Consider function cosh(x – 1) | f (x) = for x E [1,3]. (a) Prove that f is a unimodal function in its domain. (b) Use the method of false position to locate the minimiser with tolerance e = 0.1. (Accurate to 3 decimal places) (c) To find the minimiser with tolerance e = Golden section search method need? 0.1, at least how many calculations does the

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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2. Consider function
cosh(x – 1)
f (x) =
for x E [1,3].
(a) Prove that f is a unimodal function in its domain.
(b) Use the method of false position to locate the minimiser with tolerance e = 0.1.
(Accurate to 3 decimal places)
(c) To find the minimiser with tolerance e = 0.1, at least how many calculations does the
Golden section search method need?
Transcribed Image Text:2. Consider function cosh(x – 1) f (x) = for x E [1,3]. (a) Prove that f is a unimodal function in its domain. (b) Use the method of false position to locate the minimiser with tolerance e = 0.1. (Accurate to 3 decimal places) (c) To find the minimiser with tolerance e = 0.1, at least how many calculations does the Golden section search method need?
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