Ch 13.PE - 89PE
Chapter , Problem 89PE(choose chapter or problem)
Let \(\mathrm{w}=\mathrm{f}(\mathrm{r}, \theta), \mathrm{r}=\sqrt{x^{2}+y^{2}}\), and \(\theta=\tan ^{-1}(y / x)\). Find \(\partial w / \partial x\) and \(\partial w / \partial y\) and express your answers in terms of \({r}\) and \(\theta\).
Equation Transcription:
w = f(r, ), r =
= tan-1 (y/x)
∂w/∂x
∂w/∂y
r
Text Transcription:
w = f(r, theta), r = sqrt x^2 + y^2
theta = tan^-1 (y/x)
partial w/partial x
partial w/partial y
r
theta
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