Calculus II |
Test #2
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March 20, 2002
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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 x-axis. 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 y-axis. 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 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
pounds. How much work is done in moving the object 3 feet?