Question: Does the function f(x,y) = x^2/2 + 5y^3 + 9y^2 - 5x have a global maximum and global minimum? If it does, identify the value

Does the function f(x,y) = x^2/2 + 5y^3 + 9y^2 - 5x have a global maximum and global minimum? If it does, identify the value of the maximum and minimum. If it does not, be sure that you are able to explain why.

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