dw and av Express as functions of u and v. du dw du dw dw and a at du dw Evaluate aw (1 du 2 (Type an integer or a simplified fraction.) aw (1 av (2 (Type an integer or a simplified fraction.) %3D

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 46E: For the linear transformation from Exercise 45, let =45 and find the preimage of v=(1,1). 45. Let T...
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express ∂w ∂u and ∂w ∂v using the chain rule and by expressing w directly in terms of u and v before differentiating. Then evaluate ∂w ∂u and ∂w ∂v at the point ​(u,v)= 1 2,−2.

dw
dw
and
au
Express
as functions of u and v.
du
dw
dw
dw
and
du
Evaluate
a at
dw ( 1
- 2
du
(Type an integer or a simplified fraction.)
aw ( 1
dv 2-2
(Type an integer or a simplified fraction.)
%3D
Transcribed Image Text:dw dw and au Express as functions of u and v. du dw dw dw and du Evaluate a at dw ( 1 - 2 du (Type an integer or a simplified fraction.) aw ( 1 dv 2-2 (Type an integer or a simplified fraction.) %3D
dw
dw
For the functions w = xy + yz + xz, x= 2u + 3v, y = 2u - 3v, and z = uv, express
and
dv
using the chain rule and
dw
dw
and
du
by expressing w directly in terms of u and v before differentiating. Then evaluate
at the point
(u,v) =
Transcribed Image Text:dw dw For the functions w = xy + yz + xz, x= 2u + 3v, y = 2u - 3v, and z = uv, express and dv using the chain rule and dw dw and du by expressing w directly in terms of u and v before differentiating. Then evaluate at the point (u,v) =
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