# Can you find the point of intersection?

Calculus Level 2

Find the angle (in degrees) of intersection of the curves

$\begin{cases} x^{3}-3xy^{2}=a \\ 3yx^{2}-y^{3}=b \end{cases}$

Details and Assumptions

• $$a$$ and $$b$$ are real numbers.

• Angle of intersection of curves is the angle between the tangents to the curves at the point of their intersection.

×