Use the Divergence Theorem to calculate the surface integral F · dS; that is, calculate the flux of F across S. F(x, y, z) = (6x3 + y3)i + (y3 + z3)j + 15y2zk, S is the surface of the solid bounded by the paraboloid  z = 1 − x2 − y2  and the xy-plane.

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Chapter2: Second-order Linear Odes
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Use the Divergence Theorem to calculate the surface integral

F · dS; that is, calculate the flux of F across S.

F(x, y, z) = (6x3 + y3)i + (y3 + z3)j + 15y2zk,

S is the surface of the solid bounded by the paraboloid 
z = 1 − x2 − yand the xy-plane.
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