Find the values of `a & b` , so that the function, f (x)

Find the values of a and b so that the function f(x) defined by f(x)={(x^2 +ax+b),(0<=x<2),(3x+2) , (2<=x<=4), (2a x+5b), (4 < x <= 8)} becomes continuous on [0,pi].

Find the values of a and b so that the function f(x)={x^(2)+3x+a,quad if quad x is differentiable at each x in R.

Find the values of a and b so that the function f(x)={x^2+3x+a , bx2 ,ifxlt=1ifx >1 is differentiable at each xRdot

Find the values of a and b so that the function f(x)={x^2+3x+a ,\ \ if\ xlt=1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ b x+2,\ \ \ if\ x >1\ \ \ \ \ \ \ is differentiable at each x in R .

Find the values of a and b so that the function f(x)={(x^2+3x+a ,, ifxlt=1), (bx+2 ,, ifx >1):} is differentiable at each x∈R

Find the values of a and b so that the function f(x)={{:(x+asqrt2 sin x", "0 le x le pi//4),(2x cot x + b", "pi//4 le x le pi//2),(a cot 2x - b sin x", "pi//2 lt x le pi):} is continuous for 0 le x le pi .

Find the values of a and b so that the function f given by f(x)={ax+b , if 3 = 5 is continuous at x=3 and x=5.

Find the values of a and b so that the function f given by f(x) ={1, if x = 5 is continuous at x=3 and x=5 .

Find the values of a and b so that the function f given by f(x)={a x+1, b,7, ifxlt=3if3

Find the values of a and b so that the function f given by f(x)={1, if xlt=3a x+b , if 3