Answered: Question 1 [18 marks] A Markov chain (X... |24HA

Messages Timeline Exceptions Events442 Views14 Route Queries20 Models29 Livewire0 Mails Gate Session Request

8.1.0690ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (400ms)time
Application (289ms)time
1 x Booting (57.99%)
400ms
1 x Application (41.97%)
289ms

Illuminate\Routing\Events\Routing (1.77ms)
Illuminate\Routing\Events\RouteMatched (1.12ms)
Illuminate\Foundation\Events\LocaleUpdated (5.87ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (224μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (242μs)
Illuminate\Database\Events\ConnectionEstablished (1.3ms)
Illuminate\Database\Events\StatementPrepared (22.69ms)
Illuminate\Database\Events\QueryExecuted (1.02ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (101μs)
eloquent.booting: App\Models\Subject (147μs)
eloquent.booted: App\Models\Subject (63μs)
Illuminate\Database\Events\StatementPrepared (4.92ms)
Illuminate\Database\Events\QueryExecuted (1.93ms)
eloquent.retrieved: App\Models\Subject (147μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (181μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (64μs)
Illuminate\Database\Events\StatementPrepared (1.32ms)
Illuminate\Database\Events\QueryExecuted (934μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (82μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (16μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.booting: App\Models\SubjectCat (335μs)
eloquent.booted: App\Models\SubjectCat (45μs)
Illuminate\Database\Events\StatementPrepared (817μs)
Illuminate\Database\Events\QueryExecuted (923μs)
eloquent.retrieved: App\Models\SubjectCat (86μs)
Illuminate\Cache\Events\CacheHit (17.27ms)
Illuminate\Cache\Events\CacheMissed (315μs)
Illuminate\Database\Events\StatementPrepared (1.13ms)
Illuminate\Database\Events\QueryExecuted (2.42ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (110μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (22μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (12μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (10μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (9μs)
Illuminate\Database\Events\StatementPrepared (1.25ms)
Illuminate\Database\Events\QueryExecuted (972μs)
eloquent.retrieved: App\Models\Subject (154μs)
Illuminate\Cache\Events\KeyWritten (2.55ms)
Illuminate\Database\Events\StatementPrepared (2.5ms)
Illuminate\Database\Events\QueryExecuted (4.69ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (73μs)
Illuminate\Database\Events\StatementPrepared (1.72ms)
Illuminate\Database\Events\QueryExecuted (723μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (40μs)
Illuminate\Database\Events\StatementPrepared (1.65ms)
Illuminate\Database\Events\QueryExecuted (1.14ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (48μs)
Illuminate\Cache\Events\CacheHit (431μs)
creating: homework.show (558μs)
composing: homework.show (116μs)
creating: components.breadcrumbs (331μs)
composing: components.breadcrumbs (164μs)
Illuminate\Database\Events\StatementPrepared (2.57ms)
Illuminate\Database\Events\QueryExecuted (2.11ms)
eloquent.retrieved: App\Models\SubjectCat (135μs)
Illuminate\Cache\Events\CacheMissed (12.72ms)
Illuminate\Database\Events\StatementPrepared (1.07ms)
Illuminate\Database\Events\QueryExecuted (966μs)
eloquent.retrieved: App\Models\SubjectCat (106μs)
Illuminate\Cache\Events\KeyWritten (440μs)
Illuminate\Cache\Events\CacheHit (315μs)
Illuminate\Cache\Events\CacheHit (344μs)
Illuminate\Cache\Events\CacheHit (267μs)
Illuminate\Cache\Events\CacheHit (269μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (247μs)
Illuminate\Cache\Events\CacheHit (240μs)
Illuminate\Cache\Events\CacheHit (309μs)
Illuminate\Cache\Events\CacheHit (239μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheMissed (2.69ms)
Illuminate\Database\Events\StatementPrepared (765μs)
Illuminate\Database\Events\QueryExecuted (1.5ms)
eloquent.retrieved: App\Models\SubjectCat (201μs)
Illuminate\Cache\Events\KeyWritten (431μs)
Illuminate\Cache\Events\CacheHit (1.69ms)
Illuminate\Cache\Events\CacheHit (253μs)
Illuminate\Cache\Events\CacheHit (224μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheHit (283μs)
Illuminate\Cache\Events\CacheHit (345μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheMissed (442μs)
Illuminate\Database\Events\StatementPrepared (1.16ms)
Illuminate\Database\Events\QueryExecuted (1.22ms)
eloquent.retrieved: App\Models\SubjectCat (90μs)
Illuminate\Cache\Events\KeyWritten (1.82ms)
Illuminate\Cache\Events\CacheHit (257μs)
Illuminate\Cache\Events\CacheHit (282μs)
Illuminate\Cache\Events\CacheHit (344μs)
Illuminate\Cache\Events\CacheHit (224μs)
Illuminate\Cache\Events\CacheHit (244μs)
Illuminate\Cache\Events\CacheHit (265μs)
Illuminate\Cache\Events\CacheHit (637μs)
Illuminate\Cache\Events\CacheHit (372μs)
Illuminate\Cache\Events\CacheHit (443μs)
Illuminate\Cache\Events\CacheHit (418μs)
Illuminate\Cache\Events\CacheHit (285μs)
Illuminate\Cache\Events\CacheHit (5.94ms)
Illuminate\Cache\Events\CacheHit (316μs)
Illuminate\Cache\Events\CacheHit (257μs)
Illuminate\Cache\Events\CacheHit (3.35ms)
Illuminate\Cache\Events\CacheHit (1.61ms)
Illuminate\Cache\Events\CacheHit (230μs)
