Let C' be the circle of equation a² + (y - 2)2 in counterclockwise direction. a) Find the counterclockwise circulation of F(x, y) = (x², #) around C.
Let C' be the circle of equation a² + (y - 2)2 in counterclockwise direction. a) Find the counterclockwise circulation of F(x, y) = (x², #) around C.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let C' be the circle of equation a² + (y - 2)2 in counterclockwise direction.
a) Find the counterclockwise circulation of F(x, y) = (x², 4) around C.
b) Find the outward flux of the vector field F(x, y) = (ln(x² + y²), cos(x)) across C.
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