If `x ,y in R^+` satisfying `x+y=3,` then the maximum value of `x^2y` is.

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

If x+y=28 , then the maximum value of x^(3)y^(4) is

If x+y=3 then show that the maximum value of x^(2) y is 4.

If y=x^(3)-3x . Find the maximum value of y.

If real numbers x and y satisfy (x+5)^(2)+(y-12)^(2)=196 , then the maximum value of (x^(2)+y^(2))^((1)/(3)) is

If tan x=n tan y,n in R^(+) then the maximum value of sec^(2)(x-y) is

If x and y are two positive numbers such that x+y=32, then the maximum value of x^2+y^2 is ,

If x+y=4 and x>=0,y>=0 find the maximum value of x^(3)y.

If x,y in R satisfy the equation x^(2)+y^(2)-4x-2y+5=0, then the value of the expression ((sqrt(x)-sqrt(y))^(2)+4sqrt(xy))/((x+sqrt(xy))) is

If (x,y) lies on circle x^(2)+y^(2)=1, then maximum value of (x+y)^(2)