Suppose F(z, y) = xyi + (x – y)j and C is the triangle from (4,0) to (-4,0) to (0, 4) to (4,0). (a) Find the line integral of F along each segment of the triangle. Along C1, the line segment from (4,0) to (-4, 0), the line integral is Along C2, the line segment from (-4, 0) to (0, 4), the line integral is Along C3, the line segment from (0, 4) to (4,0), the line integral is (b) Find the circulation of F around C. Circulation = (c) Find the circulation of F around -C. Circulation = Submit answer

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Suppose F(z, y) = xyi + (x – y)j and C is the triangle from (4,0) to (-4,0) to (0, 4) to (4,0).
(a) Find the line integral of F along each segment of the triangle.
Along C1, the line segment from (4,0) to (-4, 0), the line integral is
Along C2, the line segment from (-4, 0) to (0, 4), the line integral is
Along C3, the line segment from (0, 4) to (4,0), the line integral is
(b) Find the circulation of F around C.
Circulation =
(c) Find the circulation of F around -C.
Circulation =
Submit answer
Transcribed Image Text:Suppose F(z, y) = xyi + (x – y)j and C is the triangle from (4,0) to (-4,0) to (0, 4) to (4,0). (a) Find the line integral of F along each segment of the triangle. Along C1, the line segment from (4,0) to (-4, 0), the line integral is Along C2, the line segment from (-4, 0) to (0, 4), the line integral is Along C3, the line segment from (0, 4) to (4,0), the line integral is (b) Find the circulation of F around C. Circulation = (c) Find the circulation of F around -C. Circulation = Submit answer
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