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Let D be the solid region defined by D = {(x, y, z) ∈ R3; y^2...

Let D be the solid region defined by D = {(x, y, z) ∈ R3; y^2 + z^2 + x^2 <= 1},

and V be the vector field in R3 defined by: V(x, y, z) = (y^2z + 2z^2y)i + (x^3 − 5^z)j + (z^3 + z) k.

1. Find I = (Triple integral) (3z^2 + 1)dxdydz.

2. Calculate double integral V · ndS, where n is pointing outward the border surface of V .

Math   Calculus   
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