[Steps Shown] Find (∂ r)/(∂ x), (∂ r)/(∂ y), and (∂ r)/(partial z) for r=u v-u^2-v^2-w^2 ; u=2 x+z, v=x-y
Question: Find \(\frac{\partial r}{\partial x}, \frac{\partial r}{\partial y}\), and \(\frac{\partial r}{\partial z}\) for \(r=u v-u^{2}-v^{2}-w^{2} ; \quad u=2 x+z, \quad v=x-y\)
\(\mathrm{w}=\mathrm{y}+\mathrm{z}\)
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Deliverable: Word Document 