The parametric equations of an ellipsoid are: x = a cosusinv, y = b sinusinv, z = c cosv where 0 Show that the differential volume element of the ellipsoid shown is given by:
dV = -nabcsin3vdv
Use MATLAB to evaluate the integral of dV from π to 0 symbolically and show that the volume of the ellipsoid is V = 4/3nabc.

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dz