Find the linear approximation of the given function at (1, 0), and use it to approximate f(1.1, 0.1). Using a calculator compare the approximation with the exact value of f(1.1, 0.1). f(x, y) = 49x + 9y? The linearization of f(x, y) at (1, 0) is L(x, y) =. The linear approximate for f(1.1, 0.1) is L(1.1, 0.1) =. (Round to two decimal places as needed.) The exact value of f(1.1, 0.1) =: (Round to four decimal places as needed.) The error of approximation is (Round to four decimal places as needed.)

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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Find the linear approximation of the given function at (1, 0), and use it to approximate f(1.1, 0.1). Using a calculator compare the approximation with the exact value of f(1.1, 0.1).
f(x, y) = 49x +
9y?
.....
The linearization of f(x, y) at (1, 0) is L(x, y):
The linear approximate for f(1.1, 0.1) is L(1.1, 0.1) =
(Round to two decimal places as needed.)
The exact value of f(1.1, 0.1) =:
(Round to four decimal places as needed.)
%3D
The error of approximation is
(Round to four decimal places as needed.)
Transcribed Image Text:Find the linear approximation of the given function at (1, 0), and use it to approximate f(1.1, 0.1). Using a calculator compare the approximation with the exact value of f(1.1, 0.1). f(x, y) = 49x + 9y? ..... The linearization of f(x, y) at (1, 0) is L(x, y): The linear approximate for f(1.1, 0.1) is L(1.1, 0.1) = (Round to two decimal places as needed.) The exact value of f(1.1, 0.1) =: (Round to four decimal places as needed.) %3D The error of approximation is (Round to four decimal places as needed.)
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