Answered: 3.) Using first kinetic theory and then C... |24HA

Messages Timeline Exceptions Events403 Views14 Route Queries10 Models20 Livewire0 Mails Gate Session Request

8.1.0412ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (268ms)time
Application (145ms)time
1 x Booting (64.87%)
268ms
1 x Application (35.13%)
145ms

Illuminate\Routing\Events\Routing (1.41ms)
Illuminate\Routing\Events\RouteMatched (547μs)
Illuminate\Foundation\Events\LocaleUpdated (4.9ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (268μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (315μs)
Illuminate\Database\Events\ConnectionEstablished (1.04ms)
Illuminate\Database\Events\StatementPrepared (11.14ms)
Illuminate\Database\Events\QueryExecuted (1.43ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (146μs)
eloquent.booting: App\Models\Subject (188μs)
eloquent.booted: App\Models\Subject (65μs)
Illuminate\Database\Events\StatementPrepared (2.2ms)
Illuminate\Database\Events\QueryExecuted (1.21ms)
eloquent.retrieved: App\Models\Subject (125μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (90μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (39μs)
Illuminate\Database\Events\StatementPrepared (640μs)
Illuminate\Database\Events\QueryExecuted (1.18ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (437μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (25μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (10μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
eloquent.booting: App\Models\SubjectCat (282μs)
eloquent.booted: App\Models\SubjectCat (42μs)
Illuminate\Database\Events\StatementPrepared (685μs)
Illuminate\Database\Events\QueryExecuted (1.22ms)
eloquent.retrieved: App\Models\SubjectCat (132μs)
Illuminate\Cache\Events\CacheHit (15.63ms)
Illuminate\Cache\Events\CacheMissed (224μs)
Illuminate\Database\Events\StatementPrepared (1.01ms)
Illuminate\Database\Events\QueryExecuted (2.36ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (112μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (23μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
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 (868μs)
Illuminate\Database\Events\QueryExecuted (966μs)
eloquent.retrieved: App\Models\Subject (101μs)
Illuminate\Cache\Events\KeyWritten (1.91ms)
Illuminate\Database\Events\StatementPrepared (1.36ms)
Illuminate\Database\Events\QueryExecuted (1.9ms)
Illuminate\Database\Events\StatementPrepared (890μs)
Illuminate\Database\Events\QueryExecuted (1.36ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (83μs)
Illuminate\Database\Events\StatementPrepared (2.34ms)
Illuminate\Database\Events\QueryExecuted (945μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (49μs)
Illuminate\Cache\Events\CacheHit (468μs)
creating: homework.show (285μs)
composing: homework.show (125μs)
creating: components.breadcrumbs (290μs)
composing: components.breadcrumbs (287μs)
Illuminate\Database\Events\StatementPrepared (1.37ms)
Illuminate\Database\Events\QueryExecuted (1.38ms)
eloquent.retrieved: App\Models\SubjectCat (112μs)
Illuminate\Cache\Events\CacheHit (4.29ms)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (311μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (150μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (301μs)
Illuminate\Cache\Events\CacheHit (231μs)
Illuminate\Cache\Events\CacheHit (232μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (226μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (249μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (235μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (222μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (276μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (230μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (231μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (252μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (230μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (268μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (223μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (225μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (931μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (290μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (245μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (234μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (231μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (224μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (252μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (144μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (143μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (238μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (954μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (269μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (241μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (289μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (230μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (230μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (289μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (210μs)
creating: site.layouts.app (508μs)
composing: site.layouts.app (25μs)
creating: components.canonical (480μs)
composing: components.canonical (107μs)
creating: components.open-graph (214μs)
composing: components.open-graph (78μs)
creating: site.headers.header (390μs)
composing: site.headers.header (110μs)
Illuminate\Cache\Events\CacheHit (2.13ms)
creating: components.footer (82μs)
composing: components.footer (88μs)
Illuminate\Cache\Events\CacheHit (893μs)
Illuminate\Cache\Events\CacheHit (323μs)
Illuminate\Cache\Events\CacheHit (274μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (314μs)
Illuminate\Cache\Events\CacheHit (346μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (236μs)
Illuminate\Cache\Events\CacheHit (214μs)
creating: components.forms.contact-us (307μs)
composing: components.forms.contact-us (176μs)
creating: components.forms.get-started (185μs)
composing: components.forms.get-started (77μs)
creating: components.forms.free-tool-download (148μs)
composing: components.forms.free-tool-download (64μs)
creating: components.forms.claim-free-worksheet (124μs)
composing: components.forms.claim-free-worksheet (66μs)
creating: components.forms.tutor-subscription-waitlist (127μs)
composing: components.forms.tutor-subscription-waitlist (66μs)
creating: components.forms.tutor-subscription-join (125μs)
composing: components.forms.tutor-subscription-join (65μs)
creating: components.forms.tutor-support (139μs)
composing: components.forms.tutor-support (70μs)

