`f(x) = { (kx+1, x le pi),( cos x, x >pi):}` If f(x) is continous at `x = pi` then find k.

Find the value of k for which the function f(x)={{:(kx+2 ,"when " xlepi),(cosx," when " xgtpi):} , is continuous at x=pi .

Find the value of k for which the function f(x)={{:(kx+4,"when " xlepi),(cosx," when " xgtpi):} , is continuous at x=pi .

Let f(x)= (1-tanx)/(4x-pi) when 0 le x le (pi)/(2) and x ne (pi)/(4) , if f(x) is continuous at x=(pi)/(4) , then the value of f((pi)/(4)) is -

L e t f(x)=(1-tanx)/(4x-pi),x!=pi/4,x in [0,pi/2], If f(x)i s continuous in [0,pi/4], then find the value of f(pi/4)dot

Let f(x)={{:((1-sin^(3)x)/(3cos^(2)x),"if "x lt(pi)/(2)),(a,"if "x=(pi)/(2)),((b(1-sinx))/((pi-2x)^(2)),"if "x gt(pi)/(2)):}" ," if f (x) is continuous at x=(pi)/(2) , find a and b .

A function phix is defined as follows : phix={{:(-2sinx",","when"-pi le x le (pi)/(2)),(p sin x+q",", "when"-(pi)/(2)lt x lt(pi)/(2)),(cos x",","when" (pi)/(2) le x le pi):} If theta (x) is continous in the interval -pile x le pi , find the values of p and q.

Let f(x) =(1- tanx)/(4x-pi) when 0 le x lt pi/2 and x ne pi/4, If f (x) is defined at x =pi/4, then the value of f ((pi)/(4)) is-

If f(x)={(((1-sin^3x))/(3cos^2x), x lt pi/2), (a, x=pi/2), ((b(1-sinx))/((pi-2x)^2), x gt pi/2):} is continuous at x=pi/2 , then the value of (b/a)^(1/3) is

Find the values of k so that the function f is continuous at the indicated point in Exercises 26 to 29. f(x)={{:(kx+1," if "x le pi),(cos x," if "x gt pi):}" at "x= pi .

If A= {x:pi/6 le x le pi/3} and f(x) = cosx - x(1 + x) then f(A) is equal to-