Find the curve of intersection between the surfaces described by $-3x^2 + 5z =1$ and $4x^2 + 2y^2 = 11$. the parametrization must be so that $y = ksin(t)$ where $k $ is a positive constant, and such that the other surface is traversed counter clockwise.
Im having a hard time finding the constant $k$, and also making sense of the "traversed counter clockwise" part. I also got that $$ x = \pm \sqrt{11-2k^2sin^2(t) \over 4}$$ and i don't know what to do with the $\pm$.
Try this:$$x=\frac{\sqrt {11}}{2}\cos t\\y=\sqrt\frac{11}{2}\sin t\\z=\frac{1+\frac{33}{4}\cos^2 t}{5}$$