Illuminate\Cache\Events\CacheHit (2.92ms)
Illuminate\Cache\Events\CacheHit (229μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (384μs)
Illuminate\Cache\Events\CacheHit (565μs)
Illuminate\Cache\Events\CacheHit (770μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (394μs)
Illuminate\Cache\Events\CacheHit (270μs)
Illuminate\Cache\Events\CacheHit (368μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (224μs)
Illuminate\Cache\Events\CacheHit (226μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheMissed (195μs)
Illuminate\Database\Events\StatementPrepared (753μs)
Illuminate\Database\Events\QueryExecuted (3.86ms)
eloquent.retrieved: App\Models\SubjectCat (194μs)
Illuminate\Cache\Events\KeyWritten (1.78ms)
Illuminate\Cache\Events\CacheHit (387μs)
Illuminate\Cache\Events\CacheHit (422μs)
Illuminate\Cache\Events\CacheHit (310μs)
Illuminate\Cache\Events\CacheHit (294μs)
Illuminate\Cache\Events\CacheHit (343μs)
Illuminate\Cache\Events\CacheHit (302μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (846μs)
Illuminate\Cache\Events\CacheHit (807μs)
Illuminate\Cache\Events\CacheHit (782μs)
Illuminate\Cache\Events\CacheHit (471μs)
Illuminate\Cache\Events\CacheHit (328μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (311μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (288μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (296μs)
Illuminate\Cache\Events\CacheHit (308μs)
Illuminate\Cache\Events\CacheHit (347μs)
Illuminate\Cache\Events\CacheHit (268μs)
Illuminate\Cache\Events\CacheHit (307μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (223μs)
Illuminate\Cache\Events\CacheHit (294μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (270μs)
Illuminate\Cache\Events\CacheHit (339μs)
Illuminate\Cache\Events\CacheHit (417μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (314μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (233μs)
Illuminate\Cache\Events\CacheHit (365μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (231μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheMissed (319μs)
Illuminate\Database\Events\StatementPrepared (886μs)
Illuminate\Database\Events\QueryExecuted (1.17ms)
eloquent.retrieved: App\Models\SubjectCat (96μs)
Illuminate\Cache\Events\KeyWritten (647μs)
Illuminate\Cache\Events\CacheHit (1.18ms)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (312μs)
Illuminate\Cache\Events\CacheHit (303μs)
Illuminate\Cache\Events\CacheHit (275μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheMissed (286μs)
Illuminate\Database\Events\StatementPrepared (823μs)
Illuminate\Database\Events\QueryExecuted (1.09ms)
eloquent.retrieved: App\Models\SubjectCat (62μs)
Illuminate\Cache\Events\KeyWritten (1.53ms)
Illuminate\Cache\Events\CacheHit (406μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (257μs)
Illuminate\Cache\Events\CacheHit (239μs)
Illuminate\Cache\Events\CacheHit (410μs)
Illuminate\Cache\Events\CacheHit (226μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (304μs)
Illuminate\Cache\Events\CacheHit (250μs)
Illuminate\Cache\Events\CacheHit (963μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (282μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (353μs)
Illuminate\Cache\Events\CacheHit (858μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (334μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (227μs)
Illuminate\Cache\Events\CacheHit (309μs)
Illuminate\Cache\Events\CacheHit (258μs)
Illuminate\Cache\Events\CacheHit (303μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheMissed (338μs)
Illuminate\Database\Events\StatementPrepared (755μs)
Illuminate\Database\Events\QueryExecuted (1.43ms)
eloquent.retrieved: App\Models\SubjectCat (180μs)
Illuminate\Cache\Events\KeyWritten (369μs)
Illuminate\Cache\Events\CacheHit (1.19ms)
Illuminate\Cache\Events\CacheHit (343μs)
Illuminate\Cache\Events\CacheHit (274μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (256μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (228μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (389μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (259μs)
Illuminate\Cache\Events\CacheHit (330μs)
Illuminate\Cache\Events\CacheHit (352μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (273μs)
Illuminate\Cache\Events\CacheHit (276μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (349μs)
Illuminate\Cache\Events\CacheHit (240μs)
Illuminate\Cache\Events\CacheHit (366μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (250μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (366μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (545μs)
Illuminate\Cache\Events\CacheHit (368μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (243μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (288μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (269μs)
Illuminate\Cache\Events\CacheHit (269μs)
Illuminate\Cache\Events\CacheHit (355μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (319μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (261μs)
Illuminate\Cache\Events\CacheHit (234μs)
Illuminate\Cache\Events\CacheHit (310μs)
Illuminate\Cache\Events\CacheHit (486μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (352μs)
