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
$18.00
Google Pay
Amazon
Paypal
Mastercard
Visacard
Discover
Amex
View Available Mathematics 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 Version675msRequest Duration45MBMemory UsageGET college-homework-library/{category}/{subject}/{id}Route
    • Booting (359ms)time
    • Application (316ms)time
    • 1 x Booting (53.13%)
      359ms
      1 x Application (46.87%)
      316ms
      • Illuminate\Routing\Events\Routing (1.52ms)
      • Illuminate\Routing\Events\RouteMatched (592μs)
      • Illuminate\Foundation\Events\LocaleUpdated (4.5ms)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (297μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (201μs)
      • Illuminate\Database\Events\ConnectionEstablished (1.05ms)
      • Illuminate\Database\Events\StatementPrepared (12.27ms)
      • Illuminate\Database\Events\QueryExecuted (1.33ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (167μs)
      • eloquent.booting: App\Models\Subject (133μs)
      • eloquent.booted: App\Models\Subject (60μs)
      • Illuminate\Database\Events\StatementPrepared (7.74ms)
      • Illuminate\Database\Events\QueryExecuted (9.86ms)
      • eloquent.retrieved: App\Models\Subject (162μs)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (182μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (60μs)
      • Illuminate\Database\Events\StatementPrepared (754μs)
      • Illuminate\Database\Events\QueryExecuted (1.25ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (97μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (20μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (12μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (7μs)
      • eloquent.booting: App\Models\SubjectCat (689μs)
      • eloquent.booted: App\Models\SubjectCat (72μs)
      • Illuminate\Database\Events\StatementPrepared (666μs)
      • Illuminate\Database\Events\QueryExecuted (810μs)
      • eloquent.retrieved: App\Models\SubjectCat (99μs)
      • Illuminate\Cache\Events\CacheHit (33.7ms)
      • Illuminate\Cache\Events\CacheMissed (272μs)
      • Illuminate\Database\Events\StatementPrepared (987μs)
      • Illuminate\Database\Events\QueryExecuted (20.3ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (139μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (23μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (12μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (10μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (10μs)
      • Illuminate\Database\Events\StatementPrepared (876μs)
      • Illuminate\Database\Events\QueryExecuted (958μs)
      • eloquent.retrieved: App\Models\Subject (97μs)
      • Illuminate\Cache\Events\KeyWritten (1.31ms)
      • Illuminate\Database\Events\StatementPrepared (7.42ms)
      • Illuminate\Database\Events\QueryExecuted (1.3ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (160μs)
      • Illuminate\Database\Events\StatementPrepared (950μs)
      • Illuminate\Database\Events\QueryExecuted (1.54ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (78μs)
      • Illuminate\Database\Events\StatementPrepared (773μs)
      • Illuminate\Database\Events\QueryExecuted (2.12ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (54μs)
      • Illuminate\Cache\Events\CacheHit (879μs)
      • creating: homework.show (399μs)
      • composing: homework.show (151μs)
      • creating: components.breadcrumbs (485μs)
      • composing: components.breadcrumbs (166μs)
      • Illuminate\Database\Events\StatementPrepared (10.96ms)
      • Illuminate\Database\Events\QueryExecuted (1.38ms)
      • eloquent.retrieved: App\Models\SubjectCat (117μs)
      • Illuminate\Cache\Events\CacheMissed (7.69ms)
      • Illuminate\Database\Events\StatementPrepared (6.81ms)
      • Illuminate\Database\Events\QueryExecuted (1.25ms)
      • eloquent.retrieved: App\Models\SubjectCat (107μs)
      • Illuminate\Cache\Events\KeyWritten (425μs)
      • Illuminate\Cache\Events\CacheHit (293μs)
      • Illuminate\Cache\Events\CacheHit (248μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (242μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (360μs)
