Answered: 1. (a) Prove that any function f(x) may b... |24HA

Messages Timeline Exceptions Events448 Views14 Route Queries20 Models35 Livewire0 Mails Gate Session Request

8.1.0430ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (267ms)time
Application (163ms)time
1 x Booting (62.07%)
267ms
1 x Application (37.92%)
163ms

Illuminate\Routing\Events\Routing (1.38ms)
Illuminate\Routing\Events\RouteMatched (545μs)
Illuminate\Foundation\Events\LocaleUpdated (4.72ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (216μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (173μs)
Illuminate\Database\Events\ConnectionEstablished (1.02ms)
Illuminate\Database\Events\StatementPrepared (11.61ms)
Illuminate\Database\Events\QueryExecuted (1.16ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (105μs)
eloquent.booting: App\Models\Subject (100μs)
eloquent.booted: App\Models\Subject (43μs)
Illuminate\Database\Events\StatementPrepared (1.51ms)
Illuminate\Database\Events\QueryExecuted (1.04ms)
eloquent.retrieved: App\Models\Subject (236μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (177μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (61μs)
Illuminate\Database\Events\StatementPrepared (778μs)
Illuminate\Database\Events\QueryExecuted (3.31ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (100μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (16μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (4μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (4μs)
eloquent.booting: App\Models\SubjectCat (269μs)
eloquent.booted: App\Models\SubjectCat (42μs)
Illuminate\Database\Events\StatementPrepared (1.08ms)
Illuminate\Database\Events\QueryExecuted (894μs)
eloquent.retrieved: App\Models\SubjectCat (102μs)
Illuminate\Cache\Events\CacheHit (10.74ms)
Illuminate\Cache\Events\CacheMissed (713μs)
Illuminate\Database\Events\StatementPrepared (954μs)
Illuminate\Database\Events\QueryExecuted (7.74ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (99μs)
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 (1.04ms)
Illuminate\Database\Events\QueryExecuted (1.54ms)
eloquent.retrieved: App\Models\Subject (108μs)
Illuminate\Cache\Events\KeyWritten (833μs)
Illuminate\Database\Events\StatementPrepared (1.57ms)
Illuminate\Database\Events\QueryExecuted (1.04ms)
Illuminate\Database\Events\StatementPrepared (670μs)
Illuminate\Database\Events\QueryExecuted (1.26ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (49μs)
Illuminate\Database\Events\StatementPrepared (910μs)
Illuminate\Database\Events\QueryExecuted (1.11ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (52μs)
Illuminate\Cache\Events\CacheHit (588μs)
creating: homework.show (268μs)
composing: homework.show (133μs)
creating: components.breadcrumbs (291μs)
composing: components.breadcrumbs (129μs)
Illuminate\Database\Events\StatementPrepared (1.03ms)
Illuminate\Database\Events\QueryExecuted (931μs)
eloquent.retrieved: App\Models\SubjectCat (67μs)
Illuminate\Cache\Events\CacheMissed (4.29ms)
Illuminate\Database\Events\StatementPrepared (710μs)
Illuminate\Database\Events\QueryExecuted (1.03ms)
eloquent.retrieved: App\Models\SubjectCat (71μs)
Illuminate\Cache\Events\KeyWritten (334μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (151μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (143μs)
Illuminate\Cache\Events\CacheHit (272μs)
Illuminate\Cache\Events\CacheHit (151μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (144μs)
Illuminate\Cache\Events\CacheHit (133μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheMissed (214μs)
Illuminate\Database\Events\StatementPrepared (648μs)
Illuminate\Database\Events\QueryExecuted (1.01ms)
eloquent.retrieved: App\Models\SubjectCat (68μs)
Illuminate\Cache\Events\KeyWritten (303μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (337μs)
Illuminate\Cache\Events\CacheHit (140μs)
Illuminate\Cache\Events\CacheHit (383μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheMissed (229μs)
Illuminate\Database\Events\StatementPrepared (682μs)
Illuminate\Database\Events\QueryExecuted (958μs)
eloquent.retrieved: App\Models\SubjectCat (104μs)
Illuminate\Cache\Events\KeyWritten (314μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (424μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (143μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (96μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheMissed (204μs)
Illuminate\Database\Events\StatementPrepared (726μs)
Illuminate\Database\Events\QueryExecuted (948μs)
eloquent.retrieved: App\Models\SubjectCat (69μs)
Illuminate\Cache\Events\KeyWritten (306μs)
Illuminate\Cache\Events\CacheHit (259μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (260μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheMissed (223μs)
Illuminate\Database\Events\StatementPrepared (754μs)
Illuminate\Database\Events\QueryExecuted (1.55ms)
eloquent.retrieved: App\Models\SubjectCat (73μs)
Illuminate\Cache\Events\KeyWritten (342μs)
Illuminate\Cache\Events\CacheHit (249μs)
Illuminate\Cache\Events\CacheHit (209μs)
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Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (229μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheMissed (278μs)
Illuminate\Database\Events\StatementPrepared (725μs)
Illuminate\Database\Events\QueryExecuted (994μs)
eloquent.retrieved: App\Models\SubjectCat (81μs)
Illuminate\Cache\Events\KeyWritten (304μs)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (276μs)
Illuminate\Cache\Events\CacheHit (248μs)
Illuminate\Cache\Events\CacheHit (226μs)
Illuminate\Cache\Events\CacheHit (369μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (1.1ms)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (212μs)
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Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (205μs)
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Illuminate\Cache\Events\CacheMissed (303μs)
Illuminate\Database\Events\StatementPrepared (1.2ms)
Illuminate\Database\Events\QueryExecuted (1.05ms)
eloquent.retrieved: App\Models\SubjectCat (77μs)
Illuminate\Cache\Events\KeyWritten (386μs)
Illuminate\Cache\Events\CacheHit (1.29ms)
Illuminate\Cache\Events\CacheHit (237μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (189μs)
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311 x Illuminate\Cache\Events\CacheHit (15.94%)	68.53ms
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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
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22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
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select * from `subjects` where `subjects`.`id` in (10)

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19. app/Repositories/HomeworkLibraryRepository.php:30
20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
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23. app/Repositories/HomeworkLibraryRepository.php:39
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Bindings	0: 33
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select * from `subject_cats` where `subject_cats`.`id` = 11 limit 1

1.05mstwenty4_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

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1.61mstwenty4_siteSubject.php#100

Bindings	0: 5
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Bindings	0: 34
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Bindings	0: 31
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1. (a) Prove that any function f(x) may be expressed as a sum of tw...

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