Find the critical points "f'_x=-2x=0, f'_y=-2y=0" hence "f(0,0)=10" ,"f_{max}=10"
On the border of the area "f(x,y)=10-(x^2+y^2)" hence "f(x,y)\\geq1\\, \\text{and} \\, f(x,y)\\le10"
hence "f_{min}=1"
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