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test3sample

# test3sample - and use this information to sketch a graph(25...

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1. For the function f ( x ) = x 3 - 3 x - 7 find where f is increasing, decreasing, concave up, concave down, has critical points, inflection points, local maxes and local mins

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Unformatted text preview: and use this information to sketch a graph. (25 points). 2. Find inﬂection point(s) and concavity for g ( x ) = 3 x 5-5 x 4 + 7 x-π . (13 points). 3. Find two positive numbers x and y such that x 2 y is maximized. Be sure to verify that your result is a maximum and not a minimum. (12 points). 4. Find the (absolute) max and min of h ( x ) = x 3-6 x 2 + 9 x-4 on [-2 , 2]. (12 points). 5. Suppose farmer Bob (no relation to particle Bob from Test II) wants to claim a rectangular spot of land along a (perfectly straight) river. The river forms a natural edge of his property and Bob has 500 feet of fencing to mark oﬀ the rest of his property. What is the largest area Bob could claim? (13 points). 6. Find the largest total surface area (including top and bottom) of a cylinder inscribed in a cone with base radius 4 and height 24. (25 points)....
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