Answered: (11a) Define g: Z -> Z by the rule... |24HA

Messages Timeline Exceptions Events439 Views14 Route Queries20 Models26 Livewire0 Mails Gate Session Request

8.1.0458ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (275ms)time
Application (183ms)time
1 x Booting (60.12%)
275ms
1 x Application (39.88%)
183ms

Illuminate\Routing\Events\Routing (1.38ms)
Illuminate\Routing\Events\RouteMatched (543μs)
Illuminate\Foundation\Events\LocaleUpdated (6.65ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (203μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (167μs)
Illuminate\Database\Events\ConnectionEstablished (880μs)
Illuminate\Database\Events\StatementPrepared (19.62ms)
Illuminate\Database\Events\QueryExecuted (1.15ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (134μs)
eloquent.booting: App\Models\Subject (101μs)
eloquent.booted: App\Models\Subject (42μs)
Illuminate\Database\Events\StatementPrepared (2.88ms)
Illuminate\Database\Events\QueryExecuted (1.09ms)
eloquent.retrieved: App\Models\Subject (109μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (91μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (45μs)
Illuminate\Database\Events\StatementPrepared (671μs)
Illuminate\Database\Events\QueryExecuted (4.98ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (124μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (23μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (20μs)
eloquent.booting: App\Models\SubjectCat (369μs)
eloquent.booted: App\Models\SubjectCat (61μs)
Illuminate\Database\Events\StatementPrepared (797μs)
Illuminate\Database\Events\QueryExecuted (1.34ms)
eloquent.retrieved: App\Models\SubjectCat (137μs)
Illuminate\Cache\Events\CacheHit (14.93ms)
Illuminate\Cache\Events\CacheMissed (942μs)
Illuminate\Database\Events\StatementPrepared (818μs)
Illuminate\Database\Events\QueryExecuted (7.72ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (4.2ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (24μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (10μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (9μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (7μs)
Illuminate\Database\Events\StatementPrepared (806μs)
Illuminate\Database\Events\QueryExecuted (912μs)
eloquent.retrieved: App\Models\Subject (99μs)
Illuminate\Cache\Events\KeyWritten (928μs)
Illuminate\Database\Events\StatementPrepared (1.35ms)
Illuminate\Database\Events\QueryExecuted (1.37ms)
Illuminate\Database\Events\StatementPrepared (665μs)
Illuminate\Database\Events\QueryExecuted (949μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (60μs)
Illuminate\Database\Events\StatementPrepared (917μs)
Illuminate\Database\Events\QueryExecuted (1.07ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (51μs)
Illuminate\Cache\Events\CacheHit (377μs)
creating: homework.show (212μs)
composing: homework.show (83μs)
creating: components.breadcrumbs (215μs)
composing: components.breadcrumbs (90μs)
Illuminate\Database\Events\StatementPrepared (1.1ms)
Illuminate\Database\Events\QueryExecuted (1.19ms)
eloquent.retrieved: App\Models\SubjectCat (106μs)
Illuminate\Cache\Events\CacheMissed (3.65ms)
Illuminate\Database\Events\StatementPrepared (679μs)
Illuminate\Database\Events\QueryExecuted (830μs)
eloquent.retrieved: App\Models\SubjectCat (68μs)
Illuminate\Cache\Events\KeyWritten (1.3ms)
Illuminate\Cache\Events\CacheHit (302μs)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (344μs)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheMissed (188μs)
Illuminate\Database\Events\StatementPrepared (762μs)
Illuminate\Database\Events\QueryExecuted (1.21ms)
eloquent.retrieved: App\Models\SubjectCat (104μs)
Illuminate\Cache\Events\KeyWritten (557μs)
Illuminate\Cache\Events\CacheHit (1.53ms)
Illuminate\Cache\Events\CacheHit (282μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheMissed (161μs)
Illuminate\Database\Events\StatementPrepared (762μs)
Illuminate\Database\Events\QueryExecuted (1.02ms)
eloquent.retrieved: App\Models\SubjectCat (75μs)
Illuminate\Cache\Events\KeyWritten (305μs)
Illuminate\Cache\Events\CacheHit (1.14ms)
Illuminate\Cache\Events\CacheHit (230μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (223μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (377μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (241μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (215μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheMissed (2.35ms)
Illuminate\Database\Events\StatementPrepared (719μs)
Illuminate\Database\Events\QueryExecuted (1.28ms)
eloquent.retrieved: App\Models\SubjectCat (95μs)
Illuminate\Cache\Events\KeyWritten (355μs)
Illuminate\Cache\Events\CacheHit (207μs)
Illuminate\Cache\Events\CacheHit (239μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (220μs)
Illuminate\Cache\Events\CacheHit (237μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (312μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (274μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheMissed (216μs)
