Answered: #2 Let eᴬᵗ be the exponential matrix ... |24HA

Messages Timeline Exceptions Events440 Views14 Route Queries20 Models27 Livewire0 Mails Gate Session Request

8.1.0461ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (276ms)time
Application (185ms)time
1 x Booting (59.89%)
276ms
1 x Application (40.11%)
185ms

Illuminate\Routing\Events\Routing (1.35ms)
Illuminate\Routing\Events\RouteMatched (562μs)
Illuminate\Foundation\Events\LocaleUpdated (5.54ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (251μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (330μs)
Illuminate\Database\Events\ConnectionEstablished (1.13ms)
Illuminate\Database\Events\StatementPrepared (26.2ms)
Illuminate\Database\Events\QueryExecuted (1.2ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (113μs)
eloquent.booting: App\Models\Subject (70μs)
eloquent.booted: App\Models\Subject (62μs)
Illuminate\Database\Events\StatementPrepared (1.72ms)
Illuminate\Database\Events\QueryExecuted (982μs)
eloquent.retrieved: App\Models\Subject (128μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (151μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (61μs)
Illuminate\Database\Events\StatementPrepared (751μs)
Illuminate\Database\Events\QueryExecuted (1.73ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (96μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (16μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (7μs)
eloquent.booting: App\Models\SubjectCat (299μs)
eloquent.booted: App\Models\SubjectCat (45μs)
Illuminate\Database\Events\StatementPrepared (756μs)
Illuminate\Database\Events\QueryExecuted (1.25ms)
eloquent.retrieved: App\Models\SubjectCat (98μs)
Illuminate\Cache\Events\CacheHit (11.67ms)
Illuminate\Cache\Events\CacheMissed (265μs)
Illuminate\Database\Events\StatementPrepared (982μs)
Illuminate\Database\Events\QueryExecuted (7.56ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (272μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (29μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (14μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (14μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
Illuminate\Database\Events\StatementPrepared (944μs)
Illuminate\Database\Events\QueryExecuted (1.1ms)
eloquent.retrieved: App\Models\Subject (131μs)
Illuminate\Cache\Events\KeyWritten (1.1ms)
Illuminate\Database\Events\StatementPrepared (2.65ms)
Illuminate\Database\Events\QueryExecuted (1.33ms)
Illuminate\Database\Events\StatementPrepared (763μs)
Illuminate\Database\Events\QueryExecuted (1.13ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (57μs)
Illuminate\Database\Events\StatementPrepared (858μs)
Illuminate\Database\Events\QueryExecuted (973μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (54μs)
Illuminate\Cache\Events\CacheHit (621μs)
creating: homework.show (666μs)
composing: homework.show (135μs)
creating: components.breadcrumbs (288μs)
composing: components.breadcrumbs (132μs)
Illuminate\Database\Events\StatementPrepared (1.37ms)
Illuminate\Database\Events\QueryExecuted (866μs)
eloquent.retrieved: App\Models\SubjectCat (79μs)
Illuminate\Cache\Events\CacheMissed (6.28ms)
Illuminate\Database\Events\StatementPrepared (628μs)
Illuminate\Database\Events\QueryExecuted (2.55ms)
eloquent.retrieved: App\Models\SubjectCat (93μs)
Illuminate\Cache\Events\KeyWritten (420μs)
Illuminate\Cache\Events\CacheHit (339μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (574μs)
Illuminate\Cache\Events\CacheHit (227μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (264μs)
Illuminate\Cache\Events\CacheHit (759μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheMissed (282μs)
Illuminate\Database\Events\StatementPrepared (602μs)
Illuminate\Database\Events\QueryExecuted (1.06ms)
eloquent.retrieved: App\Models\SubjectCat (82μs)
Illuminate\Cache\Events\KeyWritten (414μs)
Illuminate\Cache\Events\CacheHit (272μs)
Illuminate\Cache\Events\CacheHit (248μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (327μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (280μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheMissed (229μs)
Illuminate\Database\Events\StatementPrepared (711μs)
Illuminate\Database\Events\QueryExecuted (988μs)
eloquent.retrieved: App\Models\SubjectCat (78μs)
Illuminate\Cache\Events\KeyWritten (381μs)
Illuminate\Cache\Events\CacheHit (224μs)
Illuminate\Cache\Events\CacheHit (240μs)
Illuminate\Cache\Events\CacheHit (400μs)
Illuminate\Cache\Events\CacheHit (281μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheHit (251μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (231μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (263μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheMissed (303μs)
Illuminate\Database\Events\StatementPrepared (864μs)
Illuminate\Database\Events\QueryExecuted (1.11ms)
eloquent.retrieved: App\Models\SubjectCat (209μs)
Illuminate\Cache\Events\KeyWritten (475μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (233μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (229μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (279μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (242μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheMissed (291μs)
Illuminate\Database\Events\StatementPrepared (951μs)
