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Unformatted text preview: f is continuous and f (3) = 0. (a) Sketch a graph of f ( x ) (b) What is the average value of f ( x ) on [0 , 7]? Your signature: (6) The graph f 00 is given in the following ﬁgure. Assume that f (0) = 0 and f (0) = 0. Decide at which of the labeled xvalues: (a) f ( x ) is greatest. (b) f ( x ) is least. (c) f ( x ) is greatest. (d) f ( x ) is least. (e) f 00 ( x ) is greatest. (f) f 00 ( x ) is least. Your signature: (7) Sketch a graph of an antiderivative, H ( t ), of h ( t ) satisfying H (0) = 12. Label each critical point of H ( t ). Your signature: (8) The following is a graph of g ( x ). (a) Find Z 12 3 g ( x ) dx (b) If g (3) = 4, what is g (12)?...
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 Fall '09
 HarvanshManocha
 Calculus, Critical Point, Following, Polytechnic Institute of New York University

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