Answered: 4. The Bernoulli numbers Bk are defined b... |24HA

Messages Timeline Exceptions Events445 Views14 Route Queries20 Models32 Livewire0 Mails Gate Session Request

8.1.0432ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (271ms)time
Application (161ms)time
1 x Booting (62.65%)
271ms
1 x Application (37.34%)
161ms

Illuminate\Routing\Events\Routing (1.33ms)
Illuminate\Routing\Events\RouteMatched (570μs)
Illuminate\Foundation\Events\LocaleUpdated (4.33ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (168μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (166μs)
Illuminate\Database\Events\ConnectionEstablished (856μs)
Illuminate\Database\Events\StatementPrepared (12.62ms)
Illuminate\Database\Events\QueryExecuted (1.11ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (86μs)
eloquent.booting: App\Models\Subject (52μs)
eloquent.booted: App\Models\Subject (38μs)
Illuminate\Database\Events\StatementPrepared (1.55ms)
Illuminate\Database\Events\QueryExecuted (920μs)
eloquent.retrieved: App\Models\Subject (104μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (116μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (42μs)
Illuminate\Database\Events\StatementPrepared (885μs)
Illuminate\Database\Events\QueryExecuted (1.36ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (105μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (19μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (13μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.booting: App\Models\SubjectCat (323μs)
eloquent.booted: App\Models\SubjectCat (64μs)
Illuminate\Database\Events\StatementPrepared (857μs)
Illuminate\Database\Events\QueryExecuted (971μs)
eloquent.retrieved: App\Models\SubjectCat (94μs)
Illuminate\Cache\Events\CacheHit (11.08ms)
Illuminate\Cache\Events\CacheMissed (223μs)
Illuminate\Database\Events\StatementPrepared (1.06ms)
Illuminate\Database\Events\QueryExecuted (4.29ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (290μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (18μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (5μs)
Illuminate\Database\Events\StatementPrepared (792μs)
Illuminate\Database\Events\QueryExecuted (902μs)
eloquent.retrieved: App\Models\Subject (112μs)
Illuminate\Cache\Events\KeyWritten (692μs)
Illuminate\Database\Events\StatementPrepared (1.37ms)
Illuminate\Database\Events\QueryExecuted (1.24ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (54μs)
Illuminate\Database\Events\StatementPrepared (967μs)
Illuminate\Database\Events\QueryExecuted (1.07ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (43μs)
Illuminate\Database\Events\StatementPrepared (861μs)
Illuminate\Database\Events\QueryExecuted (1.15ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (49μs)
Illuminate\Cache\Events\CacheHit (355μs)
creating: homework.show (189μs)
composing: homework.show (74μs)
creating: components.breadcrumbs (199μs)
composing: components.breadcrumbs (87μs)
Illuminate\Database\Events\StatementPrepared (1.1ms)
Illuminate\Database\Events\QueryExecuted (961μs)
eloquent.retrieved: App\Models\SubjectCat (72μs)
Illuminate\Cache\Events\CacheMissed (2.28ms)
Illuminate\Database\Events\StatementPrepared (775μs)
Illuminate\Database\Events\QueryExecuted (908μs)
eloquent.retrieved: App\Models\SubjectCat (68μs)
Illuminate\Cache\Events\KeyWritten (355μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (841μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheMissed (1.87ms)
Illuminate\Database\Events\StatementPrepared (689μs)
Illuminate\Database\Events\QueryExecuted (953μs)
eloquent.retrieved: App\Models\SubjectCat (62μs)
Illuminate\Cache\Events\KeyWritten (468μs)
Illuminate\Cache\Events\CacheHit (231μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (281μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheMissed (135μs)
Illuminate\Database\Events\StatementPrepared (1.28ms)
Illuminate\Database\Events\QueryExecuted (930μs)
eloquent.retrieved: App\Models\SubjectCat (70μs)
Illuminate\Cache\Events\KeyWritten (300μs)
Illuminate\Cache\Events\CacheHit (1.21ms)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (149μs)
Illuminate\Cache\Events\CacheHit (140μs)
Illuminate\Cache\Events\CacheHit (239μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (140μs)
Illuminate\Cache\Events\CacheHit (144μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (133μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (229μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheMissed (133μs)
Illuminate\Database\Events\StatementPrepared (905μs)
Illuminate\Database\Events\QueryExecuted (876μs)
eloquent.retrieved: App\Models\SubjectCat (70μs)
