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problem12_pdf - rabbani(tar547 Homework12 Fouli(58395 This...

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rabbani (tar547) – Homework12 – Fouli – (58395) 1 This print-out should have 22 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 ) = 4 x 2 + x + 3 x . 1. g ( x ) = x parenleftbigg 4 5 x 2 + 1 3 x + 3 parenrightbigg + C 2. g ( x ) = 2 x ( 4 x 2 + x - 3 ) + C 3. g ( x ) = 2 x parenleftbigg 4 5 x 2 + 1 3 x + 3 parenrightbigg + C 4. g ( x ) = 2 x ( 4 x 2 + x + 3 ) + C 5. g ( x ) = x ( 4 x 2 + x + 3 ) + C 6. g ( x ) = 2 x parenleftbigg 4 5 x 2 + 1 3 x - 3 parenrightbigg + C 002 10.0 points Determine f ( t ) when f ′′ ( t ) = 4(3 t + 1) and f (1) = 6 , f (1) = 1 . 1. f ( t ) = 2 t 3 - 4 t 2 + 4 t - 1 2. f ( t ) = 2 t 3 + 2 t 2 - 4 t + 1 3. f ( t ) = 6 t 3 + 4 t 2 - 4 t - 5 4. f ( t ) = 6 t 3 + 2 t 2 - 4 t - 3 5. f ( t ) = 2 t 3 - 2 t 2 + 4 t - 3 6. f ( t ) = 6 t 3 - 4 t 2 + 4 t - 5 003 10.0 points Find the value of f (0) when f ( t ) = 3 sin 2 t , f parenleftBig π 2 parenrightBig = - 1 . 1. f (0) = - 4 2. f (0) = - 5 3. f (0) = - 3 4. f (0) = - 6 5. f (0) = - 7 004 10.0 points Consider the following functions: ( A ) F 1 ( x ) = cos 2 x 4 , ( B ) F 2 ( x ) = - cos 2 x 2 , ( C ) F 3 ( x ) = sin 2 x . Which are anti-derivatives of f ( x ) = sin x cos x ? 1. F 2 only 2. F 3 only 3. none of them 4. F 1 and F 3 only 5. F 1 and F 2 only 6. F 2 and F 3 only 7. F 1 only 8. all of them 005 10.0 points

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rabbani (tar547) – Homework12 – Fouli – (58395) 2 Find f ( π/ 2) when f ( t ) = 3 cos 1 3 t + 4 sin 2 3 t and f (0) = - 1. 1. f ( π/ 2) = 17 2 2. f ( π/ 2) = 11 2 3. f ( π/ 2) = 13 2 4. f ( π/ 2) = 19 2 5. f ( π/ 2) = 15 2 006 10.0 points A particle moves along the x -axis so that its acceleration at time t is a ( t ) = 3 - 4 t in units of feet and seconds.
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