Illuminate\Cache\Events\CacheHit (693μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (247μs)
Illuminate\Cache\Events\CacheHit (241μs)
Illuminate\Cache\Events\CacheMissed (2.46ms)
Illuminate\Database\Events\StatementPrepared (1.25ms)
Illuminate\Database\Events\QueryExecuted (2.01ms)
eloquent.retrieved: App\Models\SubjectCat (144μs)
Illuminate\Cache\Events\KeyWritten (427μs)
Illuminate\Cache\Events\CacheHit (1.24ms)
Illuminate\Cache\Events\CacheHit (256μs)
Illuminate\Cache\Events\CacheHit (246μs)
Illuminate\Cache\Events\CacheHit (310μs)
Illuminate\Cache\Events\CacheHit (363μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (313μs)
Illuminate\Cache\Events\CacheHit (285μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (596μs)
Illuminate\Cache\Events\CacheHit (223μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (303μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (1.39ms)
Illuminate\Cache\Events\CacheHit (371μs)
Illuminate\Cache\Events\CacheHit (338μs)
Illuminate\Cache\Events\CacheHit (545μs)
Illuminate\Cache\Events\CacheHit (256μs)
Illuminate\Cache\Events\CacheHit (297μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (234μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (228μs)
Illuminate\Cache\Events\CacheHit (262μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (342μs)
Illuminate\Cache\Events\CacheHit (500μs)
Illuminate\Cache\Events\CacheHit (235μs)
Illuminate\Cache\Events\CacheHit (498μs)
Illuminate\Cache\Events\CacheHit (350μs)
Illuminate\Cache\Events\CacheHit (293μs)
Illuminate\Cache\Events\CacheHit (441μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (259μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (319μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (1.63ms)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (259μs)
Illuminate\Cache\Events\CacheHit (299μs)
Illuminate\Cache\Events\CacheHit (2.36ms)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (275μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (498μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (241μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (473μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (311μs)
Illuminate\Cache\Events\CacheHit (440μs)
Illuminate\Cache\Events\CacheHit (317μs)
Illuminate\Cache\Events\CacheHit (282μs)
Illuminate\Cache\Events\CacheHit (229μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (530μs)
Illuminate\Cache\Events\CacheHit (253μs)
Illuminate\Cache\Events\CacheHit (494μs)
Illuminate\Cache\Events\CacheHit (253μs)
Illuminate\Cache\Events\CacheHit (313μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (320μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (257μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheMissed (287μs)
Illuminate\Database\Events\StatementPrepared (1.36ms)
Illuminate\Database\Events\QueryExecuted (1.67ms)
eloquent.retrieved: App\Models\SubjectCat (69μs)
Illuminate\Cache\Events\KeyWritten (1.85ms)
Illuminate\Cache\Events\CacheHit (790μs)
Illuminate\Cache\Events\CacheHit (385μs)
Illuminate\Cache\Events\CacheHit (223μs)
Illuminate\Cache\Events\CacheHit (593μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (506μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (500μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (249μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (258μs)
Illuminate\Cache\Events\CacheHit (294μs)
Illuminate\Cache\Events\CacheHit (1.99ms)
Illuminate\Cache\Events\CacheHit (3.9ms)
creating: site.layouts.app (998μs)
composing: site.layouts.app (29μs)
creating: components.canonical (2.47ms)
composing: components.canonical (239μs)
creating: components.open-graph (2.97ms)
composing: components.open-graph (96μs)
creating: site.headers.header (921μs)
composing: site.headers.header (645μs)
Illuminate\Cache\Events\CacheHit (4.08ms)
creating: components.footer (114μs)
composing: components.footer (181μs)
Illuminate\Cache\Events\CacheHit (1.31ms)
Illuminate\Cache\Events\CacheMissed (1.28ms)
Illuminate\Database\Events\StatementPrepared (2.18ms)
Illuminate\Database\Events\QueryExecuted (1.28ms)
eloquent.retrieved: App\Models\SubjectCat (108μs)
Illuminate\Cache\Events\KeyWritten (597μs)
Illuminate\Cache\Events\CacheHit (328μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (692μs)
Illuminate\Cache\Events\CacheHit (363μs)
Illuminate\Cache\Events\CacheHit (319μs)
Illuminate\Cache\Events\CacheHit (346μs)
Illuminate\Cache\Events\CacheHit (225μs)
Illuminate\Cache\Events\CacheHit (214μs)
creating: components.forms.contact-us (288μs)
composing: components.forms.contact-us (230μs)
creating: components.forms.get-started (297μs)
composing: components.forms.get-started (91μs)
creating: components.forms.free-tool-download (152μs)
composing: components.forms.free-tool-download (79μs)
creating: components.forms.claim-free-worksheet (141μs)
composing: components.forms.claim-free-worksheet (75μs)
creating: components.forms.tutor-subscription-waitlist (277μs)
composing: components.forms.tutor-subscription-waitlist (83μs)
creating: components.forms.tutor-subscription-join (152μs)
composing: components.forms.tutor-subscription-join (338μs)
creating: components.forms.tutor-support (154μs)
composing: components.forms.tutor-support (76μs)

