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Unformatted text preview: . Express the area of a triangle in terms of . 10. (10 points) Find the absolute maximum and minimum of the function f ( x ) = 32 x 1 3-x 4 3 on the closed interval [-1 , 27]. (For evaluating outputs, note that f ( x ) = x 1 3 (32-x ) . ) 11. (15 points) Sketch the graph of the function f based on the following information; (Show limits, intervals of increase and decrease, concavity, x coordinates for local maxima, minima, and points of inection.) f is continuous on (0 , ) . lim x - f ( x ) = . lim x f ( x ) = . f ( x ) = 4 x +12 x 2 +16 . f 00 ( x ) =-4 ( x +8)( x-2) x 2 +16 . f (0) = 0 ....
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- Spring '11