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An implicitly defined function of x, y and z is given along with a point P...

An implicitly defined function of x, y and z is given along with a point P that lies on the surface: sin(xy) + cos(yz) = 0, at P = (2, π/12, 4)

Use the gradient ∇F to:

(a) find the equation of the normal line to the surface at P.

(b) find the equation of the plane tangent to the surface at P.

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