(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let C be the intersection of the two surfaces:

S1: x^2 + 4y^2 + z^2 = 6;

s2: z = x^2 + 2y;

Show that the point (1, -1, -1) is on the curve C and find the tangent line to the curve C at the point (1, -1, -1).

2. Relevant equations

partial derivates, maybe the gradient vector and directional derivatives

though, maybe symmetrical equations like x - x_0/partial derivative with respect to x = y etc...

3. The attempt at a solution

I'm just kind of wondering where to start. I think I should be making these into vectors, but I'm not quite sure how to do so, and of course thinking about partial derivatives.

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# Find the tangent line between two surfaces

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