Given f(x, y) = x3y + x2 + y2 - 2x - y + 4 has a

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Given
f(x, y) = x3y + x2 + y2 - 2x - y + 4
has a stationary point (1, 0). Compute the Hessian of f at (1, 0) and use it to determine whether the stationary point is a local maximum, local minimum or saddle point.
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