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Unformatted text preview: Math 16A (Fall 2007) Kirkbride Final Review The final will expect you to know everything that we have covered, but will have empha- sis on applications of derivatives. Working on these problems is NOT ENOUGH to ensure a good grade on the final. Doing problems from the Chapter Reviews, going over notes and homework, and coming to the review are others way to study. 1. Find the derivative of the following functions. Do NOT simplify. a) f ( x ) = 5 + 2 x cos (3 x + 1) b) y = tan 3 (sin(5 x )) c) f ( x ) = x (1- 4 x 2 ) 2 d) Find dy dx if 2 x 1 / 3 y 2 + 3 y 1 / 2 tan y = 10 2. A baseball is hit straight upward. Its height above the ground after t seconds is h ( t ) = 128 t- 16 t 2 . a) How long is the ball in the air? b) What is the balls maximum height? c) What is the balls velocity as it strikes the ground? d.) What is the balls acceleration as it strikes the ground? 3. Find two numbers x and y so that their sum is 10 and the sum S = x 2 + 4 y 2 is a minimum. Your answer should include x, y and the minimum S.minimum....
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- Spring '10