If a, b, and c are positive constants, then the transformation x = au, y = bu, and z = cw Y can be re-written as = v and = w, and hence it maps the spherical region b. х z = U, a с u2 + 02 +w2 < 1 into the ellipsoidal region x2 + y2 + < 1. a2 62 x2 y² S[/62 + 22)dV where E is bounded E Evaluate 22 by + + = 1. To do this, a2 62 c2 transform the elliptical region of integration into a spherical region of integration and then evaluate the transformed integral in spherical coordinates.