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Unformatted text preview: b. Using 5 iterations of the bisection method to determine the highest root. Employ initial guesses of x l = 0 and x u = 1. Use 5 decimal places. (a) A plot indicates that a single real root occurs at about x = 0.42. (b) First iteration: 5 . 2 1 r x 75 . ) 375 . ( 2 ) 5 . ( ) ( f f Therefore, the new bracket is x l = 0 and x u = 0.5. The process is then repeated and after 5 iterations yielding a root estimate of 0.40625. iteration x l x u x r f ( x l ) f ( x r ) f ( x l ) f ( x r ) 1 0.00000 1.00000 0.50000 2.00000 0.37500 0.75000 2 0.00000 0.50000 0.25000 2.00000 0.73438 1.46875 3 0.25000 0.50000 0.37500 0.73438 0.18945 0.13913 4 0.37500 0.50000 0.43750 0.18945 0.08667 0.01642 5 0.37500 0.43750 0.40625 0.18945 0.05246 0.00994 84 4 81 1...
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This note was uploaded on 04/02/2012 for the course EGR 100 taught by Professor Hinds during the Fall '08 term at Michigan State University.
 Fall '08
 HINDS

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