Answered: 1) Determine the global extrema of the f... |24HA

Messages Timeline Exceptions Events402 Views14 Route Queries10 Models19 Livewire0 Mails Gate Session Request

8.1.0423ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (280ms)time
Application (143ms)time
1 x Booting (66.16%)
280ms
1 x Application (33.84%)
143ms

Illuminate\Routing\Events\Routing (1.36ms)
Illuminate\Routing\Events\RouteMatched (541μs)
Illuminate\Foundation\Events\LocaleUpdated (4.42ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (190μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (338μs)
Illuminate\Database\Events\ConnectionEstablished (864μs)
Illuminate\Database\Events\StatementPrepared (8.62ms)
Illuminate\Database\Events\QueryExecuted (1.54ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (198μs)
eloquent.booting: App\Models\Subject (144μs)
eloquent.booted: App\Models\Subject (62μs)
Illuminate\Database\Events\StatementPrepared (2.21ms)
Illuminate\Database\Events\QueryExecuted (1.13ms)
eloquent.retrieved: App\Models\Subject (165μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (174μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (94μs)
Illuminate\Database\Events\StatementPrepared (933μs)
Illuminate\Database\Events\QueryExecuted (2.39ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (121μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (21μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (14μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (11μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (10μs)
eloquent.booting: App\Models\SubjectCat (473μs)
eloquent.booted: App\Models\SubjectCat (65μs)
Illuminate\Database\Events\StatementPrepared (834μs)
Illuminate\Database\Events\QueryExecuted (964μs)
eloquent.retrieved: App\Models\SubjectCat (332μs)
Illuminate\Cache\Events\CacheHit (11.74ms)
Illuminate\Cache\Events\CacheMissed (169μs)
Illuminate\Database\Events\StatementPrepared (886μs)
Illuminate\Database\Events\QueryExecuted (3.5ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (126μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (23μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (15μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (12μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
Illuminate\Database\Events\StatementPrepared (856μs)
Illuminate\Database\Events\QueryExecuted (1.08ms)
eloquent.retrieved: App\Models\Subject (174μs)
Illuminate\Cache\Events\KeyWritten (804μs)
Illuminate\Database\Events\StatementPrepared (1.75ms)
Illuminate\Database\Events\QueryExecuted (1.12ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (185μs)
Illuminate\Database\Events\StatementPrepared (3.01ms)
Illuminate\Database\Events\QueryExecuted (1.08ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (75μs)
Illuminate\Database\Events\StatementPrepared (1.86ms)
Illuminate\Database\Events\QueryExecuted (870μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (60μs)
Illuminate\Cache\Events\CacheHit (391μs)
creating: homework.show (369μs)
composing: homework.show (346μs)
creating: components.breadcrumbs (305μs)
composing: components.breadcrumbs (187μs)
Illuminate\Database\Events\StatementPrepared (1.46ms)
Illuminate\Database\Events\QueryExecuted (959μs)
eloquent.retrieved: App\Models\SubjectCat (101μs)
Illuminate\Cache\Events\CacheHit (4.3ms)
Illuminate\Cache\Events\CacheHit (257μs)
Illuminate\Cache\Events\CacheHit (230μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (222μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (240μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (225μs)
Illuminate\Cache\Events\CacheHit (237μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (237μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (215μs)
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Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (222μs)
Illuminate\Cache\Events\CacheHit (183μs)
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Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (242μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (258μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (224μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (224μs)
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Illuminate\Cache\Events\CacheHit (256μs)
Illuminate\Cache\Events\CacheHit (237μs)
Illuminate\Cache\Events\CacheHit (210μs)
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Illuminate\Cache\Events\CacheHit (154μs)
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Illuminate\Cache\Events\CacheHit (166μs)
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Illuminate\Cache\Events\CacheHit (209μs)
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Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (162μs)
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Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (185μs)
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Illuminate\Cache\Events\CacheHit (185μs)
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Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (163μs)
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Illuminate\Cache\Events\CacheHit (210μs)
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Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (186μs)
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Illuminate\Cache\Events\CacheHit (232μs)
Illuminate\Cache\Events\CacheHit (204μs)
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Illuminate\Cache\Events\CacheHit (162μs)
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Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (163μs)
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Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (161μs)
creating: site.layouts.app (468μs)
composing: site.layouts.app (25μs)
creating: components.canonical (480μs)
composing: components.canonical (108μs)
creating: components.open-graph (205μs)
composing: components.open-graph (78μs)
creating: site.headers.header (308μs)
composing: site.headers.header (77μs)
Illuminate\Cache\Events\CacheHit (1.96ms)
creating: components.footer (92μs)
composing: components.footer (100μs)
Illuminate\Cache\Events\CacheHit (984μs)
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Illuminate\Cache\Events\CacheHit (268μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (265μs)
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Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (198μs)
creating: components.forms.contact-us (280μs)
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creating: components.forms.get-started (159μs)
composing: components.forms.get-started (75μs)
creating: components.forms.free-tool-download (117μs)
composing: components.forms.free-tool-download (66μs)
creating: components.forms.claim-free-worksheet (114μs)
composing: components.forms.claim-free-worksheet (66μs)
creating: components.forms.tutor-subscription-waitlist (114μs)
composing: components.forms.tutor-subscription-waitlist (64μs)
creating: components.forms.tutor-subscription-join (113μs)
composing: components.forms.tutor-subscription-join (65μs)
creating: components.forms.tutor-support (111μs)
composing: components.forms.tutor-support (65μs)

