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Unformatted text preview: → + ∞ x tan ± 1 x ² . 2. For what value of c does the function f ( x ) = x + c x have a local minimum at x = 3? 2 3. Draw the graph of the function g ( x ) = 4 x 3x 4 . Label any local maxima or minima, inﬂection points, and asymptotes, and indicate where the graph is concave up and where it is concave down. 3 4. Suppose that h ( u ) = u 2 + 1 u 2 and that h (1) = 3 . What is h (2)? 4 5. A rectangle is bounded by the xaxis and the graph of the function f ( x ) = √ 25x 2 as shown in the ﬁgure below. What length and width should the rectangle be so that its area is maximized? 5...
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 Fall '08
 CHESTKOFSKY
 Math, Calculus, Critical Point, Derivative, Optimization, Mathematical analysis

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