Suppose u = er sin (p), p= sin(3x), q = z² In(2y) , and r = ?. Assume that –7/6 < x < «/6. Compute du/dx, du/dy, and du/dz in two different ways: Find du/ap, du/dq, and du/ar as functions of x, y, and z. du/dp = du/dq = du/ðr = Now use your answers above to find du/dx, du/dy, and du/əz using the chain rule. du/dx = du/dy = du/dz =

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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Suppose u =
e3qr sin {p).
p = sin(3x), q == z² In(2y) , and r
2. Assume that –n/6 < x < /6.
-
Compute du/dx, du/ây, and du/dz in two different ways:
Find du/dp, du/@q, and du/ar as functions of x, y, and z.
du/dp =
du/dq =
du/ar =
Now use your answers above to find du/dx, du/dy, and du/dz using the chain rule.
du/dx =
du/dy =
du/dz =
Transcribed Image Text:Suppose u = e3qr sin {p). p = sin(3x), q == z² In(2y) , and r 2. Assume that –n/6 < x < /6. - Compute du/dx, du/ây, and du/dz in two different ways: Find du/dp, du/@q, and du/ar as functions of x, y, and z. du/dp = du/dq = du/ar = Now use your answers above to find du/dx, du/dy, and du/dz using the chain rule. du/dx = du/dy = du/dz =
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