# If a, b, and c are positive constants, then the transformation x = au, y = bv, z = cw can be rewritten

###### Question:

If a, b, and c are positive constants, then the transformation x = au, y = bv, z = cw can be rewritten as 18 No = w, and hence it maps the spherical region u + 12 + w? 1 into the ellipsoidal region x2 2 2 2 + 3 +9 251 b In this exercise, perform the integration by transforming the ellipsoidal region of integration into a spherical region of integration and then evaluating the transformed integral in spherical coordinates. , where G is the region enclosed by the ellipsoid 9x² + 16y2 + z2 = 16. Give the exact answer in the form of a fraction.

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