2x2 If we approximate f(-/4.1,/49.1)' Suppose we have a surface f (x,y) ,which of the following is the Local Linear = у Approximation of f(x,y) using a point (- 2,7) for (x 8 (x+2) – 7 8 (у — 7) + 49 :- - 7 8 (x+2) – 7 8 (у+ 7) + 49 8 = - - 7 1 = -- (x+2) – 7 1 (у — 7) + 7 8 7 1 z=+ - (x+2) + –(y – 7) - - 49 1 1 7 7

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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Suppose we have a surface f (x,y) =
2x2
If we approximate f(- /4.1./49.1), which of the following is the Local Linear
y
Approximation of f(x,y) using a point (- 2,7)
for
8
(x+2) –
8
(у — 7) + —
49
8
Z= - -
|
7
8
8
- (x+2) ·
7
(y+7) + -
49
Z= -
1
8
- (x+2) -
7
(у —7) + -
7
Z= -
1
z= +- (x+2) +
7
1
(у—7) —
49
Transcribed Image Text:Suppose we have a surface f (x,y) = 2x2 If we approximate f(- /4.1./49.1), which of the following is the Local Linear y Approximation of f(x,y) using a point (- 2,7) for 8 (x+2) – 8 (у — 7) + — 49 8 Z= - - | 7 8 8 - (x+2) · 7 (y+7) + - 49 Z= - 1 8 - (x+2) - 7 (у —7) + - 7 Z= - 1 z= +- (x+2) + 7 1 (у—7) — 49
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