Find the values of `aa n db` if `f(x)={a x^2+1,xlt=1x^2+a x+b ,x >1i sd iffe r e n t i a b l ea tx=1`

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

Find 'a' and 'b', if the function given by: f(x)={{:(ax^(2)+b", if "xlt1),(2x+1", if "xge1):} is differentiable at x = 1.

Find the values of aa n db so that the function f(x) defined by f(x)={x^2+a x+b,0lt=x<2 3x+2,2lt=xlt=42a x+5b ,4

Find the value of x where f(x)={x ,\ if\ x\ r a t ion a l1-x ,\ if\ x\ i s\ irrational\ is\ contiuous.

If f(x)={x ,\ xlt=1x^2+b x+c ,\ x >1 , then find the values of b\ a n d\ c if f(x) differentiability at x=1.

The area of the closed figure bounded by x=-1,x=2,a n d y={-x^2+2,xlt=1 2x-1,x >1a n dt h ea b s c i s s aa xi si s (16)/3s qdotu n i t s (b) (10)/3s qdotu n i t s (13)/3s qdotu n i t s (d) 7/3s qdotu n i t s

Show that f(x)={(x-|x|)/(2),2 w h e nx!=0i sd i s con t inuou sa tx=0dotw h e nx=0

If the function f(x)={A x-B ,xlt=1 3x ,1

If f(x)={x^2+3x+a ,xlt=1b x+2,forx >1 is everywhere differentiable, find the values of aa n dbdot