Can you find the point of intersection?

Calculus Level 3

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.


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