Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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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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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