Show that G(? , ?) = (a cos ? sin ?,b sin ? sin ?,c cos
Question and Solution
Show that G(? , ?) = (a cos ? sin ?,b sin ? sin ?,c cos ?) is a parametrization of the ellipsoid x a 2 + y b 2 + z c 2 =
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Show that G(? , ?) = (a cos ? sin ?,b sin ? sin ?,c cos ?) is a parametrization of the ellipsoid x a 2 + y b 2 + z c 2 = 1 Then calculate the volume of the ellipsoid as the surface integral of F = 1 3 x, y,z (this surface integral is equal to the volume by the Divergence Theorem).
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