Answered: (1) Suppose that f1 : [0,1] R and f2 : (1... |24HA

Messages Timeline Exceptions Events415 Views14 Route Queries11 Models29 Livewire0 Mails Gate Session Request

8.1.0703ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (502ms)time
Application (201ms)time
1 x Booting (71.43%)
502ms
1 x Application (28.56%)
201ms

Illuminate\Routing\Events\Routing (3.05ms)
Illuminate\Routing\Events\RouteMatched (601μs)
Illuminate\Foundation\Events\LocaleUpdated (7.44ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (195μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (222μs)
Illuminate\Database\Events\ConnectionEstablished (861μs)
Illuminate\Database\Events\StatementPrepared (5.81ms)
Illuminate\Database\Events\QueryExecuted (1.18ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (257μs)
eloquent.booting: App\Models\Subject (79μs)
eloquent.booted: App\Models\Subject (59μs)
Illuminate\Database\Events\StatementPrepared (1.45ms)
Illuminate\Database\Events\QueryExecuted (1.13ms)
eloquent.retrieved: App\Models\Subject (117μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (112μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (179μs)
Illuminate\Database\Events\StatementPrepared (1.72ms)
Illuminate\Database\Events\QueryExecuted (4.96ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (91μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (20μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (12μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.booting: App\Models\SubjectCat (404μs)
eloquent.booted: App\Models\SubjectCat (61μs)
Illuminate\Database\Events\StatementPrepared (1.8ms)
Illuminate\Database\Events\QueryExecuted (1.05ms)
eloquent.retrieved: App\Models\SubjectCat (154μs)
Illuminate\Cache\Events\CacheHit (32.62ms)
Illuminate\Cache\Events\CacheMissed (224μs)
Illuminate\Database\Events\StatementPrepared (1.15ms)
Illuminate\Database\Events\QueryExecuted (4.4ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (89μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (22μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (14μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
Illuminate\Database\Events\StatementPrepared (878μs)
Illuminate\Database\Events\QueryExecuted (1.13ms)
eloquent.retrieved: App\Models\Subject (97μs)
Illuminate\Cache\Events\KeyWritten (1.36ms)
Illuminate\Database\Events\StatementPrepared (2.42ms)
Illuminate\Database\Events\QueryExecuted (1.14ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (53μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (14μs)
Illuminate\Database\Events\StatementPrepared (3.04ms)
Illuminate\Database\Events\QueryExecuted (916μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (39μs)
Illuminate\Database\Events\StatementPrepared (1.28ms)
Illuminate\Database\Events\QueryExecuted (1.08ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (46μs)
Illuminate\Cache\Events\CacheHit (382μs)
creating: homework.show (274μs)
composing: homework.show (119μs)
creating: components.breadcrumbs (319μs)
composing: components.breadcrumbs (166μs)
Illuminate\Database\Events\StatementPrepared (1.96ms)
Illuminate\Database\Events\QueryExecuted (1.01ms)
eloquent.retrieved: App\Models\SubjectCat (78μs)
Illuminate\Cache\Events\CacheHit (3.79ms)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (231μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (359μs)
Illuminate\Cache\Events\CacheHit (225μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (243μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (3.27ms)
Illuminate\Cache\Events\CacheHit (1.13ms)
Illuminate\Cache\Events\CacheHit (7.98ms)
Illuminate\Cache\Events\CacheHit (247μs)
Illuminate\Cache\Events\CacheHit (232μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (282μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (388μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (144μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (246μs)
Illuminate\Cache\Events\CacheHit (259μs)
Illuminate\Cache\Events\CacheHit (485μs)
Illuminate\Cache\Events\CacheHit (283μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (295μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (273μs)
Illuminate\Cache\Events\CacheHit (278μs)
Illuminate\Cache\Events\CacheHit (285μs)
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Illuminate\Cache\Events\CacheHit (241μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (356μs)
Illuminate\Cache\Events\CacheHit (673μs)
Illuminate\Cache\Events\CacheHit (470μs)
Illuminate\Cache\Events\CacheHit (309μs)
Illuminate\Cache\Events\CacheHit (240μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (311μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (249μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (238μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (301μs)
Illuminate\Cache\Events\CacheHit (291μs)
Illuminate\Cache\Events\CacheHit (434μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (298μs)
Illuminate\Cache\Events\CacheHit (271μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (395μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (271μs)
Illuminate\Cache\Events\CacheHit (275μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (295μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (295μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (226μs)
Illuminate\Cache\Events\CacheHit (267μs)
Illuminate\Cache\Events\CacheHit (200μs)
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Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (250μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (220μs)
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Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (362μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (173μs)
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Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (177μs)
