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(a) Find the linearization L(x) of f (x) = v25 – x² at a = 3. (b) Use the linear approximation L(x) to estimate f(3.1).

(a) Find the linearization L(x) of f (x) = v25 – x² at a = 3. (b) Use the linear approximation L(x) to estimate f(3.1).

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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(a) Find the linearization L(x) of f (x) = v25 – x² at a 3. (b) Use the linear approximation L(x) to estimate f (3.1).
Transcribed Image Text:(a) Find the linearization L(x) of f (x) = v25 – x² at a 3. (b) Use the linear approximation L(x) to estimate f (3.1).
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