Illuminate\Database\Events\QueryExecuted (1.13ms)
eloquent.retrieved: App\Models\SubjectCat (105μs)
Illuminate\Cache\Events\KeyWritten (396μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (273μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (334μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (234μs)
Illuminate\Cache\Events\CacheMissed (281μs)
Illuminate\Database\Events\StatementPrepared (768μs)
Illuminate\Database\Events\QueryExecuted (1.08ms)
eloquent.retrieved: App\Models\SubjectCat (104μs)
Illuminate\Cache\Events\KeyWritten (643μs)
Illuminate\Cache\Events\CacheHit (1.5ms)
Illuminate\Cache\Events\CacheHit (243μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheHit (134μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (838μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (523μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (236μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (295μs)
Illuminate\Cache\Events\CacheHit (133μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (147μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheMissed (210μs)
Illuminate\Database\Events\StatementPrepared (1.08ms)
Illuminate\Database\Events\QueryExecuted (1.21ms)
eloquent.retrieved: App\Models\SubjectCat (79μs)
Illuminate\Cache\Events\KeyWritten (307μs)
Illuminate\Cache\Events\CacheHit (1.22ms)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (287μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (288μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (319μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (264μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheHit (257μs)
Illuminate\Cache\Events\CacheHit (222μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (233μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (229μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (269μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheMissed (298μs)
Illuminate\Database\Events\StatementPrepared (873μs)
Illuminate\Database\Events\QueryExecuted (1.29ms)
eloquent.retrieved: App\Models\SubjectCat (94μs)
Illuminate\Cache\Events\KeyWritten (1.83ms)
Illuminate\Cache\Events\CacheHit (503μs)
Illuminate\Cache\Events\CacheHit (723μs)
Illuminate\Cache\Events\CacheHit (381μs)
Illuminate\Cache\Events\CacheHit (359μs)
Illuminate\Cache\Events\CacheHit (150μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (151μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (655μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (287μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (253μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (263μs)
Illuminate\Cache\Events\CacheHit (147μs)
Illuminate\Cache\Events\CacheHit (151μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (140μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (421μs)
Illuminate\Cache\Events\CacheHit (148μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (291μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (246μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (264μs)
Illuminate\Cache\Events\CacheHit (142μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheMissed (140μs)
Illuminate\Database\Events\StatementPrepared (810μs)
Illuminate\Database\Events\QueryExecuted (791μs)
eloquent.retrieved: App\Models\SubjectCat (89μs)
Illuminate\Cache\Events\KeyWritten (317μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (317μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (115μs)
creating: site.layouts.app (371μs)
composing: site.layouts.app (18μs)
creating: components.canonical (413μs)
composing: components.canonical (77μs)
creating: components.open-graph (143μs)
composing: components.open-graph (48μs)
creating: site.headers.header (214μs)
composing: site.headers.header (46μs)
Illuminate\Cache\Events\CacheHit (1.2ms)
creating: components.footer (70μs)
composing: components.footer (71μs)
Illuminate\Cache\Events\CacheHit (685μs)
Illuminate\Cache\Events\CacheMissed (284μs)
Illuminate\Database\Events\StatementPrepared (777μs)
Illuminate\Database\Events\QueryExecuted (961μs)
eloquent.retrieved: App\Models\SubjectCat (83μs)
Illuminate\Cache\Events\KeyWritten (324μs)
Illuminate\Cache\Events\CacheHit (299μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (148μs)
Illuminate\Cache\Events\CacheHit (409μs)
Illuminate\Cache\Events\CacheHit (280μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (133μs)
Illuminate\Cache\Events\CacheHit (708μs)
Illuminate\Cache\Events\CacheHit (147μs)
creating: components.forms.contact-us (225μs)
composing: components.forms.contact-us (129μs)
creating: components.forms.get-started (142μs)
composing: components.forms.get-started (47μs)
creating: components.forms.free-tool-download (85μs)
composing: components.forms.free-tool-download (40μs)
creating: components.forms.claim-free-worksheet (82μs)
composing: components.forms.claim-free-worksheet (45μs)
creating: components.forms.tutor-subscription-waitlist (82μs)
composing: components.forms.tutor-subscription-waitlist (39μs)
creating: components.forms.tutor-subscription-join (77μs)
composing: components.forms.tutor-subscription-join (38μs)
creating: components.forms.tutor-support (76μs)
composing: components.forms.tutor-support (40μs)

