Find the least and greatest value of `f(x,y) = x^(2) + y ^(2) - xy` where x and y are connected by the relation `x^(2)+4y^(2) = 4`.

Find the least and the greatest value of f(x , y) = x^(2) + y^(2) - xy where x and y are connected by the relation x^(2) + 4y^(2) = 4

Find (dy)/(dx) when x and y are connected by the relation given: (x^(2) + y^(2))^(2)= xy

The greatest value x^2y^3 is, where xgt0 and ygt0 are connected by the relation 3x+4y=5

Find (dy)/(dx) when x and y are connected by the relation given: sin (xy) + (x)/(y) = x^(2)-y

Let f(x,y)=x^(2)+2xy+3y^(2)-6x-2y, where x, y in R, then

Let f(x,y)=x^(2)+2xy+3y^(2)-6x-2y, where x, y in R, then

Find the greatest value of x^(2)y^(3), where x and y lie in the first quadrant on the line 3x+4y=5.

Find the greatest value of x^2 y^3 , where x and y lie in the first quadrant on the line 3x+4y=5 .