Consider F= (-y, x).(a) Show that F is conservative by finding a potential o.(b) Let C₁ be the circle of radius 1 centered at the origin parametrized by r(t) = (cost, sin t). EvaluateSo, F.rds.(c) Let C₂ be the unit-speed parameterized curve between (0,1) and (1,0). Calculate fc, F. rds.

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Answered: Consider F= (-y, x). (a) Show that F is…

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 F= (-y, x). (a) Show that F is conservative by finding a potential o. (b) Let C₁ be the circle of radius 1 centered at the origin parametrized by r(t) = (cost, sint). Evaluate F.rds. los (c) Let C₂ be the unit-speed parameterized curve between (0, 1) and (1,0). Calculate fo₂F.rds.