a positive root of the equation f (x) = ex / 4 - 2Cosx = 0; a) indicate the estimated location by graphic method. b) Using the Sequential Approaches Method with an initial value of x0 = 0.5, nine Obtain the positive root for n = 9 with a decimal (9D). c) Show that there is a root in the range 0.5

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 17E
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a positive root of the equation f (x) = ex / 4 - 2Cosx = 0;
a) indicate the estimated location by graphic method.
b) Using the Sequential Approaches Method with an initial value of x0 = 0.5, nine
Obtain the positive root for n = 9 with a decimal (9D).
c) Show that there is a root in the range 0.5 <x <1, x0 = 0.75 initial
with the value n = 3 as nine decimal places (9D) using the Newton-Raphson Method
obtain the positive root for.

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