Answered: 1) Prove that ∀ x,y∈R, if x a... |24HA

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8.1.0457ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (275ms)time
Application (182ms)time
1 x Booting (60.22%)
275ms
1 x Application (39.77%)
182ms

Illuminate\Routing\Events\Routing (1.38ms)
Illuminate\Routing\Events\RouteMatched (533μs)
Illuminate\Foundation\Events\LocaleUpdated (6.74ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (139μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (152μs)
Illuminate\Database\Events\ConnectionEstablished (885μs)
Illuminate\Database\Events\StatementPrepared (20.18ms)
Illuminate\Database\Events\QueryExecuted (1.92ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (112μs)
eloquent.booting: App\Models\Subject (74μs)
eloquent.booted: App\Models\Subject (48μs)
Illuminate\Database\Events\StatementPrepared (1.56ms)
Illuminate\Database\Events\QueryExecuted (1.03ms)
eloquent.retrieved: App\Models\Subject (120μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (148μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (42μs)
Illuminate\Database\Events\StatementPrepared (705μs)
Illuminate\Database\Events\QueryExecuted (3.42ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (97μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (17μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (6μs)
eloquent.booting: App\Models\SubjectCat (307μs)
eloquent.booted: App\Models\SubjectCat (43μs)
Illuminate\Database\Events\StatementPrepared (676μs)
Illuminate\Database\Events\QueryExecuted (1.26ms)
eloquent.retrieved: App\Models\SubjectCat (111μs)
Illuminate\Cache\Events\CacheHit (15.47ms)
Illuminate\Cache\Events\CacheMissed (1.15ms)
Illuminate\Database\Events\StatementPrepared (1.15ms)
Illuminate\Database\Events\QueryExecuted (8.52ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (100μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (18μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (6μs)
Illuminate\Database\Events\StatementPrepared (889μs)
Illuminate\Database\Events\QueryExecuted (1.01ms)
eloquent.retrieved: App\Models\Subject (116μs)
Illuminate\Cache\Events\KeyWritten (816μs)
Illuminate\Database\Events\StatementPrepared (2.07ms)
Illuminate\Database\Events\QueryExecuted (1.17ms)
Illuminate\Database\Events\StatementPrepared (725μs)
Illuminate\Database\Events\QueryExecuted (997μs)
Illuminate\Database\Events\StatementPrepared (727μs)
Illuminate\Database\Events\QueryExecuted (1.07ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (54μs)
Illuminate\Cache\Events\CacheHit (737μs)
creating: homework.show (315μs)
composing: homework.show (163μs)
creating: components.breadcrumbs (304μs)
composing: components.breadcrumbs (126μs)
Illuminate\Database\Events\StatementPrepared (1.22ms)
Illuminate\Database\Events\QueryExecuted (850μs)
eloquent.retrieved: App\Models\SubjectCat (149μs)
Illuminate\Cache\Events\CacheMissed (5.98ms)
Illuminate\Database\Events\StatementPrepared (918μs)
Illuminate\Database\Events\QueryExecuted (1.23ms)
eloquent.retrieved: App\Models\SubjectCat (102μs)
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Illuminate\Cache\Events\CacheHit (415μs)
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Illuminate\Cache\Events\CacheHit (162μs)
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Illuminate\Cache\Events\CacheMissed (312μs)
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eloquent.retrieved: App\Models\SubjectCat (267μs)
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Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheMissed (233μs)
Illuminate\Database\Events\StatementPrepared (940μs)
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Illuminate\Cache\Events\CacheHit (207μs)
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Illuminate\Cache\Events\CacheHit (200μs)
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Illuminate\Cache\Events\CacheHit (304μs)
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Illuminate\Cache\Events\CacheHit (193μs)
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Illuminate\Cache\Events\CacheHit (198μs)
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Illuminate\Cache\Events\CacheHit (180μs)
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Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheMissed (289μs)
Illuminate\Database\Events\StatementPrepared (861μs)
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eloquent.retrieved: App\Models\SubjectCat (73μs)
Illuminate\Cache\Events\KeyWritten (306μs)
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311 x Illuminate\Cache\Events\CacheHit (15.54%)	71.04ms
20 x Illuminate\Database\Events\StatementPrepared (8.51%)	38.92ms
20 x Illuminate\Database\Events\QueryExecuted (6.97%)	31.89ms
11 x Illuminate\Cache\Events\CacheMissed (2.04%)	9.34ms
11 x Illuminate\Cache\Events\KeyWritten (1.85%)	8.46ms
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13. app/Http/Controllers/HomeworkLibraryController.php:91
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1.19mstwenty4_siteHomeworkLibraryController.php#97

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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
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3.55mstwenty4_siteHomeworkLibraryController.php#97

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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
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19. app/Repositories/HomeworkLibraryRepository.php:30
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select * from `subject_cats` where `subject_cats`.`id` = 33 limit 1

1.19mstwenty4_siteSubject.php#100

Bindings	0: 33
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select * from `subject_cats` where `subject_cats`.`id` = 11 limit 1

1.14mstwenty4_siteSubject.php#100

Bindings	0: 11
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select * from `subject_cats` where `subject_cats`.`id` = 5 limit 1

1.2mstwenty4_siteSubject.php#100

Bindings	0: 5
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1) Prove that ∀ x,y∈R, if x and y are both positive, then √(x+y)≠√x...

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