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
$3.00
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 Version652msRequest Duration45MBMemory UsageGET college-homework-library/{category}/{subject}/{id}Route
    • Booting (417ms)time
    • Application (235ms)time
    • 1 x Booting (64%)
      417ms
      1 x Application (36%)
      235ms
      • Illuminate\Routing\Events\Routing (797μs)
      • Illuminate\Routing\Events\RouteMatched (402μs)
      • Illuminate\Foundation\Events\LocaleUpdated (4.56ms)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (304μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (169μs)
      • Illuminate\Database\Events\ConnectionEstablished (1.42ms)
      • Illuminate\Database\Events\StatementPrepared (8.37ms)
      • Illuminate\Database\Events\QueryExecuted (1.72ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (149μs)
      • eloquent.booting: App\Models\Subject (57μs)
      • eloquent.booted: App\Models\Subject (39μs)
      • Illuminate\Database\Events\StatementPrepared (1.61ms)
      • Illuminate\Database\Events\QueryExecuted (1.49ms)
      • eloquent.retrieved: App\Models\Subject (347μs)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (167μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (141μs)
      • Illuminate\Database\Events\StatementPrepared (740μs)
      • Illuminate\Database\Events\QueryExecuted (2.04ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (67μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (14μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
      • eloquent.booting: App\Models\SubjectCat (308μs)
      • eloquent.booted: App\Models\SubjectCat (440μs)
      • Illuminate\Database\Events\StatementPrepared (653μs)
      • Illuminate\Database\Events\QueryExecuted (1.25ms)
      • eloquent.retrieved: App\Models\SubjectCat (109μs)
      • Illuminate\Cache\Events\CacheHit (19.92ms)
      • Illuminate\Cache\Events\CacheMissed (167μs)
      • Illuminate\Database\Events\StatementPrepared (880μs)
      • Illuminate\Database\Events\QueryExecuted (2.18ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (92μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (17μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (7μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (5μs)
      • Illuminate\Database\Events\StatementPrepared (667μs)
      • Illuminate\Database\Events\QueryExecuted (816μs)
      • eloquent.retrieved: App\Models\Subject (71μs)
      • Illuminate\Cache\Events\KeyWritten (783μs)
      • Illuminate\Database\Events\StatementPrepared (1.5ms)
      • Illuminate\Database\Events\QueryExecuted (1.2ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (60μs)
      • Illuminate\Database\Events\StatementPrepared (904μs)
      • Illuminate\Database\Events\QueryExecuted (1.83ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (48μs)
      • Illuminate\Database\Events\StatementPrepared (899μs)
      • Illuminate\Database\Events\QueryExecuted (1.28ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (38μs)
      • Illuminate\Cache\Events\CacheHit (708μs)
      • creating: homework.show (262μs)
      • composing: homework.show (108μs)
      • creating: components.breadcrumbs (494μs)
      • composing: components.breadcrumbs (1.02ms)
      • Illuminate\Database\Events\StatementPrepared (1.4ms)
      • Illuminate\Database\Events\QueryExecuted (950μs)
      • eloquent.retrieved: App\Models\SubjectCat (89μs)
      • Illuminate\Cache\Events\CacheMissed (3.43ms)
      • Illuminate\Database\Events\StatementPrepared (835μs)
      • Illuminate\Database\Events\QueryExecuted (1.21ms)
      • eloquent.retrieved: App\Models\SubjectCat (102μs)
      • Illuminate\Cache\Events\KeyWritten (469μs)
      • Illuminate\Cache\Events\CacheHit (234μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (282μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (4.53ms)
      • Illuminate\Cache\Events\CacheHit (288μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (1.26ms)
      • Illuminate\Cache\Events\CacheHit (148μs)
      • Illuminate\Cache\Events\CacheHit (134μs)
      • Illuminate\Cache\Events\CacheHit (1.35ms)
      • Illuminate\Cache\Events\CacheHit (387μs)
      • Illuminate\Cache\Events\CacheHit (1.09ms)
