Suppose you need to know an equation of the tangent plane to a surface S at the point P(3, 1, 3). You don't have an equation for S but you know that the curves r₁(t) = (3 + 2t, 1-², 3-5t + t²) r₂(u) = (2+ u², 2u³ - 1, 2u + 1) both lie on S. Find an equation of the tangent plane at P.

Q: Suppose you need to know an equation of the tangent plane to a surface S at the point P(3, 1, 3).…

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