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Engineering Math
Homework 6 Solutions
Spring 2009
The surface is an elliptical disk enclosed by the cylinder
and lying in the plane
BCœ"
##
DœC"
.
r
]
p
Ð?ß@ÑœÒ@
?ß@
?"
!Ÿ?Ÿ#
!Ÿ@Ÿ"
cos
sin
sin
1
F
p
œÒB CßB ßCDÓ
#$
curl F
i
j
k
p
œ
œÒDß!ß#B Ó
ppp
BC B
CD
ââ
```
`B
`C
`D
#
Ð
ÑÐ Ð?ß @ÑÑ œ Ò @
? "ß !ß #@
?Ó
p
p
r
sin
cos
N
i
j
k
p
œ
œÒ!ß@ß@Ó
pp
p
@ ?@ ?@ ?
??
?
sin
cos
cos
cos
sin
sin
Check orientation.
It's wrong.
Use
N
.
p
œ Ò!ß @ß @Ó
)'
'
'
'
GW
V
F •
r
curl
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This note was uploaded on 01/28/2010 for the course ESE 317 taught by Professor Hastings during the Fall '08 term at Washington University in St. Louis.
 Fall '08
 Hastings

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