Unformatted text preview: = x and y = 2 sin x . (b) Use the Bisection method to Fnd an approximation to within 10-5 to the Frst positive value of x with x = 2 sin x . #12 ±ind an approximation to √ 3 correct to within 10-4 using the Bi-section Algorithm (hint: consider f ( x ) = x 2-3). #15 ±ind a bound for the number of iterations needed to achieve an approximation with accuracy 10-4 to the solution of x 3-x-1 = 0 lying in the interval [1 , 2]. ±ind an approximation to the root with this degree of accuracy. 1...
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This note was uploaded on 10/28/2010 for the course MATH 151a taught by Professor Staff during the Spring '08 term at UCLA.
- Spring '08