- #1

llauren84

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## Homework Statement

Sketch the space curve represented by the intersection of the surfaces. Then represent the curve by a vector-valued function.

## Homework Equations

Surfaces: z=x

^{2}+y

^{2}, x+y=0

Parameter: x=t

## The Attempt at a Solution

So, I sketched the space curve represented by the intersection of the two curves. It's simply a parabola. However, I can't seem to think of how to put it into a vector-valued function. I'm getting a mind block. (Perhaps, before anyone answers this, I may come up with the answer.)