Illuminate\Database\Events\StatementPrepared (661μs)
Illuminate\Database\Events\QueryExecuted (948μs)
eloquent.retrieved: App\Models\SubjectCat (118μs)
Illuminate\Cache\Events\KeyWritten (303μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (171μs)
Illuminate\Cache\Events\CacheHit (144μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (420μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheMissed (195μs)
Illuminate\Database\Events\StatementPrepared (605μs)
Illuminate\Database\Events\QueryExecuted (850μs)
eloquent.retrieved: App\Models\SubjectCat (124μs)
Illuminate\Cache\Events\KeyWritten (388μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (217μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (350μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (896μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (244μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (147μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheMissed (218μs)
Illuminate\Database\Events\StatementPrepared (639μs)
Illuminate\Database\Events\QueryExecuted (815μs)
eloquent.retrieved: App\Models\SubjectCat (77μs)
Illuminate\Cache\Events\KeyWritten (853μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheHit (223μs)
Illuminate\Cache\Events\CacheHit (147μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (96μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (96μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (144μs)
Illuminate\Cache\Events\CacheHit (148μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (140μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheMissed (188μs)
Illuminate\Database\Events\StatementPrepared (1.17ms)
Illuminate\Database\Events\QueryExecuted (841μs)
eloquent.retrieved: App\Models\SubjectCat (78μs)
Illuminate\Cache\Events\KeyWritten (316μs)
Illuminate\Cache\Events\CacheHit (1.33ms)
Illuminate\Cache\Events\CacheHit (231μs)
Illuminate\Cache\Events\CacheHit (138μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (149μs)
Illuminate\Cache\Events\CacheHit (343μs)
Illuminate\Cache\Events\CacheHit (138μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (138μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (650μs)
Illuminate\Cache\Events\CacheHit (236μs)
Illuminate\Cache\Events\CacheHit (148μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (150μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (140μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (134μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (147μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (143μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheMissed (171μs)
Illuminate\Database\Events\StatementPrepared (620μs)
Illuminate\Database\Events\QueryExecuted (1.22ms)
eloquent.retrieved: App\Models\SubjectCat (81μs)
Illuminate\Cache\Events\KeyWritten (300μs)
Illuminate\Cache\Events\CacheHit (1.11ms)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (314μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (100μs)
creating: site.layouts.app (360μs)
composing: site.layouts.app (17μs)
creating: components.canonical (382μs)
composing: components.canonical (77μs)
creating: components.open-graph (140μs)
composing: components.open-graph (48μs)
creating: site.headers.header (213μs)
composing: site.headers.header (48μs)
Illuminate\Cache\Events\CacheHit (1.3ms)
creating: components.footer (72μs)
composing: components.footer (71μs)
Illuminate\Cache\Events\CacheHit (636μs)
Illuminate\Cache\Events\CacheMissed (331μs)
Illuminate\Database\Events\StatementPrepared (817μs)
Illuminate\Database\Events\QueryExecuted (1.43ms)
eloquent.retrieved: App\Models\SubjectCat (79μs)
Illuminate\Cache\Events\KeyWritten (1.72ms)
Illuminate\Cache\Events\CacheHit (364μs)
Illuminate\Cache\Events\CacheHit (252μs)
Illuminate\Cache\Events\CacheHit (225μs)
Illuminate\Cache\Events\CacheHit (249μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (330μs)
Illuminate\Cache\Events\CacheHit (444μs)
Illuminate\Cache\Events\CacheHit (245μs)
Illuminate\Cache\Events\CacheHit (242μs)
Illuminate\Cache\Events\CacheHit (234μs)
Illuminate\Cache\Events\CacheHit (244μs)
Illuminate\Cache\Events\CacheHit (235μs)
creating: components.forms.contact-us (224μs)
composing: components.forms.contact-us (163μs)
creating: components.forms.get-started (265μs)
composing: components.forms.get-started (79μs)
creating: components.forms.free-tool-download (137μs)
composing: components.forms.free-tool-download (73μs)
creating: components.forms.claim-free-worksheet (107μs)
composing: components.forms.claim-free-worksheet (66μs)
creating: components.forms.tutor-subscription-waitlist (99μs)
composing: components.forms.tutor-subscription-waitlist (67μs)
creating: components.forms.tutor-subscription-join (101μs)
composing: components.forms.tutor-subscription-join (67μs)
creating: components.forms.tutor-support (103μs)
composing: components.forms.tutor-support (70μs)

