A function `f(x)` is such that `f(x+pi/2)=pi/2-|x|AAxdot Find f(pi/2),ifi te xi s t sdot`

Consider a real valued continuous function f such that f(x)=sinx + int_(-pi//2)^(pi//2) (sinx+t(f(t))dt . If M and m are maximum and minimum values of function f , then the value of M//m is____________.

If f(x)=0 is a quadratic equation such that f(-pi)=f(pi)=0 and f(pi/2)=-(3pi^2)/4, then lim_(x->-pi)(f(x))/("sin"(sinx) is equal to (a) 0 (b) pi (c) 2pi (d) none of these

A function f is defined by f(x)=3-2x . Find x such that f(x^(2))=(f(x))^(2).

A function f is defined by f(x)=3-2x . Find x such that f(x^(2))=(f(x))^(2).

if f(x)= sinx + cosx for 0 < x < pi/2

If f(x)=|x|^(|sinx|), then find f^(prime)(-pi/4)

Find the values of k so that the function f is continuous at the indicated point. f(x)={{:((k cos x)/(pi -2x)," if "x ne (pi)/(2)),(3," if "x= (pi)/(2)):}" at "x=(pi)/(2) .

Let f:(-pi/2,pi/2)vecR be given by f(x)=(log(sec"x"+tan"x"))^3 then a) f(x) is an odd function b) f(x) is a one-one function c) f(x) is an onto function d) f(x) is an even function

Let f(x) be a non-negative continuous function such that the area bounded by the curve y=f(x), the x-axis, and the ordinates x=(pi)/(4) and x=betagt(pi)/(4)" is "beta sin beta +(pi)/(4)cos beta +sqrt(2)beta. Then f'((pi)/(2)) is