Answered: Find the infinite sum of xᶯ/( n * (n+1)... |24HA

Messages Timeline Exceptions Events423 Views14 Route Queries16 Models22 Livewire0 Mails Gate Session Request

8.1.0533ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (338ms)time
Application (195ms)time
1 x Booting (63.45%)
338ms
1 x Application (36.55%)
195ms

Illuminate\Routing\Events\Routing (1.57ms)
Illuminate\Routing\Events\RouteMatched (622μs)
Illuminate\Foundation\Events\LocaleUpdated (5.02ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (338μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (265μs)
Illuminate\Database\Events\ConnectionEstablished (1.26ms)
Illuminate\Database\Events\StatementPrepared (17.4ms)
Illuminate\Database\Events\QueryExecuted (1.39ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (144μs)
eloquent.booting: App\Models\Subject (132μs)
eloquent.booted: App\Models\Subject (61μs)
Illuminate\Database\Events\StatementPrepared (3.27ms)
Illuminate\Database\Events\QueryExecuted (982μs)
eloquent.retrieved: App\Models\Subject (141μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (154μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (60μs)
Illuminate\Database\Events\StatementPrepared (670μs)
Illuminate\Database\Events\QueryExecuted (2.21ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (99μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (19μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (12μs)
eloquent.booting: App\Models\SubjectCat (331μs)
eloquent.booted: App\Models\SubjectCat (59μs)
Illuminate\Database\Events\StatementPrepared (869μs)
Illuminate\Database\Events\QueryExecuted (1.07ms)
eloquent.retrieved: App\Models\SubjectCat (180μs)
Illuminate\Cache\Events\CacheHit (19.9ms)
Illuminate\Cache\Events\CacheMissed (371μs)
Illuminate\Database\Events\StatementPrepared (1ms)
Illuminate\Database\Events\QueryExecuted (17.03ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (176μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (18μs)
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 (1.09ms)
Illuminate\Database\Events\QueryExecuted (1.04ms)
eloquent.retrieved: App\Models\Subject (139μs)
Illuminate\Cache\Events\KeyWritten (994μs)
Illuminate\Database\Events\StatementPrepared (1.53ms)
Illuminate\Database\Events\QueryExecuted (1.22ms)
Illuminate\Database\Events\StatementPrepared (771μs)
Illuminate\Database\Events\QueryExecuted (964μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (44μs)
Illuminate\Database\Events\StatementPrepared (1.07ms)
Illuminate\Database\Events\QueryExecuted (1.17ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (104μs)
Illuminate\Cache\Events\CacheHit (819μs)
creating: homework.show (463μs)
composing: homework.show (111μs)
creating: components.breadcrumbs (302μs)
composing: components.breadcrumbs (135μs)
Illuminate\Database\Events\StatementPrepared (1.35ms)
Illuminate\Database\Events\QueryExecuted (1.16ms)
eloquent.retrieved: App\Models\SubjectCat (83μs)
Illuminate\Cache\Events\CacheHit (3.43ms)
Illuminate\Cache\Events\CacheHit (255μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (441μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (407μs)
Illuminate\Cache\Events\CacheHit (256μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (149μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (272μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (150μs)
Illuminate\Cache\Events\CacheHit (176μs)
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Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (96μs)
Illuminate\Cache\Events\CacheHit (290μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (133μs)
Illuminate\Cache\Events\CacheHit (245μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (241μs)
Illuminate\Cache\Events\CacheHit (222μs)
Illuminate\Cache\Events\CacheHit (187μs)
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Illuminate\Cache\Events\CacheHit (582μs)
Illuminate\Cache\Events\CacheHit (463μs)
Illuminate\Cache\Events\CacheHit (369μs)
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Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (212μs)
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Illuminate\Cache\Events\CacheHit (181μs)
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Illuminate\Cache\Events\CacheHit (318μs)
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Illuminate\Cache\Events\CacheHit (422μs)
Illuminate\Cache\Events\CacheHit (249μs)
Illuminate\Cache\Events\CacheHit (250μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (281μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (241μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (358μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (265μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheMissed (133μs)
Illuminate\Database\Events\StatementPrepared (557μs)
Illuminate\Database\Events\QueryExecuted (774μs)
eloquent.retrieved: App\Models\SubjectCat (134μs)
Illuminate\Cache\Events\KeyWritten (556μs)
Illuminate\Cache\Events\CacheHit (1.18ms)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (233μs)
Illuminate\Cache\Events\CacheHit (274μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheMissed (2.68ms)
Illuminate\Database\Events\StatementPrepared (772μs)
Illuminate\Database\Events\QueryExecuted (1.38ms)
eloquent.retrieved: App\Models\SubjectCat (89μs)
Illuminate\Cache\Events\KeyWritten (411μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (248μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (232μs)
Illuminate\Cache\Events\CacheHit (255μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (870μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (231μs)
Illuminate\Cache\Events\CacheHit (391μs)
Illuminate\Cache\Events\CacheHit (233μs)
Illuminate\Cache\Events\CacheHit (169μs)
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Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheMissed (187μs)
Illuminate\Database\Events\StatementPrepared (744μs)
Illuminate\Database\Events\QueryExecuted (863μs)
eloquent.retrieved: App\Models\SubjectCat (82μs)
Illuminate\Cache\Events\KeyWritten (391μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (224μs)
Illuminate\Cache\Events\CacheHit (161μs)
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Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (303μs)
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Illuminate\Cache\Events\CacheHit (226μs)
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Illuminate\Cache\Events\CacheHit (661μs)
Illuminate\Cache\Events\CacheHit (248μs)
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Illuminate\Cache\Events\CacheHit (442μs)
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Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (265μs)
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Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (160μs)
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Illuminate\Cache\Events\CacheMissed (258μs)
Illuminate\Database\Events\StatementPrepared (655μs)
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eloquent.retrieved: App\Models\SubjectCat (79μs)
Illuminate\Cache\Events\KeyWritten (804μs)
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Illuminate\Cache\Events\CacheHit (110μs)
creating: components.forms.contact-us (168μs)
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315 x Illuminate\Cache\Events\CacheHit (18.28%)	97.48ms
16 x Illuminate\Database\Events\QueryExecuted (6.48%)	34.56ms
16 x Illuminate\Database\Events\StatementPrepared (6.22%)	33.18ms
7 x Illuminate\Cache\Events\KeyWritten (1.04%)	5.56ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.94%)	5.02ms
7 x Illuminate\Cache\Events\CacheMissed (0.79%)	4.22ms
1 x Illuminate\Routing\Events\Routing (0.29%)	1.57ms
1 x Illuminate\Database\Events\ConnectionEstablished (0.24%)	1.26ms
8 x eloquent.retrieved: App\Models\SubjectCat (0.15%)	797μs
1 x Illuminate\Routing\Events\RouteMatched (0.12%)	622μs
1 x creating: site.layouts.app (0.11%)	611μs
1 x creating: homework.show (0.09%)	463μs
1 x creating: components.canonical (0.08%)	415μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.07%)	366μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.06%)	338μs
1 x eloquent.booting: App\Models\SubjectCat (0.06%)	331μs
1 x creating: components.breadcrumbs (0.06%)	302μs
2 x eloquent.retrieved: App\Models\Subject (0.05%)	280μs
5 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.05%)	278μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)	265μs
1 x creating: components.forms.get-started (0.04%)	221μs
1 x creating: site.headers.header (0.04%)	220μs
1 x creating: components.forms.contact-us (0.03%)	168μs
1 x creating: components.footer (0.03%)	162μs
1 x creating: components.open-graph (0.03%)	155μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)	154μs
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1 x eloquent.booting: App\Models\Subject (0.02%)	132μs
1 x composing: components.footer (0.02%)	113μs
1 x composing: homework.show (0.02%)	111μs
1 x composing: components.forms.contact-us (0.02%)	109μs
1 x creating: components.forms.tutor-subscription-waitlist (0.02%)	98μs
1 x composing: components.canonical (0.02%)	84μs
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1 x composing: site.headers.header (0.01%)	66μs
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1 x eloquent.booted: App\Models\Subject (0.01%)	61μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)	60μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	59μs
1 x composing: components.forms.get-started (0.01%)	54μs
1 x composing: components.forms.free-tool-download (0.01%)	42μs
1 x composing: components.forms.tutor-support (0.01%)	39μs
1 x composing: components.forms.tutor-subscription-waitlist (0.01%)	38μs
1 x composing: components.forms.claim-free-worksheet (0.01%)	38μs
1 x composing: components.forms.tutor-subscription-join (0.01%)	37μs
1 x composing: site.layouts.app (0%)	24μs

