Problems 10 (10-27)

# Problems 10 (10-27) - mao (tm23477) – Hw 10 – gualdani...

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Unformatted text preview: mao (tm23477) – Hw 10 – gualdani – (57180) 1 This print-out should have 17 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points If f is a continuous function on ( − 5 , 3) whose graph is 2 − 2 − 4 2 4 which of the following properties are satisfied? A. f has exactly 4 critical points, B. f ′′ ( x ) > 0 on ( − 2 , 1), C. f has exactly 2 local extrema. 1. all of them 2. A and C only 3. B only 4. C only 5. none of them 6. A only 7. B and C only 8. A and B only 002 10.0 points Which function could have 2 π π as its graph on [ 0 , 2 π ]? 1. f ( x ) = sin x 2. f ( x ) = sin x 2 − cos x 3. f ( x ) = − sin x 4. f ( x ) = sin x cos x − 2 5. f ( x ) = − sin x 2 + cos x 6. f ( x ) = sin x 2 + cos x 003 10.0 points A function f is continuous and twice- differentiable for all x negationslash = 1. Its derivatives have the properties (i) f ′ ( − 1) = 0, (ii) f ′′ > 0 on ( −∞ , − 2) uniondisplay (1 , ∞ ), (iii) f ′′ < 0 on ( − 2 , 1). If the lines x = 1 and y = 2 are asymptotes of the graph of f , which of the following could be the graph of f ? mao (tm23477) – Hw 10 – gualdani – (57180) 2 1....
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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 10 (10-27) - mao (tm23477) – Hw 10 – gualdani...

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