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math_150b_quiz.docxName ____________________________________
Class Time _______________________________
Math 150B Quiz #11 Fall 2013
Show your work! Be thorough in all explanations!
1. Find the Maclaurin Series for using the definition of Maclaurin Series.
2. Find the Taylor series for centered at .
3. Sketch the curve of the parametric equations and with by plotting points. Indicate with an arrow the direction in which the curve is traced as t
increases. Then eliminate the parameter to find a Cartesian equation of the curve.
Name ____________________________________
Class Time _______________________________
Math 150B
Quiz #11
Fall 2013
Show your work! Be thorough in all explanations!
1. Find the Maclaurin Series for
??
?
??
?
=
?
1
-
??
?
-
2
using the definition of Maclaurin Series.
2. Find the Taylor series for
??
?
??
?
=
??
2
??
centered at
??
=
3
.
3.
Sketch the curve of the parametric equations
??
=
??
-
1
and
??
=
??
3
+
1
with
??
?
?
-
2
,
2
?
by
plotting points. Indicate with an arrow the direction in which the curve is traced as
t
increases. Then eliminate the parameter to find a Cartesian equation of the curve.
