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) Prove part (a) assuming that the domain D enclosed by the simple closed curve C with positive orientation is of the form D={(x,y) | a ≤ y ≤ b, g(y) ≤x≤ 92(9)}, where gi(y), 92(y) are continuous functions, and a, b are some real numbers.

) Prove part (a) assuming that the domain D enclosed by the simple closed curve C with positive orientation is of the form D={(x,y) | a ≤ y ≤ b, g(y) ≤x≤ 92(9)}, where gi(y), 92(y) are continuous functions, and a, b are some real numbers.

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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Here's part (a) " State the Green theorem in the plane"

1) Prove part (a) assuming that the domain D enclosed by the simple closed curve C with positive orientation is of the form D = {(x,y) | a ≤ y ≤ b, gi(y) ≤ x ≤ 92(y)}, where gi(y), 92(y) are continuous functions, and a, b are some real numbers.
Transcribed Image Text:1) Prove part (a) assuming that the domain D enclosed by the simple closed curve C with positive orientation is of the form D = {(x,y) | a ≤ y ≤ b, gi(y) ≤ x ≤ 92(y)}, where gi(y), 92(y) are continuous functions, and a, b are some real numbers.
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