Find the values of a and b such that the function defined by `f(x)={5, ifxlt=2a x+b , if2

Find the values of a and b such that the function defined by f(x)={{:(5, if xle2), (a x+b , if 2 lt x lt10 ),(21 , ifx ge10):} is a continuous function.

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 sucht that the function f defined by f(x) = {{:((x-4)/(|x-4|)+a, if x lt 4),(a+b,if x =4),((x-4)/(|x-4|)+b, if x gt 4):} is a continous function at x = 4 .

Find the values of a and b , if the function f defined by f(x)={x^2+3x+a ; if xlt=1, b x+2 ; if x >1 is differentiable at x=1

Find the values of a and b such that the function defined by is continuous. f(x) = {(x^(2)+1","," "xle 2),(ax + b",", 2 lt x lt 10),(2x+1",", " "x ge 10):}

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(x)={(x^2+3x+a ,, ifxlt=1), (bx+2 ,, ifx >1):} is differentiable at each x∈R

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

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 ' so that the function f(x) defined by f(x)={(sin^2a x)/(x^2),\ \ \ x!=0\ \ \ 1,\ \ \ \ \ \ \ \ \ x=0 may be continuous at x=0 .