MTH101 Midterm Past Paper Fall 2011

Syed Omer Shah

02-12-2011

Find the point of discontinuing of the given function: 2 Marks f (x) = 3x + 1

X2-7x+12

Find dx at (-5,6) if x2 + y2 =0 2 Marks dy

Determine whether lim 1 – cos |x| exists or not? 3 Marks x−>0 x

if f '(t)= 2t then find the intervals on which the function f(t) increasing and decreasing? 3 Marks

Use an epsilon-delta argument to prove that 5 Marks lim (3x+5) = 35 x−>0

if f(x) = x -5x+6 then find the intervals where the function is concave up and concave down. 5 Marks