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Use Green's Theorem to calculate the line integral the rectangle 0≤x≤ 2,0 ≤ y ≤ 1. y³dx + x³dy, where C is the boundary of

Use Green's Theorem to calculate the line integral the rectangle 0≤x≤ 2,0 ≤ y ≤ 1. y³dx + x³dy, where C is the boundary of

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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4 Use Green's Theorem to calculate the line integral y³dx + x³dy, where C is the boundary of the rectangle 0 ≤ x ≤ 2,0 ≤ y ≤ 1. If a circle C with radius 1 rolls along the outside of the circle ² +1²= 25, a fixed point P on C with parametric representation (6 cost cos 6t, 6 sin t sin 6t) Use Gr and the area enclosed in this epicycloid. ut a cury is shown
Transcribed Image Text:4 Use Green's Theorem to calculate the line integral y³dx + x³dy, where C is the boundary of the rectangle 0 ≤ x ≤ 2,0 ≤ y ≤ 1. If a circle C with radius 1 rolls along the outside of the circle ² +1²= 25, a fixed point P on C with parametric representation (6 cost cos 6t, 6 sin t sin 6t) Use Gr and the area enclosed in this epicycloid. ut a cury is shown
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