What is the minimum value of `f(x,y) = x^2 + y^2 + 6x + 12` ?

Find the minimum value of f(X)=x^(2)-5x+6 .

Find the minimum value of y=x^2+2x+2

If m is the minimum value of f(x,y)=x^(2)-4x+y^(2)+6y when x and y are subjected to the restrictions 0<=x<=1 and 0<=y<=1, then the value of |m| is

Let y=x^2+ x , the minimum value of y is

The minimum value of 2x+3y, when xy=6 is

If x+y=12 , then minimum value of x^(2)+y^(2) is

What is the value of function for x=2? f ( x ) = (4 x^2 + 12 x + 25)/ (7 x + 6)

Let f(x ,y)=x y^2 if xa n dy satisfy x^2+y^2=9 then the minimum value of f(x ,y) is 0 (2) -3sqrt(3) -6sqrt(3) (4) -3sqrt(6)

If y ^(2)(y^(2) -6) + x ^(2) -8x +24 =0 and the minimum value of x ^(2) + y^(4) is m and maximum value is M, then find the value of M-2m.

The point at which the minimum value of z = 8x + 12y subject to the constraints 2x +y ge 8, x + 2y ge 10 x ge 0, y ge 0 is obtained is