Answered: Problem 1. (a) Prove the following relat... |24HA

Messages Timeline Exceptions Events407 Views14 Route Queries11 Models21 Livewire0 Mails Gate Session Request

8.1.0502ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (349ms)time
Application (153ms)time
1 x Booting (69.56%)
349ms
1 x Application (30.44%)
153ms

Illuminate\Routing\Events\Routing (575μs)
Illuminate\Routing\Events\RouteMatched (331μs)
Illuminate\Foundation\Events\LocaleUpdated (1.9ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (230μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (113μs)
Illuminate\Database\Events\ConnectionEstablished (520μs)
Illuminate\Database\Events\StatementPrepared (4.15ms)
Illuminate\Database\Events\QueryExecuted (1.37ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (158μs)
eloquent.booting: App\Models\Subject (85μs)
eloquent.booted: App\Models\Subject (63μs)
Illuminate\Database\Events\StatementPrepared (3.42ms)
Illuminate\Database\Events\QueryExecuted (3.26ms)
eloquent.retrieved: App\Models\Subject (179μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (156μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (63μs)
Illuminate\Database\Events\StatementPrepared (750μs)
Illuminate\Database\Events\QueryExecuted (1.28ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (110μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (20μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (11μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (81μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (17μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.booting: App\Models\SubjectCat (513μs)
eloquent.booted: App\Models\SubjectCat (75μs)
Illuminate\Database\Events\StatementPrepared (745μs)
Illuminate\Database\Events\QueryExecuted (886μs)
eloquent.retrieved: App\Models\SubjectCat (89μs)
Illuminate\Cache\Events\CacheHit (10.95ms)
Illuminate\Cache\Events\CacheMissed (210μs)
Illuminate\Database\Events\StatementPrepared (986μs)
Illuminate\Database\Events\QueryExecuted (20.17ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (127μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (24μs)
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 (12μs)
Illuminate\Database\Events\StatementPrepared (703μs)
Illuminate\Database\Events\QueryExecuted (1.24ms)
eloquent.retrieved: App\Models\Subject (93μs)
Illuminate\Cache\Events\KeyWritten (1.02ms)
Illuminate\Database\Events\StatementPrepared (1.74ms)
Illuminate\Database\Events\QueryExecuted (1.44ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (71μs)
Illuminate\Database\Events\StatementPrepared (1.34ms)
Illuminate\Database\Events\QueryExecuted (1.27ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (57μs)
Illuminate\Database\Events\StatementPrepared (962μs)
Illuminate\Database\Events\QueryExecuted (1.19ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (53μs)
Illuminate\Cache\Events\CacheHit (485μs)
creating: homework.show (317μs)
composing: homework.show (117μs)
creating: components.breadcrumbs (317μs)
composing: components.breadcrumbs (127μs)
Illuminate\Database\Events\StatementPrepared (1.32ms)
Illuminate\Database\Events\QueryExecuted (949μs)
eloquent.retrieved: App\Models\SubjectCat (68μs)
Illuminate\Cache\Events\CacheHit (4.58ms)
Illuminate\Cache\Events\CacheHit (283μs)
Illuminate\Cache\Events\CacheHit (240μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (229μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (288μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (234μs)
Illuminate\Cache\Events\CacheHit (224μs)
Illuminate\Cache\Events\CacheHit (237μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (128μs)
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Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (379μs)
Illuminate\Cache\Events\CacheHit (226μs)
Illuminate\Cache\Events\CacheHit (225μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (252μs)
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Illuminate\Cache\Events\CacheHit (258μs)
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Illuminate\Cache\Events\CacheHit (222μs)
Illuminate\Cache\Events\CacheHit (184μs)
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Illuminate\Cache\Events\CacheHit (148μs)
Illuminate\Cache\Events\CacheHit (321μs)
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Illuminate\Cache\Events\CacheHit (260μs)
Illuminate\Cache\Events\CacheHit (200μs)
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Illuminate\Cache\Events\CacheHit (313μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (368μs)
Illuminate\Cache\Events\CacheHit (228μs)
Illuminate\Cache\Events\CacheHit (338μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (250μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (255μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (223μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (224μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (279μs)
Illuminate\Cache\Events\CacheHit (299μs)
Illuminate\Cache\Events\CacheHit (243μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (313μs)
Illuminate\Cache\Events\CacheHit (249μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (242μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (252μs)
Illuminate\Cache\Events\CacheHit (352μs)
Illuminate\Cache\Events\CacheHit (331μs)
Illuminate\Cache\Events\CacheHit (408μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (330μs)
Illuminate\Cache\Events\CacheHit (347μs)
Illuminate\Cache\Events\CacheHit (313μs)
Illuminate\Cache\Events\CacheHit (308μs)
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Illuminate\Cache\Events\CacheHit (203μs)
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Illuminate\Cache\Events\CacheHit (174μs)
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Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (179μs)
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Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (225μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (194μs)
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Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (179μs)
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Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (177μs)
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Illuminate\Cache\Events\CacheHit (165μs)
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Illuminate\Cache\Events\CacheMissed (194μs)
Illuminate\Database\Events\StatementPrepared (789μs)
Illuminate\Database\Events\QueryExecuted (928μs)
eloquent.retrieved: App\Models\SubjectCat (118μs)
Illuminate\Cache\Events\KeyWritten (296μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (208μs)
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Illuminate\Cache\Events\CacheHit (289μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (179μs)
creating: site.layouts.app (517μs)
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creating: components.canonical (358μs)
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creating: components.open-graph (161μs)
composing: components.open-graph (80μs)
creating: site.headers.header (271μs)
composing: site.headers.header (98μs)
Illuminate\Cache\Events\CacheHit (1.68ms)
creating: components.footer (88μs)
composing: components.footer (94μs)
Illuminate\Cache\Events\CacheHit (845μs)
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Illuminate\Cache\Events\CacheHit (217μs)
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creating: components.forms.contact-us (237μs)
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composing: components.forms.get-started (70μs)
creating: components.forms.free-tool-download (94μs)
composing: components.forms.free-tool-download (65μs)
creating: components.forms.claim-free-worksheet (94μs)
composing: components.forms.claim-free-worksheet (65μs)
creating: components.forms.tutor-subscription-waitlist (92μs)
composing: components.forms.tutor-subscription-waitlist (61μs)
creating: components.forms.tutor-subscription-join (95μs)
composing: components.forms.tutor-subscription-join (175μs)
creating: components.forms.tutor-support (113μs)
composing: components.forms.tutor-support (66μs)

