Unformatted text preview: f ( x ) inside [ a, b ]. (b) Let f ( x ) = log x-sin x . Prove that f ( x ) has a unique maximum in the interval [4 , 6]. (Note that log means natural logarithm.) (c) Approximate this local maximum using six iterations of the bisection method with starting interval [4 , 6]. (2) (Order of Convergence) Apply the theorems on pp. 90-91 to the following problems: (a) Section 2.3 #8 (b) Section 2.3 #9 1...
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This note was uploaded on 09/28/2010 for the course MATH 371 taught by Professor Krasny during the Fall '08 term at University of Michigan.
- Fall '08