if `f(x)={-4sinx+cosx ` for `xle-pi/2` and `f(x)=cosx+2` for `x>pi/2}` is continuous ; then value of `a-b` is

If f(x) = -4sinx+cosx for x =pi/2 is continuous then

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

If f(x)={(-4sinx+cosx, "for",xle-(pi)/2),(a sin x+b,"for",-(pi)/2ltxlt(pi)/2),(cosx+2,"for",xge(pi)/2):} is continuous, then

If f(x)={(-4sinx+cosx, "for",xle-(pi)/2),(a sin x+b,"for",-(pi)/2ltxlt(pi)/2),(cosx+2,"for",xge(pi)/2):} is continuous, then

If f(x)={(mx+1" , if "xle(pi)/(2)),(sinx+n" , if "xgt(pi)/(2)):} , is continuous at x= (pi)/(2) , then

the function f(x)=(6/5)^((tan6x)/(tan5x)) if x is 0 to pi/2 and f(x)=b+2 if x=pi/2 and f(x)=(1+|cosx|)^{(a*|tanx|)/b} if x is pi/2 to pi Determine the values of a&b. if f is continuous at x=pi/2

If f(x)={((sin(cosx)-cosx)/((pi-2x)^2) ,, x!=pi/2),(k ,, x=pi/2):} is continuous at x=pi/2, then k is equal to

Consider the function f(x)={{:(-2sinx,"for",xle-(pi)/(2)),(Asinx+B,"for",-(pi)/(2)lexle(pi)/(2)),(cosx,"for",xge(pi)/(2)):} which is continuous at everywhere The value of B is

Consider the function f(x)={{:(-2sinx,"for",xle-(pi)/(2)),(Asinx+B,"for",-(pi)/(2)lexle(pi)/(2)),(cosx,"for",xge(pi)/(2)):} which is continuous at everywhere The value of A is