y? = 1 and the vector field F = xy?i+ 2x²y}. (c) The ellipse %3D 4

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 c

2. Calculate the circulation along the given bounding curve and vector field.
(a) The circle of radius a centered at the origin, and the vector field F = -xi + yj.
(b) The square with vertices (0,0), (1,0), (1, 1) and (0, 1), and the vector field F = 3x²yi+ x³j.
x², y?
(c) The ellipse
9.
= 1 and the vector field F = xy?i+ 2x²y}.
4
Transcribed Image Text:2. Calculate the circulation along the given bounding curve and vector field. (a) The circle of radius a centered at the origin, and the vector field F = -xi + yj. (b) The square with vertices (0,0), (1,0), (1, 1) and (0, 1), and the vector field F = 3x²yi+ x³j. x², y? (c) The ellipse 9. = 1 and the vector field F = xy?i+ 2x²y}. 4
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