Let F = (x + e* siny)i + (x + eª cos y)j and the curve C: The right-hand loop of the lemniscate ² = a² cos 20(see figure ) Take a = 1 to find one correct answer : a 0 div F = 1+ 2e* cos y Curl F= 2e cos yk The outward flux is equal to 1/2 The counterclockwise circulation is zero The area bounded by the loop is given by ² cos 20 de 2π
Let F = (x + e* siny)i + (x + eª cos y)j and the curve C: The right-hand loop of the lemniscate ² = a² cos 20(see figure ) Take a = 1 to find one correct answer : a 0 div F = 1+ 2e* cos y Curl F= 2e cos yk The outward flux is equal to 1/2 The counterclockwise circulation is zero The area bounded by the loop is given by ² cos 20 de 2π
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Transcribed Image Text:Let F
(x + e* siny)i + (x + eª cos y)j and
the curve C: The right-hand loop of the
lemniscate r² = a² cos 20(see figure ) Take a
= 1
to find one correct answer :
=
a
0
div F = 1+ 2e cos y
Curl F =
2e cos yk
The outward flux is equal to
The counterclockwise circulation is zero
The area bounded by the loop is given by
-2πT
cos 20 de
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