Question: Let Ebe the solid bounded by the ellipsoid x24+y29+z2=1 for z0.Do thefollowing(a). Let Dbe the intersection ofE with the plain z=0. Set up, but do
Let Ebe the solid bounded by the ellipsoid x24+y29+z2=1 for z0.Do thefollowing(a). Let Dbe the intersection ofE with the plain z=0. Set up, but do not evaluate adouble integral over D that equals the volume ofE.(b). Use the substitution u=x2 and v=y3, the change in variables theorem and theJacobian to evaluate the integral in part (a).
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