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Unformatted text preview: (b) What is the height after 2 seconds? (c) What is the acceleration after 2 seconds? (d) Is the ball rising or falling, after 2 seconds? 6. (10 pts.) Use the following information to make a good sketch of the function f ( x ) near x = 3: f (3) = 4, f (3) =-2 3 , f 00 (3) = 5. 7. (15 pts.) Let y = 1 2 x 3 + 3 2 x 2-12 x-13. (a) Find y ( x ) and y 00 ( x ). (b) Find all relative extreme points and indicate whether each is a relative maximum or minimum. (c) Find all inection points. (d) Plot the points found in steps (b) and (c) above. Sketch the graph. 8. (10 pts.) The graph of y = f ( x ) is shown below. Explain why f ( x ) must have a relative minimum point at x = 3.-9 -6 -3 3 6 9 x y y = f ( x )...
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- Spring '08