Answered: Let g(x) = 2x(4-x) + -3(4-x)+

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

8.1.0369ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (226ms)time
Application (143ms)time
1 x Booting (61.24%)
226ms
1 x Application (38.76%)
143ms

Illuminate\Routing\Events\Routing (914μs)
Illuminate\Routing\Events\RouteMatched (411μs)
Illuminate\Foundation\Events\LocaleUpdated (2.42ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (188μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (146μs)
Illuminate\Database\Events\ConnectionEstablished (754μs)
Illuminate\Database\Events\StatementPrepared (4.41ms)
Illuminate\Database\Events\QueryExecuted (4.43ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (136μs)
eloquent.booting: App\Models\Subject (69μs)
eloquent.booted: App\Models\Subject (43μs)
Illuminate\Database\Events\StatementPrepared (2.34ms)
Illuminate\Database\Events\QueryExecuted (1.28ms)
eloquent.retrieved: App\Models\Subject (118μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (110μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (43μs)
Illuminate\Database\Events\StatementPrepared (666μs)
Illuminate\Database\Events\QueryExecuted (1.01ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (93μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (15μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.booting: App\Models\SubjectCat (300μs)
eloquent.booted: App\Models\SubjectCat (50μs)
Illuminate\Database\Events\StatementPrepared (831μs)
Illuminate\Database\Events\QueryExecuted (830μs)
eloquent.retrieved: App\Models\SubjectCat (96μs)
Illuminate\Cache\Events\CacheHit (12.2ms)
Illuminate\Cache\Events\CacheMissed (216μs)
Illuminate\Database\Events\StatementPrepared (714μs)
Illuminate\Database\Events\QueryExecuted (18.71ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (106μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (23μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (14μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
Illuminate\Database\Events\StatementPrepared (1.39ms)
Illuminate\Database\Events\QueryExecuted (1.05ms)
eloquent.retrieved: App\Models\Subject (119μs)
Illuminate\Cache\Events\KeyWritten (1.05ms)
Illuminate\Database\Events\StatementPrepared (1.74ms)
Illuminate\Database\Events\QueryExecuted (1.43ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (75μs)
Illuminate\Database\Events\StatementPrepared (1.09ms)
Illuminate\Database\Events\QueryExecuted (1.35ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (64μs)
Illuminate\Database\Events\StatementPrepared (793μs)
Illuminate\Database\Events\QueryExecuted (1.1ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (59μs)
Illuminate\Cache\Events\CacheHit (418μs)
creating: homework.show (249μs)
composing: homework.show (83μs)
creating: components.breadcrumbs (314μs)
composing: components.breadcrumbs (98μs)
Illuminate\Database\Events\StatementPrepared (1.37ms)
Illuminate\Database\Events\QueryExecuted (787μs)
eloquent.retrieved: App\Models\SubjectCat (124μs)
Illuminate\Cache\Events\CacheHit (4.08ms)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (228μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (238μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (228μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (239μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (234μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (268μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (246μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (900μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (150μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (224μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (151μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (298μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (238μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (230μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (248μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (957μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (151μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (150μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (302μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (240μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (238μs)
Illuminate\Cache\Events\CacheHit (226μs)
Illuminate\Cache\Events\CacheHit (243μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (247μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (234μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (149μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (148μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (151μs)
Illuminate\Cache\Events\CacheHit (301μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (150μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (147μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (147μs)
creating: site.layouts.app (451μs)
composing: site.layouts.app (23μs)
creating: components.canonical (387μs)
composing: components.canonical (106μs)
creating: components.open-graph (192μs)
composing: components.open-graph (79μs)
creating: site.headers.header (273μs)
composing: site.headers.header (80μs)
Illuminate\Cache\Events\CacheHit (1.67ms)
creating: components.footer (85μs)
composing: components.footer (92μs)
Illuminate\Cache\Events\CacheHit (848μs)
Illuminate\Cache\Events\CacheHit (272μs)
Illuminate\Cache\Events\CacheHit (239μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (281μs)
Illuminate\Cache\Events\CacheHit (296μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (168μs)
creating: components.forms.contact-us (225μs)
composing: components.forms.contact-us (149μs)
creating: components.forms.get-started (117μs)
composing: components.forms.get-started (66μs)
creating: components.forms.free-tool-download (93μs)
composing: components.forms.free-tool-download (63μs)
creating: components.forms.claim-free-worksheet (98μs)
composing: components.forms.claim-free-worksheet (62μs)
creating: components.forms.tutor-subscription-waitlist (89μs)
composing: components.forms.tutor-subscription-waitlist (58μs)
creating: components.forms.tutor-subscription-join (88μs)
composing: components.forms.tutor-subscription-join (59μs)
creating: components.forms.tutor-support (95μs)
composing: components.forms.tutor-support (56μs)

