[" 10.Find the values of "a" and "b" so that the function "],[qquad f(x)={[(x^(2)+3x+a)," when "x<=1;" is differentiable at each "x=1],[(bx+2)," when "x>1]]

Find the value of 'a' so that Find the values of a and b so that the function defined by f (x) = {{:(ax^(2) + 9x - 5 " if " x lt 1 ), (b " if " x = 1 ),((x + 3) (2x -9) " if " x gt 1 ):} is continuous on R .

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 ,, 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) 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 , 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 x for which the functions f(x)=3x^(2)-1 and g(x)=3+x are equal

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

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.

Determine the value of constant k so that the function f(x) = {{:((x^2 - 2x - 3)/(x + 1)"," ,"if " x != 1),(k",","if " x = 1):}