[" 6.find the relation between a and "b" ,where "f(x)" is continous at "x=3" ) "],[" where "f(x)={[ax+1,x<=3],[bx+3,x>3]]

Find the relation between a and b if lim_(x to 3) f(x) exists where f(x) ={ {:( ax+b , "if " x gt 3),(3ax - 4b +1 , "if " x lt 3):}

Find the relation between a and b if lim_(x to 3) f(x) exists where f(x)={:{(ax+b,if , x gt 3),(3ax-4b+1, if , x lt 3):}

Find the relation between a and b if lim_(xto3)f(x) exists where f(x)={{:(ax+1," if "xle3),(bx+3," if "xgt3):}

Find the relationship between a and b so that the function f defined by f(x)=ax+1, if x 3 is continuous at x=3.

Find the relation between 'a' and 'b' if the function f defined by f(x)={(ax+1,xle3),(bx+3,x>3):} is continuous.

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.

Find a if f’ (a) =0, where f(x) =x^3- 3x^2 + 3x-1 .

Find the approximate value of : f(3,02), where f(x) = 3x^2 + 15x + 3