321 x Illuminate\Cache\Events\CacheHit (21.32%)	78.65ms
10 x Illuminate\Database\Events\QueryExecuted (8.67%)	31.97ms
10 x Illuminate\Database\Events\StatementPrepared (4.16%)	15.34ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.66%)	2.42ms
1 x Illuminate\Cache\Events\KeyWritten (0.28%)	1.05ms
1 x Illuminate\Routing\Events\Routing (0.25%)	914μs
1 x Illuminate\Database\Events\ConnectionEstablished (0.2%)	754μs
1 x creating: site.layouts.app (0.12%)	451μs
1 x Illuminate\Routing\Events\RouteMatched (0.11%)	411μs
1 x creating: components.canonical (0.1%)	387μs
9 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.09%)	330μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.09%)	316μs
1 x creating: components.breadcrumbs (0.09%)	314μs
1 x eloquent.booting: App\Models\SubjectCat (0.08%)	300μs
1 x creating: site.headers.header (0.07%)	273μs
1 x creating: homework.show (0.07%)	249μs
2 x eloquent.retrieved: App\Models\Subject (0.06%)	237μs
1 x creating: components.forms.contact-us (0.06%)	225μs
2 x eloquent.retrieved: App\Models\SubjectCat (0.06%)	220μs
1 x Illuminate\Cache\Events\CacheMissed (0.06%)	216μs
1 x creating: components.open-graph (0.05%)	192μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)	188μs
1 x composing: components.forms.contact-us (0.04%)	149μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	146μs
1 x creating: components.forms.get-started (0.03%)	117μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)	110μs
1 x composing: components.canonical (0.03%)	106μs
1 x composing: components.breadcrumbs (0.03%)	98μs
1 x creating: components.forms.claim-free-worksheet (0.03%)	98μs
1 x creating: components.forms.tutor-support (0.03%)	95μs
1 x creating: components.forms.free-tool-download (0.03%)	93μs
1 x composing: components.footer (0.02%)	92μs
1 x creating: components.forms.tutor-subscription-waitlist (0.02%)	89μs
1 x creating: components.forms.tutor-subscription-join (0.02%)	88μs
1 x creating: components.footer (0.02%)	85μs
1 x composing: homework.show (0.02%)	83μs
1 x composing: site.headers.header (0.02%)	80μs
1 x composing: components.open-graph (0.02%)	79μs
1 x eloquent.booting: App\Models\Subject (0.02%)	69μs
1 x composing: components.forms.get-started (0.02%)	66μs
1 x composing: components.forms.free-tool-download (0.02%)	63μs
1 x composing: components.forms.claim-free-worksheet (0.02%)	62μs
1 x composing: components.forms.tutor-subscription-join (0.02%)	59μs
1 x composing: components.forms.tutor-subscription-waitlist (0.02%)	58μs
1 x composing: components.forms.tutor-support (0.02%)	56μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	50μs
1 x eloquent.booted: App\Models\Subject (0.01%)	43μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)	43μs
1 x composing: site.layouts.app (0.01%)	23μs