311 x Illuminate\Cache\Events\CacheHit (15.77%)	72.21ms
20 x Illuminate\Database\Events\StatementPrepared (8.1%)	37.07ms
20 x Illuminate\Database\Events\QueryExecuted (7.04%)	32.22ms
11 x Illuminate\Cache\Events\CacheMissed (1.88%)	8.60ms
11 x Illuminate\Cache\Events\KeyWritten (1.6%)	7.32ms
1 x Illuminate\Foundation\Events\LocaleUpdated (1.45%)	6.65ms
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.96%)	4.39ms
1 x Illuminate\Routing\Events\Routing (0.3%)	1.38ms
12 x eloquent.retrieved: App\Models\SubjectCat (0.25%)	1.14ms
1 x Illuminate\Database\Events\ConnectionEstablished (0.19%)	880μs
1 x Illuminate\Routing\Events\RouteMatched (0.12%)	543μs
1 x creating: components.canonical (0.08%)	382μs
1 x eloquent.booting: App\Models\SubjectCat (0.08%)	369μs
1 x creating: site.layouts.app (0.08%)	360μs
5 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.06%)	278μs
1 x creating: components.forms.get-started (0.06%)	265μs
1 x creating: components.forms.contact-us (0.05%)	224μs
1 x creating: components.breadcrumbs (0.05%)	215μs
1 x creating: site.headers.header (0.05%)	213μs
1 x creating: homework.show (0.05%)	212μs
2 x eloquent.retrieved: App\Models\Subject (0.05%)	208μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	203μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	167μs
1 x composing: components.forms.contact-us (0.04%)	163μs
1 x creating: components.open-graph (0.03%)	140μs
1 x creating: components.forms.free-tool-download (0.03%)	137μs
1 x creating: components.forms.claim-free-worksheet (0.02%)	107μs
1 x creating: components.forms.tutor-support (0.02%)	103μs
1 x eloquent.booting: App\Models\Subject (0.02%)	101μs
1 x creating: components.forms.tutor-subscription-join (0.02%)	101μs
1 x creating: components.forms.tutor-subscription-waitlist (0.02%)	99μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)	91μs
1 x composing: components.breadcrumbs (0.02%)	90μs
1 x composing: homework.show (0.02%)	83μs
1 x composing: components.forms.get-started (0.02%)	79μs
1 x composing: components.canonical (0.02%)	77μs
1 x composing: components.forms.free-tool-download (0.02%)	73μs
1 x creating: components.footer (0.02%)	72μs
1 x composing: components.footer (0.02%)	71μs
1 x composing: components.forms.tutor-support (0.02%)	70μs
1 x composing: components.forms.tutor-subscription-waitlist (0.01%)	67μs
1 x composing: components.forms.tutor-subscription-join (0.01%)	67μs
1 x composing: components.forms.claim-free-worksheet (0.01%)	66μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	61μs
1 x composing: components.open-graph (0.01%)	48μs
1 x composing: site.headers.header (0.01%)	48μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)	45μs
1 x eloquent.booted: App\Models\Subject (0.01%)	42μs
1 x composing: site.layouts.app (0%)	17μs

