Calculus II 
Test #2
March 20, 2002
Name____________________    
R.  Hammack 
Score ______

(1) Find the area of the region bounded by the curves y = tan(x),   y = 1,  and  x = 0.

 




(2) Consider the region contained under the graph of [Graphics:Images/1S02Dsol_gr_56.gif] between x = 0 and x = 4.
The region is revolved around the x-axis. Find the volume of the resulting solid.

 



(3) Consider the region contained under the graph of [Graphics:Images/1S02Dsol_gr_60.gif]between x = 0 and x = [Graphics:Images/1S02Dsol_gr_61.gif].
The region is revolved around the y-axis. Find the volume of the resulting solid.

 





(4) Consider the curve [Graphics:Images/temp_gr_9.gif] for [Graphics:Images/temp_gr_10.gif]. Find the area of the surface that results when this curve is revolved around the x-axis.

 

 



(5) A variable force pushes an object  3 feet in a straight line. When the object is x feet from its starting point, the force on the object is  [Graphics:Images/temp_gr_20.gif] pounds. How much work is done in moving the object 3 feet?