Set up the surface integral for the Divergence Theorem, using a parametrization with the form r=...
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Set up the surface integral for the Divergence Theorem, using a parametrization with the form r= (a sin u cos v, a sin u sin v, a cos u) for the surface if needed. Select the correct choice below and fill in any answer boxes within your choice. O A. !! du dv, where the integrand does not simplify to a constant SS В. The integral simplifies to dS. (Type an integer or a simplified fraction.) Evaluate both integrals and check for agreement. Select the correct choice below and fill in any answer boxes within your choice. (Type an exact answer, using T as needed.) O A. Both integrals evaluate to. B. The integrals do not have the same value. The volume integral evaluates to and the surface integral evaluates to Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check for agreement. F= (3x, 4y, 3z); D= {(x,y,z): x2 + y +z? s9} %3D Set up the volume integral for the Divergence Theorem. Select the correct choice below and fill in any answer boxes within your choice. A. () dp do do, where the integrand does not simplify to a constant О В. The integral simplifies to SSS O dv. (Type an integer or a simplified fraction.) Set up the surface integral for the Divergence Theorem, using a parametrization with the form r= (a sin u cos v, a sin u sin v, a cos u) for the surface if needed. Select the correct choice below and fill in any answer boxes within your choice. O A. !! du dv, where the integrand does not simplify to a constant SS В. The integral simplifies to dS. (Type an integer or a simplified fraction.) Evaluate both integrals and check for agreement. Select the correct choice below and fill in any answer boxes within your choice. (Type an exact answer, using T as needed.) O A. Both integrals evaluate to. B. The integrals do not have the same value. The volume integral evaluates to and the surface integral evaluates to Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check for agreement. F= (3x, 4y, 3z); D= {(x,y,z): x2 + y +z? s9} %3D Set up the volume integral for the Divergence Theorem. Select the correct choice below and fill in any answer boxes within your choice. A. () dp do do, where the integrand does not simplify to a constant О В. The integral simplifies to SSS O dv. (Type an integer or a simplified fraction.)
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