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 duplicated33.43ms

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` = '62852' limit 1

4.98mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 62852
Backtrace	16. app/Http/Controllers/HomeworkLibraryController.php:97 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `subjects` where `subjects`.`id` in (60)

1.54mstwenty4_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 (62852)

1.17mstwenty4_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

1.12mstwenty4_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` <> 62852 and `subject` = 60 and `status` = 'published' and `price` > 0 order by RAND() limit 6

18.59mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 62852 1: 60 2: published 3: 0
Backtrace	14. app/Repositories/HomeworkLibraryRepository.php:30 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 18. app/Repositories/HomeworkLibraryRepository.php:39 19. app/Http/Controllers/HomeworkLibraryController.php:139

select * from `subjects` where `subjects`.`id` in (60)

1.65mstwenty4_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` = 62852 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.28mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 62852 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` = 62852 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.21mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 62852 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` = 62852 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

990μstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 62852 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

900μstwenty4_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\HomeworkLibraryFile: 9HomeworkLibraryFile.php
App\Models\HomeworkLibrary\HomeworkLibrary: 7HomeworkLibrary.php
App\Models\Subject: 2Subject.php
App\Models\SubjectCat: 2SubjectCat.php

_token: MSxloBE6KMr9BCXWKTo1QxOdIKJTdVkiY8jw0XSs
utm_source: direct
redirectUrl: /college-homework-library/Mathematics/Mathematics-Other/62852
_previous: array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Mat...
_flash: array:2 [ "old" => [] "new" => [] ]
PHPDEBUGBAR_STACK_DATA: []

