Answered: (4) Show that the Gauss map G: : (0,1) (... |24HA

Messages Timeline Exceptions Events440 Views14 Route Queries19 Models30 Livewire0 Mails Gate Session Request

8.1.0423ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (243ms)time
Application (180ms)time
1 x Booting (57.43%)
243ms
1 x Application (42.57%)
180ms

Illuminate\Routing\Events\Routing (1.06ms)
Illuminate\Routing\Events\RouteMatched (430μs)
Illuminate\Foundation\Events\LocaleUpdated (2.52ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (202μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (179μs)
Illuminate\Database\Events\ConnectionEstablished (887μs)
Illuminate\Database\Events\StatementPrepared (34.62ms)
Illuminate\Database\Events\QueryExecuted (1.11ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (91μs)
eloquent.booting: App\Models\Subject (60μs)
eloquent.booted: App\Models\Subject (40μs)
Illuminate\Database\Events\StatementPrepared (1.34ms)
Illuminate\Database\Events\QueryExecuted (1.25ms)
eloquent.retrieved: App\Models\Subject (107μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (102μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (39μs)
Illuminate\Database\Events\StatementPrepared (684μs)
Illuminate\Database\Events\QueryExecuted (1.65ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (66μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (14μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.booting: App\Models\SubjectCat (296μs)
eloquent.booted: App\Models\SubjectCat (50μs)
Illuminate\Database\Events\StatementPrepared (877μs)
Illuminate\Database\Events\QueryExecuted (876μs)
eloquent.retrieved: App\Models\SubjectCat (124μs)
Illuminate\Cache\Events\CacheHit (10.68ms)
Illuminate\Cache\Events\CacheMissed (216μs)
Illuminate\Database\Events\StatementPrepared (959μs)
Illuminate\Database\Events\QueryExecuted (22.13ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (123μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (22μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (12μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (12μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
Illuminate\Database\Events\StatementPrepared (853μs)
Illuminate\Database\Events\QueryExecuted (867μs)
eloquent.retrieved: App\Models\Subject (199μs)
Illuminate\Cache\Events\KeyWritten (1.09ms)
Illuminate\Database\Events\StatementPrepared (2.11ms)
Illuminate\Database\Events\QueryExecuted (1.27ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (54μs)
Illuminate\Database\Events\StatementPrepared (958μs)
Illuminate\Database\Events\QueryExecuted (1.14ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (52μs)
Illuminate\Database\Events\StatementPrepared (864μs)
Illuminate\Database\Events\QueryExecuted (1.11ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (54μs)
Illuminate\Cache\Events\CacheHit (507μs)
creating: homework.show (253μs)
composing: homework.show (104μs)
creating: components.breadcrumbs (282μs)
composing: components.breadcrumbs (102μs)
Illuminate\Database\Events\StatementPrepared (1.31ms)
Illuminate\Database\Events\QueryExecuted (953μs)
eloquent.retrieved: App\Models\SubjectCat (68μs)
Illuminate\Cache\Events\CacheMissed (2.74ms)
Illuminate\Database\Events\StatementPrepared (702μs)
Illuminate\Database\Events\QueryExecuted (822μs)
eloquent.retrieved: App\Models\SubjectCat (64μs)
Illuminate\Cache\Events\KeyWritten (327μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (151μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (138μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (306μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (221μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheMissed (1.77ms)
Illuminate\Database\Events\StatementPrepared (628μs)
Illuminate\Database\Events\QueryExecuted (1.12ms)
eloquent.retrieved: App\Models\SubjectCat (62μs)
Illuminate\Cache\Events\KeyWritten (1.34ms)
Illuminate\Cache\Events\CacheHit (244μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (147μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheMissed (159μs)
Illuminate\Database\Events\StatementPrepared (612μs)
Illuminate\Database\Events\QueryExecuted (926μs)
eloquent.retrieved: App\Models\SubjectCat (66μs)
Illuminate\Cache\Events\KeyWritten (306μs)
Illuminate\Cache\Events\CacheHit (1.25ms)
Illuminate\Cache\Events\CacheHit (222μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (151μs)
Illuminate\Cache\Events\CacheHit (140μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (133μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (143μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheMissed (214μs)
Illuminate\Database\Events\StatementPrepared (728μs)
Illuminate\Database\Events\QueryExecuted (918μs)
eloquent.retrieved: App\Models\SubjectCat (156μs)
Illuminate\Cache\Events\KeyWritten (1.44ms)
Illuminate\Cache\Events\CacheHit (226μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (138μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (138μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (102μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheMissed (237μs)
Illuminate\Database\Events\StatementPrepared (660μs)
Illuminate\Database\Events\QueryExecuted (908μs)
eloquent.retrieved: App\Models\SubjectCat (77μs)
Illuminate\Cache\Events\KeyWritten (294μs)
Illuminate\Cache\Events\CacheHit (1.1ms)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheMissed (275μs)
Illuminate\Database\Events\StatementPrepared (679μs)
Illuminate\Database\Events\QueryExecuted (986μs)
eloquent.retrieved: App\Models\SubjectCat (67μs)
Illuminate\Cache\Events\KeyWritten (1.19ms)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (140μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (590μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (228μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheMissed (131μs)
Illuminate\Database\Events\StatementPrepared (630μs)
Illuminate\Database\Events\QueryExecuted (753μs)
eloquent.retrieved: App\Models\SubjectCat (60μs)
Illuminate\Cache\Events\KeyWritten (215μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (223μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (149μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (96μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (96μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (134μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (150μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (133μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (96μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheMissed (150μs)
Illuminate\Database\Events\StatementPrepared (791μs)
Illuminate\Database\Events\QueryExecuted (814μs)
eloquent.retrieved: App\Models\SubjectCat (66μs)
Illuminate\Cache\Events\KeyWritten (912μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (148μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (266μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (621μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (134μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (151μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (133μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (218μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (103μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheMissed (133μs)
Illuminate\Database\Events\StatementPrepared (4.69ms)
Illuminate\Database\Events\QueryExecuted (937μs)
eloquent.retrieved: App\Models\SubjectCat (86μs)
Illuminate\Cache\Events\KeyWritten (370μs)
Illuminate\Cache\Events\CacheHit (219μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (101μs)
creating: site.layouts.app (473μs)
composing: site.layouts.app (18μs)
creating: components.canonical (318μs)
composing: components.canonical (76μs)
creating: components.open-graph (128μs)
composing: components.open-graph (48μs)
creating: site.headers.header (177μs)
composing: site.headers.header (47μs)
Illuminate\Cache\Events\CacheHit (1.82ms)
creating: components.footer (72μs)
composing: components.footer (70μs)
Illuminate\Cache\Events\CacheHit (629μs)
Illuminate\Cache\Events\CacheHit (231μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (117μs)
creating: components.forms.contact-us (169μs)
composing: components.forms.contact-us (115μs)
creating: components.forms.get-started (102μs)
composing: components.forms.get-started (46μs)
creating: components.forms.free-tool-download (74μs)
composing: components.forms.free-tool-download (42μs)
creating: components.forms.claim-free-worksheet (69μs)
composing: components.forms.claim-free-worksheet (39μs)
creating: components.forms.tutor-subscription-waitlist (67μs)
composing: components.forms.tutor-subscription-waitlist (38μs)
creating: components.forms.tutor-subscription-join (65μs)
composing: components.forms.tutor-subscription-join (40μs)
creating: components.forms.tutor-support (65μs)
composing: components.forms.tutor-support (40μs)

