Let `f(0)=f(0)=0 and f^(primeprime)(x)=sec^4x+4` then

Let g(x)=2f(x/2)+f(1-x) and f^(primeprime)(x)<0 in 0<=x<=1 then g(x)

If f(x) is continuous in [0,pi] such that f(pi)=3 and int_0^(pi/2)(f(2x)+f^(primeprime)(2x))sin2x dx=7 then find f(0).

Let f(x) be a function such that,f(0)=f'(0)=0,f''(x)=sec^(4)x+4 then the function is

A function f: R->R satisfies sinxcosy(f(2x+2y)-f(2x-2y)=cosxsiny(f(2x+2y)+f(2x-2y))dot If f^(prime)(0)=1/2,t h e n (a) f^(primeprime)(x)=f(x)=0 (b) 4f^(primeprime)(x)+f(x)=0 (c) f^(primeprime)(x)+f(x)=0 (d) 4f^(primeprime)(x)-f(x)=0

A function f: R->R satisfies sinxcosy(f(2x+2y)-f(2x-2y)=cosxsiny(f(2x+2y)+f(2x-2y))dot If f^(prime)(0)=1/2,t h e n (a) f^(primeprime)(x)=f(x)=0 (b) 4f^(primeprime)(x)+f(x)=0 (c) f^(primeprime)(x)+f(x)=0 (d) 4f^(primeprime)(x)-f(x)=0

Given f(0)=0;f'(0)=0 and f''(x)=sec^(2)x+sec^(2)x tan^(2)x+ then f(x)=

Let f(x) be a polynomial satisfying f(0)=2f'(0)=3 and f'(x)=f(x) then f(4) equals

Let f(x) be a polynomial satisfying f(0)=2 , f'(0)=3 and f''(x)=f(x) then f(4) equals

Let f(x) be a polynomial satisfying f(0)=2 , f'(0)=3 and f''(x)=f(x) then f(4) equals

Let f(x) be a polynomial satisfying f(0)=2 , f'(0)=3 and f''(x)=f(x) then f(4) equals