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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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
Transcribed Image Text:C'sthe closed path that consists first of the line y- z, trom (0,0) to (2,4), then of the straight line from (2,4) to (0,6), and then the striaght line from
10.4) to (0,01, as shown in the Figure below. The path is in the presence of a vctor field given by F = 7zyi + 6z²j.
(24)
Calculate the line integral S.F • dg along the three curves.
Curve 1, where y = :
Curve 2, where y= -z+6:
Curve 3, where z = 0:
Total along the three curves:
S. F• dg=
Note: round all answers to 2 decimal places.
Use Green's Theorem to evaluate the line integral f. v • dr, around the closed curve Coriented clockwise. Use a yertical slice.
dy
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