Find the flux of the vector field F = <y, -x, z^4> through the helicoid with parameterization r(u,v) = <u cos v, u sin v, v>, 0 ? u ? 4, 0 ? v ? ? oriented away from the origin.
Added by Adriana L.
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Step 1
To do this, we'll find the partial derivatives of the parameterization with respect to u and v, and then take their cross product. $$ \frac{\partial \mathbf{r}}{\partial u} = \left(\cos u - u\sin u, \sin u + u\cos u, 0\right) $$ $$ \frac{\partial Show more…
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