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Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (177μs)
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Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (285μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (294μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (269μs)
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Illuminate\Cache\Events\CacheHit (291μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (174μs)
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Illuminate\Cache\Events\CacheHit (235μs)
Illuminate\Cache\Events\CacheHit (177μs)
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Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (153μs)
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Illuminate\Cache\Events\CacheHit (358μs)
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Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (164μs)
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composing: site.layouts.app (26μs)
creating: components.canonical (440μs)
composing: components.canonical (93μs)
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composing: components.open-graph (171μs)
creating: site.headers.header (372μs)
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eloquent.retrieved: App\Models\SubjectCat (98μs)
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Illuminate\Cache\Events\CacheHit (369μs)
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creating: components.forms.contact-us (297μs)
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creating: components.forms.get-started (216μs)
composing: components.forms.get-started (91μs)
creating: components.forms.free-tool-download (147μs)
composing: components.forms.free-tool-download (80μs)
creating: components.forms.claim-free-worksheet (142μs)
composing: components.forms.claim-free-worksheet (216μs)
creating: components.forms.tutor-subscription-waitlist (159μs)
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320 x Illuminate\Cache\Events\CacheHit (18.06%)	127ms
11 x Illuminate\Database\Events\StatementPrepared (3.21%)	22.55ms
11 x Illuminate\Database\Events\QueryExecuted (2.73%)	19.19ms
1 x Illuminate\Foundation\Events\LocaleUpdated (1.06%)	7.44ms
1 x Illuminate\Routing\Events\Routing (0.43%)	3.05ms
2 x Illuminate\Cache\Events\CacheMissed (0.4%)	2.79ms
2 x Illuminate\Cache\Events\KeyWritten (0.27%)	1.92ms
1 x Illuminate\Database\Events\ConnectionEstablished (0.12%)	861μs
1 x Illuminate\Routing\Events\RouteMatched (0.09%)	601μs
1 x creating: site.layouts.app (0.06%)	457μs
1 x creating: components.canonical (0.06%)	440μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.06%)	417μs
1 x eloquent.booting: App\Models\SubjectCat (0.06%)	404μs
1 x creating: site.headers.header (0.05%)	372μs
17 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.05%)	360μs
3 x eloquent.retrieved: App\Models\SubjectCat (0.05%)	330μs
1 x creating: components.breadcrumbs (0.05%)	319μs
1 x creating: components.forms.contact-us (0.04%)	297μs
1 x creating: homework.show (0.04%)	274μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)	222μs
1 x creating: components.forms.get-started (0.03%)	216μs
1 x composing: components.forms.claim-free-worksheet (0.03%)	216μs
2 x eloquent.retrieved: App\Models\Subject (0.03%)	214μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)	195μs
1 x composing: components.forms.contact-us (0.03%)	195μs
1 x creating: components.open-graph (0.03%)	191μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)	179μs
1 x composing: components.open-graph (0.02%)	171μs
1 x composing: components.breadcrumbs (0.02%)	166μs
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1 x composing: homework.show (0.02%)	119μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)	112μs
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1 x composing: components.forms.tutor-subscription-join (0.01%)	73μs
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1 x eloquent.booted: App\Models\SubjectCat (0.01%)	61μs
1 x eloquent.booted: App\Models\Subject (0.01%)	59μs
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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

11 statements were executed, 4 of which were duplicates, 7 unique. Show only duplicated30.11ms

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` = '58140' limit 1

6.07mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 58140
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)

1.15mstwenty4_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 (58140)

6.04mstwenty4_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

2.03mstwenty4_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` <> 58140 and `subject` = 125 and `status` = 'published' and `price` > 0 order by RAND() limit 6

4.5mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 58140 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)

1.01mstwenty4_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` = 58140 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.78mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 58140 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` = 58140 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

3.1mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 58140 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` = 58140 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.4mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 58140 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

1.67mstwenty4_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` = 36 limit 1

1.36mstwenty4_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

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

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(1) Suppose that f1 : [0,1] R and f2 : (1, 2] R are measurable func...

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