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(a) Find the linear approximation L(x) of 2 f(x) = x³ at x = 3 L(x) = x = 27. (b) Use L(x) to approximate f(27.1) to six decimal places. L(27.1)~ (c) What is the actual value of f(27.1) to six decimal places? f(27.1)~

(a) Find the linear approximation L(x) of 2 f(x) = x³ at x = 3 L(x) = x = 27. (b) Use L(x) to approximate f(27.1) to six decimal places. L(27.1)~ (c) What is the actual value of f(27.1) to six decimal places? f(27.1)~

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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(a) Find the linear approximation L(x) of f(x) = x³ at x = 27. 2 L(x) = (b) Use L(x) to approximate f(27.1) to six decimal places. L(27.1)~ (c) What is the actual value of f(27.1) to six decimal places? f(27.1)~
Transcribed Image Text:(a) Find the linear approximation L(x) of f(x) = x³ at x = 27. 2 L(x) = (b) Use L(x) to approximate f(27.1) to six decimal places. L(27.1)~ (c) What is the actual value of f(27.1) to six decimal places? f(27.1)~
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