Consider the two-dimensional vector field :). F(x, y) = %3D xy + x + ey² Evaluate the line integral | F(x, y)dy where is the unit circle line x² + y? = 1, oriented counter-clockwise. Hint: Use Green's Theorem.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Consider the two-dimensional vector field
F(z,v) = (+);
:).
%3D
xY + x + ey²
Evaluate the line integral
| F(x, y)dy
where
is the unit circle line
x² + y? = 1,
oriented counter-clockwise. Hint: Use Green's Theorem.
Transcribed Image Text:Consider the two-dimensional vector field F(z,v) = (+); :). %3D xY + x + ey² Evaluate the line integral | F(x, y)dy where is the unit circle line x² + y? = 1, oriented counter-clockwise. Hint: Use Green's Theorem.
1
2
None of these.
Transcribed Image Text:1 2 None of these.
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