The equation f (x) = 4e^-x sinx-1 = 0 [0, 0.5] It is actually by the method of graphing that the reel has a root, as seen. a) Calculate the approximate root after six steps using the interval half method with 10^-4 accuracy (taking four decimal places after the step). b) Calculation with 10^-5 accuracy with the iteration para required to reach the root in the range [0, 0.5] by the interval halving method.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 41E
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The equation f (x) = 4e^-x sinx-1 = 0 [0, 0.5] It is actually by the method of graphing that the reel has a root, as seen.
a) Calculate the approximate root after six steps using the interval half method with 10^-4 accuracy (taking four decimal places after the step).
b) Calculation with 10^-5 accuracy with the iteration para required to reach the root in the range [0, 0.5] by the interval halving method.

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