A continuous, even periodic function f with period 8 is such that f(0) `=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

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

If f(0)=1,f(2)=3,f^'(2)=5 ,then find the value of int_0^1xf^('')(2x)dx

"If "f(x)=(x-1)^(4)(x-2)^(3)(x-3)^(2)(x-4), then the value of f'''(1)+f''(2)+f'(3)+f'(4) equals

A function f is defined by f(x)=1/(2^(r-1)),1/(2^r)ltxlt=1 (2^(r-1)),r="1,2,3 then the value of int_0^1f(x)dx

If f'(x)=f(x)+int_(0)^(1)f(x)dx ,given f(0)=1 , then the value of f(log_(e)2) is

If f(x) is an odd function, f(1)=3,f(x+2)=f(x)+f(2), then the value of f(3) is________

If f(x) is an odd function, f(1)=3,f(x+2)=f(x)+f(2), then the value of f(3) is________

Let f be a continuous function on R such that f (1/(4n))=sin e^n/(e^(n^2))+n^2/(n^2+1) Then the value of f(0) is

Suppose that f is even, periodic function with period 2, and that f(x) = x for all x in the interval [0, 1]. Then draw the graph of y = f(x).

Suppose that f is an even, periodic function with period 2,a n dt h a tf(x)=x for all x in the interval [0,1] . The values of [10f(3. 14)] is(where [.] represents the greatest integer function) ______