The value of ` (x-y)(x+y)+(y-x)(y+x)+(x-x)(x+x)`

The value of (x+y)(x-y)+1/(2!)(x+y)(x-y)(x^2+y^2)+1/(3!)(x+y)(x-y)(x^4+y^4+x^2y^2)+ ... is :

The value of lim_(x->y) (x^y-y^x)/(x^x-y^y) is:

If x gt y gt 0 , then find the value of tan^(-1).(x)/(y) + tan^(-1) [(x + y)/(x -y)]

If 7x - 15y = 4x + y , find the value of x: y . Hence, use componendo and dividendo to find the values of : (i) (9x + 5y)/(9x - 5y) (iI) (3x^(2) + 2y^(2))/(3x^(2) - 2y^(2))

For f(x ,y)= 7x +9y , what is the value of f(x,y) when y =((5)/(x))^(2) and x=3 ?

The value of lim_(x->1) y^3/(x^3-y^2-1) as (x, y)-> (1, 0) along the line y = x -1 is

The value of lim_(x->1) y^3/(x^3-y^2-1) as (x, y)-> (1, 0) along the line y = x -1 is

Find the values of x and y. If (i) (x,4)=(-7,y) (ii) (x-3,6)=(4,x+y)

If x - (1)/(x) = y , x ne 0 , find the value of (x- (1)/ (x) - 2y ) ^(3)

When simplified (x^(-1)+y^(-1))^(-1) is equal to (a)\ x y (b) x+y (c) (x y)/(x+y) (d) (x+y)/(x y)