311 x Illuminate\Cache\Events\CacheHit (19.62%)	135ms
20 x Illuminate\Database\Events\StatementPrepared (7.48%)	51.56ms
20 x Illuminate\Database\Events\QueryExecuted (4.79%)	33.05ms
11 x Illuminate\Cache\Events\CacheMissed (3.09%)	21.33ms
11 x Illuminate\Cache\Events\KeyWritten (1.8%)	12.44ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.85%)	5.87ms
1 x creating: components.open-graph (0.43%)	2.97ms
1 x creating: components.canonical (0.36%)	2.47ms
1 x Illuminate\Routing\Events\Routing (0.26%)	1.77ms
12 x eloquent.retrieved: App\Models\SubjectCat (0.21%)	1.47ms
1 x Illuminate\Database\Events\ConnectionEstablished (0.19%)	1.30ms
1 x Illuminate\Routing\Events\RouteMatched (0.16%)	1.12ms
1 x creating: site.layouts.app (0.14%)	998μs
1 x creating: site.headers.header (0.13%)	921μs
1 x composing: site.headers.header (0.09%)	645μs
1 x creating: homework.show (0.08%)	558μs
1 x composing: components.forms.tutor-subscription-join (0.05%)	338μs
1 x eloquent.booting: App\Models\SubjectCat (0.05%)	335μs
1 x creating: components.breadcrumbs (0.05%)	331μs
2 x eloquent.retrieved: App\Models\Subject (0.04%)	301μs
1 x creating: components.forms.get-started (0.04%)	297μs
1 x creating: components.forms.contact-us (0.04%)	288μs
8 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.04%)	278μs
1 x creating: components.forms.tutor-subscription-waitlist (0.04%)	277μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	275μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	242μs
1 x composing: components.canonical (0.03%)	239μs
1 x composing: components.forms.contact-us (0.03%)	230μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)	224μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)	181μs
1 x composing: components.footer (0.03%)	181μs
1 x composing: components.breadcrumbs (0.02%)	164μs
1 x creating: components.forms.tutor-support (0.02%)	154μs
1 x creating: components.forms.free-tool-download (0.02%)	152μs
1 x creating: components.forms.tutor-subscription-join (0.02%)	152μs
1 x eloquent.booting: App\Models\Subject (0.02%)	147μs
1 x creating: components.forms.claim-free-worksheet (0.02%)	141μs
1 x composing: homework.show (0.02%)	116μs
1 x creating: components.footer (0.02%)	114μs
1 x composing: components.open-graph (0.01%)	96μs
1 x composing: components.forms.get-started (0.01%)	91μs
1 x composing: components.forms.tutor-subscription-waitlist (0.01%)	83μs
1 x composing: components.forms.free-tool-download (0.01%)	79μs
1 x composing: components.forms.tutor-support (0.01%)	76μs
1 x composing: components.forms.claim-free-worksheet (0.01%)	75μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)	64μs
1 x eloquent.booted: App\Models\Subject (0.01%)	63μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	45μs
1 x composing: site.layouts.app (0%)	29μs

