HW 12 - mandel(tgm245 HW12 Radin(56470 This print-out...

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mandel (tgm245) – HW12 – Radin – (56470) 1 This print-out should have 15 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 + 2 x + 4 x . 1. g ( x ) = 2 x ( x 2 + 2 x + 4 ) + C 2. g ( x ) = 2 x parenleftbigg 1 5 x 2 + 2 3 x + 4 parenrightbigg + C 3. g ( x ) = x ( x 2 + 2 x + 4 ) + C 4. g ( x ) = 2 x ( x 2 + 2 x - 4 ) + C 5. g ( x ) = 2 x parenleftbigg 1 5 x 2 + 2 3 x - 4 parenrightbigg + C 6. g ( x ) = x parenleftbigg 1 5 x 2 + 2 3 x + 4 parenrightbigg + C 002 10.0 points Find the value of f (0) when f ′′ ( t ) = 2(3 t + 4) and f (1) = 3 , f (1) = 2 . 1. f (0) = 8 2. f (0) = 7 3. f (0) = 5 4. f (0) = 9 5. f (0) = 6 003 10.0 points Find the value of f (0) when f ( t ) = 5 sin 2 t , f parenleftBig π 2 parenrightBig = 3 . 1. f (0) = - 3 2. f (0) = 1 3. f (0) = - 2 4. f (0) = 0 5. f (0) = - 1 004 10.0 points Consider the following functions: ( A ) F 1 ( x ) = cos 2 x 2 , ( B ) F 2 ( x ) = cos 2 x 4 , ( C ) F 3 ( x ) = sin 2 x 2 . Which are anti-derivatives of f ( x ) = sin x cos x ? 1. F 2 only 2. F 1 only 3. all of them 4. F 2 and F 3 only 5. none of them 6. F 3 only 7. F 1 and F 2 only 8.
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