      • Illuminate\Cache\Events\CacheMissed (221μs)
      • Illuminate\Database\Events\StatementPrepared (753μs)
      • Illuminate\Database\Events\QueryExecuted (956μs)
      • eloquent.retrieved: App\Models\SubjectCat (95μs)
      • Illuminate\Cache\Events\KeyWritten (583μs)
      • Illuminate\Cache\Events\CacheHit (381μs)
      • Illuminate\Cache\Events\CacheHit (264μs)
      • Illuminate\Cache\Events\CacheHit (319μs)
      • Illuminate\Cache\Events\CacheHit (488μs)
      • Illuminate\Cache\Events\CacheHit (733μs)
      • Illuminate\Cache\Events\CacheHit (304μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheMissed (152μs)
      • Illuminate\Database\Events\StatementPrepared (719μs)
      • Illuminate\Database\Events\QueryExecuted (806μs)
      • eloquent.retrieved: App\Models\SubjectCat (129μs)
      • Illuminate\Cache\Events\KeyWritten (824μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (372μs)
      • Illuminate\Cache\Events\CacheHit (244μs)
      • Illuminate\Cache\Events\CacheHit (317μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (284μs)
      • Illuminate\Cache\Events\CacheHit (539μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (241μs)
      • Illuminate\Cache\Events\CacheHit (325μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (287μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (340μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (547μs)
      • Illuminate\Cache\Events\CacheHit (275μs)
      • Illuminate\Cache\Events\CacheHit (375μs)
      • Illuminate\Cache\Events\CacheHit (328μs)
      • Illuminate\Cache\Events\CacheHit (276μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (151μs)
      • Illuminate\Cache\Events\CacheHit (138μs)
      • Illuminate\Cache\Events\CacheHit (123μs)
      • Illuminate\Cache\Events\CacheMissed (251μs)
      • Illuminate\Database\Events\StatementPrepared (659μs)
      • Illuminate\Database\Events\QueryExecuted (1.49ms)
      • eloquent.retrieved: App\Models\SubjectCat (85μs)
      • Illuminate\Cache\Events\KeyWritten (1.43ms)
      • Illuminate\Cache\Events\CacheHit (246μs)
      • Illuminate\Cache\Events\CacheHit (286μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (254μs)
      • Illuminate\Cache\Events\CacheHit (275μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (291μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (358μs)
      • Illuminate\Cache\Events\CacheHit (242μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (240μs)
      • Illuminate\Cache\Events\CacheHit (288μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (344μs)
      • Illuminate\Cache\Events\CacheHit (364μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (260μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (251μs)
      • Illuminate\Cache\Events\CacheMissed (192μs)
      • Illuminate\Database\Events\StatementPrepared (836μs)
      • Illuminate\Database\Events\QueryExecuted (1.03ms)
      • eloquent.retrieved: App\Models\SubjectCat (214μs)
      • Illuminate\Cache\Events\KeyWritten (1.5ms)
      • Illuminate\Cache\Events\CacheHit (522μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (237μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (281μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheMissed (188μs)
      • Illuminate\Database\Events\StatementPrepared (597μs)
      • Illuminate\Database\Events\QueryExecuted (6.97ms)
      • eloquent.retrieved: App\Models\SubjectCat (106μs)
      • Illuminate\Cache\Events\KeyWritten (2.6ms)
      • Illuminate\Cache\Events\CacheHit (556μs)
      • Illuminate\Cache\Events\CacheHit (259μs)
      • Illuminate\Cache\Events\CacheHit (3.16ms)
      • Illuminate\Cache\Events\CacheHit (1.41ms)
      • Illuminate\Cache\Events\CacheHit (286μs)
      • Illuminate\Cache\Events\CacheHit (223μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (484μs)
      • Illuminate\Cache\Events\CacheHit (239μs)
      • Illuminate\Cache\Events\CacheHit (1.99ms)
      • Illuminate\Cache\Events\CacheHit (788μs)
      • Illuminate\Cache\Events\CacheHit (4.26ms)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (267μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (157μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheMissed (3ms)
      • Illuminate\Database\Events\StatementPrepared (869μs)
