? Exercise 14.5.2 az and du dz To calculate for the following functions: 2z - y f(x, y) z(u, v) = e2" cos 3v, y(u, v) = e2" sin 3v. 2 = COS z + 3y' first calculate: az az ду du dv dy du dy dv Then use the first formula above to find the partial derivative: dz du and use the second formula above to find: dz dv || || ||

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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? Exercise 14.5.2
az
and
du
dz
To calculate
for the following functions:
2z - y
f(x, y)
z(u, v) = e2" cos 3v, y(u, v) = e2" sin 3v.
2 =
COS
z + 3y'
first calculate:
az
az
ду
du
dv
dy
du
dy
dv
Then use the first formula above to find the partial derivative:
dz
du
and use the second formula above to find:
dz
dv
||
||
||
Transcribed Image Text:? Exercise 14.5.2 az and du dz To calculate for the following functions: 2z - y f(x, y) z(u, v) = e2" cos 3v, y(u, v) = e2" sin 3v. 2 = COS z + 3y' first calculate: az az ду du dv dy du dy dv Then use the first formula above to find the partial derivative: dz du and use the second formula above to find: dz dv || || ||
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