Consider the ellipsoid 4x2 + 36y2 + 225 z2 = 225 (a) Parametrize the surface S = r(u, v) by x = a sin(u) sin(v), y = b cos(u) sin(v), and z = c cos(v) with appropriate values for a, b and c. (b) Determine the unit normal vector n for the point π 4 , π 4  in (u, v) space

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