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 duplicated54.75ms

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` = '11549' limit 1

20.01mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 11549
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 (15)

2.34mstwenty4_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 (11549)

4.87mstwenty4_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` = 3 limit 1

1.37mstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 3
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` <> 11549 and `subject` = 15 and `status` = 'published' and `price` > 0 order by RAND() limit 6

7.78mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 11549 1: 15 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 (15)

1.08mstwenty4_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` = 11549 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.47mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 11549 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` = 11549 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.07mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 11549 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` = 11549 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.28mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 11549 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` = 3 limit 1

1.18mstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 3
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

1.02mstwenty4_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

1.44mstwenty4_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

1.34mstwenty4_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

1.26mstwenty4_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

1.06mstwenty4_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

930μstwenty4_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

1.04mstwenty4_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

1.6mstwenty4_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

1.4mstwenty4_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

1.21mstwenty4_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: 5HomeworkLibraryFile.php
App\Models\Subject: 2Subject.php

_token: HsnfaKwXeHjHB1p2nX3BeEyq8LTNlWaEQSQB0Q8w
utm_source: direct
redirectUrl: /college-homework-library/Computer-Science/Discrete-Math/11549
_previous: array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Computer-Scienc...
_flash: array:2 [ "old" => [] "new" => [] ]
PHPDEBUGBAR_STACK_DATA: []

