Unformatted text preview: First, let us ±nd the plane tangent to the ellipsoid x 2 + 3 y 2 + 4 z 2 = 20 at the point P (2 , − 2 , − 1) (Figure 3.16 ). b (2 , − 2 , − 1) x y z Figure 3.16: The surface x 2 +3 y 2 +4 z 2 = 20 with tangent plane at (2 , − 2 , − 1) This can be regarded as the level set L ( f, 20) of the function f ( x,y,z ) = x 2 + 3 y 2 + 4 z 2 ....
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 Fall '08
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 Calculus, Continuous function

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