Q3. Let g(x) = 1-0.5 cos x, x = [0, 1]. a. Show that g has a unique fixed point. b. Find the number of iterations needed to approximate the fixed point to within 10-4, given that po = 1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
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Let g(x) = 1- 0.5 cos r, r E (0, 1].
a. Show thatg has a unique fixed point.
b. Find the number of iterations needed to approximate the fixed
point to within 10-4, given that po = 1.
Transcribed Image Text:Let g(x) = 1- 0.5 cos r, r E (0, 1]. a. Show thatg has a unique fixed point. b. Find the number of iterations needed to approximate the fixed point to within 10-4, given that po = 1.
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