      • Illuminate\Cache\Events\CacheHit (265μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (226μs)
      • Illuminate\Cache\Events\CacheHit (342μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • Illuminate\Cache\Events\CacheMissed (295μs)
      • Illuminate\Database\Events\StatementPrepared (6.85ms)
      • Illuminate\Database\Events\QueryExecuted (1.84ms)
      • eloquent.retrieved: App\Models\SubjectCat (102μs)
      • Illuminate\Cache\Events\KeyWritten (444μs)
      • Illuminate\Cache\Events\CacheHit (376μs)
      • Illuminate\Cache\Events\CacheHit (256μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (270μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (240μs)
      • Illuminate\Cache\Events\CacheMissed (271μs)
      • Illuminate\Database\Events\StatementPrepared (3.63ms)
      • Illuminate\Database\Events\QueryExecuted (4.58ms)
      • eloquent.retrieved: App\Models\SubjectCat (104μs)
      • Illuminate\Cache\Events\KeyWritten (426μs)
      • Illuminate\Cache\Events\CacheHit (307μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (329μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (401μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (462μs)
      • Illuminate\Cache\Events\CacheHit (282μs)
      • Illuminate\Cache\Events\CacheHit (830μs)
      • Illuminate\Cache\Events\CacheHit (526μs)
      • Illuminate\Cache\Events\CacheHit (266μs)
      • Illuminate\Cache\Events\CacheHit (241μs)
      • Illuminate\Cache\Events\CacheHit (219μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (1.2ms)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (329μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheMissed (299μs)
      • Illuminate\Database\Events\StatementPrepared (770μs)
      • Illuminate\Database\Events\QueryExecuted (1.02ms)
      • eloquent.retrieved: App\Models\SubjectCat (93μs)
      • Illuminate\Cache\Events\KeyWritten (381μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (150μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (142μs)
      • Illuminate\Cache\Events\CacheHit (217μs)
      • Illuminate\Cache\Events\CacheHit (254μs)
      • Illuminate\Cache\Events\CacheHit (231μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (157μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (154μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (152μs)
      • Illuminate\Cache\Events\CacheHit (252μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (144μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (147μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheMissed (330μs)
      • Illuminate\Database\Events\StatementPrepared (3.88ms)
      • Illuminate\Database\Events\QueryExecuted (1.02ms)
      • eloquent.retrieved: App\Models\SubjectCat (106μs)
      • Illuminate\Cache\Events\KeyWritten (560μs)
      • Illuminate\Cache\Events\CacheHit (428μs)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (988μs)
      • Illuminate\Cache\Events\CacheHit (2.94ms)
      • Illuminate\Cache\Events\CacheHit (452μs)
      • Illuminate\Cache\Events\CacheMissed (308μs)
      • Illuminate\Database\Events\StatementPrepared (641μs)
      • Illuminate\Database\Events\QueryExecuted (2.55ms)
      • eloquent.retrieved: App\Models\SubjectCat (101μs)
      • Illuminate\Cache\Events\KeyWritten (394μs)
      • Illuminate\Cache\Events\CacheHit (242μs)
      • Illuminate\Cache\Events\CacheHit (289μs)
      • Illuminate\Cache\Events\CacheHit (233μs)
      • Illuminate\Cache\Events\CacheHit (409μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (258μs)
      • Illuminate\Cache\Events\CacheHit (146μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (149μs)
      • Illuminate\Cache\Events\CacheHit (926μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (323μs)
      • Illuminate\Cache\Events\CacheHit (5.97ms)
      • Illuminate\Cache\Events\CacheHit (454μs)
      • Illuminate\Cache\Events\CacheHit (4.44ms)
      • Illuminate\Cache\Events\CacheHit (691μs)
      • Illuminate\Cache\Events\CacheHit (9.73ms)
      • Illuminate\Cache\Events\CacheHit (352μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheMissed (463μs)
      • Illuminate\Database\Events\StatementPrepared (858μs)
      • Illuminate\Database\Events\QueryExecuted (972μs)
