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# Challenging math problem.

Determine the regions of the pq-plane for which the function f(x,y) = 2px + qy^2 restricted to the curve x^3 + y^3 = 1 has exactly one and exactly three critical points, respectively.

If the critical point is (x,y), what is x+y?

Hope you enjoy this problem!

No one I know, knows how to solve this question. If you can solve it please give your solution step by step!

Note by Nathan Antwi
4 years, 7 months ago

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pq-plane ?

- 4 years, 7 months ago