[Step-by-Step] Use the chain rule to find (dw)/(dt), where: w=x^2+y^2+z^2 , x=e^t cos t , y=e^t sin t , z=e^t , and t =
Question: Use the chain rule to find \(\frac{dw}{dt}\), where:
\(\begin{aligned} & w={{x}^{2}}+{{y}^{2}}+{{z}^{2}} \\ & x={{e}^{t}}\cos t \\ & y={{e}^{t}}\sin t \\ & z={{e}^{t}} \\ \end{aligned}\)and t = 0.
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