      • Illuminate\Database\Events\QueryExecuted (1.18ms)
      • eloquent.retrieved: App\Models\SubjectCat (94μs)
      • Illuminate\Cache\Events\KeyWritten (473μs)
      • Illuminate\Cache\Events\CacheHit (221μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (280μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (378μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (250μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (296μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (298μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (4.81ms)
      • Illuminate\Cache\Events\CacheHit (281μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (239μs)
      • Illuminate\Cache\Events\CacheHit (225μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (781μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (352μs)
      • Illuminate\Cache\Events\CacheHit (369μs)
      • Illuminate\Cache\Events\CacheHit (286μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (243μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (237μs)
      • Illuminate\Cache\Events\CacheHit (441μs)
      • Illuminate\Cache\Events\CacheHit (426μs)
      • Illuminate\Cache\Events\CacheHit (296μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (266μs)
      • Illuminate\Cache\Events\CacheHit (234μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (307μs)
      • Illuminate\Cache\Events\CacheHit (233μs)
      • Illuminate\Cache\Events\CacheHit (225μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (443μs)
      • Illuminate\Cache\Events\CacheHit (285μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • Illuminate\Cache\Events\CacheHit (307μs)
      • Illuminate\Cache\Events\CacheHit (390μs)
      • Illuminate\Cache\Events\CacheMissed (239μs)
      • Illuminate\Database\Events\StatementPrepared (2.63ms)
      • Illuminate\Database\Events\QueryExecuted (2.16ms)
      • eloquent.retrieved: App\Models\SubjectCat (64μs)
      • Illuminate\Cache\Events\KeyWritten (826μs)
      • Illuminate\Cache\Events\CacheHit (1.73ms)
      • Illuminate\Cache\Events\CacheHit (254μs)
      • Illuminate\Cache\Events\CacheHit (135μs)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheHit (785μs)
      • Illuminate\Cache\Events\CacheHit (527μs)
      • Illuminate\Cache\Events\CacheHit (642μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (499μs)
      • Illuminate\Cache\Events\CacheHit (239μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (149μs)
      • Illuminate\Cache\Events\CacheHit (112μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (141μs)
      • Illuminate\Cache\Events\CacheHit (237μs)
      • Illuminate\Cache\Events\CacheHit (409μs)
      • Illuminate\Cache\Events\CacheHit (1.5ms)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (256μs)
      • Illuminate\Cache\Events\CacheHit (673μs)
      • Illuminate\Cache\Events\CacheHit (369μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (254μs)
      • Illuminate\Cache\Events\CacheHit (223μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (359μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (267μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (313μs)
      • Illuminate\Cache\Events\CacheHit (284μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (312μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (249μs)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (301μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (198μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (702μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (601μs)
      • Illuminate\Cache\Events\CacheHit (382μs)
      • Illuminate\Cache\Events\CacheHit (628μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (492μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (353μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (316μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (291μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (593μs)
      • Illuminate\Cache\Events\CacheHit (300μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (326μs)
      • Illuminate\Cache\Events\CacheHit (317μs)
      • Illuminate\Cache\Events\CacheHit (295μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (314μs)
      • Illuminate\Cache\Events\CacheHit (283μs)
