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Unformatted text preview: silva (jrs4378) HW09 schultz (54765) 1 This printout should have 22 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points If f is the function defined on [ 4 , 4] by f ( x ) = x +  x   4 , which of the following properties does f have? A. Absolute maximum at x = 0 . B. Differentiable at x = 0 . 1. both of them 2. B only 3. neither of them 4. A only 002 10.0 points If f is a continuous function on [0 , 6] having (1) a local maximum at 2, (2) an absolute minimum at 4 , and (3) an absolute maximum at 6, which one of the following could be the graph of f ? 1. 2 4 6 2 4 x y 2. 2 4 6 2 4 x y 3. 2 4 6 2 4 x y 4. 2 4 6 2 4 x y 5. 2 4 6 2 4 x y silva (jrs4378) HW09 schultz (54765) 2 6. 2 4 6 2 4 x y 003 10.0 points Find all the critical values of f ( x ) = x (2 x ) 2 / 5 . 1. x = 10 7 2. x = 2 , 10 7 3. x = 2 , 10 7 4. x = 2 5. x = 2 , 10 7 6. x = 2 , 10 7 7. x = 10 7 8. x = 2 004 10.0 points If f is the function whose graph is given by 2 4 6 2 4 6 which of the following properties does f have? A. f ( x ) > 0 on ( 1 , 2) , B. differentiable at x = 2 , C. local minimum at x = 4 . 1. B and C only 2. none of them 3. A and C only 4. all of them 5. C only 6. A and B only 7. A only 8. B only 005 10.0 points If the graph of the function defined on [ 3 , 3] by f ( x ) = x 2 + ax + b has an absolute minimum at (2 , 3), determine the value of f (1)....
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 Fall '10
 schultz

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