Use the Divergence Theorem to calculate the surface
integral
F · dS;
that is, calculate the flux
of F across S.
F(x, y, z)
=
3xy2i + xezj + z3k,
S is the surface of the solid bounded by the
cylinder
y2 + z2 = 1
and the planes
x = −3 and x = 1.
Use The Divergence Theorem To Calculate The Surface Integral F Ds That Is Calculate The Flux Of F Across S F X Y 1 (31.96 KiB) Viewed 36 times
Use the Divergence Theorem to calculate the surface integral Sle Fºds; that is, calculate the flux of F across S. = F(x, y, z) = 3xy2ixej + zºk, S is the surface of the solid bounded by the cylinder y2 + z2 = 1 and the planes x = -3 and x = 1.
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