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1. (25 points) Consider the function f(x, y) = 2x3 + 6xy2 - 3y3 - 150x. (1) Find all the stationary points of the function.

1. (25 points) Consider the function f(x, y) = 2x3 + 6xy2 - 3y3 - 150x. (1) Find all the stationary points of the function. (2) Find all the local maxima, local minima and saddle points

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