321 x Illuminate\Cache\Events\CacheHit (19.98%)	84.52ms
10 x Illuminate\Database\Events\StatementPrepared (5.3%)	22.41ms
10 x Illuminate\Database\Events\QueryExecuted (3.46%)	14.64ms
1 x Illuminate\Foundation\Events\LocaleUpdated (1.04%)	4.42ms
1 x Illuminate\Routing\Events\Routing (0.32%)	1.36ms
1 x Illuminate\Database\Events\ConnectionEstablished (0.2%)	864μs
1 x Illuminate\Cache\Events\KeyWritten (0.19%)	804μs
1 x Illuminate\Routing\Events\RouteMatched (0.13%)	541μs
8 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.12%)	497μs
1 x creating: components.canonical (0.11%)	480μs
1 x eloquent.booting: App\Models\SubjectCat (0.11%)	473μs
1 x creating: site.layouts.app (0.11%)	468μs
2 x eloquent.retrieved: App\Models\SubjectCat (0.1%)	433μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.09%)	400μs
1 x creating: homework.show (0.09%)	369μs
1 x composing: homework.show (0.08%)	346μs
2 x eloquent.retrieved: App\Models\Subject (0.08%)	339μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.08%)	338μs
1 x creating: site.headers.header (0.07%)	308μs
1 x creating: components.breadcrumbs (0.07%)	305μs
1 x creating: components.forms.contact-us (0.07%)	280μs
1 x creating: components.open-graph (0.05%)	205μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	190μs
1 x composing: components.breadcrumbs (0.04%)	187μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.04%)	174μs
1 x Illuminate\Cache\Events\CacheMissed (0.04%)	169μs
1 x composing: components.forms.contact-us (0.04%)	168μs
1 x creating: components.forms.get-started (0.04%)	159μs
1 x eloquent.booting: App\Models\Subject (0.03%)	144μs
1 x creating: components.forms.free-tool-download (0.03%)	117μs
1 x creating: components.forms.claim-free-worksheet (0.03%)	114μs
1 x creating: components.forms.tutor-subscription-waitlist (0.03%)	114μs
1 x creating: components.forms.tutor-subscription-join (0.03%)	113μs
1 x creating: components.forms.tutor-support (0.03%)	111μs
1 x composing: components.canonical (0.03%)	108μs
1 x composing: components.footer (0.02%)	100μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)	94μs
1 x creating: components.footer (0.02%)	92μs
1 x composing: components.open-graph (0.02%)	78μs
1 x composing: site.headers.header (0.02%)	77μs
1 x composing: components.forms.get-started (0.02%)	75μs
1 x composing: components.forms.free-tool-download (0.02%)	66μs
1 x composing: components.forms.claim-free-worksheet (0.02%)	66μs
1 x eloquent.booted: App\Models\SubjectCat (0.02%)	65μs
1 x composing: components.forms.tutor-subscription-join (0.02%)	65μs
1 x composing: components.forms.tutor-support (0.02%)	65μs
1 x composing: components.forms.tutor-subscription-waitlist (0.02%)	64μs
1 x eloquent.booted: App\Models\Subject (0.01%)	62μs
1 x composing: site.layouts.app (0.01%)	25μs

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

10 statements were executed, 4 of which were duplicates, 6 unique. Show only duplicated24.78ms

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` = '63017' limit 1

9.14mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 63017
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 (124)

1.2mstwenty4_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 (63017)

2.54mstwenty4_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

1.14mstwenty4_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` <> 63017 and `subject` = 124 and `status` = 'published' and `price` > 0 order by RAND() limit 6

3.48mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 63017 1: 124 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 (124)

1.18mstwenty4_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` = 63017 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.05mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 63017 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` = 63017 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

2.97mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 63017 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` = 63017 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

870μstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 63017 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

1.21mstwenty4_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\HomeworkLibraryFile: 8HomeworkLibraryFile.php
App\Models\HomeworkLibrary\HomeworkLibrary: 7HomeworkLibrary.php
App\Models\Subject: 2Subject.php
App\Models\SubjectCat: 2SubjectCat.php

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1) Determine the global extrema of the following functions: (a) f...

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