311 x Illuminate\Cache\Events\CacheHit (16.02%)	73.92ms
20 x Illuminate\Database\Events\StatementPrepared (9.77%)	45.05ms
20 x Illuminate\Database\Events\QueryExecuted (6.56%)	30.28ms
11 x Illuminate\Cache\Events\CacheMissed (1.92%)	8.86ms
11 x Illuminate\Cache\Events\KeyWritten (1.43%)	6.60ms
1 x Illuminate\Foundation\Events\LocaleUpdated (1.2%)	5.54ms
1 x Illuminate\Routing\Events\Routing (0.29%)	1.35ms
12 x eloquent.retrieved: App\Models\SubjectCat (0.26%)	1.19ms
1 x Illuminate\Database\Events\ConnectionEstablished (0.25%)	1.13ms
1 x creating: homework.show (0.14%)	666μs
1 x Illuminate\Routing\Events\RouteMatched (0.12%)	562μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.1%)	468μs
1 x creating: components.canonical (0.09%)	413μs
1 x creating: site.layouts.app (0.08%)	371μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.07%)	330μs
1 x eloquent.booting: App\Models\SubjectCat (0.06%)	299μs
1 x creating: components.breadcrumbs (0.06%)	288μs
2 x eloquent.retrieved: App\Models\Subject (0.06%)	259μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)	251μs
6 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.05%)	239μs
1 x creating: components.forms.contact-us (0.05%)	225μs
1 x creating: site.headers.header (0.05%)	214μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)	151μs
1 x creating: components.open-graph (0.03%)	143μs
1 x creating: components.forms.get-started (0.03%)	142μs
1 x composing: homework.show (0.03%)	135μs
1 x composing: components.breadcrumbs (0.03%)	132μs
1 x composing: components.forms.contact-us (0.03%)	129μs
1 x creating: components.forms.free-tool-download (0.02%)	85μs
1 x creating: components.forms.claim-free-worksheet (0.02%)	82μs
1 x creating: components.forms.tutor-subscription-waitlist (0.02%)	82μs
1 x composing: components.canonical (0.02%)	77μs
1 x creating: components.forms.tutor-subscription-join (0.02%)	77μs
1 x creating: components.forms.tutor-support (0.02%)	76μs
1 x composing: components.footer (0.02%)	71μs
1 x eloquent.booting: App\Models\Subject (0.02%)	70μs
1 x creating: components.footer (0.02%)	70μs
1 x eloquent.booted: App\Models\Subject (0.01%)	62μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)	61μs
1 x composing: components.open-graph (0.01%)	48μs
1 x composing: components.forms.get-started (0.01%)	47μs
1 x composing: site.headers.header (0.01%)	46μs
1 x composing: components.forms.claim-free-worksheet (0.01%)	45μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	45μs
1 x composing: components.forms.free-tool-download (0.01%)	40μs
1 x composing: components.forms.tutor-support (0.01%)	40μs
1 x composing: components.forms.tutor-subscription-waitlist (0.01%)	39μs
1 x composing: components.forms.tutor-subscription-join (0.01%)	38μs
1 x composing: site.layouts.app (0%)	18μs

