(a) Parametrize the curve {{x}^{2/3}}+{{y}^{2/3}}={{a}^{2/3}} in the standard counterclockwise sense


Question: (a) Parametrize the curve \({{x}^{2/3}}+{{y}^{2/3}}={{a}^{2/3}}\) in the standard counterclockwise sense

(b) Evaluate \(\vec{F}\left( \mathbf{x} \right)=\left( -\frac{1}{\sqrt[3]{y}},\frac{1}{\sqrt[3]{x}} \right)\) over one complete transversal of the above curve.

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See Solution: The downloadable solution consists of 2 pages
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