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ಶಿರ (5 SEE FOOTY SEES ಆw 8 Ste followಳ ತಾಸ 35 Jsea(k) — [ S (೧) ಓ ತಕbo, AK, ಚಾರುಕೀ IS Of Men K 068 7 SS 5 , Swepic, closet, 888WSE CಘಾಲS ಹಾರ ತಂತಿಗಳg weಾಸen, ಘಾಸ – ಕ ಸಾಹಸ

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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Calculate to justify the following statements Strictly justify the following statement Area(k) S sinxy -dx + -dy Y sinry – xy X (a) the symbol Area(K), indicates the area of area K ; (b)the y curve is flat, simple, closed, piecewise continuous and positively oriented; and K the region delimited by Y
Transcribed Image Text:Calculate to justify the following statements Strictly justify the following statement Area(k) S sinxy -dx + -dy Y sinry – xy X (a) the symbol Area(K), indicates the area of area K ; (b)the y curve is flat, simple, closed, piecewise continuous and positively oriented; and K the region delimited by Y
Expert Solution
Step 1

To justify the statement, here we can use Greens theorem for plane region. 

Greens Theorem: If C is a simple, continuous and positively positively oriented closed curve inclosing a region A then:

∮C udx+vdy =∫∫A ∂v∂x-∂u∂y dA

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