321 x Illuminate\Cache\Events\CacheHit (20.68%)	85.29ms
10 x Illuminate\Database\Events\StatementPrepared (5.45%)	22.50ms
10 x Illuminate\Database\Events\QueryExecuted (3.38%)	13.95ms
1 x Illuminate\Foundation\Events\LocaleUpdated (1.19%)	4.90ms
1 x Illuminate\Cache\Events\KeyWritten (0.46%)	1.91ms
1 x Illuminate\Routing\Events\Routing (0.34%)	1.41ms
1 x Illuminate\Database\Events\ConnectionEstablished (0.25%)	1.04ms
9 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.15%)	631μs
1 x Illuminate\Routing\Events\RouteMatched (0.13%)	547μs
1 x creating: site.layouts.app (0.12%)	508μs
1 x creating: components.canonical (0.12%)	480μs
1 x creating: site.headers.header (0.09%)	390μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.08%)	330μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.08%)	315μs
1 x creating: components.forms.contact-us (0.07%)	307μs
1 x creating: components.breadcrumbs (0.07%)	290μs
1 x composing: components.breadcrumbs (0.07%)	287μs
1 x creating: homework.show (0.07%)	285μs
1 x eloquent.booting: App\Models\SubjectCat (0.07%)	282μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.06%)	268μs
2 x eloquent.retrieved: App\Models\SubjectCat (0.06%)	244μs
2 x eloquent.retrieved: App\Models\Subject (0.05%)	226μs
1 x Illuminate\Cache\Events\CacheMissed (0.05%)	224μs
1 x creating: components.open-graph (0.05%)	214μs
1 x eloquent.booting: App\Models\Subject (0.05%)	188μs
1 x creating: components.forms.get-started (0.04%)	185μs
1 x composing: components.forms.contact-us (0.04%)	176μs
1 x creating: components.forms.free-tool-download (0.04%)	148μs
1 x creating: components.forms.tutor-support (0.03%)	139μs
1 x creating: components.forms.tutor-subscription-waitlist (0.03%)	127μs
1 x composing: homework.show (0.03%)	125μs
1 x creating: components.forms.tutor-subscription-join (0.03%)	125μs
1 x creating: components.forms.claim-free-worksheet (0.03%)	124μs
1 x composing: site.headers.header (0.03%)	110μs
1 x composing: components.canonical (0.03%)	107μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)	90μs
1 x composing: components.footer (0.02%)	88μs
1 x creating: components.footer (0.02%)	82μs
1 x composing: components.open-graph (0.02%)	78μs
1 x composing: components.forms.get-started (0.02%)	77μs
1 x composing: components.forms.tutor-support (0.02%)	70μs
1 x composing: components.forms.claim-free-worksheet (0.02%)	66μs
1 x composing: components.forms.tutor-subscription-waitlist (0.02%)	66μs
1 x eloquent.booted: App\Models\Subject (0.02%)	65μs
1 x composing: components.forms.tutor-subscription-join (0.02%)	65μs
1 x composing: components.forms.free-tool-download (0.02%)	64μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	42μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)	39μs
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 duplicated24.39ms

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` = '9022' limit 1

11.62mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 9022
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 (277)

1.19mstwenty4_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 (9022)

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` = 10 limit 1

1.19mstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 10
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` <> 9022 and `subject` = 277 and `status` = 'published' and `price` > 0 order by RAND() limit 6

2.48mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 9022 1: 277 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 (277)

1.11mstwenty4_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` = 9022 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.64mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 9022 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` = 9022 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.36mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 9022 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` = 9022 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.27mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 9022 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` = 10 limit 1

1.38mstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 10
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: 9HomeworkLibraryFile.php
App\Models\HomeworkLibrary\HomeworkLibrary: 7HomeworkLibrary.php
App\Models\Subject: 2Subject.php
App\Models\SubjectCat: 2SubjectCat.php

