Section 13.1: Vector Functions and Space Curves
Exercise 31
At what points does the curve \(\mathbf{r}(t) = t\mathbf{i} + (2t-t^2)\mathbf{k}\) intersect the paraboloid \(z=x^2+y^2\)?
At what points does the curve \(\mathbf{r}(t) = t\mathbf{i} + (2t-t^2)\mathbf{k}\) intersect the paraboloid \(z=x^2+y^2\)?