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,
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.