      • eloquent.retrieved: App\Models\SubjectCat (90μs)
      • Illuminate\Cache\Events\KeyWritten (416μs)
      • Illuminate\Cache\Events\CacheHit (271μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (271μs)
      • Illuminate\Cache\Events\CacheHit (530μs)
      • Illuminate\Cache\Events\CacheHit (338μs)
      • Illuminate\Cache\Events\CacheHit (330μs)
      • Illuminate\Cache\Events\CacheHit (120μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (358μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (133μs)
      • Illuminate\Cache\Events\CacheHit (104μs)
      • Illuminate\Cache\Events\CacheHit (122μs)
      • Illuminate\Cache\Events\CacheHit (101μs)
      • Illuminate\Cache\Events\CacheHit (116μs)
      • Illuminate\Cache\Events\CacheHit (241μs)
      • Illuminate\Cache\Events\CacheHit (4.31ms)
      • Illuminate\Cache\Events\CacheHit (295μs)
      • Illuminate\Cache\Events\CacheHit (237μs)
      • Illuminate\Cache\Events\CacheHit (364μs)
      • Illuminate\Cache\Events\CacheHit (237μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (2.48ms)
      • Illuminate\Cache\Events\CacheHit (1.73ms)
      • Illuminate\Cache\Events\CacheHit (384μs)
      • Illuminate\Cache\Events\CacheHit (467μs)
      • Illuminate\Cache\Events\CacheHit (343μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (291μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (315μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (253μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (288μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (152μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (150μs)
      • Illuminate\Cache\Events\CacheHit (337μs)
      • Illuminate\Cache\Events\CacheHit (306μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (119μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (139μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (121μs)
      • Illuminate\Cache\Events\CacheHit (339μs)
      • Illuminate\Cache\Events\CacheHit (131μs)
      • Illuminate\Cache\Events\CacheMissed (206μs)
      • Illuminate\Database\Events\StatementPrepared (671μs)
      • Illuminate\Database\Events\QueryExecuted (767μs)
      • eloquent.retrieved: App\Models\SubjectCat (61μs)
      • Illuminate\Cache\Events\KeyWritten (282μs)
      • Illuminate\Cache\Events\CacheHit (232μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (418μs)
      • Illuminate\Cache\Events\CacheHit (250μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (243μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (128μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (297μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (989μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (293μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (233μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (332μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (257μs)
      • Illuminate\Cache\Events\CacheHit (249μs)
      • Illuminate\Cache\Events\CacheHit (392μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (281μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (242μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (221μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (253μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (383μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (517μs)
      • Illuminate\Cache\Events\CacheHit (1.51ms)
      • Illuminate\Cache\Events\CacheHit (238μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (249μs)
      • Illuminate\Cache\Events\CacheHit (256μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (291μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (150μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (265μs)
      • Illuminate\Cache\Events\CacheHit (272μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (136μs)
      • Illuminate\Cache\Events\CacheHit (103μs)
      • Illuminate\Cache\Events\CacheHit (139μs)
      • Illuminate\Cache\Events\CacheHit (102μs)
      • Illuminate\Cache\Events\CacheHit (115μs)
      • Illuminate\Cache\Events\CacheHit (95μs)
      • Illuminate\Cache\Events\CacheMissed (191μs)
      • Illuminate\Database\Events\StatementPrepared (1.15ms)
