H.W 2- Find the linearization of the function at each point. (1) f (x,y)=x+y²+1 P(1,1)

Calculus: Early Transcendentals
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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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H.W 2- Find the linearization of the function at each point.
(1) f (x,y)=x²+y?+1
P (1,1)
(2) f (x,y)=x'y
P(1,1)
(3) f (x,y)=e' cos y
P0,
(4) f (x,y)=e*
(5) (x,y,z)=x'+y+z?
sin (xy)
P(1,2)
P(0,1,0)
!!
(6) f (x,y,z)=
P (2,0,1)
(7) f (x,y,z)=e" +cos(y +z)
P 0,
4 4
(8) f (x,y,z)= tan (xyz)
P(1,1,0)
Transcribed Image Text:H.W 2- Find the linearization of the function at each point. (1) f (x,y)=x²+y?+1 P (1,1) (2) f (x,y)=x'y P(1,1) (3) f (x,y)=e' cos y P0, (4) f (x,y)=e* (5) (x,y,z)=x'+y+z? sin (xy) P(1,2) P(0,1,0) !! (6) f (x,y,z)= P (2,0,1) (7) f (x,y,z)=e" +cos(y +z) P 0, 4 4 (8) f (x,y,z)= tan (xyz) P(1,1,0)
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