(b) Use your answer to part (a) to approximate e-0.3.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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1. Let g(x) = e-3x.
(a) Find the linearization of g at x = 0.
4,=9(0)=3(6)
9')= e*. -3 = -3e3x
Mcg6) = -
こe
4-1:-3(x-0)
y-1=-3x
ly: -3x +1
-3
(b) Use your answer to part (a) to approximate e-0.3,
Transcribed Image Text:1. Let g(x) = e-3x. (a) Find the linearization of g at x = 0. 4,=9(0)=3(6) 9')= e*. -3 = -3e3x Mcg6) = - こe 4-1:-3(x-0) y-1=-3x ly: -3x +1 -3 (b) Use your answer to part (a) to approximate e-0.3,
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