Question

Find the absolute maximum and minimum of f(x,y)=5x+5y with the domain x^2+y^2 less than or equal...

Find the absolute maximum and minimum of f(x,y)=5x+5y with the domain x^2+y^2 less than or equal to 2^2

Suppose that f(x,y) = x^2−xy+y^2−2x+2y with D={(x,y)∣0≤y≤x≤2}

  1. The critical point of f(x,y)restricted to the boundary of D, not at a corner point, is at (a,b)(. Then a=
    and b=    
  2. Absolute minimum of f(x,y) is     
    and absolute maximum is     .

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