[discussion_vu] MTH101 Paper 02-11-2011

Assalamu Alaykum Warahmatullahi WaBarakatuhu,

 

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

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