_token: toq1lPcXhJKcpvK9pXpLpAHDyqeFPN21D8VNGP21
utm_source: direct
redirectUrl: /college-homework-library/Engineering/Transport-Phenomena/9022
_previous: array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Engineering/Tra...
_flash: array:2 [ "old" => [] "new" => [] ]
PHPDEBUGBAR_STACK_DATA: []

path_info

/college-homework-library/Engineering/Transport-Phenomena/9022

status_code

status_text

format

html

content_type

text/html; charset=UTF-8

request_query

[]

request_request

[]

request_headers

  0 of 0   
array:21 [▼
  "priority" => array:1 [▶
    0 => "u=0, i"
  ]
  "accept-encoding" => array:1 [▶
    0 => "gzip, deflate, br, zstd"
  ]
  "sec-fetch-dest" => array:1 [▶
    0 => "document"
  ]
  "sec-fetch-user" => array:1 [▶
    0 => "?1"
  ]
  "sec-fetch-mode" => array:1 [▶
    0 => "navigate"
  ]
  "sec-fetch-site" => array:1 [▶
    0 => "none"
  ]
  "accept" => array:1 [▶
    0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7"
  ]
  "user-agent" => array:1 [▶
    0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
  ]
  "upgrade-insecure-requests" => array:1 [▶
    0 => "1"
  ]
  "sec-ch-ua-platform" => array:1 [▶
    0 => ""Windows""
  ]
  "sec-ch-ua-mobile" => array:1 [▶
    0 => "?0"
  ]
  "sec-ch-ua" => array:1 [▶
    0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129""
  ]
  "cache-control" => array:1 [▶
    0 => "no-cache"
  ]
  "pragma" => array:1 [▶
    0 => "no-cache"
  ]
  "x-amzn-trace-id" => array:1 [▶
    0 => "Root=1-680b30c3-6ddfef983afbc66931ce01cf"
  ]
  "host" => array:1 [▶
    0 => "staging.dev.24houranswers.com"
  ]
  "x-forwarded-port" => array:1 [▶
    0 => "443"
  ]
  "x-forwarded-proto" => array:1 [▶
    0 => "https"
  ]
  "x-forwarded-for" => array:1 [▶
    0 => "18.219.255.84"
  ]
  "content-length" => array:1 [▶
    0 => ""
  ]
  "content-type" => array:1 [▶
    0 => ""
  ]
]

request_cookies

[]

