Consider the function f(x) = ln(x2). Let L(x) be the local linearization of f aboutx bar = a.a) What is the general expression of L(x) ?b) Find the linearization L(x) about a = 1 , a = 2 and a = 3.c) Which one of the above linearizations will fit the best for x = 2.5?
Consider the function f(x) = ln(x2). Let L(x) be the local linearization of f aboutx bar = a.a) What is the general expression of L(x) ?b) Find the linearization L(x) about a = 1 , a = 2 and a = 3.c) Which one of the above linearizations will fit the best for x = 2.5?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the function f(x) = ln(x2). Let L(x) be the local linearization of f about
x bar = a.
a) What is the general expression of L(x) ?
b) Find the linearization L(x) about a = 1 , a = 2 and a = 3.
c) Which one of the above linearizations will fit the best for x = 2.5?
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