2. Let D be a polygon in R? with vertices (xi, 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 (x1¥2 – T2Y1) + (x2Y3 – 13Y2) + .. + (xn-1Yn – PnYn–1) + (LnY1 – 21Yn)|.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Let D be a polygon in R2 with vertices (xi, Yi) for i e {1,2, 3, ..., n}, for a fixed integer n.
Use Green's Theorem to show the area of D is:
(x1Y2 – 22Y1) + (x2y3 – X3Y2) +...+ (xn–1Yn
- InYn-1) + (XnYı – x1Yn) .
Transcribed Image Text:2. Let D be a polygon in R2 with vertices (xi, Yi) for i e {1,2, 3, ..., n}, for a fixed integer n. Use Green's Theorem to show the area of D is: (x1Y2 – 22Y1) + (x2y3 – X3Y2) +...+ (xn–1Yn - InYn-1) + (XnYı – x1Yn) .
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