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
between x = 0 and x = 4.
The region is revolved around the xaxis. Find the volume of the resulting
solid.
(3) Consider the region contained under the graph of between
x = 0 and x = .
The region is revolved around the yaxis. Find the volume of the resulting
solid.
(4) Consider the curve
for .
Find the area of the surface that results when this curve is revolved around
the xaxis.
(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
pounds. How much work is done in moving the object 3 feet?