312 x Illuminate\Cache\Events\CacheHit (13.41%)	56.79ms
19 x Illuminate\Database\Events\StatementPrepared (12.92%)	54.71ms
19 x Illuminate\Database\Events\QueryExecuted (9.58%)	40.54ms
10 x Illuminate\Cache\Events\KeyWritten (1.77%)	7.47ms
10 x Illuminate\Cache\Events\CacheMissed (1.42%)	6.03ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.6%)	2.52ms
1 x Illuminate\Routing\Events\Routing (0.25%)	1.06ms
11 x eloquent.retrieved: App\Models\SubjectCat (0.21%)	896μs
1 x Illuminate\Database\Events\ConnectionEstablished (0.21%)	887μs
1 x creating: site.layouts.app (0.11%)	473μs
1 x Illuminate\Routing\Events\RouteMatched (0.1%)	430μs
1 x creating: components.canonical (0.08%)	318μs
2 x eloquent.retrieved: App\Models\Subject (0.07%)	306μs
1 x eloquent.booting: App\Models\SubjectCat (0.07%)	296μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.07%)	282μs
1 x creating: components.breadcrumbs (0.07%)	282μs
10 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.06%)	269μs
1 x creating: homework.show (0.06%)	253μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)	202μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)	179μs
1 x creating: site.headers.header (0.04%)	177μs
1 x creating: components.forms.contact-us (0.04%)	169μs
1 x creating: components.open-graph (0.03%)	128μs
1 x composing: components.forms.contact-us (0.03%)	115μs
1 x composing: homework.show (0.02%)	104μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)	102μs
1 x composing: components.breadcrumbs (0.02%)	102μs
1 x creating: components.forms.get-started (0.02%)	102μs
1 x composing: components.canonical (0.02%)	76μs
1 x creating: components.forms.free-tool-download (0.02%)	74μs
1 x creating: components.footer (0.02%)	72μs
1 x composing: components.footer (0.02%)	70μs
1 x creating: components.forms.claim-free-worksheet (0.02%)	69μs
1 x creating: components.forms.tutor-subscription-waitlist (0.02%)	67μs
1 x creating: components.forms.tutor-subscription-join (0.02%)	65μs
1 x creating: components.forms.tutor-support (0.02%)	65μs
1 x eloquent.booting: App\Models\Subject (0.01%)	60μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	50μs
1 x composing: components.open-graph (0.01%)	48μs
1 x composing: site.headers.header (0.01%)	47μs
1 x composing: components.forms.get-started (0.01%)	46μs
1 x composing: components.forms.free-tool-download (0.01%)	42μs
1 x eloquent.booted: App\Models\Subject (0.01%)	40μs
1 x composing: components.forms.tutor-support (0.01%)	40μs
1 x composing: components.forms.tutor-subscription-join (0.01%)	40μs
1 x composing: components.forms.claim-free-worksheet (0.01%)	39μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)	39μs
1 x composing: components.forms.tutor-subscription-waitlist (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

