Find the symmetric equations for the normal line

Reference no: EM131012931

May I have all parts of the question answered with full working, all formulas used and typed.

Consider the surface given by the equation xy² + x² z + yz² = 7.

(a) Find an equation for the tangent plane to the surface at the point (1, 1, 2). Graph the surface and the tangent plane with a good view of tangency.

(b) Find all points where the tangent plane to the surface is parallel to the plane z = 3x + y.

Reference no: EM131012931

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