Mathematics, 20.08.2020 17:01 woahthatstay
sing the Divergence Theorem, find the outward flux of F across the boundary of the region D. F = x2i + y2j + zk; D: the solid cube cut by the coordinate planes and the planes x = 2, y = 2, and z = 2
Answers: 2
![=2\int\limits^2_0 {(2xy+y^2+y)^2_0} \, dx \\\\=2\int\limits^2_0 {(2xy+4+2)^2_0} \, dx \\\\=2[\frac{4x^2}{2}+4x+2x]^2_0\\\\=2[2x^2+6x]^2_0\\\\=2[2(2)^2+6(2)]\\\\=2[8+12]\\\\=2[20]\\\\=40](/tpl/images/0725/6609/cea7e.png)
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sing the Divergence Theorem, find the outward flux of F across the boundary of the region D. F = x2i...
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