Let W(x, y) = F(u(x, y), v(x, y)), where F, u, and v are differentiable, and the following applies. F(0, 4) = 5 u(6, -1) = 0 u,(6, -1) = -8 v(6, -1) = 4 Vx(6, -1) = -4 Uy(6,-1) = 5 F(0, 4) = 2 Vy(6, -1) = 3 F(0, 4) = 7 Find W(6, -1), W,(6, -1) and W,(6, -1).. (Use the chain rule for the second and third.) W(6, -1) = W,(6, -1) = W,(6, -1) = You now have enough information to write down the linear approximation L(x,y) of the function W(x,y) at the point (х,у)%3 (6,-1). Use L(x,y) to find an approximate value for W(6.1,-0.8). W(6.1,-0.8) is approximately
Let W(x, y) = F(u(x, y), v(x, y)), where F, u, and v are differentiable, and the following applies. F(0, 4) = 5 u(6, -1) = 0 u,(6, -1) = -8 v(6, -1) = 4 Vx(6, -1) = -4 Uy(6,-1) = 5 F(0, 4) = 2 Vy(6, -1) = 3 F(0, 4) = 7 Find W(6, -1), W,(6, -1) and W,(6, -1).. (Use the chain rule for the second and third.) W(6, -1) = W,(6, -1) = W,(6, -1) = You now have enough information to write down the linear approximation L(x,y) of the function W(x,y) at the point (х,у)%3 (6,-1). Use L(x,y) to find an approximate value for W(6.1,-0.8). W(6.1,-0.8) is approximately
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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
Transcribed Image Text:Let W(x, y) = F(u(x, y), v(x, Y)), where F, u, and v are differentiable, and the following applies.
F(0, 4) = 5
u(6, -1) = 0
u,(6, - 1) = -8
u,(6, -1) = 5
F(0, 4) = 2
v(6, -1) = 4
Vx(6, -1) = -4
%3D
Vy(6, -1) = 3
F(0, 4) = 7
%3D
%3D
%3D
Find W(6, -1), W,(6,-1) and W,(6, -1). . (Use the chain rule for the second and third.)
W(6, -1) =
W,(6, -1) =
%3D
W,(6, -1) =
You now have enough information to write down the linear approximation L(x,y) of the function W(x,y) at the point
(X,y)=(6,-1).
Use L(x,y) to find an approximate value for W(6.1,-0.8).
W(6.1,-0.8) is approximately
%3D
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