Answered: Question 1. Recall that (X,T) is a T₄ ... |24HA

Messages Timeline Exceptions Events400 Views14 Route Queries10 Models17 Livewire0 Mails Gate Session Request

8.1.0494ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (321ms)time
Application (172ms)time
1 x Booting (65.11%)
321ms
1 x Application (34.89%)
172ms

Illuminate\Routing\Events\Routing (1.33ms)
Illuminate\Routing\Events\RouteMatched (471μs)
Illuminate\Foundation\Events\LocaleUpdated (2.64ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (196μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (185μs)
Illuminate\Database\Events\ConnectionEstablished (855μs)
Illuminate\Database\Events\StatementPrepared (13.4ms)
Illuminate\Database\Events\QueryExecuted (1.43ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (260μs)
eloquent.booting: App\Models\Subject (124μs)
eloquent.booted: App\Models\Subject (965μs)
Illuminate\Database\Events\StatementPrepared (8.73ms)
Illuminate\Database\Events\QueryExecuted (1.44ms)
eloquent.retrieved: App\Models\Subject (535μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (455μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (97μs)
Illuminate\Database\Events\StatementPrepared (3.09ms)
Illuminate\Database\Events\QueryExecuted (3.71ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (135μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (23μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (11μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (10μs)
eloquent.booting: App\Models\SubjectCat (1.39ms)
eloquent.booted: App\Models\SubjectCat (63μs)
Illuminate\Database\Events\StatementPrepared (843μs)
Illuminate\Database\Events\QueryExecuted (1.01ms)
eloquent.retrieved: App\Models\SubjectCat (124μs)
Illuminate\Cache\Events\CacheHit (16.76ms)
Illuminate\Cache\Events\CacheMissed (188μs)
Illuminate\Database\Events\StatementPrepared (1.84ms)
Illuminate\Database\Events\QueryExecuted (4.29ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (135μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (21μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (10μs)
Illuminate\Database\Events\StatementPrepared (736μs)
Illuminate\Database\Events\QueryExecuted (902μs)
eloquent.retrieved: App\Models\Subject (82μs)
Illuminate\Cache\Events\KeyWritten (968μs)
Illuminate\Database\Events\StatementPrepared (1.72ms)
Illuminate\Database\Events\QueryExecuted (1.1ms)
Illuminate\Database\Events\StatementPrepared (870μs)
Illuminate\Database\Events\QueryExecuted (922μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (50μs)
Illuminate\Database\Events\StatementPrepared (845μs)
Illuminate\Database\Events\QueryExecuted (1.14ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (55μs)
Illuminate\Cache\Events\CacheHit (790μs)
creating: homework.show (513μs)
composing: homework.show (161μs)
creating: components.breadcrumbs (558μs)
composing: components.breadcrumbs (258μs)
Illuminate\Database\Events\StatementPrepared (1.77ms)
Illuminate\Database\Events\QueryExecuted (1.01ms)
eloquent.retrieved: App\Models\SubjectCat (99μs)
Illuminate\Cache\Events\CacheHit (4.31ms)
Illuminate\Cache\Events\CacheHit (256μs)
Illuminate\Cache\Events\CacheHit (237μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (228μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (232μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (134μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (343μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (148μs)
Illuminate\Cache\Events\CacheHit (143μs)
Illuminate\Cache\Events\CacheHit (262μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (138μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (96μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (95μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (94μs)
Illuminate\Cache\Events\CacheHit (150μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (134μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (289μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (110μs)
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Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (160μs)
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Illuminate\Cache\Events\CacheHit (355μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (418μs)
Illuminate\Cache\Events\CacheHit (403μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (310μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (408μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (151μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (309μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (133μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (322μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (417μs)
Illuminate\Cache\Events\CacheHit (534μs)
Illuminate\Cache\Events\CacheHit (180μs)
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Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (801μs)
Illuminate\Cache\Events\CacheHit (276μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (278μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (192μs)
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Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (266μs)
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Illuminate\Cache\Events\CacheHit (246μs)
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Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (354μs)
Illuminate\Cache\Events\CacheHit (320μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (276μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (299μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (274μs)
Illuminate\Cache\Events\CacheHit (334μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (311μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (425μs)
Illuminate\Cache\Events\CacheHit (295μs)
Illuminate\Cache\Events\CacheHit (539μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (293μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (202μs)
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Illuminate\Cache\Events\CacheHit (416μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (276μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (312μs)
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Illuminate\Cache\Events\CacheHit (308μs)
Illuminate\Cache\Events\CacheHit (316μs)
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Illuminate\Cache\Events\CacheHit (178μs)
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Illuminate\Cache\Events\CacheHit (280μs)
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Illuminate\Cache\Events\CacheHit (215μs)
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Illuminate\Cache\Events\CacheHit (269μs)
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Illuminate\Cache\Events\CacheHit (547μs)
