Question: Help Entering Answers(1 point) Verify that the Divergence Theorem is true for the vector field F=2x2i+2xyj+2zk and the region E the solid bounded by the
Help Entering Answers(1 point) Verify that the Divergence Theorem is true for the vector field F=2x2i+2xyj+2zk and the region E the solid bounded by the paraboloid z=1-x2-y2 and the xy-plane.To verify the Divergence Theorem we will compute the expression on each side. First compute EdivFdVdivF=dzdydxEdivFdV=x1x2y1y2z1z2wherex1=x2=y1=y2=z1=z2=EdivFdV=Now compute SF*dSConsider S=PD where Pis the paraboloid and Dis the disk.PF*dP=x1x2y1y2dydxDF*dD=x1x2y1y2dydxwherex1=x2=y1=y2=PF*dP=DF*dD=
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