i) Use Green's theorem to show that the area bounded by a simple closed curve c is given by Arca=(-1,0). dr ii) Find the area bounded by r(t) = (cost, sint cost), -7/2 < t < π/2.
i) Use Green's theorem to show that the area bounded by a simple closed curve c is given by Arca=(-1,0). dr ii) Find the area bounded by r(t) = (cost, sint cost), -7/2 < t < π/2.
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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Transcribed Image Text:c) i) Use Green's theorem to show that the area bounded by a simple closed curve c is given by
Area = [(-y,0). dr
ii) Find the area bounded by r(t) = (cost, sint cost), -1/2 < t < π/2.
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