Question

Let S be a surface in the 3-D space (but we don’t have an equation for...

Let S be a surface in the 3-D space (but we don’t have an equation
for S). Suppose that there are two curves

r _1(t) = < cos(t), sin(t), t >

and

r_ 2(s) = < (s + 1)^2, 2s, se^s >

that both lie on S. Find an equation of the tangent plane to the surface S at the
point (1, 0, 0).

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