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TEST #2A (April 20, 2010)
PGE 310
Name:
Signature:
UT EID:
NOTES:
1.
You have 1 hour and 30 minutes. Points will be deducted for
tests turned in after 8:30
2. Write your name on all pages of the test
3. SHOW ALL WORK. Partial (or any credit) cannot be given
for problems without work shown
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Qualitative Questions (20 points)
(a) Using the Taylor series (provided on your equation sheet), derive Newton’s
method for solving for the root o a nonlinear equation.
Show all work
.
(b) Consider the following system of equations. If I used an iterative method
(like Gauss Seidel or Jacobi), am I guaranteed to converge to a solution?
Show your work and explain
. If the answer is NO, then arrange them so
that they are guaranteed to converge.
2
4
3
2
5
2
7
4
2
x
y
z
x
y
z
x
y
z
 +

=
+
+
=

+
+ =
(c) I have “x” versus “y” data. Explain (give
two reasons)
how I would decide
to use curve fitting or interpolation to describe the data?
(d)
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 Spring '06
 Klaus

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