19 statements were executed, 5 of which were duplicates, 14 unique. Show only duplicated82.51ms

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` = '62832' limit 1

35.05mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 62832
Backtrace	16. app/Http/Controllers/HomeworkLibraryController.php:97 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

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

1.51mstwenty4_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 (62832)

1.92mstwenty4_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

1.13mstwenty4_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` <> 62832 and `subject` = 60 and `status` = 'published' and `price` > 0 order by RAND() limit 6

22.24mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 62832 1: 60 2: published 3: 0
Backtrace	14. app/Repositories/HomeworkLibraryRepository.php:30 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 18. app/Repositories/HomeworkLibraryRepository.php:39 19. app/Http/Controllers/HomeworkLibraryController.php:139

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

1.13mstwenty4_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` = 62832 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.43mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 62832 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` = 62832 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.31mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 62832 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` = 62832 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.32mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 62832 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

1.25mstwenty4_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

1.13mstwenty4_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

1.18mstwenty4_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

1.15mstwenty4_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

1.16mstwenty4_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

1.01mstwenty4_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

1.21mstwenty4_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

5.19mstwenty4_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

App\Models\SubjectCat: 11SubjectCat.php
App\Models\HomeworkLibrary\HomeworkLibraryFile: 10HomeworkLibraryFile.php
App\Models\HomeworkLibrary\HomeworkLibrary: 7HomeworkLibrary.php
App\Models\Subject: 2Subject.php

_token: gPAFCRilSB3axniH1vf19Vt5LTaWfBJAC5eU0o9l
utm_source: direct
redirectUrl: /college-homework-library/Mathematics/Mathematics-Other/62832
_previous: array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Mat...
_flash: array:2 [ "old" => [] "new" => [] ]
PHPDEBUGBAR_STACK_DATA: []

path_info

/college-homework-library/Mathematics/Mathematics-Other/62832

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=1-680a3f84-648254172cccea1118da9e34"
  ]
  "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 => "3.144.211.57"
  ]
  "content-length" => array:1 [▶
    0 => ""
  ]
  "content-type" => array:1 [▶
    0 => ""
  ]
]

request_cookies

[]

