Answered: 3. Let f(x) = 4 x (1-x) on [0,1]. Show th... |24HA

Messages Timeline Exceptions Events401 Views14 Route Queries10 Models18 Livewire0 Mails Gate Session Request

8.1.0321ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (191ms)time
Application (130ms)time
1 x Booting (59.48%)
191ms
1 x Application (40.52%)
130ms

Illuminate\Routing\Events\Routing (996μs)
Illuminate\Routing\Events\RouteMatched (406μs)
Illuminate\Foundation\Events\LocaleUpdated (2.99ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (216μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (215μs)
Illuminate\Database\Events\ConnectionEstablished (1.02ms)
Illuminate\Database\Events\StatementPrepared (11.9ms)
Illuminate\Database\Events\QueryExecuted (1.17ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (86μs)
eloquent.booting: App\Models\Subject (51μs)
eloquent.booted: App\Models\Subject (129μs)
Illuminate\Database\Events\StatementPrepared (1.33ms)
Illuminate\Database\Events\QueryExecuted (1.4ms)
eloquent.retrieved: App\Models\Subject (91μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (76μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (37μs)
Illuminate\Database\Events\StatementPrepared (747μs)
Illuminate\Database\Events\QueryExecuted (2.88ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (102μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (15μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.booting: App\Models\SubjectCat (221μs)
eloquent.booted: App\Models\SubjectCat (51μs)
Illuminate\Database\Events\StatementPrepared (878μs)
Illuminate\Database\Events\QueryExecuted (1.12ms)
eloquent.retrieved: App\Models\SubjectCat (120μs)
Illuminate\Cache\Events\CacheHit (14.47ms)
Illuminate\Cache\Events\CacheMissed (219μs)
Illuminate\Database\Events\StatementPrepared (1.23ms)
Illuminate\Database\Events\QueryExecuted (18.59ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (86μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (16μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (5μs)
Illuminate\Database\Events\StatementPrepared (868μs)
Illuminate\Database\Events\QueryExecuted (1.16ms)
eloquent.retrieved: App\Models\Subject (98μs)
Illuminate\Cache\Events\KeyWritten (831μs)
Illuminate\Database\Events\StatementPrepared (1.62ms)
Illuminate\Database\Events\QueryExecuted (1.23ms)
Illuminate\Database\Events\StatementPrepared (807μs)
Illuminate\Database\Events\QueryExecuted (1.23ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (52μs)
Illuminate\Database\Events\StatementPrepared (1.14ms)
Illuminate\Database\Events\QueryExecuted (1.18ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (50μs)
Illuminate\Cache\Events\CacheHit (354μs)
creating: homework.show (202μs)
composing: homework.show (104μs)
creating: components.breadcrumbs (225μs)
composing: components.breadcrumbs (91μs)
Illuminate\Database\Events\StatementPrepared (1.24ms)
Illuminate\Database\Events\QueryExecuted (906μs)
eloquent.retrieved: App\Models\SubjectCat (75μs)
Illuminate\Cache\Events\CacheHit (3.23ms)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (142μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (138μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (114μs)
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Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (148μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (238μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (148μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (132μs)
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Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (149μs)
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Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (134μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (139μs)
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Illuminate\Cache\Events\CacheHit (116μs)
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Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (119μs)
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Illuminate\Cache\Events\CacheHit (191μs)
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Illuminate\Cache\Events\CacheHit (114μs)
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Illuminate\Cache\Events\CacheHit (138μs)
Illuminate\Cache\Events\CacheHit (131μs)
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Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (144μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (142μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (142μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (147μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (520μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (261μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (146μs)
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Illuminate\Cache\Events\CacheHit (133μs)
Illuminate\Cache\Events\CacheHit (149μs)
Illuminate\Cache\Events\CacheHit (143μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (147μs)
Illuminate\Cache\Events\CacheHit (127μs)
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Illuminate\Cache\Events\CacheHit (127μs)
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Illuminate\Cache\Events\CacheHit (106μs)
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Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (113μs)
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Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (125μs)
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Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (126μs)
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Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (112μs)
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Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (240μs)
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Illuminate\Cache\Events\CacheHit (122μs)
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Illuminate\Cache\Events\CacheHit (150μs)
