(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)~

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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