161E2-F2008 - MA 16100 Exam II Fall 2008 1 The graph of y =...

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MA 16100 Exam II Fall 2008 1. The graph of y = f ( x ) is shown below. x y -2 -1 1 2 1 Which of the following could be the graph of y = f 0 ( x )? x y -1 1 1 -1 A. x y -1 1 1 -1 B. x y -1 1 1 -1 C. x y -1 1 1 -1 D. x y -1 1 1 -1 E. 2. Let f ( x ) = x, x ≤ - 1 x + 1 , - 1 < x 0 x 2 + 1 , 0 < x 1 2 x, 1 < x Find the points at which f is NOT differentiable. 1
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MA 16100 Exam II Fall 2008 3. At time 0 a ball is thrown directly upward from a platform 10m tall. Its height above the ground after t seconds is s = - 5 t 2 + 5 t + 10, where s is in meters. The ball hits the ground after 2 seconds. What is its velocity at impact? 4. At which point(s) does the curve y = x 3 - 6 x 2 + 12 x + 7 have a horizontal tangent? 2
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MA 16100 Exam II Fall 2008
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