MTH 121 — Summer — 2005
Essex County College — Division of Mathematics
Quiz # 101— Printed June 15, 2005
Name:
Signature:
Show all work clearly and in order, and box your final answers . Justify your answers alge-
braically whenever possible. You have 20 minutes to take this 10 point quiz. When you do use
your calculator, sketch all relevant graphs and write down all relevant mathematics.
1. Use the method discussed in class to find an expression for the area under the graph of f
as a limit.
f(x) = p1−x2, x = 0, x = 1, y = 0.
In[2]:=
Plot@Sqrt@1-x^ 2D,8x, 0, 1<, AspectRatio ØAutomaticD
0.2 0.4 0.6 0.8 1
0.2
0.4
0.6
0.8
1
Out[2]=
Ü Graphics Ü
Untitled-1 1
Figure 1: Graph of f(x) = √1−x2on the interval [0,1].
2. Use the graph and your knowledge of geometry to find this area.
Z1
0p1−x2dx
1This document was prepared by Ron Bannon using L
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