A continuous, even periodic function f with period 8 is such that `f(0)=0,f(1)=-2,f(2)=1,f(3)=2,f(4)=3,` then the value of `tan^(-1) tan{f(-5)+f(20)+cos^(-1)(f(-10))+f(17)}` is equal to

A continuous,even periodic function f with period 8 is such that f(0)quad =0.f(1)=2.f(2)=1f(3)=2.f(4)=3 then the value of cos^(-1)(cos(f(9)+2f(20))) is equal to

Iff is a function such that f(0)=2,f(1)=3,f(x+2)=2f(x)-f(x+1), then f(5) is

If f is a function such that f(0) = 2, f(1) = 3, f(x+2) = 2f(x) - f(x + 1), then f(5) is

If f(x) is a quadratic function such that f(0)=2, f(1) =3 and f(4) =42, find the value of f(5) .

Let 'f' be an even periodic function with period ' 4 ' such that f(x)=2^(x)-1,0<=x<=2. The number of solutions of the equation f(x)=1 in [-10,20] are

Let f(x) be continuous and differentiable function everywhere satisfying f(x+y)=f(x)+2y^(2)+kxy and f(1)=2, f(2)=8 then the value of f(3) equals

If f(x) is a quadratic function such that f(0)=3,f(1)=6 and f(2)=11 , then: f(x)=

If f is continuous function in [1,2] such that |f(1)+3|<|f(1)|+3 and |f(2)+10|=|f(2)|+10,(f(2)!=0) then the

Let f(x) be a cubic polynomial on R which increases in the interval (-oo,0)uu(1,oo) and decreases in the interval (0,1). If f'(2)=6 and f(2)=2, then the value of tan^(-1)(f(1))+tan^(-1)(f((3)/(2)))+tan^(-1)(f(0)) equals