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 duplicated56.57ms

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` = '62568' limit 1

26.26mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 62568
Backtrace	16. app/Http/Controllers/HomeworkLibraryController.php:97 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `subjects` where `subjects`.`id` in (10)

1.16mstwenty4_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 (62568)

1.24mstwenty4_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

1.47mstwenty4_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` <> 62568 and `subject` = 10 and `status` = 'published' and `price` > 0 order by RAND() limit 6

7.53mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 62568 1: 10 2: published 3: 0
Backtrace	14. app/Repositories/HomeworkLibraryRepository.php:30 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 18. app/Repositories/HomeworkLibraryRepository.php:39 19. app/Http/Controllers/HomeworkLibraryController.php:139

select * from `subjects` where `subjects`.`id` in (10)

1.19mstwenty4_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` = 62568 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.82mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 62568 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` = 62568 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.25mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 62568 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` = 62568 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.08mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 62568 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

1.26mstwenty4_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

1.39mstwenty4_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

1.02mstwenty4_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

1.07mstwenty4_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

1.24mstwenty4_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

1.27mstwenty4_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

1.1mstwenty4_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

1.37mstwenty4_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

1.57mstwenty4_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

1.14mstwenty4_siteSubject.php#100

Bindings	0: 31
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

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

1.14mstwenty4_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\HomeworkLibrary: 7HomeworkLibrary.php
App\Models\HomeworkLibrary\HomeworkLibraryFile: 6HomeworkLibraryFile.php
App\Models\Subject: 2Subject.php

_token: TUqDDp7BbkmujpLsorBJPU8PVxixRoNMOYb94Zou
utm_source: direct
redirectUrl: /college-homework-library/Mathematics/Differential-Equations/62568
_previous: array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Dif...
_flash: array:2 [ "old" => [] "new" => [] ]
PHPDEBUGBAR_STACK_DATA: []