      • Illuminate\Database\Events\QueryExecuted (3.12ms)
      • eloquent.retrieved: App\Models\SubjectCat (81μs)
      • Illuminate\Cache\Events\KeyWritten (297μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (666μs)
      • Illuminate\Cache\Events\CacheHit (408μs)
      • Illuminate\Cache\Events\CacheHit (656μs)
      • Illuminate\Cache\Events\CacheHit (347μs)
      • Illuminate\Cache\Events\CacheHit (603μs)
      • Illuminate\Cache\Events\CacheHit (410μs)
      • Illuminate\Cache\Events\CacheHit (353μs)
      • Illuminate\Cache\Events\CacheHit (388μs)
      • Illuminate\Cache\Events\CacheHit (317μs)
      • Illuminate\Cache\Events\CacheHit (459μs)
      • Illuminate\Cache\Events\CacheHit (359μs)
      • Illuminate\Cache\Events\CacheHit (298μs)
      • Illuminate\Cache\Events\CacheHit (387μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (268μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • creating: site.layouts.app (537μs)
      • composing: site.layouts.app (24μs)
      • creating: components.canonical (503μs)
      • composing: components.canonical (108μs)
      • creating: components.open-graph (297μs)
      • composing: components.open-graph (90μs)
      • creating: site.headers.header (366μs)
      • composing: site.headers.header (57μs)
      • Illuminate\Cache\Events\CacheHit (1.64ms)
      • creating: components.footer (63μs)
      • composing: components.footer (63μs)
      • Illuminate\Cache\Events\CacheHit (1.13ms)
      • Illuminate\Cache\Events\CacheMissed (560μs)
      • Illuminate\Database\Events\StatementPrepared (567μs)
      • Illuminate\Database\Events\QueryExecuted (1.18ms)
      • eloquent.retrieved: App\Models\SubjectCat (88μs)
      • Illuminate\Cache\Events\KeyWritten (1.64ms)
      • Illuminate\Cache\Events\CacheHit (378μs)
      • Illuminate\Cache\Events\CacheHit (228μs)
      • Illuminate\Cache\Events\CacheHit (225μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (456μs)
      • Illuminate\Cache\Events\CacheHit (475μs)
      • Illuminate\Cache\Events\CacheHit (2.84ms)
      • Illuminate\Cache\Events\CacheHit (428μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (477μs)
      • Illuminate\Cache\Events\CacheHit (293μs)
      • Illuminate\Cache\Events\CacheHit (288μs)
      • creating: components.forms.contact-us (306μs)
      • composing: components.forms.contact-us (347μs)
      • creating: components.forms.get-started (1.02ms)
      • composing: components.forms.get-started (108μs)
      • creating: components.forms.free-tool-download (172μs)
      • composing: components.forms.free-tool-download (78μs)
      • creating: components.forms.claim-free-worksheet (140μs)
      • composing: components.forms.claim-free-worksheet (76μs)
      • creating: components.forms.tutor-subscription-waitlist (137μs)
      • composing: components.forms.tutor-subscription-waitlist (73μs)
      • creating: components.forms.tutor-subscription-join (136μs)
      • composing: components.forms.tutor-subscription-join (75μs)
      • creating: components.forms.tutor-support (137μs)
      • composing: components.forms.tutor-support (76μs)
      • 311 x Illuminate\Cache\Events\CacheHit (21.68%)
        146ms
        20 x Illuminate\Database\Events\StatementPrepared (10.25%)
        69.23ms
        20 x Illuminate\Database\Events\QueryExecuted (8.76%)
        59.14ms
        11 x Illuminate\Cache\Events\CacheMissed (1.61%)
        10.89ms
        11 x Illuminate\Cache\Events\KeyWritten (0.97%)
        6.57ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (0.67%)
        4.50ms
        1 x Illuminate\Routing\Events\Routing (0.23%)
        1.52ms
        12 x eloquent.retrieved: App\Models\SubjectCat (0.17%)
        1.15ms
        1 x Illuminate\Database\Events\ConnectionEstablished (0.16%)
        1.05ms
        1 x creating: components.forms.get-started (0.15%)
        1.02ms
        1 x eloquent.booting: App\Models\SubjectCat (0.1%)
        689μs
        1 x Illuminate\Routing\Events\RouteMatched (0.09%)
        592μs
        1 x creating: site.layouts.app (0.08%)
        537μs
        1 x creating: components.canonical (0.07%)
        503μs
        1 x creating: components.breadcrumbs (0.07%)
