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Consider out counterclockwise. fo x²y dx - xy² dy, where C is the boundary of the region 0 ≤ y ≤ √√4 - x², traced Compute the line integral(s) directly. Use Green's Theorem to compute the line integral. Is F conservative? Answer this question in two ways: fields, and (ii) use your results in parts (a) and (b). use the test for conservative vector

Consider out counterclockwise. fo x²y dx - xy² dy, where C is the boundary of the region 0 ≤ y ≤ √√4 - x², traced Compute the line integral(s) directly. Use Green's Theorem to compute the line integral. Is F conservative? Answer this question in two ways: fields, and (ii) use your results in parts (a) and (b). use the test for conservative vector

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider out counterclockwise. fa²y dx - xy² dy, where O' is the boundary of the region 0 ≤ y ≤ √4 - x², traced Compute the line integral(s) directly. Use Green's Theorem to compute the line integral. Is F conservative? Answer this question in two ways: (i) use the test for conservative vector fields, and (ii) use your results in parts (a) and (b).
Transcribed Image Text:Consider out counterclockwise. fa²y dx - xy² dy, where O' is the boundary of the region 0 ≤ y ≤ √4 - x², traced Compute the line integral(s) directly. Use Green's Theorem to compute the line integral. Is F conservative? Answer this question in two ways: (i) use the test for conservative vector fields, and (ii) use your results in parts (a) and (b).
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