We want to estimate f(1.01 , 0.97) for the function f(x,y)= √(4 - x2 - y2). For this, we can use an appropriate linearization of the function f(x,y). Then Fx (1,1) = ? and Fy (1,1) = ? therefore we can estimate the mentioned value obtaining an answer of f( 1.01 , 0.97) ≈ L( 1.01, 0.97) =

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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We want to estimate f(1.01 , 0.97) for the function f(x,y)= √(4 - x2 - y2). For this, we can use an appropriate linearization of the function f(x,y).

Then F(1,1) = ? and Fy (1,1) = ?

therefore we can estimate the mentioned value obtaining an answer of f( 1.01 , 0.97) ≈ L( 1.01, 0.97) =
 
 
 
 
 
 
 
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