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ex3_6401 - x = 250 100 x 0 001 x 3 is the cost function for...

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Problem Sheet 3 for 6401 Due Monday 10 Nov 2008, at the Problem Class. You should hand in solutions to all problems, but only some of them will be marked. 1. For the following functions, find the critical values and local ex- trema (maxima or minima). Describe the intervals in which f is in- creasing or decreasing and sketch the graph of f . (a) f ( x ) = x 1 / 3 ( x 3 + x 2 - x ); (b) f ( x ) = x 2 ( x 2 - 4) 1 / 3 ; (c) f ( x ) = ( x + 1) e x 2 - x . 2.
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Unformatted text preview: x ) = 250 + 100 x + 0 . 001 x 3 is the cost function for a certain commodity. (a) Find the cost of producing 100 units; (b) Find the average and marginal cost functions and their values at x = 100; (c) Find the minimum average cost. 3. Find the following indefinite integrals: (a) R e 2 x dx ; (b) R ( x 5-17 x 3 ) dx ; (c) R cos 3 x sin xdx . 1...
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