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

20 statements were executed, 5 of which were duplicates, 15 unique. Show only duplicated55.76ms

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` = '62263' limit 1

22.66mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 62263
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 (245)

4.39mstwenty4_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 (62263)

1.21mstwenty4_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

1.08mstwenty4_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` <> 62263 and `subject` = 245 and `status` = 'published' and `price` > 0 order by RAND() limit 6

2.53mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 62263 1: 245 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 (245)

1.24mstwenty4_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` = 62263 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

4.29mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 62263 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` = 62263 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

930μstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 62263 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` = 62263 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.19mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 62263 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

1.73mstwenty4_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` = 1 limit 1

1.23mstwenty4_siteSubject.php#100

Bindings	0: 1
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` = 3 limit 1

1.37mstwenty4_siteSubject.php#100

Bindings	0: 3
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` = 4 limit 1

1.5mstwenty4_siteSubject.php#100

Bindings	0: 4
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` = 10 limit 1

1.17mstwenty4_siteSubject.php#100

Bindings	0: 10
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` = 33 limit 1

1.4mstwenty4_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

1.23mstwenty4_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

1.24mstwenty4_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

1.68mstwenty4_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

1.54mstwenty4_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

2.15mstwenty4_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

App\Models\SubjectCat: 12SubjectCat.php
App\Models\HomeworkLibrary\HomeworkLibraryFile: 8HomeworkLibraryFile.php
App\Models\HomeworkLibrary\HomeworkLibrary: 7HomeworkLibrary.php
App\Models\Subject: 2Subject.php

_token: U1gor2CpSxO9GKpSx11z0RhidsnRnTEr2YXAIvIg
utm_source: direct
redirectUrl: /college-homework-library/Mathematics/Actuarial-Science/62263
_previous: array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Act...
_flash: array:2 [ "old" => [] "new" => [] ]
PHPDEBUGBAR_STACK_DATA: []

