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 so that the function f(x)={a x+5,\ \ \ if\ xlt=2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \x-1,\ \ \ if\ x >2\ \ \ is continuous at x=2

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

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

For what choice of a and b is the function f(x)={x^2\ \ \ ,\ \ \ xlt=c \ \ \ \ \ \a x+b\ \ \ ,\ \ \ x > c is differentiable at x=c .

Find the values of aa n db so that the function f(x)={x^2+3x+a ,ifxlt=1b x+2,ifx >1 is differentiable at each x in Rdot

Find the values of aa n db so that the function f(x)={x^2+3x+a ,ifxlt=1b x+2,ifx >1 is differentiable at each x in Rdot

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 given by f(x) ={1, if x = 5 is continuous at x=3 and x=5 .