Let `xa n dy` be two real variable such that `x >0a n dx y=1` . Find the minimum value of `x+y` .

Suppose xa n dy are real numbers and that x^2+9y^2-4x+6y+4=0 . Then the maximum value of ((4x-9y))/2 is__________

If x,y in R^(+) such that x + y = 8, then find the minimum value of (1 + (1)/(x)) (1 + (1)/(y))

Let x, y be positive real numbers and m, n be positive integers, The maximum value of the expression (x^(m)y^(n))/((1+x^(2m))(1+y^(2n))) is

If m is the minimum value of f(x , y)=x^2-4x+y^2+6y when xa n dy are subjected to the restrictions 0lt=xlt=1a n d0lt=ylt=1, then the value of |m| is________

xa n dy are the sides of two squares such that y=x-x^2 . Find the rate of the change of the area of the second square with respect to the first square.

xa n dy are the sides of two squares such that y=x-x^2 . Find the rate of the change of the area of the second square with respect to the first square.

If xa n dy are real numbers such that 2log(2y-3x)=logx+logy ,then find x/y .

The changes in a function y and the independent variable x are related as dy/dx=x^2 . Find y as a function of x.