Question

Suppose you need to know an equation of the tangent plane to a surface S at...

Suppose you need to know an equation of the tangent plane to a surface S at the point

P(2, 1, 4).

You don't have an equation for S but you know that the curves

r1(t) =
2 + 3t, 1 − t2, 4 − 5t + t2
r2(u) =
1 + u2, 2u3 − 1, 2u + 2

both lie on S. Find an equation of the tangent plane at P.

Math   Calculus   
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find the equation

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