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Unformatted text preview: ( x ) = x (1-x ) 1 3 and identify the inection points. Find and classify all local extrema. 3. Let f ( x ) = x ( x + 3) 2 . ( i ) Describe the increasing/decreasing behavior of f and classify the local extrema. ( ii ) Describe the concavity of the graph of f and nd the inection points. ( iii ) Find the horizontal and vertical asymptotes. ( iv ) Plot the points of interest (those found above as well as x and y intercepts). ( v ) Sketch the graph of the function from the information you have determined. 4. Find the dimensions of the rectangle of greatest area that can be inscribed in a semicircle of radius r ....
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- Spring '06