Question: Use the Divergence Theorem to evaluate the surface integral SF*dd(that is, calculate the flux of F across S).(a)F(x,y,z)=(xcosy)i(ysinz)j(zez)k and S is the surface of the
Use the Divergence Theorem to evaluate the surface integral SF*dd(that is, calculate the flux of F across S).(a)F(x,y,z)=(xcosy)i(ysinz)j(zez)k and S is the surface of the solid bounded by the paraboloid z=1-x2 and by the planes z=0,y=0, and y=2.(b)F(x,y,z)=(x2e-yz)i(ysinxz)j(cosxy)k and S is the surface of the tetrabedron bounded by the plane xyz=1 and the coordinate planes.
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