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Calculus II Quiz #3 March 11, 2005
Name____________________ R. Hammack Score ______
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(1) Consider the illustrated region which lies between the graphs of y = sin(x) and y = cos(x). Find the area of this region.
(cos(x)-sin(x))
dx=
=sin(π/4)+cos(π/4)-sin(π/4)-cos(π/4)=
+
+
+
=
=2
square
units
(2) Consider
the region contained between y=, x=0,
x=2, y=0. Find the volume of the solid obtained when
this region is rotated around the x-axis.
dx=
π
dx=
=π
=
π
cubic units