path_info

/college-homework-library/Computer-Science/Discrete-Math/11549

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 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99""
  ]
  "cache-control" => array:1 [▶
    0 => "no-cache"
  ]
  "pragma" => array:1 [▶
    0 => "no-cache"
  ]
  "x-amzn-trace-id" => array:1 [▶
    0 => "Root=1-68193259-40bc7b1f15e8dc727a17a195"
  ]
  "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 => "18.217.131.249"
  ]
  "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 => "Mon, 05 May 2025 21:49:14 GMT"
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6InMvOHpYQlltdG1qSDVtaGdNci9XZWc9PSIsInZhbHVlIjoibkpJTHpQeUF6ZDBQNkdVSGlIVDJOL3JrSzZhQTM5UFplcG1ySkQzaXp2K0ZtYjc1WjBwUDZ2WkFybU1kNDc3Q1RkdFlLQzcyUUxoK1ZyekZiS0h1bmxWZWRjZ3FHeXpFT0hGN2pJMUhiMU1xdVZqbkYzN1RUQmNpaFdTWk1sTWYiLCJtYWMiOiJjMzFiYTBlYzAzMzU5MDNlMWYwNzJhMmEwMTk3OTJkOWVkZDQ1NjhlMWMxODU3MGQ0NTkyNjYwNDVlY2Y4ZThkIiwidGFnIjoiIn0%3D; expires=Mon, 05 May 2025 23:49:14 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=lax ◀XSRF-TOKEN=eyJpdiI6InMvOHpYQlltdG1qSDVtaGdNci9XZWc9PSIsInZhbHVlIjoibkpJTHpQeUF6ZDBQNkdVSGlIVDJOL3JrSzZhQTM5UFplcG1ySkQzaXp2K0ZtYjc1WjBwUDZ2WkFybU1kNDc3Q1RkdFlLQ ▶"
    1 => "24houranswers_session=eyJpdiI6IlNlNi9HeDBJMGhRYWdQV1lobnJSK0E9PSIsInZhbHVlIjoidzBWU3lMa1NIZjZQd2Q1T240WUJlZ2NEb3g0NjZ0ZkJab0g4V1NKSVBmNkRBZTVLbzV0dGI3UlZ1eU50N0w0WXI4Z2IvcmVONXgyZVNMQTJxc0U3WkYyN0RkUERFR1BuWUNKMmZ6dE0waEtQeUtuNHZFNDdZSW1ibGJzb0dFemciLCJtYWMiOiIwMmQ4YWYyYjQzYjlhNjlhZTRkM2JiNDBmYjRkZGVmNzJlNjQwMmM0ZGE3MmUwNjUyYzk2NWQ0MzVhYjY4MDFmIiwidGFnIjoiIn0%3D; expires=Mon, 05 May 2025 23:49:14 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax ◀24houranswers_session=eyJpdiI6IlNlNi9HeDBJMGhRYWdQV1lobnJSK0E9PSIsInZhbHVlIjoidzBWU3lMa1NIZjZQd2Q1T240WUJlZ2NEb3g0NjZ0ZkJab0g4V1NKSVBmNkRBZTVLbzV0dGI3UlZ1eU50N0 ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6InMvOHpYQlltdG1qSDVtaGdNci9XZWc9PSIsInZhbHVlIjoibkpJTHpQeUF6ZDBQNkdVSGlIVDJOL3JrSzZhQTM5UFplcG1ySkQzaXp2K0ZtYjc1WjBwUDZ2WkFybU1kNDc3Q1RkdFlLQzcyUUxoK1ZyekZiS0h1bmxWZWRjZ3FHeXpFT0hGN2pJMUhiMU1xdVZqbkYzN1RUQmNpaFdTWk1sTWYiLCJtYWMiOiJjMzFiYTBlYzAzMzU5MDNlMWYwNzJhMmEwMTk3OTJkOWVkZDQ1NjhlMWMxODU3MGQ0NTkyNjYwNDVlY2Y4ZThkIiwidGFnIjoiIn0%3D; expires=Mon, 05-May-2025 23:49:14 GMT; domain=.24houranswers.com; path=/ ◀XSRF-TOKEN=eyJpdiI6InMvOHpYQlltdG1qSDVtaGdNci9XZWc9PSIsInZhbHVlIjoibkpJTHpQeUF6ZDBQNkdVSGlIVDJOL3JrSzZhQTM5UFplcG1ySkQzaXp2K0ZtYjc1WjBwUDZ2WkFybU1kNDc3Q1RkdFlLQ ▶"
    1 => "24houranswers_session=eyJpdiI6IlNlNi9HeDBJMGhRYWdQV1lobnJSK0E9PSIsInZhbHVlIjoidzBWU3lMa1NIZjZQd2Q1T240WUJlZ2NEb3g0NjZ0ZkJab0g4V1NKSVBmNkRBZTVLbzV0dGI3UlZ1eU50N0w0WXI4Z2IvcmVONXgyZVNMQTJxc0U3WkYyN0RkUERFR1BuWUNKMmZ6dE0waEtQeUtuNHZFNDdZSW1ibGJzb0dFemciLCJtYWMiOiIwMmQ4YWYyYjQzYjlhNjlhZTRkM2JiNDBmYjRkZGVmNzJlNjQwMmM0ZGE3MmUwNjUyYzk2NWQ0MzVhYjY4MDFmIiwidGFnIjoiIn0%3D; expires=Mon, 05-May-2025 23:49:14 GMT; domain=.24houranswers.com; path=/; httponly ◀24houranswers_session=eyJpdiI6IlNlNi9HeDBJMGhRYWdQV1lobnJSK0E9PSIsInZhbHVlIjoidzBWU3lMa1NIZjZQd2Q1T240WUJlZ2NEb3g0NjZ0ZkJab0g4V1NKSVBmNkRBZTVLbzV0dGI3UlZ1eU50N0 ▶"
  ]
]

session_attributes

  0 of 0   
array:6 [▼
  "_token" => "HsnfaKwXeHjHB1p2nX3BeEyq8LTNlWaEQSQB0Q8w"
  "utm_source" => "direct"
  "redirectUrl" => "/college-homework-library/Computer-Science/Discrete-Math/11549"
  "_previous" => array:1 [▶
    "url" => "https://staging.dev.24houranswers.com/college-homework-library/Computer-Science/Discrete-Math/11549"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]

(11a) Define g: Z -> Z by the rule g(n) = 4n-5 for all integers...

Similar Homework Solutions

1 x Booting (60.12%)	275ms
1 x Application (39.88%)	183ms

(11a) Define g: Z -&gt; Z by the rule g(n) = 4n-5 for all integers...

Similar Homework Solutions

(11a) Define g: Z -> Z by the rule g(n) = 4n-5 for all integers...