      • Illuminate\Cache\Events\CacheHit (283μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (278μs)
      • Illuminate\Cache\Events\CacheHit (232μs)
      • Illuminate\Cache\Events\CacheHit (310μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheMissed (612μs)
      • Illuminate\Database\Events\StatementPrepared (1.28ms)
      • Illuminate\Database\Events\QueryExecuted (1.21ms)
      • eloquent.retrieved: App\Models\SubjectCat (192μs)
      • Illuminate\Cache\Events\KeyWritten (421μs)
      • Illuminate\Cache\Events\CacheHit (331μs)
      • Illuminate\Cache\Events\CacheHit (484μs)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (246μs)
      • Illuminate\Cache\Events\CacheHit (279μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (226μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (457μs)
      • Illuminate\Cache\Events\CacheHit (618μs)
      • Illuminate\Cache\Events\CacheHit (381μs)
      • Illuminate\Cache\Events\CacheHit (229μs)
      • Illuminate\Cache\Events\CacheHit (259μs)
      • Illuminate\Cache\Events\CacheHit (279μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • creating: site.layouts.app (1.98ms)
      • composing: site.layouts.app (26μs)
      • creating: components.canonical (711μs)
      • composing: components.canonical (151μs)
      • creating: components.open-graph (369μs)
      • composing: components.open-graph (96μs)
      • creating: site.headers.header (468μs)
      • composing: site.headers.header (87μs)
      • Illuminate\Cache\Events\CacheHit (2.03ms)
      • creating: components.footer (69μs)
      • composing: components.footer (87μs)
      • Illuminate\Cache\Events\CacheHit (1.15ms)
      • Illuminate\Cache\Events\CacheMissed (881μs)
      • Illuminate\Database\Events\StatementPrepared (775μs)
      • Illuminate\Database\Events\QueryExecuted (1.06ms)
      • eloquent.retrieved: App\Models\SubjectCat (67μs)
      • Illuminate\Cache\Events\KeyWritten (481μs)
      • Illuminate\Cache\Events\CacheHit (379μs)
      • Illuminate\Cache\Events\CacheHit (240μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (283μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (317μs)
      • Illuminate\Cache\Events\CacheHit (344μs)
      • Illuminate\Cache\Events\CacheHit (508μs)
      • Illuminate\Cache\Events\CacheHit (357μs)
      • Illuminate\Cache\Events\CacheHit (348μs)
      • Illuminate\Cache\Events\CacheHit (391μs)
      • Illuminate\Cache\Events\CacheHit (268μs)
      • creating: components.forms.contact-us (426μs)
      • composing: components.forms.contact-us (385μs)
      • creating: components.forms.get-started (220μs)
      • composing: components.forms.get-started (96μs)
      • creating: components.forms.free-tool-download (157μs)
      • composing: components.forms.free-tool-download (81μs)
      • creating: components.forms.claim-free-worksheet (150μs)
      • composing: components.forms.claim-free-worksheet (230μs)
      • creating: components.forms.tutor-subscription-waitlist (219μs)
      • composing: components.forms.tutor-subscription-waitlist (67μs)
      • creating: components.forms.tutor-subscription-join (274μs)
      • composing: components.forms.tutor-subscription-join (77μs)
      • creating: components.forms.tutor-support (131μs)
      • composing: components.forms.tutor-support (68μs)
      • 311 x Illuminate\Cache\Events\CacheHit (19.57%)
        128ms
        20 x Illuminate\Database\Events\QueryExecuted (5.03%)
        32.82ms
        20 x Illuminate\Database\Events\StatementPrepared (4.23%)
        27.58ms
        11 x Illuminate\Cache\Events\KeyWritten (1.6%)
        10.40ms
        11 x Illuminate\Cache\Events\CacheMissed (1.43%)
        9.33ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (0.7%)
        4.56ms
        1 x creating: site.layouts.app (0.3%)
        1.98ms
        1 x Illuminate\Database\Events\ConnectionEstablished (0.22%)
        1.42ms
        12 x eloquent.retrieved: App\Models\SubjectCat (0.21%)
        1.35ms
        1 x composing: components.breadcrumbs (0.16%)
        1.02ms
        1 x Illuminate\Routing\Events\Routing (0.12%)
        797μs
        1 x creating: components.canonical (0.11%)
        711μs
        1 x creating: components.breadcrumbs (0.08%)
