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Contents Index Calc Dark Mode Prev Up Next \(\newcommand{\R}{\mathbb{R}}
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Activity 13.13.3 .
(a) Find the flux of the vector field
\(\vF = \langle 3x^2+y^5,5+e^{z^3},z\rangle\) through the surface of the solid cube
\(Q\) in
\(\R^3\) with
\(-2\leq x\leq 2\text{,}\) \(-2\leq y\leq 2\text{,}\) and
\(-2\leq z\leq 2\text{.}\)
(b) Find the flux of the vector field
\(\vG = \langle x^3,y^3,z^3\rangle\) through surface consisting of the top half of sphere of radius
\(3\) centered at the origin and the disc of radius
\(3\) in the
\(xy\) -plane (centered at the origin).
