Let `f(x)=(2007)^x/((2007)^x+sqrt(2007))` then the sum `f(1/2007)+f(2/2007)+f(3/2007)+....f((2006)/(2007))` is

Let f(x)=(2007^(x))/(2007^(x)+sqrt(2007)) Then find the value of quad 2007^(x)+sqrt(2007)(1)/(2)+f((2)/(2008))+f((3)/(2008))+...+f((2007)/(2008))

simplify (2^(2009)-2^(2007))/(2^(2006)-2^(2008))

if int_0^1 x(1-x)^(2007//2)dx then it equals

Solve the equation (1)/(2)log_(2007)(x^(2)+5x)=log_(2007)sqrt(x-3)

The value of expression 3(1!)-4(2!)+5(3!)-6(4!).........-2008(2006)!+(2007)! is

The coefficient of x^(2012) in the expansion of (1-x)^(2008)(1+x+x^(2))^(2007), is

Find range of the function f satisfying (2007)^(x) + (2007)^(f(x)) = 2007

Find range of the function f satisfying (2007)^(x) + (2007)^(f(x)) = 2007

If P=[(cos(pi//6),sin(pi//6)),(-sin(pi//6),cos(pi//6))],A=[(1,1),(0,1)]andQ=PAP' then P'Q^(2007)P is equal to a) [(1,2007),(0,1)] b) [(1,sqrt(3//2)),(0,2007)] c) [(sqrt(3//2),2007),(0,1)] d) [(sqrt(3//2),-1//2),(1,2007)]