path_info

/college-homework-library/Mathematics/Actuarial-Science/62263

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=1-67ffd443-2641776f07b8ad2b58928790"
  ]
  "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 => "3.143.203.155"
  ]
  "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 => "Wed, 16 Apr 2025 16:01:08 GMT"
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6IjhkbzhrYjI1Vll1VmRzZ3hyeW4rR0E9PSIsInZhbHVlIjoiQ3NSQmQ0cHFWUVZNK1VoVHUvQm96d3o4RGJScWJGbnRLY2dGaDhwMHpobkI3SEtoOEh5OHhXVGdzV0xONWp2cEY2bWdFbnY1ZEVFNXA5Zk1Ub3A1SUlYeG5DVjRGRjgvL09TdCs3Y0tFZm9qRVljemJzbkhzaGV6NGtIb1I3NjIiLCJtYWMiOiI5YzczMTdiYzc3OGYzYjMwODk4ZGQwNjA5ZDYxNmFmMDA3NzJjYWJhZDlmZDQ0MGFiNmU5ZWM4NzY5ZGIyOTdhIiwidGFnIjoiIn0%3D; expires=Wed, 16 Apr 2025 18:01:08 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=lax ◀XSRF-TOKEN=eyJpdiI6IjhkbzhrYjI1Vll1VmRzZ3hyeW4rR0E9PSIsInZhbHVlIjoiQ3NSQmQ0cHFWUVZNK1VoVHUvQm96d3o4RGJScWJGbnRLY2dGaDhwMHpobkI3SEtoOEh5OHhXVGdzV0xONWp2cEY2bWdFb ▶"
    1 => "24houranswers_session=eyJpdiI6ImFDaXNidVVTb3FmNWErTVJKaGJhOUE9PSIsInZhbHVlIjoiMVVNZFlra2I3djAwdmNudnc1V05JRjVoZjVpQkp4NHZabkoxcG1LQktVdWN6UGgwMXlpKy9GaXN6dE1pSmlkWVExT011cUFVczlZUHFPemcwdVBrbllpZnRMVU45VXFta1h3Q3NMbkpONkRzRDVMYk9VQ2hSaWQ4b0xBWElWdWgiLCJtYWMiOiJmOGRjOWZlN2U4YmQ3MGVlNGQ5ZDc1MDhjMGJiMDYxNzIzY2IwY2M5OWZmN2VmMWYxOGE0ZTI2YmE2ZDZiYjk3IiwidGFnIjoiIn0%3D; expires=Wed, 16 Apr 2025 18:01:08 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax ◀24houranswers_session=eyJpdiI6ImFDaXNidVVTb3FmNWErTVJKaGJhOUE9PSIsInZhbHVlIjoiMVVNZFlra2I3djAwdmNudnc1V05JRjVoZjVpQkp4NHZabkoxcG1LQktVdWN6UGgwMXlpKy9GaXN6dE1pSm ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6IjhkbzhrYjI1Vll1VmRzZ3hyeW4rR0E9PSIsInZhbHVlIjoiQ3NSQmQ0cHFWUVZNK1VoVHUvQm96d3o4RGJScWJGbnRLY2dGaDhwMHpobkI3SEtoOEh5OHhXVGdzV0xONWp2cEY2bWdFbnY1ZEVFNXA5Zk1Ub3A1SUlYeG5DVjRGRjgvL09TdCs3Y0tFZm9qRVljemJzbkhzaGV6NGtIb1I3NjIiLCJtYWMiOiI5YzczMTdiYzc3OGYzYjMwODk4ZGQwNjA5ZDYxNmFmMDA3NzJjYWJhZDlmZDQ0MGFiNmU5ZWM4NzY5ZGIyOTdhIiwidGFnIjoiIn0%3D; expires=Wed, 16-Apr-2025 18:01:08 GMT; domain=.24houranswers.com; path=/ ◀XSRF-TOKEN=eyJpdiI6IjhkbzhrYjI1Vll1VmRzZ3hyeW4rR0E9PSIsInZhbHVlIjoiQ3NSQmQ0cHFWUVZNK1VoVHUvQm96d3o4RGJScWJGbnRLY2dGaDhwMHpobkI3SEtoOEh5OHhXVGdzV0xONWp2cEY2bWdFb ▶"
    1 => "24houranswers_session=eyJpdiI6ImFDaXNidVVTb3FmNWErTVJKaGJhOUE9PSIsInZhbHVlIjoiMVVNZFlra2I3djAwdmNudnc1V05JRjVoZjVpQkp4NHZabkoxcG1LQktVdWN6UGgwMXlpKy9GaXN6dE1pSmlkWVExT011cUFVczlZUHFPemcwdVBrbllpZnRMVU45VXFta1h3Q3NMbkpONkRzRDVMYk9VQ2hSaWQ4b0xBWElWdWgiLCJtYWMiOiJmOGRjOWZlN2U4YmQ3MGVlNGQ5ZDc1MDhjMGJiMDYxNzIzY2IwY2M5OWZmN2VmMWYxOGE0ZTI2YmE2ZDZiYjk3IiwidGFnIjoiIn0%3D; expires=Wed, 16-Apr-2025 18:01:08 GMT; domain=.24houranswers.com; path=/; httponly ◀24houranswers_session=eyJpdiI6ImFDaXNidVVTb3FmNWErTVJKaGJhOUE9PSIsInZhbHVlIjoiMVVNZFlra2I3djAwdmNudnc1V05JRjVoZjVpQkp4NHZabkoxcG1LQktVdWN6UGgwMXlpKy9GaXN6dE1pSm ▶"
  ]
]

session_attributes

  0 of 0   
array:6 [▼
  "_token" => "U1gor2CpSxO9GKpSx11z0RhidsnRnTEr2YXAIvIg"
  "utm_source" => "direct"
  "redirectUrl" => "/college-homework-library/Mathematics/Actuarial-Science/62263"
  "_previous" => array:1 [▶
    "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Actuarial-Science/62263"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]

Question 1 [18 marks] A Markov chain (X. (2) a =0,1,2, } with...

Similar Homework Solutions

1 x Booting (57.99%)	400ms
1 x Application (41.97%)	289ms