320 x Illuminate\Cache\Events\CacheHit (16.83%)	84.45ms
11 x Illuminate\Database\Events\QueryExecuted (6.77%)	34.00ms
11 x Illuminate\Database\Events\StatementPrepared (3.37%)	16.91ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.38%)	1.90ms
2 x Illuminate\Cache\Events\KeyWritten (0.26%)	1.31ms
1 x Illuminate\Routing\Events\Routing (0.11%)	575μs
1 x Illuminate\Database\Events\ConnectionEstablished (0.1%)	520μs
1 x creating: site.layouts.app (0.1%)	517μs
1 x eloquent.booting: App\Models\SubjectCat (0.1%)	513μs
9 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.09%)	429μs
2 x Illuminate\Cache\Events\CacheMissed (0.08%)	404μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.07%)	359μs
1 x creating: components.canonical (0.07%)	358μs
1 x composing: components.forms.contact-us (0.07%)	342μs
1 x Illuminate\Routing\Events\RouteMatched (0.07%)	331μs
1 x creating: homework.show (0.06%)	317μs
1 x creating: components.breadcrumbs (0.06%)	317μs
3 x eloquent.retrieved: App\Models\SubjectCat (0.05%)	275μs
2 x eloquent.retrieved: App\Models\Subject (0.05%)	272μs
1 x creating: site.headers.header (0.05%)	271μs
1 x creating: components.forms.contact-us (0.05%)	237μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)	230μs
1 x composing: components.forms.tutor-subscription-join (0.03%)	175μs
1 x creating: components.open-graph (0.03%)	161μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)	156μs
1 x composing: components.breadcrumbs (0.03%)	127μs
1 x creating: components.forms.get-started (0.02%)	117μs
1 x composing: homework.show (0.02%)	117μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)	113μs
1 x creating: components.forms.tutor-support (0.02%)	113μs
1 x composing: site.headers.header (0.02%)	98μs
1 x creating: components.forms.tutor-subscription-join (0.02%)	95μs
1 x creating: components.forms.free-tool-download (0.02%)	94μs
1 x creating: components.forms.claim-free-worksheet (0.02%)	94μs
1 x composing: components.footer (0.02%)	94μs
1 x composing: components.canonical (0.02%)	93μs
1 x creating: components.forms.tutor-subscription-waitlist (0.02%)	92μs
1 x creating: components.footer (0.02%)	88μs
1 x eloquent.booting: App\Models\Subject (0.02%)	85μs
1 x composing: components.open-graph (0.02%)	80μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	75μs
1 x composing: components.forms.get-started (0.01%)	70μs
1 x composing: components.forms.tutor-support (0.01%)	66μs
1 x composing: components.forms.free-tool-download (0.01%)	65μs
1 x composing: components.forms.claim-free-worksheet (0.01%)	65μs
1 x eloquent.booted: App\Models\Subject (0.01%)	63μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)	63μs
1 x composing: components.forms.tutor-subscription-waitlist (0.01%)	61μs
1 x composing: site.layouts.app (0%)	22μs

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 duplicated39.46ms

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` = '58143' limit 1

4.68mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 58143
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)

4.92mstwenty4_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 (58143)

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 `subject_cats` where `subject_cats`.`id` = 1 limit 1

1.01mstwenty4_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` <> 58143 and `subject` = 60 and `status` = 'published' and `price` > 0 order by RAND() limit 6

20.33mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 58143 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)

1.25mstwenty4_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` = 58143 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.37mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 58143 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` = 58143 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.33mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 58143 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` = 58143 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.21mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 58143 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

1.11mstwenty4_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` = 31 limit 1

1.1mstwenty4_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

App\Models\HomeworkLibrary\HomeworkLibraryFile: 9HomeworkLibraryFile.php
App\Models\HomeworkLibrary\HomeworkLibrary: 7HomeworkLibrary.php
App\Models\SubjectCat: 3SubjectCat.php
App\Models\Subject: 2Subject.php

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Problem 1. (a) Prove the following relative of the Markov-Chebyshe...

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