The value of `f(x)=3sinsqrt(((pi^2)/(16)-x^2))` lie in the interval____

The value of f(x)=3cos(sqrt ((pi^2)/(16)-x^2)) lie in the interval____

Let f be a differentiable function satisfying int_(0)^(f(x))f^(-1)(t)dt-int_(0)^(x)(cost-f(t)dt=0 and f((pi)/2)=2/(pi) The value of int_(0)^(pi//2) f(x)dx lies in the interval

The maximum value of the function f(x)=sin(x+pi/6)+cos(x+pi/6) in the interval (0,pi/2) occurs at pi/(12) (b) pi/6 (c) pi/4 (d) pi/3

Find the range of the function f(x)=3 sin (sqrt((pi^(2))/(16)-x^(2))).

(sinsqrt(x))/(sqrt(x))

The value of a for which all extremum of function f(x)=x^(3)+3ax^(2)+3(a^(2)-1)x+1 , lie in the interval (-2, 4) is

Verify Mean Value Theorem, if f(x)= x^(3)-5x^(2)-3x in the interval [a,b], where a=1 and b=3. Find all c in (1, 3) for which f'(c )=0 .

Compute the value of 'c' satisfied by the Rolle's theorem for the function . f(x) = log ((x^(2) + 6)/(5x)) in the interval [2,3].

Prove that the least positive value of x , satisfying tanx=x+1, lies in the interval (pi/4,pi/2)