at P is contained within the tangent plane TpS to S at P. Find the (only) point of intersection P between the curve C with parametrization r (t) = (-2t + 4, 1, t2 + t) and the surface S with equation 3xy +2z = 8, and show that C and S are tangent to each other at P. Hint: Does the definition above tell you anything about how r' should relate to some other important vector for S? %3D

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