        485μs
        10 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.07%)
        454μs
        1 x creating: homework.show (0.06%)
        399μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.06%)
        372μs
        1 x creating: site.headers.header (0.05%)
        366μs
        1 x composing: components.forms.contact-us (0.05%)
        347μs
        1 x creating: components.forms.contact-us (0.05%)
        306μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)
        297μs
        1 x creating: components.open-graph (0.04%)
        297μs
        2 x eloquent.retrieved: App\Models\Subject (0.04%)
        259μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        201μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)
        182μs
        1 x creating: components.forms.free-tool-download (0.03%)
        172μs
        1 x composing: components.breadcrumbs (0.02%)
        166μs
        1 x composing: homework.show (0.02%)
        151μs
        1 x creating: components.forms.claim-free-worksheet (0.02%)
        140μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.02%)
        137μs
        1 x creating: components.forms.tutor-support (0.02%)
        137μs
        1 x creating: components.forms.tutor-subscription-join (0.02%)
        136μs
        1 x eloquent.booting: App\Models\Subject (0.02%)
        133μs
        1 x composing: components.canonical (0.02%)
        108μs
        1 x composing: components.forms.get-started (0.02%)
        108μs
        1 x composing: components.open-graph (0.01%)
        90μs
        1 x composing: components.forms.free-tool-download (0.01%)
        78μs
        1 x composing: components.forms.claim-free-worksheet (0.01%)
        76μs
        1 x composing: components.forms.tutor-support (0.01%)
        76μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        75μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        73μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        72μs
        1 x creating: components.footer (0.01%)
        63μs
        1 x composing: components.footer (0.01%)
        63μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        60μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)
        60μs
        1 x composing: site.headers.header (0.01%)
        57μs
        1 x composing: site.layouts.app (0%)
        24μs
      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 duplicated101ms
      • 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` = '62857' limit 1
        12.18mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 62857
        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 (60)
        10.93mstwenty4_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 (62857)
        1.06mstwenty4_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` = 1 limit 1
        870μstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 1
        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` <> 62857 and `subject` = 60 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        20.23mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 62857
        • 1: 60
        • 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 (60)
        1.03mstwenty4_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` = 62857 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        6.73mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 62857
        • 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` = 62857 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        1.07mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 62857
        • 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` = 62857 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        1.11mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 62857
        • 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` = 1 limit 1
        10.39mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 1
        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
        7.08mstwenty4_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
        7.28mstwenty4_siteSubject.php#100
        Bindings
        • 0: 3
