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Find the curve, C, for a line integral

Attachment 28051

Solving line integrals isn't a problem for me, but, for this question, I'm having trouble finding the parametrized curve.

I did draw the cone and plane, but I still can't figure out how to find the curve, **r**(t).

Any help on the matter will be greatly appreciated,

Giest

Re: Find the curve, C, for a line integral

Hey Giestforlife.

Hint: Substitute z from equation 1 into equation 2 and then calculate z^2 = x^2 + y^2 = (10 - y + x)^2 and collect terms to get an ellipse which has a standard parameterization.