing: components.canonical (0.02%)
        105μs
        1 x composing: components.footer (0.01%)
        96μs
        1 x composing: site.headers.header (0.01%)
        90μs
        1 x creating: components.footer (0.01%)
        89μs
        1 x composing: components.forms.get-started (0.01%)
        88μs
        1 x composing: components.forms.claim-free-worksheet (0.01%)
        81μs
        1 x composing: components.forms.free-tool-download (0.01%)
        77μs
        1 x composing: components.open-graph (0.01%)
        77μs
        1 x composing: components.forms.tutor-support (0.01%)
        76μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        75μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        74μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        63μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        61μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)
        61μs
        1 x composing: site.layouts.app (0%)
        27μs
      14 templates were rendered
      • 1x homework.showshow.blade.phpblade
      • 1x components.breadcrumbsbreadcrumbs.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}/{id}
      middleware
      web, utm.parameters
      controller
      App\Http\Controllers\HomeworkLibraryController@show
      namespace
      where
      as
      homework.show
      file
      app/Http/Controllers/HomeworkLibraryController.php:79-176
      20 statements were executed, 5 of which were duplicates, 15 unique. Show only duplicated87.48ms
      • Connection Establishedtwenty4_siteHomeworkLibraryController.php#91
        Backtrace
        • 13. app/Http/Controllers/HomeworkLibraryController.php:91
        • 14. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 15. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 16. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary` where `status` = 'published' and `price` > 0 and `solutionslibrary`.`id` = '60052' limit 1
        42.58mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 60052
        Backtrace
        • 16. app/Http/Controllers/HomeworkLibraryController.php:97
        • 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
        • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subjects` where `subjects`.`id` in (268)
        1.14mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 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
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (60052)
        2.25mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 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
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1
        1.12mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 34
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 26. app/Http/Controllers/HomeworkLibraryController.php:105
        • 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 29. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `solutionslibrary` where `id` <> 60052 and `subject` = 268 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        14.74mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 60052
        • 1: 268
        • 2: published
        • 3: 0
        Backtrace
        • 14. app/Repositories/HomeworkLibraryRepository.php:30
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Repositories/HomeworkLibraryRepository.php:39
        • 19. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `subjects` where `subjects`.`id` in (268)
        1.23mstwenty4_siteHomeworkLibraryRepository.php#30
        Backtrace
        • 19. app/Repositories/HomeworkLibraryRepository.php:30
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Repositories/HomeworkLibraryRepository.php:39
        • 24. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 60052 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        1.42mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 60052
        • 1: question
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:58
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 60052 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        1.33mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 60052
        • 1: teaser
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:69
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 60052 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        2.08mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 60052
        • 1: solution
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:80
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1
        1.18mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 34
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 32. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 33. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 34. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 35. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        1.68mstwenty4_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
        1.3mstwenty4_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
        3.27mstwenty4_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` = 10 limit 1
        4.91mstwenty4_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` = 33 limit 1
        1.28mstwenty4_siteSubject.php#100
        Bindings
        • 0: 33
        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` = 11 limit 1
        1.34mstwenty4_siteSubject.php#100
        Bindings
        • 0: 11
        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
        1.17mstwenty4_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` = 34 limit 1
        1.09mstwenty4_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
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 31 limit 1
        1.15mstwenty4_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 `subject_cats` where `subject_cats`.`id` = 36 limit 1
        1.22mstwenty4_siteSubject.php#100
        Bindings
        • 0: 36
        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. view::components.footer:170
      App\Models\SubjectCat
      12SubjectCat.php
      App\Models\HomeworkLibrary\HomeworkLibraryFile
      10HomeworkLibraryFile.php
      App\Models\HomeworkLibrary\HomeworkLibrary
      7HomeworkLibrary.php
      App\Models\Subject
      2Subject.php
          _token
          Q9BQmfAUxm2LzmQ45V8VzHKpd3rk4zD0GLCgPxMM
          utm_source
          direct
          redirectUrl
          /college-homework-library/Physics/Physics-Other/60052
          _previous
          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Physics/Physics...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /college-homework-library/Physics/Physics-Other/60052
          status_code
          200
          
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          
          request_request
          []
          
          request_headers
          0 of 0
          array:21 [ "priority" => array:1 [ 0 => "u=0, i" ] "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "x-amzn-trace-id" => array:1 [ 0 => "Root=1-68071ca7-3410e222272a5cfb5eb318e9" ] "host" => array:1 [ 0 => "staging.dev.24houranswers.com" ] "x-forwarded-port" => array:1 [ 0 => "443" ] "x-forwarded-proto" => array:1 [ 0 => "https" ] "x-forwarded-for" => array:1 [ 0 => "3.148.178.125" ] "content-length" => array:1 [ 0 => "" ] "content-type" => array:1 [ 0 => "" ] ]
          request_cookies
          []
          