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1
        7.51mstwenty4_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
        1.08mstwenty4_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
        4.16mstwenty4_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
        960μstwenty4_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
        1.15mstwenty4_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
        970μstwenty4_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
        3.75mstwenty4_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
        970μstwenty4_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
          2HHZe4B1AX7LAXNzvc1RyDNTYaZD95WL4WF665Do
          utm_source
          direct
          redirectUrl
          /college-homework-library/Mathematics/Mathematics-Other/62857
          _previous
          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Mat...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /college-homework-library/Mathematics/Mathematics-Other/62857
          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=1-67fc9d10-7088e69e7d4d4ef57ed4032a" ] "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 => "3.147.195.139" ] "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 => "Mon, 14 Apr 2025 05:28:49 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6Ik9ISkR2a25BVkNSRXdERnFhcFYwc3c9PSIsInZhbHVlIjoiTW01d0tuQ0RDL0Q1cUcwNlA4NitPYStrNEYvK1B5NGQ4VGxjMTU3K3FDZTd1OHFzc0Jqby80Y1JGVDc4Y2pueXBKek9QNXI1eE03Wkc0a2V6L3ZXaUxIeXNCL2szcVYyWG55N0NtS0ZDd2E4ZUtKdkd5cmc2UXA5dUl1OVRnRFciLCJtYWMiOiI2ODRkZDBhODRkNDNjYTY0NGRiNzk3YjBjMTJmOWRiOTM3N2JkMzU3ODU2ZDYzOTk4ODg2ZTYxMDJhN2M1ZDc1IiwidGFnIjoiIn0%3D; expires=Mon, 14 Apr 2025 07:28:49 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=laxXSRF-TOKEN=eyJpdiI6Ik9ISkR2a25BVkNSRXdERnFhcFYwc3c9PSIsInZhbHVlIjoiTW01d0tuQ0RDL0Q1cUcwNlA4NitPYStrNEYvK1B5NGQ4VGxjMTU3K3FDZTd1OHFzc0Jqby80Y1JGVDc4Y2pueXBKek9QN" 1 => "24houranswers_session=eyJpdiI6InVlWGdpMXp5eSsvUVN6ZkV6Qi8zWUE9PSIsInZhbHVlIjoiWDM0R2c3bmVNbkVkU1RvUnluZFdVbHlnRVFXaFl1OHhhRzlOOHFLWWZBcm5YaTNPcGQ1eEN0QUVLalcyRnZRekZVc251T0MyT3pyQkdJOEFvaDVDR1RCUGladzUvcTlNRHhEdGxIMTlsWG5TV2M3TFVlMkprV3JqbzlqN0g5YnUiLCJtYWMiOiIzNDI4NWZjMjQ3NjYyZDdlZmFkMjIyZGJhOTI3N2MyYzRjNGY1NDk4YzFjNTQ5ZWVkM2Q2MDcxN2FkMWI5NWEyIiwidGFnIjoiIn0%3D; expires=Mon, 14 Apr 2025 07:28:49 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax24houranswers_session=eyJpdiI6InVlWGdpMXp5eSsvUVN6ZkV6Qi8zWUE9PSIsInZhbHVlIjoiWDM0R2c3bmVNbkVkU1RvUnluZFdVbHlnRVFXaFl1OHhhRzlOOHFLWWZBcm5YaTNPcGQ1eEN0QUVLalcyRn" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6Ik9ISkR2a25BVkNSRXdERnFhcFYwc3c9PSIsInZhbHVlIjoiTW01d0tuQ0RDL0Q1cUcwNlA4NitPYStrNEYvK1B5NGQ4VGxjMTU3K3FDZTd1OHFzc0Jqby80Y1JGVDc4Y2pueXBKek9QNXI1eE03Wkc0a2V6L3ZXaUxIeXNCL2szcVYyWG55N0NtS0ZDd2E4ZUtKdkd5cmc2UXA5dUl1OVRnRFciLCJtYWMiOiI2ODRkZDBhODRkNDNjYTY0NGRiNzk3YjBjMTJmOWRiOTM3N2JkMzU3ODU2ZDYzOTk4ODg2ZTYxMDJhN2M1ZDc1IiwidGFnIjoiIn0%3D; expires=Mon, 14-Apr-2025 07:28:49 GMT; domain=.24houranswers.com; path=/XSRF-TOKEN=eyJpdiI6Ik9ISkR2a25BVkNSRXdERnFhcFYwc3c9PSIsInZhbHVlIjoiTW01d0tuQ0RDL0Q1cUcwNlA4NitPYStrNEYvK1B5NGQ4VGxjMTU3K3FDZTd1OHFzc0Jqby80Y1JGVDc4Y2pueXBKek9QN" 1 => "24houranswers_session=eyJpdiI6InVlWGdpMXp5eSsvUVN6ZkV6Qi8zWUE9PSIsInZhbHVlIjoiWDM0R2c3bmVNbkVkU1RvUnluZFdVbHlnRVFXaFl1OHhhRzlOOHFLWWZBcm5YaTNPcGQ1eEN0QUVLalcyRnZRekZVc251T0MyT3pyQkdJOEFvaDVDR1RCUGladzUvcTlNRHhEdGxIMTlsWG5TV2M3TFVlMkprV3JqbzlqN0g5YnUiLCJtYWMiOiIzNDI4NWZjMjQ3NjYyZDdlZmFkMjIyZGJhOTI3N2MyYzRjNGY1NDk4YzFjNTQ5ZWVkM2Q2MDcxN2FkMWI5NWEyIiwidGFnIjoiIn0%3D; expires=Mon, 14-Apr-2025 07:28:49 GMT; domain=.24houranswers.com; path=/; httponly24houranswers_session=eyJpdiI6InVlWGdpMXp5eSsvUVN6ZkV6Qi8zWUE9PSIsInZhbHVlIjoiWDM0R2c3bmVNbkVkU1RvUnluZFdVbHlnRVFXaFl1OHhhRzlOOHFLWWZBcm5YaTNPcGQ1eEN0QUVLalcyRn" ] ]
          session_attributes
          0 of 0
          array:6 [ "_token" => "2HHZe4B1AX7LAXNzvc1RyDNTYaZD95WL4WF665Do" "utm_source" => "direct" "redirectUrl" => "/college-homework-library/Mathematics/Mathematics-Other/62857" "_previous" => array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Mathematics-Other/62857" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]