path_info

/college-homework-library/Mathematics/Mathematics-Other/62852

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=1-6809e2f0-3b69315c412cd3623ec3c4a2"
  ]
  "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 => "18.219.197.191"
  ]
  "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 => "Thu, 24 Apr 2025 07:06:25 GMT"
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6IjFob1VSNHE2dkEwNmpiY3ZEbklTbHc9PSIsInZhbHVlIjoiOXcvbmpLUStiYktNOUFaMFJIZkhhSDNGV204WXhQZVpHUGhtQnNiN1g3cXh3eVM3dXdZQ0ZoY1hPQ3pFRTVSNjNra3lpdDR3c2ovUUJnMTlGNFZ6bUN0bmZBcmxOWVJFNWd5ZFpadlVEMkRMY0lMQS9YMVJwNzRlOW4yeVBob3IiLCJtYWMiOiJhYWM3OGM1MGQ1YTcwOGY0NTI0NTVkYjUyM2ExYjY0MzlkYjA0ODEzYWQ3MzEyMzI3Nzk1M2ZkODI0NDYyMDUzIiwidGFnIjoiIn0%3D; expires=Thu, 24 Apr 2025 09:06:25 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=lax ◀XSRF-TOKEN=eyJpdiI6IjFob1VSNHE2dkEwNmpiY3ZEbklTbHc9PSIsInZhbHVlIjoiOXcvbmpLUStiYktNOUFaMFJIZkhhSDNGV204WXhQZVpHUGhtQnNiN1g3cXh3eVM3dXdZQ0ZoY1hPQ3pFRTVSNjNra3lpd ▶"
    1 => "24houranswers_session=eyJpdiI6Ik00U0djdDVES1RvS1RnYlVpUTR1R3c9PSIsInZhbHVlIjoiZCtzSkpEbVBlUHVYWUM0dEt0ZlhZek1BRTAxUkJXdVRUaXBlRTlSUkZ2VWR6TGF3MnVMMFk3N0tyS3ExVlBtdWNtSnlPZEdQSHVkK1FvWU1HY1BOUG1yaS9GcnRUUjVRNG44SE1nbmRvTVBlQ1ovRW9rRHkzZTMyeEttR20zVE0iLCJtYWMiOiI4YzkyYTNlNTlhODQ0YWQzZGFiM2QxNjJmMTdkYjgzYzg2YjQwNzAyOTZmN2YzNzAzOWNkZGE4NGMzMjE4ODcyIiwidGFnIjoiIn0%3D; expires=Thu, 24 Apr 2025 09:06:25 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax ◀24houranswers_session=eyJpdiI6Ik00U0djdDVES1RvS1RnYlVpUTR1R3c9PSIsInZhbHVlIjoiZCtzSkpEbVBlUHVYWUM0dEt0ZlhZek1BRTAxUkJXdVRUaXBlRTlSUkZ2VWR6TGF3MnVMMFk3N0tyS3ExVl ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6IjFob1VSNHE2dkEwNmpiY3ZEbklTbHc9PSIsInZhbHVlIjoiOXcvbmpLUStiYktNOUFaMFJIZkhhSDNGV204WXhQZVpHUGhtQnNiN1g3cXh3eVM3dXdZQ0ZoY1hPQ3pFRTVSNjNra3lpdDR3c2ovUUJnMTlGNFZ6bUN0bmZBcmxOWVJFNWd5ZFpadlVEMkRMY0lMQS9YMVJwNzRlOW4yeVBob3IiLCJtYWMiOiJhYWM3OGM1MGQ1YTcwOGY0NTI0NTVkYjUyM2ExYjY0MzlkYjA0ODEzYWQ3MzEyMzI3Nzk1M2ZkODI0NDYyMDUzIiwidGFnIjoiIn0%3D; expires=Thu, 24-Apr-2025 09:06:25 GMT; domain=.24houranswers.com; path=/ ◀XSRF-TOKEN=eyJpdiI6IjFob1VSNHE2dkEwNmpiY3ZEbklTbHc9PSIsInZhbHVlIjoiOXcvbmpLUStiYktNOUFaMFJIZkhhSDNGV204WXhQZVpHUGhtQnNiN1g3cXh3eVM3dXdZQ0ZoY1hPQ3pFRTVSNjNra3lpd ▶"
    1 => "24houranswers_session=eyJpdiI6Ik00U0djdDVES1RvS1RnYlVpUTR1R3c9PSIsInZhbHVlIjoiZCtzSkpEbVBlUHVYWUM0dEt0ZlhZek1BRTAxUkJXdVRUaXBlRTlSUkZ2VWR6TGF3MnVMMFk3N0tyS3ExVlBtdWNtSnlPZEdQSHVkK1FvWU1HY1BOUG1yaS9GcnRUUjVRNG44SE1nbmRvTVBlQ1ovRW9rRHkzZTMyeEttR20zVE0iLCJtYWMiOiI4YzkyYTNlNTlhODQ0YWQzZGFiM2QxNjJmMTdkYjgzYzg2YjQwNzAyOTZmN2YzNzAzOWNkZGE4NGMzMjE4ODcyIiwidGFnIjoiIn0%3D; expires=Thu, 24-Apr-2025 09:06:25 GMT; domain=.24houranswers.com; path=/; httponly ◀24houranswers_session=eyJpdiI6Ik00U0djdDVES1RvS1RnYlVpUTR1R3c9PSIsInZhbHVlIjoiZCtzSkpEbVBlUHVYWUM0dEt0ZlhZek1BRTAxUkJXdVRUaXBlRTlSUkZ2VWR6TGF3MnVMMFk3N0tyS3ExVl ▶"
  ]
]

session_attributes

  0 of 0   
array:6 [▼
  "_token" => "MSxloBE6KMr9BCXWKTo1QxOdIKJTdVkiY8jw0XSs"
  "utm_source" => "direct"
  "redirectUrl" => "/college-homework-library/Mathematics/Mathematics-Other/62852"
  "_previous" => array:1 [▶
    "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Mathematics-Other/62852"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]

Let g(x) = 2x(4-x) + -3(4-x)+ - (a) simplify g(x); (b) Find all th...

Similar Homework Solutions

1 x Booting (61.24%)	226ms
1 x Application (38.76%)	143ms