For the functions w =xy + yz + xz, x = 3u + v, y= 3u - v, and z = uv, express , and , using the chain rule and by expressing w directly in terms of u and v before dw dw and differentiating. Then evaluate at the point (u,v) = du dv dw dw and du Express as functions of u and v. dv dw du

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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dw
dw
and
For the functions w= xy + yz + xz, x= 3u + v, y= 3u – v, and z= uv, express
using the chain rule and by expressing w directly in terms of u and v before
du
dv
dw
dw
1
differentiating. Then evaluate
du
and
at the point (u,v) =||
dv
4
dw
dw
Express
and
as functions of u and v.
dv
ne
dw
du
Transcribed Image Text:dw dw and For the functions w= xy + yz + xz, x= 3u + v, y= 3u – v, and z= uv, express using the chain rule and by expressing w directly in terms of u and v before du dv dw dw 1 differentiating. Then evaluate du and at the point (u,v) =|| dv 4 dw dw Express and as functions of u and v. dv ne dw du
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