Illuminate\Cache\Events\KeyWritten (304μs)
Illuminate\Cache\Events\CacheHit (1.35ms)
Illuminate\Cache\Events\CacheHit (222μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (147μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (329μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (133μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (298μs)
Illuminate\Cache\Events\CacheHit (140μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheMissed (204μs)
Illuminate\Database\Events\StatementPrepared (891μs)
Illuminate\Database\Events\QueryExecuted (1.19ms)
eloquent.retrieved: App\Models\SubjectCat (387μs)
Illuminate\Cache\Events\KeyWritten (1.36ms)
Illuminate\Cache\Events\CacheHit (227μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (248μs)
Illuminate\Cache\Events\CacheMissed (165μs)
Illuminate\Database\Events\StatementPrepared (721μs)
Illuminate\Database\Events\QueryExecuted (3.05ms)
eloquent.retrieved: App\Models\SubjectCat (107μs)
Illuminate\Cache\Events\KeyWritten (332μs)
Illuminate\Cache\Events\CacheHit (236μs)
Illuminate\Cache\Events\CacheHit (308μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (410μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (931μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (237μs)
Illuminate\Cache\Events\CacheHit (134μs)
Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheHit (229μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (259μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheMissed (203μs)
Illuminate\Database\Events\StatementPrepared (807μs)
Illuminate\Database\Events\QueryExecuted (1.05ms)
eloquent.retrieved: App\Models\SubjectCat (96μs)
Illuminate\Cache\Events\KeyWritten (311μs)
Illuminate\Cache\Events\CacheHit (380μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (289μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (138μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheMissed (259μs)
Illuminate\Database\Events\StatementPrepared (903μs)
Illuminate\Database\Events\QueryExecuted (997μs)
eloquent.retrieved: App\Models\SubjectCat (98μs)
Illuminate\Cache\Events\KeyWritten (342μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (234μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (149μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (319μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (957μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (222μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (249μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (301μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheMissed (155μs)
Illuminate\Database\Events\StatementPrepared (697μs)
Illuminate\Database\Events\QueryExecuted (1.07ms)
eloquent.retrieved: App\Models\SubjectCat (91μs)
Illuminate\Cache\Events\KeyWritten (316μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (168μs)
creating: site.layouts.app (504μs)
composing: site.layouts.app (21μs)
creating: components.canonical (349μs)
composing: components.canonical (82μs)
creating: components.open-graph (164μs)
composing: components.open-graph (76μs)
creating: site.headers.header (242μs)
composing: site.headers.header (78μs)
Illuminate\Cache\Events\CacheHit (2.42ms)
creating: components.footer (83μs)
composing: components.footer (104μs)
Illuminate\Cache\Events\CacheHit (865μs)
Illuminate\Cache\Events\CacheMissed (197μs)
Illuminate\Database\Events\StatementPrepared (828μs)
Illuminate\Database\Events\QueryExecuted (940μs)
eloquent.retrieved: App\Models\SubjectCat (70μs)
Illuminate\Cache\Events\KeyWritten (1.47ms)
Illuminate\Cache\Events\CacheHit (303μs)
Illuminate\Cache\Events\CacheHit (149μs)
Illuminate\Cache\Events\CacheHit (144μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (399μs)
Illuminate\Cache\Events\CacheHit (1.36ms)
Illuminate\Cache\Events\CacheHit (151μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (1.55ms)
Illuminate\Cache\Events\CacheHit (246μs)
creating: components.forms.contact-us (229μs)
composing: components.forms.contact-us (170μs)
creating: components.forms.get-started (142μs)
composing: components.forms.get-started (71μs)
creating: components.forms.free-tool-download (107μs)
composing: components.forms.free-tool-download (69μs)
creating: components.forms.claim-free-worksheet (103μs)
composing: components.forms.claim-free-worksheet (69μs)
creating: components.forms.tutor-subscription-waitlist (102μs)
composing: components.forms.tutor-subscription-waitlist (62μs)
creating: components.forms.tutor-subscription-join (93μs)
composing: components.forms.tutor-subscription-join (61μs)
creating: components.forms.tutor-support (95μs)
composing: components.forms.tutor-support (62μs)

