Let `f(x)=sqrt(3)sin(ax)+cos(bx)-k` ,where "a,b&k are real constant.`If "a=b=k=1,` then general solution of `f(x)=0`is

Let f(x)=a+b|x|+c|x|^(2) , where a,b,c are real constants. The, f'(0) exists if

Let f(x)=ax^(2)-b|x| , where a and b are constant . Then at x=0 , f(x) has

Let f(x) =ax^(2) -b|x| , where a and b are constants. Then at x = 0, f (x) is

Let f(x)=ax^(2)+bx+c where a,b and c are real constants.If f(x+y)=f(x)+f(y) for all real x and y, then

The function f(x) is defined by f(x)=cos^(4)x+K cos^(2)2x+sin^(4)x, where K is a constant.If the function f(x) is a constant function,the value of k is

Let f(x)=x^(3)+ax^(2)+bx+c , where a, b, c are real numbers. If f(x) has a local minimum at x = 1 and a local maximum at x=-1/3 and f(2)=0 , then int_(-1)^(1) f(x) dx equals-

Let f(x) =ax^2+bx+c where a,b,c are real numbers. Suppose f(x)!=x for any real number x. Then the number of solutions for f(f(x))=x in real numbers x is

Let f:(0,1)rarr R be defined by f(x)=(b-x)/(1-bx), where b is constant such that 0

Let f_(k)(x)=(1)/(k)(sin^(k)x+cos^(k)x) where x in R and k>=1. Then f_(4)(x)-f_(6)(x) equals