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Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (102μs)
creating: site.layouts.app (350μs)
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creating: components.canonical (318μs)
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creating: components.open-graph (126μs)
composing: components.open-graph (49μs)
creating: site.headers.header (188μs)
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Illuminate\Cache\Events\CacheHit (1.31ms)
creating: components.footer (80μs)
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Illuminate\Cache\Events\CacheHit (740μs)
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creating: components.forms.free-tool-download (73μs)
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creating: components.forms.claim-free-worksheet (69μs)
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creating: components.forms.tutor-subscription-waitlist (65μs)
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creating: components.forms.tutor-support (63μs)
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321 x Illuminate\Cache\Events\CacheHit (19.4%)	62.30ms
10 x Illuminate\Database\Events\QueryExecuted (9.62%)	30.88ms
10 x Illuminate\Database\Events\StatementPrepared (6.77%)	21.74ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.93%)	2.99ms
1 x Illuminate\Database\Events\ConnectionEstablished (0.32%)	1.02ms
1 x Illuminate\Routing\Events\Routing (0.31%)	996μs
1 x Illuminate\Cache\Events\KeyWritten (0.26%)	831μs
1 x Illuminate\Routing\Events\RouteMatched (0.13%)	406μs
1 x creating: site.layouts.app (0.11%)	350μs
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7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.07%)	239μs
1 x creating: components.breadcrumbs (0.07%)	225μs
1 x eloquent.booting: App\Models\SubjectCat (0.07%)	221μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.07%)	220μs
1 x Illuminate\Cache\Events\CacheMissed (0.07%)	219μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.07%)	216μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.07%)	215μs
1 x creating: homework.show (0.06%)	202μs
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2 x eloquent.retrieved: App\Models\Subject (0.06%)	189μs
1 x creating: site.headers.header (0.06%)	188μs
1 x creating: components.forms.contact-us (0.06%)	187μs
1 x eloquent.booted: App\Models\Subject (0.04%)	129μs
1 x creating: components.open-graph (0.04%)	126μs
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1 x composing: components.forms.contact-us (0.04%)	117μs
1 x composing: homework.show (0.03%)	104μs
1 x creating: components.forms.get-started (0.03%)	101μs
1 x composing: components.breadcrumbs (0.03%)	91μs
1 x creating: components.footer (0.02%)	80μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)	76μs
1 x creating: components.forms.free-tool-download (0.02%)	73μs
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1 x creating: components.forms.tutor-subscription-waitlist (0.02%)	65μs
1 x creating: components.forms.tutor-subscription-join (0.02%)	64μs
1 x creating: components.forms.tutor-support (0.02%)	63μs
1 x composing: components.forms.tutor-support (0.02%)	55μs
1 x eloquent.booted: App\Models\SubjectCat (0.02%)	51μs
1 x eloquent.booting: App\Models\Subject (0.02%)	51μs
1 x composing: components.open-graph (0.02%)	49μs
1 x composing: site.headers.header (0.02%)	49μs
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1 x composing: components.forms.tutor-subscription-join (0.01%)	38μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)	37μs
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1x homework.showshow.blade.phpblade
1x components.breadcrumbsbreadcrumbs.blade.phpblade
1x site.layouts.appapp.blade.phpblade
1x components.canonicalcanonical.blade.phpblade
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uri: GET college-homework-library/{category}/{subject}/{id}
middleware: web, utm.parameters
controller: App\Http\Controllers\HomeworkLibraryController@show
namespace
where
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file: app/Http/Controllers/HomeworkLibraryController.php:79-176

10 statements were executed, 4 of which were duplicates, 6 unique. Show only duplicated44.38ms

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` = '55436' limit 1

12.23mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 55436
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)

1.65mstwenty4_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 (55436)

3.13mstwenty4_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

1.29mstwenty4_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` <> 55436 and `subject` = 60 and `status` = 'published' and `price` > 0 order by RAND() limit 6

19.01mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 55436 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)

1.37mstwenty4_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` = 55436 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.6mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 55436 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` = 55436 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.41mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 55436 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` = 55436 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.43mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 55436 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

1.26mstwenty4_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

App\Models\HomeworkLibrary\HomeworkLibrary: 7HomeworkLibrary.php
App\Models\HomeworkLibrary\HomeworkLibraryFile: 7HomeworkLibraryFile.php
App\Models\Subject: 2Subject.php
App\Models\SubjectCat: 2SubjectCat.php

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3. Let f(x) = 4 x (1-x) on [0,1]. Show that f(x) = sin² [ 2 arcsin[...

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