311 x Illuminate\Cache\Events\CacheHit (17.01%)	73.51ms
20 x Illuminate\Database\Events\StatementPrepared (7.07%)	30.57ms
20 x Illuminate\Database\Events\QueryExecuted (6%)	25.93ms
11 x Illuminate\Cache\Events\KeyWritten (1.45%)	6.25ms
11 x Illuminate\Cache\Events\CacheMissed (1.35%)	5.82ms
1 x Illuminate\Foundation\Events\LocaleUpdated (1%)	4.33ms
1 x Illuminate\Routing\Events\Routing (0.31%)	1.33ms
12 x eloquent.retrieved: App\Models\SubjectCat (0.3%)	1.29ms
1 x Illuminate\Database\Events\ConnectionEstablished (0.2%)	856μs
1 x Illuminate\Routing\Events\RouteMatched (0.13%)	570μs
1 x creating: site.layouts.app (0.12%)	504μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.1%)	421μs
1 x creating: components.canonical (0.08%)	349μs
11 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.08%)	325μs
1 x eloquent.booting: App\Models\SubjectCat (0.07%)	323μs
1 x creating: site.headers.header (0.06%)	242μs
1 x creating: components.forms.contact-us (0.05%)	229μs
2 x eloquent.retrieved: App\Models\Subject (0.05%)	216μs
1 x creating: components.breadcrumbs (0.05%)	199μs
1 x creating: homework.show (0.04%)	189μs
1 x composing: components.forms.contact-us (0.04%)	170μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	168μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	166μs
1 x creating: components.open-graph (0.04%)	164μs
1 x creating: components.forms.get-started (0.03%)	142μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)	116μs
1 x creating: components.forms.free-tool-download (0.02%)	107μs
1 x composing: components.footer (0.02%)	104μs
1 x creating: components.forms.claim-free-worksheet (0.02%)	103μs
1 x creating: components.forms.tutor-subscription-waitlist (0.02%)	102μs
1 x creating: components.forms.tutor-support (0.02%)	95μs
1 x creating: components.forms.tutor-subscription-join (0.02%)	93μs
1 x composing: components.breadcrumbs (0.02%)	87μs
1 x creating: components.footer (0.02%)	83μs
1 x composing: components.canonical (0.02%)	82μs
1 x composing: site.headers.header (0.02%)	78μs
1 x composing: components.open-graph (0.02%)	76μs
1 x composing: homework.show (0.02%)	74μs
1 x composing: components.forms.get-started (0.02%)	71μs
1 x composing: components.forms.free-tool-download (0.02%)	69μs
1 x composing: components.forms.claim-free-worksheet (0.02%)	69μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	64μs
1 x composing: components.forms.tutor-subscription-waitlist (0.01%)	62μs
1 x composing: components.forms.tutor-support (0.01%)	62μs
1 x composing: components.forms.tutor-subscription-join (0.01%)	61μs
1 x eloquent.booting: App\Models\Subject (0.01%)	52μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)	42μs
1 x eloquent.booted: App\Models\Subject (0.01%)	38μs
1 x composing: site.layouts.app (0%)	21μs

