[" 8.Pha the values of "a" and "b" so that the function "f(x)={[x^(2)+3x+a," if "x<=1],[bx+2," if "x>1],[bx+2," if "x>1],[bx+2," [NCERTE "]]

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^2+3x+a , bx2 ,ifxlt=1ifx >1 is differentiable at each xRdot

The values of a and b if the function f(x)={{:(x^(2)+3x+a",",xle1),(bx+2",",xgt1):} is differentiable at x =1, are :

Find the values of a and b, if the function f defined as f(x) {(x^2+3x+a, if xle1),(bx+2,if x>1):} is diffentiable at x = 1

Find the relationship between a and b so that the function f defined by f(x)={{:(ax+1-2," if "x le 3),(bx+3," if "x gt 3):} is continuous at x=3.

Find the relationship between a and b so that the function f defined by f(x)={(ax^2-1,xle2),(bx+3,x>2):}

Find the values of a and b so that 2x^(3)+ax^(2)+bx-14 has (x-1) and (x+2) are its factors.

The value of f(0) so that the function f(x)= (cos a x - cos bx)/x^2 , x ne 0 is continuous is given by

Find the relationship between a and b so that the function f defined by f(x)={(ax+1,ifxle2),(bx-3,if x>2):} is continous at x=2.

If the range of the function f(x)=3x^(2)+bx+c is [0,oo) then value of (b^(2))/(3c) is