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Engineering Math
Homework 5
Spring 2009
(due Thursday, March 5)
The following differential form
F • r
is exact.
(You do not need to verify this.)
p
.
p
Š‹
Š
‹
Š
#C
#C
BBB
B
B
#D
"
"
cos
sin
sin
ÐB Ñ
ÐB Ñ
ÐB Ñ
##
#
$$
#
#
.B #C
.C #D
.D
‹
(1)
Find the scalar function
whose gradient is
F .
0ÐBßCßDÑ
p
(2)
Use your answer to the first problem to find the value of the following line integral, where
Eœ
ß"ß#
F œ
ß#ß$
È
È
1
#
and
.
1
'
E
F
’Š
‹
Š
‹
Š
“
#C
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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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