          response_headers
          0 of 0
          array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Tue, 22 Apr 2025 04:35:51 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IjFNeE5HZ2pHdHhjbGtsMVZKNXpFTWc9PSIsInZhbHVlIjoiUVhlRUQ0YklwcitkOG9aVmJUbHFpZzc3TEJ2MG1obXdpd09OSm85b0lBSFdOOWtXSGRhTExBT0R4ZnFXcUpndmVXRkh6YzhaL0hrVUhqR2ZIdjV5RUFJamFpWWZnMXdVSUliNEUvbjJaL3NidXYrQVZRR2VBNEtaUElVOVZmd1YiLCJtYWMiOiI5YzBmNGFkYjY4NWIxZTgwODdkYTI0OTRjM2NiYzYwNGUyZGQ3OWU0OTVmNjJjZmRmZWRjZjQ2YzY0OTFhZmZhIiwidGFnIjoiIn0%3D; expires=Tue, 22 Apr 2025 06:35:51 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=laxXSRF-TOKEN=eyJpdiI6IjFNeE5HZ2pHdHhjbGtsMVZKNXpFTWc9PSIsInZhbHVlIjoiUVhlRUQ0YklwcitkOG9aVmJUbHFpZzc3TEJ2MG1obXdpd09OSm85b0lBSFdOOWtXSGRhTExBT0R4ZnFXcUpndmVXRkh6Y" 1 => "24houranswers_session=eyJpdiI6ImVtYUZwSVFNbmVPbDcyNlMzbnBGaVE9PSIsInZhbHVlIjoiZ2FXUlFBR1FiSkdlMC8vVWRhcElqTEJWejBNSkdBK09GdGZsNmNJZWxiRzEyTWhNQmNIL0VENEU3YXJJZXRJQzB0UGRvbks5azk3VkIyZnBMekRxeHRKMEZ3dDJpanI3NVJwWXhnR3FJeDNXc0FXc09DRWNEL1ZML2laNVJHT1ciLCJtYWMiOiI4MjAzNzVkMDAyYmZiZGVhZGVkYTU0OGNmYmY2ZjllYjliNzc3MTgzNzBkMTVhZjVmZjc1M2Q1MzZlYzg2YzZlIiwidGFnIjoiIn0%3D; expires=Tue, 22 Apr 2025 06:35:51 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax24houranswers_session=eyJpdiI6ImVtYUZwSVFNbmVPbDcyNlMzbnBGaVE9PSIsInZhbHVlIjoiZ2FXUlFBR1FiSkdlMC8vVWRhcElqTEJWejBNSkdBK09GdGZsNmNJZWxiRzEyTWhNQmNIL0VENEU3YXJJZX" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IjFNeE5HZ2pHdHhjbGtsMVZKNXpFTWc9PSIsInZhbHVlIjoiUVhlRUQ0YklwcitkOG9aVmJUbHFpZzc3TEJ2MG1obXdpd09OSm85b0lBSFdOOWtXSGRhTExBT0R4ZnFXcUpndmVXRkh6YzhaL0hrVUhqR2ZIdjV5RUFJamFpWWZnMXdVSUliNEUvbjJaL3NidXYrQVZRR2VBNEtaUElVOVZmd1YiLCJtYWMiOiI5YzBmNGFkYjY4NWIxZTgwODdkYTI0OTRjM2NiYzYwNGUyZGQ3OWU0OTVmNjJjZmRmZWRjZjQ2YzY0OTFhZmZhIiwidGFnIjoiIn0%3D; expires=Tue, 22-Apr-2025 06:35:51 GMT; domain=.24houranswers.com; path=/XSRF-TOKEN=eyJpdiI6IjFNeE5HZ2pHdHhjbGtsMVZKNXpFTWc9PSIsInZhbHVlIjoiUVhlRUQ0YklwcitkOG9aVmJUbHFpZzc3TEJ2MG1obXdpd09OSm85b0lBSFdOOWtXSGRhTExBT0R4ZnFXcUpndmVXRkh6Y" 1 => "24houranswers_session=eyJpdiI6ImVtYUZwSVFNbmVPbDcyNlMzbnBGaVE9PSIsInZhbHVlIjoiZ2FXUlFBR1FiSkdlMC8vVWRhcElqTEJWejBNSkdBK09GdGZsNmNJZWxiRzEyTWhNQmNIL0VENEU3YXJJZXRJQzB0UGRvbks5azk3VkIyZnBMekRxeHRKMEZ3dDJpanI3NVJwWXhnR3FJeDNXc0FXc09DRWNEL1ZML2laNVJHT1ciLCJtYWMiOiI4MjAzNzVkMDAyYmZiZGVhZGVkYTU0OGNmYmY2ZjllYjliNzc3MTgzNzBkMTVhZjVmZjc1M2Q1MzZlYzg2YzZlIiwidGFnIjoiIn0%3D; expires=Tue, 22-Apr-2025 06:35:51 GMT; domain=.24houranswers.com; path=/; httponly24houranswers_session=eyJpdiI6ImVtYUZwSVFNbmVPbDcyNlMzbnBGaVE9PSIsInZhbHVlIjoiZ2FXUlFBR1FiSkdlMC8vVWRhcElqTEJWejBNSkdBK09GdGZsNmNJZWxiRzEyTWhNQmNIL0VENEU3YXJJZX" ] ]
          session_attributes
          0 of 0
          array:6 [ "_token" => "Q9BQmfAUxm2LzmQ45V8VzHKpd3rk4zD0GLCgPxMM" "utm_source" => "direct" "redirectUrl" => "/college-homework-library/Physics/Physics-Other/60052" "_previous" => array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Physics/Physics-Other/60052" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]