Find the minimum and maximum value of `f(x,y)=7x^(2)+4xy+3y^(2)` subjected to `x^(2) +y^(2) =1`

Find the minimum and maximum values of y in 4x^(2)+12xy+10y^(2)-4y+3=0

find the extreme values of (7x^(2))+(8xy)+(y^(2)) subject to the condition (x^(2))+(y^(2))=1

Find the minimum & maximum values of (x+2)^(2)+(y-1)^(2), if (x-2)^(2)+(y+1)^(2)<=4

Find the maximum and minimum values of the function y=4x^3-3x^2-6x+1

if 2x+y=1 then find the maximum value of x^(2)y

Let x,y in R , then find the maximum and minimum values of expression (x^(2)+y^(2))/(x^(2)+xy+4y^(2)) .

Find the minimum and maximum value of function Z=3x+4y subject to constraints are x>=0,y>=0,x+2y<=10 and 2x+y<=14

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

Find the maximum and minimum values of the function y=4x^3 -15x^2 +12x – 2