Calculus I 
Quiz # 9
November 13, 2002
Name____________________ 
R.  Hammack 
Score ______
(1) Simplify the following expressions as much as possible.
(a)    [Graphics:Images/quiz9sol_gr_1.gif][Graphics:Images/quiz9sol_gr_2.gif]
(b)     [Graphics:Images/quiz9sol_gr_3.gif][Graphics:Images/quiz9sol_gr_4.gif]
(c)     [Graphics:Images/quiz9sol_gr_5.gif] 0
(d)    [Graphics:Images/quiz9sol_gr_6.gif]1/2
(e)     [Graphics:Images/quiz9sol_gr_7.gif][Graphics:Images/quiz9sol_gr_8.gif]

(2)   Solve the equation   [Graphics:Images/quiz9sol_gr_9.gif] for x.
   [Graphics:Images/quiz9sol_gr_10.gif]
  [Graphics:Images/quiz9sol_gr_11.gif]
  [Graphics:Images/quiz9sol_gr_12.gif]
  [Graphics:Images/quiz9sol_gr_13.gif]  
  [Graphics:Images/quiz9sol_gr_14.gif]


(3)   Solve the equation   [Graphics:Images/quiz9sol_gr_15.gif]  for x.[Graphics:Images/quiz9sol_gr_16.gif]
 [Graphics:Images/quiz9sol_gr_17.gif]
 [Graphics:Images/quiz9sol_gr_18.gif]
    [Graphics:Images/quiz9sol_gr_19.gif]
    [Graphics:Images/quiz9sol_gr_20.gif]  
  [Graphics:Images/quiz9sol_gr_21.gif]  (Note: negative root doesn't check back into the equation we are trying to solve.)
  
(4) Sketch the graph of [Graphics:Images/quiz9sol_gr_22.gif]. This is just the graph of y = ln(x) shifted 3 units left, as drawn in red. [Graphics:Images/quiz9sol_gr_23.gif]