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 duplicated43.43ms

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` = '63382' limit 1

13.03mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 63382
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 (123)

1.22mstwenty4_siteHomeworkLibraryController.php#97

Backtrace

21. app/Http/Controllers/HomeworkLibraryController.php:97
22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (63382)

1.59mstwenty4_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

1.26mstwenty4_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` <> 63382 and `subject` = 123 and `status` = 'published' and `price` > 0 order by RAND() limit 6

4.68mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 63382 1: 123 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 (123)

1.16mstwenty4_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` = 63382 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.3mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 63382 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` = 63382 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.29mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 63382 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` = 63382 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.37mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 63382 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

1.22mstwenty4_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

1.28mstwenty4_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

1.13mstwenty4_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

1.82mstwenty4_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

1.39mstwenty4_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

1.53mstwenty4_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

3.24mstwenty4_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

1.26mstwenty4_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

1.34mstwenty4_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

1.09mstwenty4_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

1.23mstwenty4_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: 11HomeworkLibraryFile.php
App\Models\HomeworkLibrary\HomeworkLibrary: 7HomeworkLibrary.php
App\Models\Subject: 2Subject.php

_token: rh9WztIEVFZvK76yrZz83MxYE6RTfsHq6ham4mAq
utm_source: direct
redirectUrl: /college-homework-library/Mathematics/Complex-Analysis/63382
_previous: array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Com...
_flash: array:2 [ "old" => [] "new" => [] ]
PHPDEBUGBAR_STACK_DATA: []

