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Let D be a polygon in R² with vertices (x;, Y;) for i e {1,2,3,..., n}, for a fixed integer n Use Green's Theorem to show the area of D is: T2Y1) + (x2y3 – 03Y2) + ...+ (xn-1Yn – TnYn–1) + (XnYı – 21Yn)| . (x1Y2

Let D be a polygon in R² with vertices (x;, Y;) for i e {1,2,3,..., n}, for a fixed integer n Use Green's Theorem to show the area of D is: T2Y1) + (x2y3 – 03Y2) + ...+ (xn-1Yn – TnYn–1) + (XnYı – 21Yn)| . (x1Y2

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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2. Let D be a polygon in R? with vertices (x;, Yi) for i e {1,2,3, ..., n}, for a fixed integer n. Use Green's Theorem to show the area of D is: 1 5(#142 – x2Y1) + (x2Y3 – 23Y2) + ...+ (Xn-1Yn – 2nYn-1) + (®nY1 – #1Yn)|.
Transcribed Image Text:2. Let D be a polygon in R? with vertices (x;, Yi) for i e {1,2,3, ..., n}, for a fixed integer n. Use Green's Theorem to show the area of D is: 1 5(#142 – x2Y1) + (x2Y3 – 23Y2) + ...+ (Xn-1Yn – 2nYn-1) + (®nY1 – #1Yn)|.
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