response_headers

  0 of 0   
array:5 [▼
  "content-type" => array:1 [▶
    0 => "text/html; charset=UTF-8"
  ]
  "cache-control" => array:1 [▶
    0 => "no-cache, private"
  ]
  "date" => array:1 [▶
    0 => "Fri, 25 Apr 2025 06:50:44 GMT"
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6IkZuMTY5aVZzVXIxNlBvQm9xZURzR3c9PSIsInZhbHVlIjoiMFg1SzZyMEppTUVDZEJreXZIakFqd29mYWE1ODAzZkRnYi9vNU9qcDN5aWp6WHpSRW1OaGhmdTdsL1IrVUpnTE1IU2ZRVHVQam53SFoxeEJEM3EyRCtxUFFvL2pUWmN5aGU2clgrOW9nWGdZK0ozRUw1ZUVGQk1WSW8vTnhqbmsiLCJtYWMiOiI3M2QxZTViNTM2NWJmMWQxZjM1Yjc4ZDhiY2U3OTI1MjViN2Q2ZTdhYTZkYmM4ZTZlODM2NTcwMGYxMmVhYjExIiwidGFnIjoiIn0%3D; expires=Fri, 25 Apr 2025 08:50:44 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=lax ◀XSRF-TOKEN=eyJpdiI6IkZuMTY5aVZzVXIxNlBvQm9xZURzR3c9PSIsInZhbHVlIjoiMFg1SzZyMEppTUVDZEJreXZIakFqd29mYWE1ODAzZkRnYi9vNU9qcDN5aWp6WHpSRW1OaGhmdTdsL1IrVUpnTE1IU2ZRV ▶"
    1 => "24houranswers_session=eyJpdiI6InVVNkhiRTFXem1NVDVNMXRiRURickE9PSIsInZhbHVlIjoidVNLN1BDNmw1THRTUXVPM3JtMmNDL0VHRDkxbGZHSnpPaFd3R1Y3bXhxdWhySi9Lb2svdW05TCttazBJRGs2ei9ESWovUlAzMCtRaCtMMGo0bE5hOHplUGdML25UOGttZDBObEFSdTF0WnVmUWVlWXFsNitzUURZTjE2MU95SkUiLCJtYWMiOiI1Njk1OGQwNzNkZjM4MTZmNDMxZTlhN2Q5ZGFiOGZmMmRlNThkMDcwYjQ4Zjk3OGYwODY4MjYwYmJhNWEwNzAyIiwidGFnIjoiIn0%3D; expires=Fri, 25 Apr 2025 08:50:44 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax ◀24houranswers_session=eyJpdiI6InVVNkhiRTFXem1NVDVNMXRiRURickE9PSIsInZhbHVlIjoidVNLN1BDNmw1THRTUXVPM3JtMmNDL0VHRDkxbGZHSnpPaFd3R1Y3bXhxdWhySi9Lb2svdW05TCttazBJRG ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6IkZuMTY5aVZzVXIxNlBvQm9xZURzR3c9PSIsInZhbHVlIjoiMFg1SzZyMEppTUVDZEJreXZIakFqd29mYWE1ODAzZkRnYi9vNU9qcDN5aWp6WHpSRW1OaGhmdTdsL1IrVUpnTE1IU2ZRVHVQam53SFoxeEJEM3EyRCtxUFFvL2pUWmN5aGU2clgrOW9nWGdZK0ozRUw1ZUVGQk1WSW8vTnhqbmsiLCJtYWMiOiI3M2QxZTViNTM2NWJmMWQxZjM1Yjc4ZDhiY2U3OTI1MjViN2Q2ZTdhYTZkYmM4ZTZlODM2NTcwMGYxMmVhYjExIiwidGFnIjoiIn0%3D; expires=Fri, 25-Apr-2025 08:50:44 GMT; domain=.24houranswers.com; path=/ ◀XSRF-TOKEN=eyJpdiI6IkZuMTY5aVZzVXIxNlBvQm9xZURzR3c9PSIsInZhbHVlIjoiMFg1SzZyMEppTUVDZEJreXZIakFqd29mYWE1ODAzZkRnYi9vNU9qcDN5aWp6WHpSRW1OaGhmdTdsL1IrVUpnTE1IU2ZRV ▶"
    1 => "24houranswers_session=eyJpdiI6InVVNkhiRTFXem1NVDVNMXRiRURickE9PSIsInZhbHVlIjoidVNLN1BDNmw1THRTUXVPM3JtMmNDL0VHRDkxbGZHSnpPaFd3R1Y3bXhxdWhySi9Lb2svdW05TCttazBJRGs2ei9ESWovUlAzMCtRaCtMMGo0bE5hOHplUGdML25UOGttZDBObEFSdTF0WnVmUWVlWXFsNitzUURZTjE2MU95SkUiLCJtYWMiOiI1Njk1OGQwNzNkZjM4MTZmNDMxZTlhN2Q5ZGFiOGZmMmRlNThkMDcwYjQ4Zjk3OGYwODY4MjYwYmJhNWEwNzAyIiwidGFnIjoiIn0%3D; expires=Fri, 25-Apr-2025 08:50:44 GMT; domain=.24houranswers.com; path=/; httponly ◀24houranswers_session=eyJpdiI6InVVNkhiRTFXem1NVDVNMXRiRURickE9PSIsInZhbHVlIjoidVNLN1BDNmw1THRTUXVPM3JtMmNDL0VHRDkxbGZHSnpPaFd3R1Y3bXhxdWhySi9Lb2svdW05TCttazBJRG ▶"
  ]
]

session_attributes

  0 of 0   
array:6 [▼
  "_token" => "toq1lPcXhJKcpvK9pXpLpAHDyqeFPN21D8VNGP21"
  "utm_source" => "direct"
  "redirectUrl" => "/college-homework-library/Engineering/Transport-Phenomena/9022"
  "_previous" => array:1 [▶
    "url" => "https://staging.dev.24houranswers.com/college-homework-library/Engineering/Transport-Phenomena/9022"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]

3.) Using first kinetic theory and then Chapman-Enskog theory, calc...

Similar Homework Solutions

1 x Booting (64.87%)	268ms
1 x Application (35.13%)	145ms