response_headers

  0 of 0   
array:5 [▼
  "content-type" => array:1 [▶
    0 => "text/html; charset=UTF-8"
  ]
  "cache-control" => array:1 [▶
    0 => "no-cache, private"
  ]
  "date" => array:1 [▶
    0 => "Thu, 24 Apr 2025 13:41:24 GMT"
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6IkxLQm5Sd1o0V3FuWmhTSjZNV0luNXc9PSIsInZhbHVlIjoiREZiYTdGYTJNckxnNVZJVWJXN0cvdVQvWmJlMS9IMTdmOTNicDRwMUFiZW9PTUgxOVhlNkJLVzBibjBleTdYR2I3WnBmQzlsekNHVVZ3eXA3NGZzZTF2YnN2c0pZSVVzVzhhTE1jU2tEUjhNbm9Fb2JtV0lCdCtvL0tMTllUaXciLCJtYWMiOiI4MTI4ZGM4ZjhkNzkzOTA0YzNjY2YzMjE2NGQ3MWYxYWEyZWI1NTZiMmY2OGNmNzAwZDc2MTE2MzMzNzJiOTFhIiwidGFnIjoiIn0%3D; expires=Thu, 24 Apr 2025 15:41:24 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=lax ◀XSRF-TOKEN=eyJpdiI6IkxLQm5Sd1o0V3FuWmhTSjZNV0luNXc9PSIsInZhbHVlIjoiREZiYTdGYTJNckxnNVZJVWJXN0cvdVQvWmJlMS9IMTdmOTNicDRwMUFiZW9PTUgxOVhlNkJLVzBibjBleTdYR2I3WnBmQ ▶"
    1 => "24houranswers_session=eyJpdiI6IlorcWlpS09hTDE1Q2FEOHcrUzFlYnc9PSIsInZhbHVlIjoiQnNOcmNDbFhDUmlBclhtS1dEcmpaZVFzc3cvWXJ6UW5GS3V1T3hra0oxQ0x4ZmN0MnRSV2t1cCtabzFZN0tKWWFwRlY4WGdPZGdFS1ZVY3hBUWVhalpMaVRka245QkZydFN0SDcyMDZOcVBSUkErMzl0VDNnbmtGNnQ3NlAyK20iLCJtYWMiOiJlYmM4NWQ1NmRlMTRjNmQwMjMzYTgwMWJkYWJkOTBjMGY2MjYxZmJmMjU5NjUxOGFmMGFlYzczMDE4MGI4ODBmIiwidGFnIjoiIn0%3D; expires=Thu, 24 Apr 2025 15:41:24 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax ◀24houranswers_session=eyJpdiI6IlorcWlpS09hTDE1Q2FEOHcrUzFlYnc9PSIsInZhbHVlIjoiQnNOcmNDbFhDUmlBclhtS1dEcmpaZVFzc3cvWXJ6UW5GS3V1T3hra0oxQ0x4ZmN0MnRSV2t1cCtabzFZN0 ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6IkxLQm5Sd1o0V3FuWmhTSjZNV0luNXc9PSIsInZhbHVlIjoiREZiYTdGYTJNckxnNVZJVWJXN0cvdVQvWmJlMS9IMTdmOTNicDRwMUFiZW9PTUgxOVhlNkJLVzBibjBleTdYR2I3WnBmQzlsekNHVVZ3eXA3NGZzZTF2YnN2c0pZSVVzVzhhTE1jU2tEUjhNbm9Fb2JtV0lCdCtvL0tMTllUaXciLCJtYWMiOiI4MTI4ZGM4ZjhkNzkzOTA0YzNjY2YzMjE2NGQ3MWYxYWEyZWI1NTZiMmY2OGNmNzAwZDc2MTE2MzMzNzJiOTFhIiwidGFnIjoiIn0%3D; expires=Thu, 24-Apr-2025 15:41:24 GMT; domain=.24houranswers.com; path=/ ◀XSRF-TOKEN=eyJpdiI6IkxLQm5Sd1o0V3FuWmhTSjZNV0luNXc9PSIsInZhbHVlIjoiREZiYTdGYTJNckxnNVZJVWJXN0cvdVQvWmJlMS9IMTdmOTNicDRwMUFiZW9PTUgxOVhlNkJLVzBibjBleTdYR2I3WnBmQ ▶"
    1 => "24houranswers_session=eyJpdiI6IlorcWlpS09hTDE1Q2FEOHcrUzFlYnc9PSIsInZhbHVlIjoiQnNOcmNDbFhDUmlBclhtS1dEcmpaZVFzc3cvWXJ6UW5GS3V1T3hra0oxQ0x4ZmN0MnRSV2t1cCtabzFZN0tKWWFwRlY4WGdPZGdFS1ZVY3hBUWVhalpMaVRka245QkZydFN0SDcyMDZOcVBSUkErMzl0VDNnbmtGNnQ3NlAyK20iLCJtYWMiOiJlYmM4NWQ1NmRlMTRjNmQwMjMzYTgwMWJkYWJkOTBjMGY2MjYxZmJmMjU5NjUxOGFmMGFlYzczMDE4MGI4ODBmIiwidGFnIjoiIn0%3D; expires=Thu, 24-Apr-2025 15:41:24 GMT; domain=.24houranswers.com; path=/; httponly ◀24houranswers_session=eyJpdiI6IlorcWlpS09hTDE1Q2FEOHcrUzFlYnc9PSIsInZhbHVlIjoiQnNOcmNDbFhDUmlBclhtS1dEcmpaZVFzc3cvWXJ6UW5GS3V1T3hra0oxQ0x4ZmN0MnRSV2t1cCtabzFZN0 ▶"
  ]
]

session_attributes

  0 of 0   
array:6 [▼
  "_token" => "gPAFCRilSB3axniH1vf19Vt5LTaWfBJAC5eU0o9l"
  "utm_source" => "direct"
  "redirectUrl" => "/college-homework-library/Mathematics/Mathematics-Other/62832"
  "_previous" => array:1 [▶
    "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Mathematics-Other/62832"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]

(4) Show that the Gauss map G: : (0,1) (0,1), x G { 1/2 1 } that...

Similar Homework Solutions

1 x Booting (57.43%)	243ms
1 x Application (42.57%)	180ms