Find a root greater than zero of f(x) = e² - 2x - 5 using the Fixed-Point Iteration Method with an initial estimate of 2, and accurate to five decimal places. Round off all computed values to seven decimal places

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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1. Find a root greater than zero of f(x) = e* - 2x - 5 using the Fixed-Point Iteration Method with
an initial estimate of 2, and accurate to five decimal places. Round off all computed values to seven
decimal places
2. Compute for a real root of 2 cos - sin √ = accurate to 4 significant figures using Fixed-
Point Iteration Method with an initial value of T. Round off all computed values to 6 decimal places.
Use an error stopping criterion based on the specified number of significant figures. To get the
maximum points, use an iterative formula that will give the correct solution and answer with less
than eleven iterations.
Transcribed Image Text:1. Find a root greater than zero of f(x) = e* - 2x - 5 using the Fixed-Point Iteration Method with an initial estimate of 2, and accurate to five decimal places. Round off all computed values to seven decimal places 2. Compute for a real root of 2 cos - sin √ = accurate to 4 significant figures using Fixed- Point Iteration Method with an initial value of T. Round off all computed values to 6 decimal places. Use an error stopping criterion based on the specified number of significant figures. To get the maximum points, use an iterative formula that will give the correct solution and answer with less than eleven iterations.
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