Problems 12 (11-10)

# Problems 12 (11-10) - mao(tm23477 – Hw 12 – gualdani...

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Unformatted text preview: mao (tm23477) – Hw 12 – gualdani – (57180) 1 This print-out should have 20 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Find all functions g such that g ′ ( x ) = x 2 + 3 x + 4 √ x . 1. g ( x ) = 2 √ x parenleftbigg 1 5 x 2 + x- 4 parenrightbigg + C 2. g ( x ) = 2 √ x ( x 2 + 3 x + 4 ) + C 3. g ( x ) = 2 √ x parenleftbigg 1 5 x 2 + x + 4 parenrightbigg + C 4. g ( x ) = √ x parenleftbigg 1 5 x 2 + x + 4 parenrightbigg + C 5. g ( x ) = 2 √ x ( x 2 + 3 x- 4 ) + C 6. g ( x ) = √ x ( x 2 + 3 x + 4 ) + C 002 10.0 points Determine f ( t ) when f ′′ ( t ) = 6( t + 1) and f ′ (1) = 2 , f (1) = 4 . 1. f ( t ) = t 3- 3 t 2 + 7 t- 1 2. f ( t ) = t 3 + 3 t 2- 7 t + 7 3. f ( t ) = 3 t 3 + 3 t 2- 7 t + 5 4. f ( t ) = t 3- 6 t 2 + 7 t + 2 5. f ( t ) = 3 t 3 + 6 t 2- 7 t + 2 6. f ( t ) = 3 t 3- 6 t 2 + 7 t + 0 003 10.0 points Consider the following functions: ( A ) F 1 ( x ) =- cos 2 x 4 , ( B ) F 2 ( x ) = sin 2 x, ( C ) F 3 ( x ) = cos 2 x 2 . Which are anti-derivatives of f ( x ) = sin x cos x ? 1. F 3 only 2. F 2 only 3. F 1 only 4. all of them 5. F 1 and F 3 only 6. F 1 and F 2 only 7. none of them 8. F 2 and F 3 only 004 10.0 points Find f ( t ) when f ′ ( t ) = 2 cos 1 3 t- 4 sin 2 3 t and f ( π 2 ) = 7....
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## This note was uploaded on 05/12/2010 for the course 408K 408K taught by Professor Guldani during the Spring '10 term at University of Texas.

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Problems 12 (11-10) - mao(tm23477 – Hw 12 – gualdani...

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