        494μs
        1 x creating: site.headers.header (0.07%)
        468μs
        1 x eloquent.booted: App\Models\SubjectCat (0.07%)
        440μs
        1 x creating: components.forms.contact-us (0.07%)
        426μs
        2 x eloquent.retrieved: App\Models\Subject (0.06%)
        418μs
        1 x Illuminate\Routing\Events\RouteMatched (0.06%)
        402μs
        1 x composing: components.forms.contact-us (0.06%)
        385μs
        1 x creating: components.open-graph (0.06%)
        369μs
        1 x eloquent.booting: App\Models\SubjectCat (0.05%)
        308μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)
        304μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)
        284μs
        1 x creating: components.forms.tutor-subscription-join (0.04%)
        274μs
        1 x creating: homework.show (0.04%)
        262μs
        8 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.04%)
        247μs
        1 x composing: components.forms.claim-free-worksheet (0.04%)
        230μs
        1 x creating: components.forms.get-started (0.03%)
        220μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.03%)
        219μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        169μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)
        167μs
        1 x creating: components.forms.free-tool-download (0.02%)
        157μs
        1 x composing: components.canonical (0.02%)
        151μs
        1 x creating: components.forms.claim-free-worksheet (0.02%)
        150μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)
        141μs
        1 x creating: components.forms.tutor-support (0.02%)
        131μs
        1 x composing: homework.show (0.02%)
        108μs
        1 x composing: components.open-graph (0.01%)
        96μs
        1 x composing: components.forms.get-started (0.01%)
        96μs
        1 x composing: site.headers.header (0.01%)
        87μs
        1 x composing: components.footer (0.01%)
        87μs
        1 x composing: components.forms.free-tool-download (0.01%)
        81μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        77μs
        1 x creating: components.footer (0.01%)
        69μs
        1 x composing: components.forms.tutor-support (0.01%)
        68μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        67μs
        1 x eloquent.booting: App\Models\Subject (0.01%)
        57μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        39μs
        1 x composing: site.layouts.app (0%)
        26μs
      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 duplicated39.79ms
      • 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` = '59281' limit 1
        8.56mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 59281
        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 (125)
        1.28mstwenty4_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 (59281)
        2.13mstwenty4_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
        1.08mstwenty4_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` <> 59281 and `subject` = 125 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        2.24mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 59281
        • 1: 125
        • 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 (125)
        820μstwenty4_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` = 59281 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        1.17mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 59281
        • 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` = 59281 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        1.88mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 59281
        • 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` = 59281 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        1.35mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 59281
        • 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
        1.13mstwenty4_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
        1.28mstwenty4_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
        1.11mstwenty4_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
        1.06mstwenty4_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
