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(1 point) Let F =(9 x 2 y +3 y 3 +3 e x ) i +(4 e y 2 +81 x ) j F=(9x2y+3y3+3ex)i+(4ey2+81x)j
(1 point) Let F
=(9x
2
y+3y
3
+3e
x
)i
+(4e
y
2
+81x)j
F=(9x2y+3y3+3ex)i+(4ey2+81x)j
. Consider the line integral of F
F
around the circle of radius a
a
, centered at the origin and traversed counterclockwise.
(a) Find the line integral for a=1
a=1
.
line integral =
(b) For which value of a
a
is the line integral a maximum?
a=
a=
(Be sure you can explain why your answer gives the correct maximum.)
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