Unformatted text preview: t (measured in seconds) is given by y ( t ) = 64-16 t 2 . How fast is the shadow of the ball moving along the ground after 1 second? 2. Let f ( x ) = x √ 4-x 2 for-2 ≤ x ≤ 2. (a) Find all critical numbers of f . (b) Find the absolute maximum and absolute minimum of f . 3. Graph the function f ( x ) = | 2 x-1 | -3 and compute the derivative. Verify that f (-1) = 0 = f (2) any yet f ( x ) is never 0. Explain how this does not violate Rolle’s Theorem. 4. Let f ( x ) = x + 2cos x , 0 ≤ x ≤ 2 π . (a) Find the intervals on which f is increasing or decreasing. (b) Identify all local extreme values of f . (c) Find the intervals of concavity and identify the inﬂection points....
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- Spring '06
- Extreme value, 1 second, 20 feet, 64 feet, local extreme values