" n 12."x^(y)+y^(x)=1

If x=cosalpha+isinalpha,y=cosbeta+isinbeta," then "x^(m).y^(n)+(1)/(x^(m).y^(n))

If x + y = 1, show that D ^ (n) (x ^ (n) y ^ (n)) = n! [Y ^ (n) - (nC_ (1)) ^ (2) y ^ (n -1) x + (nC_ (2)) ^ (2) y ^ (n-2) x ^ (2) + ...... + (- 1) ^ (n) x ^ (n)]

If 2x=y^(1//n)," then: "x^(2)(y_(1))^(2)=

If the arithmetic mean of x and y be (x^(n+1)+ y^(n+1))/(x^(n) + y^(n)) , then find n.

x^n - y^n = (x-y) (x^(n-1) + x^(n-2) y + … + xy^(n-2) + y^(n-1)) , x,y in R

The coefficient of x^(n) y^(n) in the expansion of [(1 + x)(1+y) (x +y)]^(n) , is

The coefficient of x^(n) y^(n) in the expansion of [(1 + x)(1+y) (x +y)]^(n) , is

Insert : Let (x^(n+1) + y^(n+1))/(x^(n) + y^(n)) be the geometric mean of x and y , find n.

Let f : N to X : f(x) =4x^(2) +12x +15 . " Then " f^(-1)(y)=?