The circle of radius a centered at the origin, and the vector field F = -i + yj.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Please solve for each different field

2. Calculate the circulation along the given bounding curve and vector field.
The circle of radius a centered at the origin, and the vector field F = -xi + yj.
The square with vertices (0,0), (1,0), (1, 1) and (0, 1), and the vector field F = 3x²yî + x³}.
x2
The ellipse
y?
= 1 and the vector field F = xy?î + 2x²y}.
4
Transcribed Image Text:2. Calculate the circulation along the given bounding curve and vector field. The circle of radius a centered at the origin, and the vector field F = -xi + yj. The square with vertices (0,0), (1,0), (1, 1) and (0, 1), and the vector field F = 3x²yî + x³}. x2 The ellipse y? = 1 and the vector field F = xy?î + 2x²y}. 4
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