Compute (int_{C} mathbf{F} cdot d mathbf{r}) for the oriented curve specified. (mathbf{F}(x, y, z)=leftlangle z^{3}, y z,

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Compute \(\int_{C} \mathbf{F} \cdot d \mathbf{r}\) for the oriented curve specified.

\(\mathbf{F}(x, y, z)=\left\langle z^{3}, y z, xightangle\), quarter of the circle of radius 2 in the \(y z\)-plane with center at the origin where \(y \geq 0\) and \(z \geq 0\), oriented clockwise when viewed from the positive \(x\)-axis

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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