path_info

/college-homework-library/Mathematics/Complex-Analysis/63382

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=1-680972ae-31d2332b14f93ed94c311437"
  ]
  "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 => "3.19.60.207"
  ]
  "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, 23 Apr 2025 23:07:26 GMT"
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6ImV4QlJIL1U3WWpsUUloVmVnVGZMM0E9PSIsInZhbHVlIjoiSWVLL3kyb0RpR1JLb0x0T1BoU1NDZ3ljNkFmbUE2RnNyMHhtNDNma2NvZE1pVEczQm9OYW1QcGxJSnhJMUEwUmh0TEdIOENCbiszMmxIWEkyZytKYkllWjVRTThzeUdFVWxETmVTTmk2SDViZEtIN0tzUHc4aWNRL1VJMEpBUnQiLCJtYWMiOiJjOTBkMDUwYjExOTliOTJmZTFjM2M4ZWQzMTcwN2ZkNTAyMGJmZWQyYzUzNzcyMmM4YzJiOWEzZjVlNDAzYmIzIiwidGFnIjoiIn0%3D; expires=Thu, 24 Apr 2025 01:07:26 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=lax ◀XSRF-TOKEN=eyJpdiI6ImV4QlJIL1U3WWpsUUloVmVnVGZMM0E9PSIsInZhbHVlIjoiSWVLL3kyb0RpR1JLb0x0T1BoU1NDZ3ljNkFmbUE2RnNyMHhtNDNma2NvZE1pVEczQm9OYW1QcGxJSnhJMUEwUmh0TEdIO ▶"
    1 => "24houranswers_session=eyJpdiI6ImFOcFY2ZkF0Mmtib0JteE1XU1Qzcmc9PSIsInZhbHVlIjoiMmhaQXYwQmxxb2RJc0ZFWkZlcGRQL05rUGNzY2tFSzVsWURnbVJvMzNwSDNVU3NxOGs5TTBWQ2NiSlU0cHplL0gxM0VvMEp0U0pHMDJvanJyYi90bHRlZk5VSklHZ28zSEgweHlPcmdET3UzUkkzQUdXcmtpOUE2K3orQ3hvZmgiLCJtYWMiOiI1ZWYwNTRiMjAyYjM4ZmI1OGNhMGI0MDFkZThlYjk5YmE3Y2JiNmFmMzIwODAzMTk1YTI1NmUyNmRjYzljYjJhIiwidGFnIjoiIn0%3D; expires=Thu, 24 Apr 2025 01:07:26 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax ◀24houranswers_session=eyJpdiI6ImFOcFY2ZkF0Mmtib0JteE1XU1Qzcmc9PSIsInZhbHVlIjoiMmhaQXYwQmxxb2RJc0ZFWkZlcGRQL05rUGNzY2tFSzVsWURnbVJvMzNwSDNVU3NxOGs5TTBWQ2NiSlU0cH ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6ImV4QlJIL1U3WWpsUUloVmVnVGZMM0E9PSIsInZhbHVlIjoiSWVLL3kyb0RpR1JLb0x0T1BoU1NDZ3ljNkFmbUE2RnNyMHhtNDNma2NvZE1pVEczQm9OYW1QcGxJSnhJMUEwUmh0TEdIOENCbiszMmxIWEkyZytKYkllWjVRTThzeUdFVWxETmVTTmk2SDViZEtIN0tzUHc4aWNRL1VJMEpBUnQiLCJtYWMiOiJjOTBkMDUwYjExOTliOTJmZTFjM2M4ZWQzMTcwN2ZkNTAyMGJmZWQyYzUzNzcyMmM4YzJiOWEzZjVlNDAzYmIzIiwidGFnIjoiIn0%3D; expires=Thu, 24-Apr-2025 01:07:26 GMT; domain=.24houranswers.com; path=/ ◀XSRF-TOKEN=eyJpdiI6ImV4QlJIL1U3WWpsUUloVmVnVGZMM0E9PSIsInZhbHVlIjoiSWVLL3kyb0RpR1JLb0x0T1BoU1NDZ3ljNkFmbUE2RnNyMHhtNDNma2NvZE1pVEczQm9OYW1QcGxJSnhJMUEwUmh0TEdIO ▶"
    1 => "24houranswers_session=eyJpdiI6ImFOcFY2ZkF0Mmtib0JteE1XU1Qzcmc9PSIsInZhbHVlIjoiMmhaQXYwQmxxb2RJc0ZFWkZlcGRQL05rUGNzY2tFSzVsWURnbVJvMzNwSDNVU3NxOGs5TTBWQ2NiSlU0cHplL0gxM0VvMEp0U0pHMDJvanJyYi90bHRlZk5VSklHZ28zSEgweHlPcmdET3UzUkkzQUdXcmtpOUE2K3orQ3hvZmgiLCJtYWMiOiI1ZWYwNTRiMjAyYjM4ZmI1OGNhMGI0MDFkZThlYjk5YmE3Y2JiNmFmMzIwODAzMTk1YTI1NmUyNmRjYzljYjJhIiwidGFnIjoiIn0%3D; expires=Thu, 24-Apr-2025 01:07:26 GMT; domain=.24houranswers.com; path=/; httponly ◀24houranswers_session=eyJpdiI6ImFOcFY2ZkF0Mmtib0JteE1XU1Qzcmc9PSIsInZhbHVlIjoiMmhaQXYwQmxxb2RJc0ZFWkZlcGRQL05rUGNzY2tFSzVsWURnbVJvMzNwSDNVU3NxOGs5TTBWQ2NiSlU0cH ▶"
  ]
]

session_attributes

  0 of 0   
array:6 [▼
  "_token" => "rh9WztIEVFZvK76yrZz83MxYE6RTfsHq6ham4mAq"
  "utm_source" => "direct"
  "redirectUrl" => "/college-homework-library/Mathematics/Complex-Analysis/63382"
  "_previous" => array:1 [▶
    "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Complex-Analysis/63382"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]

4. The Bernoulli numbers Bk are defined by 80 e* 1 1 = 2 1 2 1 +...

Similar Homework Solutions

1 x Booting (62.65%)	271ms
1 x Application (37.34%)	161ms