Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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1. (10 Points.) Consider the curve (in the plane) formed by: the line segment from (2, 0) to (5, 0), the part
of the circle of radius 5 (about the origin) from (5,0) to (0, 5), the line segment from (0, 5) to (0,4), and the
part of the parabola y = 4 - x² from (0, 4) to (2, 0).
Orient this curve so that the direction of travel on the first line segment is from (2, 0) to (5,0).
Let f(x, y) = ln √√x² + y². Calculate the flux of Vf across this curve (with the given orientation).
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Transcribed Image Text:1. (10 Points.) Consider the curve (in the plane) formed by: the line segment from (2, 0) to (5, 0), the part of the circle of radius 5 (about the origin) from (5,0) to (0, 5), the line segment from (0, 5) to (0,4), and the part of the parabola y = 4 - x² from (0, 4) to (2, 0). Orient this curve so that the direction of travel on the first line segment is from (2, 0) to (5,0). Let f(x, y) = ln √√x² + y². Calculate the flux of Vf across this curve (with the given orientation).
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