G1 is a semi-circle Y: = √4 - X² starting at (2, zero) ends at (-2, zero) while G2 is a directed line segment starting at (-2, zero) ends at (2, zero). Suppose vector F(X, Y)= < X² - y² + cos Y - 1, X³ – XsinY > ● Look for the workdone of vector F in moving a particle along G2 Evaluate by Green's Theorem G₁UGZ FdR 1U G2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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G1 is a semi-circle Y = √4-X² starting at (2, zero) ends at (-2, zero) while G2 is a
directed line segment starting at (-2, zero) ends at (2, zero).
Suppose vector F(X, Y)=< X² - y² + cos Y - 1, X³- XsinY >
Look for the workdone of vector F in moving a particle along G2
Evaluate by Green's Theorem ₁G2FdR
G1U
Transcribed Image Text:G1 is a semi-circle Y = √4-X² starting at (2, zero) ends at (-2, zero) while G2 is a directed line segment starting at (-2, zero) ends at (2, zero). Suppose vector F(X, Y)=< X² - y² + cos Y - 1, X³- XsinY > Look for the workdone of vector F in moving a particle along G2 Evaluate by Green's Theorem ₁G2FdR G1U
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Sorry there was a mistake instead of this as Y^2 can you change it to Y^3? 

G1 is a semi-circle Y = √4-X² starting at (2, zero) ends at (-2, zero) while G2 is a
directed line segment starting at (-2, zero) ends at (2, zero).
Suppose vector F(X, Y)= < X² —(y² + cos Y − 1, X³ – XsinY >
Look for the workdone of vector F in moving a particle along G2
Evaluate by Green's Theorem $₁U₂FdR
G1U G2
Transcribed Image Text:G1 is a semi-circle Y = √4-X² starting at (2, zero) ends at (-2, zero) while G2 is a directed line segment starting at (-2, zero) ends at (2, zero). Suppose vector F(X, Y)= < X² —(y² + cos Y − 1, X³ – XsinY > Look for the workdone of vector F in moving a particle along G2 Evaluate by Green's Theorem $₁U₂FdR G1U G2
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