[Solution] If the temperature T at a point (x, y, z) is T=(x^2+y^2)^a z^b, find the rate of change of temperature with time ((d T)/(d t)) for an object
Question: If the temperature \(T\) at a point \((x, y, z)\) is \(T=\left(x^{2}+y^{2}\right)^{a} z^{b}\), find the rate of change of temperature with time \(\left(\frac{d T}{d t}\right)\) for an object whose position vector is
\(\mathbf{r}=\left(x_{0}+v_{x} t, y_{0}+v_{y} t, z_{0}+v_{z} t\right)\).
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