Answered: 1. Recall the formula (-1)ˢ2ᶜ⁻¹... |24HA

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8.1.0456ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (280ms)time
Application (176ms)time
1 x Booting (61.46%)
280ms
1 x Application (38.54%)
176ms

Illuminate\Routing\Events\Routing (1.36ms)
Illuminate\Routing\Events\RouteMatched (548μs)
Illuminate\Foundation\Events\LocaleUpdated (4.55ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (237μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (208μs)
Illuminate\Database\Events\ConnectionEstablished (1.19ms)
Illuminate\Database\Events\StatementPrepared (33.95ms)
Illuminate\Database\Events\QueryExecuted (2.7ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (139μs)
eloquent.booting: App\Models\Subject (121μs)
eloquent.booted: App\Models\Subject (55μs)
Illuminate\Database\Events\StatementPrepared (2.04ms)
Illuminate\Database\Events\QueryExecuted (889μs)
eloquent.retrieved: App\Models\Subject (108μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (119μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (41μs)
Illuminate\Database\Events\StatementPrepared (666μs)
Illuminate\Database\Events\QueryExecuted (1.07ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (79μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (15μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (5μs)
eloquent.booting: App\Models\SubjectCat (461μs)
eloquent.booted: App\Models\SubjectCat (42μs)
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eloquent.retrieved: App\Models\SubjectCat (99μs)
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eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (92μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (15μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
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eloquent.retrieved: App\Models\Subject (89μs)
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eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (57μs)
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Illuminate\Database\Events\QueryExecuted (979μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (48μs)
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creating: homework.show (306μs)
composing: homework.show (147μs)
creating: components.breadcrumbs (536μs)
composing: components.breadcrumbs (132μs)
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eloquent.retrieved: App\Models\SubjectCat (73μs)
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eloquent.retrieved: App\Models\SubjectCat (75μs)
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eloquent.retrieved: App\Models\SubjectCat (106μs)
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eloquent.retrieved: App\Models\SubjectCat (81μs)
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Illuminate\Cache\Events\CacheHit (133μs)
Illuminate\Cache\Events\CacheHit (147μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (110μs)
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Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (109μs)
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Illuminate\Cache\Events\CacheHit (131μs)
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Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (128μs)
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Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheMissed (205μs)
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Illuminate\Cache\Events\KeyWritten (395μs)
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311 x Illuminate\Cache\Events\CacheHit (13.59%)	61.98ms
20 x Illuminate\Database\Events\StatementPrepared (11.09%)	50.59ms
20 x Illuminate\Database\Events\QueryExecuted (5.61%)	25.56ms
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1. Recall the formula (-1)ˢ2ᶜ⁻¹⁰²³(1-f) used to compute decimal num...

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