" If "f(x)={[x^(2)+ax+b,,0<=x<2],[3x+2,,2<=x<=4" is continuous on "[0,8]," find the values of "a" and "b],[2ax+5b,,4

If f(x)={ax^(2)+b,x 1;b!=0, then f(x) is continuous and differentiable at x=1 if

The function f(x) Is defined as follows : f(x)={{:(x^(2)+ax+b" , "0lexlt2),(3x+2" , "2lexle4),(2ax+5b" , "4ltxle8):} . If f(x) is continuous on [0,8], find the values of 'a' and 'b'.

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].

" If "f(x)={[sin2x,,-2<=x<=0],[ax+b,,0<=x<=2]" ,is differentiable everywhere in "(-2,2)," then "(a,b)" equals."

If f(x) = {{:( e^(x) +ax ,"for " x lt 0 ),( b(x-1) ^(2) ,"for " xge 0):}, is differentiable at x =0,then (a,b) is

If f(x) = {{:( e^(x) +ax ,"for " x lt 0 ),( b(x-1) ^(2) ,"for " xge 0):}, is differentiable at x =0,then (a,b) is

Find the value of 'a' and 'b' lim_(x to 2) and lim_(x to 4) exists where f(x){{:(x^(2)+ax+b,0lexlt2),(3x+2,2lexle4),(2ax+5b,4ltxle8):}