        1.17mstwenty4_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
        1.18mstwenty4_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
        7.13mstwenty4_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
        1.18mstwenty4_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
        1.23mstwenty4_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
        1.74mstwenty4_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
        1.07mstwenty4_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
      8HomeworkLibraryFile.php
      App\Models\HomeworkLibrary\HomeworkLibrary
      7HomeworkLibrary.php
      App\Models\Subject
      2Subject.php
          _token
          pCwuC8nja9I6at7lkUsn5yDkhPZEbXBprvhEljNw
          utm_source
          direct
          redirectUrl
          /college-homework-library/Mathematics/Measure-Theory/59281
          _previous
          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Mea...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /college-homework-library/Mathematics/Measure-Theory/59281
          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=1-6808a1e5-1e00e348164dfd453cff1c1f" ] "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 => "18.117.120.35" ] "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 => "Wed, 23 Apr 2025 08:16:38 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6Ii9ETkNldzBPb3hick11YXY3YitPWXc9PSIsInZhbHVlIjoiVGRycnNLK2s0N1pRSGZ5cFJqcSt6akVkNkNFMjlGSDhxWFBsRzJ1SGlsalZaeWEwV3gzbE9iVXpGVXpiN2xkMTBDWXROTm41akREWGNndXlvTWp6Q3FxVDRZQVpSNWNQQWdRc0FyRjZhdGRqUUQ3cGJRQ3lBUStQSG85TDZHakYiLCJtYWMiOiI4NzZjZTgwOTYzNThmOWUxZGJjNGZkZWE3MzBlZGRmMzY4OTNkMWY0ZjNkYjhiMTZiMzQzNGE3NWM0MjQ4YWM3IiwidGFnIjoiIn0%3D; expires=Wed, 23 Apr 2025 10:16:38 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=laxXSRF-TOKEN=eyJpdiI6Ii9ETkNldzBPb3hick11YXY3YitPWXc9PSIsInZhbHVlIjoiVGRycnNLK2s0N1pRSGZ5cFJqcSt6akVkNkNFMjlGSDhxWFBsRzJ1SGlsalZaeWEwV3gzbE9iVXpGVXpiN2xkMTBDWXROT" 1 => "24houranswers_session=eyJpdiI6Imt1anBMTHhaYkUwVzlyMlJuZzVwTHc9PSIsInZhbHVlIjoianhMM3Bmb2d3eU9IY2RZQWY3S21VckpyNVlLN2FyeEZIL3luMTArVWt1cmxYWXVlVXpHR0RTcmhoOWU1dVVCSmxUbkVNa2g0Nng0ZGVpbjgxd3cyN0dMZjBieDhNT0VkNVVYQ0ljNjd1RVFGTnVBakp5djVNN2RzQXlSU0t5d0UiLCJtYWMiOiJmYmZiYjMyZDcyOTIzZDg2YTlkNmZkYTkxZmNhZjljMGU3ZjFkZGYyMDZjZGQ4NWQxNGNkNmM0NDI1ZWFlNTJmIiwidGFnIjoiIn0%3D; expires=Wed, 23 Apr 2025 10:16:38 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax24houranswers_session=eyJpdiI6Imt1anBMTHhaYkUwVzlyMlJuZzVwTHc9PSIsInZhbHVlIjoianhMM3Bmb2d3eU9IY2RZQWY3S21VckpyNVlLN2FyeEZIL3luMTArVWt1cmxYWXVlVXpHR0RTcmhoOWU1dV" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6Ii9ETkNldzBPb3hick11YXY3YitPWXc9PSIsInZhbHVlIjoiVGRycnNLK2s0N1pRSGZ5cFJqcSt6akVkNkNFMjlGSDhxWFBsRzJ1SGlsalZaeWEwV3gzbE9iVXpGVXpiN2xkMTBDWXROTm41akREWGNndXlvTWp6Q3FxVDRZQVpSNWNQQWdRc0FyRjZhdGRqUUQ3cGJRQ3lBUStQSG85TDZHakYiLCJtYWMiOiI4NzZjZTgwOTYzNThmOWUxZGJjNGZkZWE3MzBlZGRmMzY4OTNkMWY0ZjNkYjhiMTZiMzQzNGE3NWM0MjQ4YWM3IiwidGFnIjoiIn0%3D; expires=Wed, 23-Apr-2025 10:16:38 GMT; domain=.24houranswers.com; path=/XSRF-TOKEN=eyJpdiI6Ii9ETkNldzBPb3hick11YXY3YitPWXc9PSIsInZhbHVlIjoiVGRycnNLK2s0N1pRSGZ5cFJqcSt6akVkNkNFMjlGSDhxWFBsRzJ1SGlsalZaeWEwV3gzbE9iVXpGVXpiN2xkMTBDWXROT" 1 => "24houranswers_session=eyJpdiI6Imt1anBMTHhaYkUwVzlyMlJuZzVwTHc9PSIsInZhbHVlIjoianhMM3Bmb2d3eU9IY2RZQWY3S21VckpyNVlLN2FyeEZIL3luMTArVWt1cmxYWXVlVXpHR0RTcmhoOWU1dVVCSmxUbkVNa2g0Nng0ZGVpbjgxd3cyN0dMZjBieDhNT0VkNVVYQ0ljNjd1RVFGTnVBakp5djVNN2RzQXlSU0t5d0UiLCJtYWMiOiJmYmZiYjMyZDcyOTIzZDg2YTlkNmZkYTkxZmNhZjljMGU3ZjFkZGYyMDZjZGQ4NWQxNGNkNmM0NDI1ZWFlNTJmIiwidGFnIjoiIn0%3D; expires=Wed, 23-Apr-2025 10:16:38 GMT; domain=.24houranswers.com; path=/; httponly24houranswers_session=eyJpdiI6Imt1anBMTHhaYkUwVzlyMlJuZzVwTHc9PSIsInZhbHVlIjoianhMM3Bmb2d3eU9IY2RZQWY3S21VckpyNVlLN2FyeEZIL3luMTArVWt1cmxYWXVlVXpHR0RTcmhoOWU1dV" ] ]
          session_attributes
          0 of 0
          array:6 [ "_token" => "pCwuC8nja9I6at7lkUsn5yDkhPZEbXBprvhEljNw" "utm_source" => "direct" "redirectUrl" => "/college-homework-library/Mathematics/Measure-Theory/59281" "_previous" => array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Measure-Theory/59281" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]