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Consider the ellipsoid x 2 +5y 2 +z 2 = 30. The implicit form of the tangent plane to this ellipsoid at (1,2,3) is (ANSWER

Consider the ellipsoid x2+5y2+z2 = 30.

The implicit form of the tangent plane to this ellipsoid at (1,2,3) is (ANSWER NEEDED).

The parametric form of the line through this point that is perpendicular to that tangent plane is L(t) = (ANSWER NEEDED).

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