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Unformatted text preview: bridge at a height of 32 feet above the water below, has a height (in feet) given by h ( t ) =-16 t 2 + 16 t + 32, where t is measured in seconds. (a) How long does it take the rock to hit the water? (b) What is the velocity of the rock as a function of time? (c) What is the velocity of the rock when it hits the water? (d) What is the average velocity of the rock while it is in the air? 6. Using the denition of the derivative, nd the deriva-tive of f ( x ) = x 2 . 7. What is the best linear approximation of the func-tion f ( x ) = x 2 + 1 near the point (0 , 1) ? 2...
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