Answered: 1. (20 points) A finite difference approx... |24HA

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

8.1.0319ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (175ms)time
Application (145ms)time
1 x Booting (54.69%)
175ms
1 x Application (45.3%)
145ms

Illuminate\Routing\Events\Routing (861μs)
Illuminate\Routing\Events\RouteMatched (416μs)
Illuminate\Foundation\Events\LocaleUpdated (3.65ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (236μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (145μs)
Illuminate\Database\Events\ConnectionEstablished (744μs)
Illuminate\Database\Events\StatementPrepared (7.19ms)
Illuminate\Database\Events\QueryExecuted (977μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (84μs)
eloquent.booting: App\Models\Subject (84μs)
eloquent.booted: App\Models\Subject (40μs)
Illuminate\Database\Events\StatementPrepared (1.39ms)
Illuminate\Database\Events\QueryExecuted (1.1ms)
eloquent.retrieved: App\Models\Subject (134μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (118μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (44μs)
Illuminate\Database\Events\StatementPrepared (607μs)
Illuminate\Database\Events\QueryExecuted (2.02ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (61μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (14μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
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 (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (74μs)
eloquent.booting: App\Models\SubjectCat (363μs)
eloquent.booted: App\Models\SubjectCat (50μs)
Illuminate\Database\Events\StatementPrepared (899μs)
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eloquent.retrieved: App\Models\SubjectCat (67μs)
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Illuminate\Cache\Events\CacheMissed (191μs)
Illuminate\Database\Events\StatementPrepared (840μs)
Illuminate\Database\Events\QueryExecuted (22.51ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (91μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (16μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
Illuminate\Database\Events\StatementPrepared (631μs)
Illuminate\Database\Events\QueryExecuted (750μs)
eloquent.retrieved: App\Models\Subject (70μs)
Illuminate\Cache\Events\KeyWritten (746μs)
Illuminate\Database\Events\StatementPrepared (2.29ms)
Illuminate\Database\Events\QueryExecuted (1.01ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (44μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (13μs)
Illuminate\Database\Events\StatementPrepared (814μs)
Illuminate\Database\Events\QueryExecuted (848μs)
Illuminate\Database\Events\StatementPrepared (625μs)
Illuminate\Database\Events\QueryExecuted (812μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (34μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (11μs)
Illuminate\Cache\Events\CacheHit (581μs)
creating: homework.show (239μs)
composing: homework.show (113μs)
creating: components.breadcrumbs (388μs)
composing: components.breadcrumbs (129μs)
Illuminate\Database\Events\StatementPrepared (1.03ms)
Illuminate\Database\Events\QueryExecuted (691μs)
eloquent.retrieved: App\Models\SubjectCat (67μs)
Illuminate\Cache\Events\CacheMissed (4.12ms)
Illuminate\Database\Events\StatementPrepared (575μs)
Illuminate\Database\Events\QueryExecuted (731μs)
eloquent.retrieved: App\Models\SubjectCat (51μs)
Illuminate\Cache\Events\KeyWritten (276μs)
Illuminate\Cache\Events\CacheHit (177μs)
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Illuminate\Cache\Events\CacheHit (138μs)
Illuminate\Cache\Events\CacheHit (103μs)
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Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (114μs)
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Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheMissed (184μs)
Illuminate\Database\Events\StatementPrepared (534μs)
Illuminate\Database\Events\QueryExecuted (753μs)
eloquent.retrieved: App\Models\SubjectCat (49μs)
Illuminate\Cache\Events\KeyWritten (254μs)
Illuminate\Cache\Events\CacheHit (164μs)
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Illuminate\Cache\Events\CacheHit (122μs)
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Illuminate\Cache\Events\CacheMissed (163μs)
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Illuminate\Database\Events\QueryExecuted (715μs)
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Illuminate\Cache\Events\CacheHit (189μs)
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Illuminate\Cache\Events\CacheHit (108μs)
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Illuminate\Cache\Events\CacheHit (150μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheMissed (175μs)
Illuminate\Database\Events\StatementPrepared (586μs)
Illuminate\Database\Events\QueryExecuted (756μs)
eloquent.retrieved: App\Models\SubjectCat (52μs)
Illuminate\Cache\Events\KeyWritten (241μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (147μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (95μs)
Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (113μs)
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Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (94μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheMissed (167μs)
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Illuminate\Database\Events\QueryExecuted (762μs)
eloquent.retrieved: App\Models\SubjectCat (51μs)
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Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (155μs)
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Illuminate\Cache\Events\CacheHit (144μs)
Illuminate\Cache\Events\CacheHit (143μs)
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Illuminate\Cache\Events\CacheHit (150μs)
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Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (554μs)
Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheHit (222μs)
Illuminate\Cache\Events\CacheHit (104μs)
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Illuminate\Cache\Events\CacheHit (94μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (93μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (93μs)
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Illuminate\Cache\Events\CacheHit (105μs)
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Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (90μs)
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Illuminate\Cache\Events\CacheMissed (164μs)
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Illuminate\Database\Events\QueryExecuted (738μs)
eloquent.retrieved: App\Models\SubjectCat (50μs)
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Illuminate\Cache\Events\CacheHit (148μs)
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311 x Illuminate\Cache\Events\CacheHit (17.47%)	55.81ms
20 x Illuminate\Database\Events\QueryExecuted (12.46%)	39.79ms
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11 x Illuminate\Cache\Events\CacheMissed (1.87%)	5.99ms
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1 x creating: components.breadcrumbs (0.12%)	388μs
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14 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.09%)	292μs
1 x creating: homework.show (0.07%)	239μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.07%)	236μs
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uri: GET college-homework-library/{category}/{subject}/{id}
middleware: web, utm.parameters
controller: App\Http\Controllers\HomeworkLibraryController@show
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where
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file: app/Http/Controllers/HomeworkLibraryController.php:79-176

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Connection Establishedtwenty4_siteHomeworkLibraryController.php#91

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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` = '33491' limit 1

7.48mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 33491
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)

1.18mstwenty4_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 (33491)

2.18mstwenty4_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

1.76mstwenty4_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` <> 33491 and `subject` = 60 and `status` = 'published' and `price` > 0 order by RAND() limit 6

22.67mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 33491 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)

920μstwenty4_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` = 33491 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.09mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 33491 1: question
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select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 33491 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

950μstwenty4_siteHomeworkLibrary.php#260

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select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 33491 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

920μstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 33491 1: solution
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select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1

910μstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 1
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select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1

870μstwenty4_siteSubject.php#100

Bindings	0: 1
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900μstwenty4_siteSubject.php#100

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select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1

950μstwenty4_siteSubject.php#100

Bindings	0: 4
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select * from `subject_cats` where `subject_cats`.`id` = 10 limit 1

910μstwenty4_siteSubject.php#100

Bindings	0: 10
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select * from `subject_cats` where `subject_cats`.`id` = 33 limit 1

930μstwenty4_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

860μstwenty4_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

940μstwenty4_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

1.16mstwenty4_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

950μstwenty4_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
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1. (20 points) A finite difference approximation of the first deriv...

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