Consider the function f(x,y)=10x^2+14xy+5y^2−18x−14y+12 This function supports a single critical point. Find the coordinates (x0,y0) of the critical point and classify it, using the Hessian criterion, such as local maximum, local minimum or saddle point. Your numerical answer should be: x0+y0+1 if the critical point is a local minimum. x0+y0 if the critical point is a local maximum. x0+y0−1 if the critical point is a saddle point.

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