Volume of ellipsoid

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  Equation of tangent plane to the ellipsoid x^2 + 2y^2 + 3z^2 = 20 at (x1, y1, z1) is given as, x.x1 + 2 y.y1 + 3 z.z1 = 20 Here, (x1, y1, z1) = (3,2,1) Therefore, equation of required tangent plane: x.3 + 2y.2 + 3z.1 = 20 => 3x + 4y + 3z = 20 -

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  Calculate the volume of the ellipsoid (x^2/a^2) + (y^2/b^2) + (z^2/c^2) ≤ 1. Please see the attached file for the complete solution. 1.