Answered: 1. For solutions to the heat equation ut ... |24HA

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8.1.0425ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (279ms)time
Application (146ms)time
1 x Booting (65.67%)
279ms
1 x Application (34.33%)
146ms

Illuminate\Routing\Events\Routing (1.35ms)
Illuminate\Routing\Events\RouteMatched (531μs)
Illuminate\Foundation\Events\LocaleUpdated (7.76ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (244μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (211μs)
Illuminate\Database\Events\ConnectionEstablished (1.18ms)
Illuminate\Database\Events\StatementPrepared (9.48ms)
Illuminate\Database\Events\QueryExecuted (1.12ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (90μs)
eloquent.booting: App\Models\Subject (54μs)
eloquent.booted: App\Models\Subject (38μs)
Illuminate\Database\Events\StatementPrepared (1.56ms)
Illuminate\Database\Events\QueryExecuted (1.05ms)
eloquent.retrieved: App\Models\Subject (113μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (123μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (42μs)
Illuminate\Database\Events\StatementPrepared (760μs)
Illuminate\Database\Events\QueryExecuted (1.16ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (81μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (14μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
eloquent.booting: App\Models\SubjectCat (375μs)
eloquent.booted: App\Models\SubjectCat (44μs)
Illuminate\Database\Events\StatementPrepared (660μs)
Illuminate\Database\Events\QueryExecuted (1.05ms)
eloquent.retrieved: App\Models\SubjectCat (82μs)
Illuminate\Cache\Events\CacheHit (12.2ms)
Illuminate\Cache\Events\CacheMissed (168μs)
Illuminate\Database\Events\StatementPrepared (856μs)
Illuminate\Database\Events\QueryExecuted (8.34ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (82μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (16μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
Illuminate\Database\Events\StatementPrepared (855μs)
Illuminate\Database\Events\QueryExecuted (1.12ms)
eloquent.retrieved: App\Models\Subject (108μs)
Illuminate\Cache\Events\KeyWritten (865μs)
Illuminate\Database\Events\StatementPrepared (1.53ms)
Illuminate\Database\Events\QueryExecuted (1.61ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (56μs)
Illuminate\Database\Events\StatementPrepared (1.03ms)
Illuminate\Database\Events\QueryExecuted (1.22ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (45μs)
Illuminate\Database\Events\StatementPrepared (710μs)
Illuminate\Database\Events\QueryExecuted (1.18ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (44μs)
Illuminate\Cache\Events\CacheHit (572μs)
creating: homework.show (298μs)
composing: homework.show (131μs)
creating: components.breadcrumbs (289μs)
composing: components.breadcrumbs (132μs)
Illuminate\Database\Events\StatementPrepared (1.29ms)
Illuminate\Database\Events\QueryExecuted (1.38ms)
eloquent.retrieved: App\Models\SubjectCat (84μs)
Illuminate\Cache\Events\CacheHit (4.07ms)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (174μs)
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Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (227μs)
Illuminate\Cache\Events\CacheHit (263μs)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (228μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (223μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (232μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (170μs)
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Illuminate\Cache\Events\CacheHit (193μs)
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Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (173μs)
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Illuminate\Cache\Events\CacheHit (171μs)
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Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (191μs)
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Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (261μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (244μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (228μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (243μs)
Illuminate\Cache\Events\CacheHit (173μs)
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Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (215μs)
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Illuminate\Cache\Events\CacheHit (168μs)
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321 x Illuminate\Cache\Events\CacheHit (19.67%)	83.52ms
10 x Illuminate\Database\Events\QueryExecuted (4.53%)	19.24ms
10 x Illuminate\Database\Events\StatementPrepared (4.41%)	18.74ms
1 x Illuminate\Foundation\Events\LocaleUpdated (1.83%)	7.76ms
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1 x Illuminate\Database\Events\ConnectionEstablished (0.28%)	1.18ms
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1 x creating: components.forms.contact-us (0.07%)	302μs
1 x creating: homework.show (0.07%)	298μs
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1 x Illuminate\Cache\Events\CacheMissed (0.04%)	168μs
2 x eloquent.retrieved: App\Models\SubjectCat (0.04%)	166μs
1 x creating: components.forms.tutor-subscription-join (0.04%)	162μs
1 x creating: components.forms.free-tool-download (0.03%)	138μs
1 x creating: components.forms.claim-free-worksheet (0.03%)	134μs
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1 x composing: homework.show (0.03%)	131μs
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1 x composing: components.footer (0.03%)	108μs
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1 x composing: components.forms.get-started (0.02%)	78μs
1 x composing: components.forms.tutor-support (0.02%)	74μs
1 x composing: components.forms.tutor-subscription-join (0.02%)	73μs
1 x composing: components.forms.claim-free-worksheet (0.02%)	70μs
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1 x composing: components.forms.tutor-subscription-waitlist (0.02%)	68μs
1 x eloquent.booting: App\Models\Subject (0.01%)	54μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	44μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)	42μs
1 x eloquent.booted: App\Models\Subject (0.01%)	38μs
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14 templates were rendered

1x homework.showshow.blade.phpblade
1x components.breadcrumbsbreadcrumbs.blade.phpblade
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1x components.canonicalcanonical.blade.phpblade
1x components.open-graphopen-graph.blade.phpblade
1x site.headers.headerheader.blade.phpblade
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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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file: app/Http/Controllers/HomeworkLibraryController.php:79-176

10 statements were executed, 4 of which were duplicates, 6 unique. Show only duplicated28.9ms

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` = '12768' limit 1

9.81mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 12768
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 (10)

1.05mstwenty4_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 (12768)

1.41mstwenty4_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

1.16mstwenty4_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` <> 12768 and `subject` = 10 and `status` = 'published' and `price` > 0 order by RAND() limit 6

8.5mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 12768 1: 10 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 (10)

1.17mstwenty4_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` = 12768 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.54mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 12768 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` = 12768 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.44mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 12768 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` = 12768 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.25mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 12768 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

1.57mstwenty4_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

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

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1. For solutions to the heat equation ut = νuxx derive the followin...

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