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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

16 statements were executed, 4 of which were duplicates, 12 unique. Show only duplicated51.39ms

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` = '44201' limit 1

17.74mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 44201
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 (6)

1.14mstwenty4_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 (44201)

2.22mstwenty4_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

1.18mstwenty4_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` <> 44201 and `subject` = 6 and `status` = 'published' and `price` > 0 order by RAND() limit 6

17.09mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 44201 1: 6 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 (6)

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` = 44201 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.3mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 44201 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` = 44201 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.04mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 44201 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` = 44201 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.04mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 44201 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

1.23mstwenty4_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` = 33 limit 1

890μstwenty4_siteSubject.php#100

Bindings	0: 33
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

select * from `subject_cats` where `subject_cats`.`id` = 11 limit 1

1.19mstwenty4_siteSubject.php#100

Bindings	0: 11
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

select * from `subject_cats` where `subject_cats`.`id` = 5 limit 1

1.08mstwenty4_siteSubject.php#100

Bindings	0: 5
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

select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1

1.15mstwenty4_siteSubject.php#100

Bindings	0: 34
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

select * from `subject_cats` where `subject_cats`.`id` = 31 limit 1

900μstwenty4_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

select * from `subject_cats` where `subject_cats`.`id` = 36 limit 1

1.19mstwenty4_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
App\Models\HomeworkLibrary\HomeworkLibraryFile: 5HomeworkLibraryFile.php
App\Models\Subject: 2Subject.php

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Find the infinite sum of xᶯ/( n * (n+1))

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