path_info

/college-homework-library/Mathematics/Differential-Equations/62568

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=1-680c8d64-374d174e55e3733748753aaa"
  ]
  "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 => "18.118.145.9"
  ]
  "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 => "Sat, 26 Apr 2025 07:38:13 GMT"
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6Imx4alVDSDhTNlhaM2ZCakg0MzVEamc9PSIsInZhbHVlIjoiUE1pQSsxTmw3Mjl6bnAzMDdPNlQ0U2ZFOWs5NHBQbWFqc3JwMEVXWXRTc09LMlZ5bnU5bURzMXc4VlBxZlpGU0p0RWFQb1lmN0s2Szd6MmpKK3RnU1FCT2lzWU1LY253cncwempqMmtZekg1Q0swZCtMeEdKYUdqTkRkNUd0K1AiLCJtYWMiOiJiMWU2NmQzMmI2YmI4ODY5Mzc3MWRhZjAxZWFhZTA5OGFkYzBhNDY1MzIxODFjZjFhYTMzMTVlMTI0MjhlZjc5IiwidGFnIjoiIn0%3D; expires=Sat, 26 Apr 2025 09:38:13 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=lax ◀XSRF-TOKEN=eyJpdiI6Imx4alVDSDhTNlhaM2ZCakg0MzVEamc9PSIsInZhbHVlIjoiUE1pQSsxTmw3Mjl6bnAzMDdPNlQ0U2ZFOWs5NHBQbWFqc3JwMEVXWXRTc09LMlZ5bnU5bURzMXc4VlBxZlpGU0p0RWFQb ▶"
    1 => "24houranswers_session=eyJpdiI6IjFaOTdTUWU4STV4V3pBZC9vYXRTbkE9PSIsInZhbHVlIjoiQkxtN2UzVFd1TFdIR2xpeXVwMnBDL3ZrMHNlbXVtS3Rwd20rb0lZVEFZaWxhbzJSNHdXUWRkMGw5cHZFT1JhcnZxbHl2a2tIaW1sdEdqKzVOTnNaQUJlTldGanVvb0k0OE4wWVpoeWtEK0ozVUhaNXBCejJSakJGSVNCWlZkbEEiLCJtYWMiOiI0ZmRjNWQ1NzBiOThjNjZmYmY3YzllMzM5ZGVhMDMyMmY2MDM4NzgwNDM1YmMwOTU3YjRjYjU3YjNiNjRjYmJlIiwidGFnIjoiIn0%3D; expires=Sat, 26 Apr 2025 09:38:13 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax ◀24houranswers_session=eyJpdiI6IjFaOTdTUWU4STV4V3pBZC9vYXRTbkE9PSIsInZhbHVlIjoiQkxtN2UzVFd1TFdIR2xpeXVwMnBDL3ZrMHNlbXVtS3Rwd20rb0lZVEFZaWxhbzJSNHdXUWRkMGw5cHZFT1 ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6Imx4alVDSDhTNlhaM2ZCakg0MzVEamc9PSIsInZhbHVlIjoiUE1pQSsxTmw3Mjl6bnAzMDdPNlQ0U2ZFOWs5NHBQbWFqc3JwMEVXWXRTc09LMlZ5bnU5bURzMXc4VlBxZlpGU0p0RWFQb1lmN0s2Szd6MmpKK3RnU1FCT2lzWU1LY253cncwempqMmtZekg1Q0swZCtMeEdKYUdqTkRkNUd0K1AiLCJtYWMiOiJiMWU2NmQzMmI2YmI4ODY5Mzc3MWRhZjAxZWFhZTA5OGFkYzBhNDY1MzIxODFjZjFhYTMzMTVlMTI0MjhlZjc5IiwidGFnIjoiIn0%3D; expires=Sat, 26-Apr-2025 09:38:13 GMT; domain=.24houranswers.com; path=/ ◀XSRF-TOKEN=eyJpdiI6Imx4alVDSDhTNlhaM2ZCakg0MzVEamc9PSIsInZhbHVlIjoiUE1pQSsxTmw3Mjl6bnAzMDdPNlQ0U2ZFOWs5NHBQbWFqc3JwMEVXWXRTc09LMlZ5bnU5bURzMXc4VlBxZlpGU0p0RWFQb ▶"
    1 => "24houranswers_session=eyJpdiI6IjFaOTdTUWU4STV4V3pBZC9vYXRTbkE9PSIsInZhbHVlIjoiQkxtN2UzVFd1TFdIR2xpeXVwMnBDL3ZrMHNlbXVtS3Rwd20rb0lZVEFZaWxhbzJSNHdXUWRkMGw5cHZFT1JhcnZxbHl2a2tIaW1sdEdqKzVOTnNaQUJlTldGanVvb0k0OE4wWVpoeWtEK0ozVUhaNXBCejJSakJGSVNCWlZkbEEiLCJtYWMiOiI0ZmRjNWQ1NzBiOThjNjZmYmY3YzllMzM5ZGVhMDMyMmY2MDM4NzgwNDM1YmMwOTU3YjRjYjU3YjNiNjRjYmJlIiwidGFnIjoiIn0%3D; expires=Sat, 26-Apr-2025 09:38:13 GMT; domain=.24houranswers.com; path=/; httponly ◀24houranswers_session=eyJpdiI6IjFaOTdTUWU4STV4V3pBZC9vYXRTbkE9PSIsInZhbHVlIjoiQkxtN2UzVFd1TFdIR2xpeXVwMnBDL3ZrMHNlbXVtS3Rwd20rb0lZVEFZaWxhbzJSNHdXUWRkMGw5cHZFT1 ▶"
  ]
]

session_attributes

  0 of 0   
array:6 [▼
  "_token" => "TUqDDp7BbkmujpLsorBJPU8PVxixRoNMOYb94Zou"
  "utm_source" => "direct"
  "redirectUrl" => "/college-homework-library/Mathematics/Differential-Equations/62568"
  "_previous" => array:1 [▶
    "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Differential-Equations/62568"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]

#2 Let eᴬᵗ be the exponential matrix for the System x' = Ax. Show t...

Similar Homework Solutions

1 x Booting (59.89%)	276ms
1 x Application (40.11%)	185ms