Question: (1 point) Use the Divergence Theorem to calculate the surface integral S(:3cos(z)+4xy2,3xe-z,2sin(y)+4zx2:)*dSwhere Sis the surface of the solid bounded by the paraboloid z=x2+y2 and the

(1 point) Use the Divergence Theorem to calculate the surface integral S(:3cos(z)+4xy2,3xe-z,2sin(y)+4zx2:)*dSwhere Sis the surface of the solid bounded by the paraboloid z=x2+y2 and the plane z=1.S(:3cos(z)+4xy2,3xe-z,2sin(y)+4zx2:)*dS=x1x1y1y2z1z2dzdydxwherex1=x2=y2=S(:3cos(z)+4xy2,3xe-z,2sin(y)+4zx2:)*dS=(1 point) Use the Divergence Theorem to calculate the outward flux ofF=r|r| where r=(:x,y,z:) across S : the hemisphere z=4-x2-y22 and the disk x2+y24in the xy-plane.Flux ofF across S=x1x2y1y2z1z2dzdydxwherex1=x2=Flux ofF across S=

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