Question: (1 point) Verify that the Divergence Theorem is true for the vector field F=(:x2,-y,z:) and the region E the solid cylinder y2+z29,0x4.To verify the Divergence

(1 point) Verify that the Divergence Theorem is true for the vector field F=(:x2,-y,z:) and the region E the solid cylinder y2+z29,0x4.To verify the Divergence Theorem we will compute the expression on each side. First compute EdivFdVdivF=dzdydxwherex1=x2=EdivFdV=Now compute SF*dSConsider S=DTDBCS where DTis the disk on top (x=4),DBis the disk on bottom (x=0) and CSis the cylindrical side.L1F*dDT=y1y2z1z2,dzdyD1F*dDB=y1y2z2z2,dzdywherey1=,bar(),z1=y2=,bar(),z2=CS can be parametrized by ,3cos(t): with 0s4 and 0t2.CSF*dCS=0204dsdtDtF*dDT=DsF*dDB=CS'F*dCS=

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