Consider finding the root of f(x) = e¯*(3.2 sin(x) – 0.5 cos(x)) on the interval [3, 4] using bisection method. Perform 5 iterations and find the percentage relative error after each iteration. Maintain 6 decimal places for partial and final answers.

Consider finding the root of f(x) = e¯*(3.2 sin(x) – 0.5 cos(x)) on the interval [3, 4] using bisection method. Perform 5 iterations and find the percentage relative error after each iteration. Maintain 6 decimal places for partial and final answers.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 37E

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Question

Topic: Roots of Nonlinear Single Equation

Consider finding the root of f (x) = e-*(3.2 sin(x) – 0.5 cos(x)) on the interval [3, 4] using
bisection method. Perform 5 iterations and find the percentage relative error after each iteration.
Maintain 6 decimal places for partial and final answers.

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