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Unformatted text preview: may be used to prove that a solution exists to this problem. (3 points) 2. Do exercise 13.21 of Simon and Blume (1994, p.295). (2 points) 3. Let f : < + < be dened by f ( x ) = ( if x = 0 x sin 1 x if x 6 = 0 Prove that f is continuous at 0. (2 points) 4. In each of the following cases, determine the intervals in which the function f is increasing or decreasing and the nd the local maxima and minima (if any) in the set where each f is dened: (a) f ( x ) = x 3 + ax + b where x < . (b) f ( x ) = ln ( x 2-9) where | x | > 3. (c) f ( x ) = x 2 / 3 ( x-1) 4 where 0 x 1. (3 points) 1...
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This note was uploaded on 10/22/2009 for the course ECG 765 taught by Professor Fackler during the Fall '07 term at N.C. State.
- Fall '07