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ChE 348 Homework # 9
___________________________________________Due: Thursday, 11 November 2010
1.
Evaluate
by hand
the following double integral:
( )
∫∫
−
+
−
1
1
2
0
3
2
2
2
dxdy
xy
y
x
(a) analytically; (b) using a multiple application trapezoidal rule, with n = 1; (c) using
single applications of Simpson’s rule.
For (b) and (c), compute the percent relative
error.
2.
Evaluate
by hand
the following triple integral:
( )
dz
dxdy
xy
x
∫∫∫
−−
−
2
2
2
0
1
3
3
3
(a) analytically; (b) using a multiple application trapezoidal rule, with n = 2; (c) using
single applications of Simpson’s rule. For (b) and (c), compute the percent relative
error.
3.
Prepare a program for the trapezoidal rule.
With it, prepare a table of values of
T
n
(f)
for
n
= 2, 4, 8 for the following integrals.
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This note was uploaded on 11/28/2010 for the course CHE 348 taught by Professor Chelikowsky during the Spring '08 term at University of Texas at Austin.
 Spring '08
 Chelikowsky

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