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Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (1.38ms)
Illuminate\Cache\Events\CacheHit (373μs)
Illuminate\Cache\Events\CacheHit (229μs)
Illuminate\Cache\Events\CacheHit (192μs)
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Illuminate\Cache\Events\CacheHit (271μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (276μs)
Illuminate\Cache\Events\CacheHit (305μs)
creating: site.layouts.app (565μs)
composing: site.layouts.app (25μs)
creating: components.canonical (545μs)
composing: components.canonical (117μs)
creating: components.open-graph (219μs)
composing: components.open-graph (85μs)
creating: site.headers.header (369μs)
composing: site.headers.header (138μs)
Illuminate\Cache\Events\CacheHit (1.8ms)
creating: components.footer (140μs)
composing: components.footer (100μs)
Illuminate\Cache\Events\CacheHit (868μs)
Illuminate\Cache\Events\CacheHit (271μs)
Illuminate\Cache\Events\CacheHit (244μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (225μs)
Illuminate\Cache\Events\CacheHit (320μs)
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Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (178μs)
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creating: components.forms.get-started (177μs)
composing: components.forms.get-started (90μs)
creating: components.forms.free-tool-download (138μs)
composing: components.forms.free-tool-download (77μs)
creating: components.forms.claim-free-worksheet (127μs)
composing: components.forms.claim-free-worksheet (75μs)
creating: components.forms.tutor-subscription-waitlist (214μs)
composing: components.forms.tutor-subscription-waitlist (78μs)
creating: components.forms.tutor-subscription-join (259μs)
composing: components.forms.tutor-subscription-join (77μs)
creating: components.forms.tutor-support (128μs)
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321 x Illuminate\Cache\Events\CacheHit (19.74%)	97.47ms
10 x Illuminate\Database\Events\StatementPrepared (6.85%)	33.84ms
10 x Illuminate\Database\Events\QueryExecuted (3.43%)	16.95ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.53%)	2.64ms
1 x eloquent.booting: App\Models\SubjectCat (0.28%)	1.39ms
1 x Illuminate\Routing\Events\Routing (0.27%)	1.33ms
1 x Illuminate\Cache\Events\KeyWritten (0.2%)	968μs
1 x eloquent.booted: App\Models\Subject (0.2%)	965μs
1 x Illuminate\Database\Events\ConnectionEstablished (0.17%)	855μs
2 x eloquent.retrieved: App\Models\Subject (0.12%)	617μs
1 x creating: site.layouts.app (0.11%)	565μs
1 x creating: components.breadcrumbs (0.11%)	558μs
1 x creating: components.canonical (0.11%)	545μs
1 x creating: homework.show (0.1%)	513μs
1 x Illuminate\Routing\Events\RouteMatched (0.1%)	471μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.09%)	461μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.09%)	455μs
1 x creating: site.headers.header (0.07%)	369μs
6 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.06%)	284μs
1 x creating: components.forms.contact-us (0.06%)	282μs
1 x creating: components.forms.tutor-subscription-join (0.05%)	259μs
1 x composing: components.breadcrumbs (0.05%)	258μs
2 x eloquent.retrieved: App\Models\SubjectCat (0.05%)	223μs
1 x creating: components.open-graph (0.04%)	219μs
1 x creating: components.forms.tutor-subscription-waitlist (0.04%)	214μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	196μs
1 x Illuminate\Cache\Events\CacheMissed (0.04%)	188μs
1 x composing: components.forms.contact-us (0.04%)	188μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	185μs
1 x creating: components.forms.get-started (0.04%)	177μs
1 x composing: homework.show (0.03%)	161μs
1 x creating: components.footer (0.03%)	140μs
1 x composing: site.headers.header (0.03%)	138μs
1 x creating: components.forms.free-tool-download (0.03%)	138μs
1 x creating: components.forms.tutor-support (0.03%)	128μs
1 x creating: components.forms.claim-free-worksheet (0.03%)	127μs
1 x eloquent.booting: App\Models\Subject (0.03%)	124μs
1 x composing: components.canonical (0.02%)	117μs
1 x composing: components.footer (0.02%)	100μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)	97μs
1 x composing: components.forms.get-started (0.02%)	90μs
1 x composing: components.open-graph (0.02%)	85μs
1 x composing: components.forms.tutor-subscription-waitlist (0.02%)	78μs
1 x composing: components.forms.free-tool-download (0.02%)	77μs
1 x composing: components.forms.tutor-subscription-join (0.02%)	77μs
1 x composing: components.forms.claim-free-worksheet (0.02%)	75μs
1 x composing: components.forms.tutor-support (0.02%)	75μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	63μs
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
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1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
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uri: GET college-homework-library/{category}/{subject}/{id}
middleware: web, utm.parameters
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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 duplicated32.16ms

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` = '12846' limit 1

13.74mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 12846
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 (121)

2.62mstwenty4_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 (12846)

4.72mstwenty4_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

1.09mstwenty4_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` <> 12846 and `subject` = 121 and `status` = 'published' and `price` > 0 order by RAND() limit 6

4.69mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 12846 1: 121 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 (121)

1.07mstwenty4_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` = 12846 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.12mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 12846 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` = 12846 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.01mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 12846 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` = 12846 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.05mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 12846 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

1.05mstwenty4_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: 6HomeworkLibraryFile.php
App\Models\Subject: 2Subject.php
App\Models\SubjectCat: 2SubjectCat.php

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Question 1. Recall that (X,T) is a T₄ topological space if and onl...

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