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
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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 43E
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa225cd45-db26-47c5-9e87-8d081a833ca9%2F850d8ba0-58bb-4687-93b8-08028620e339%2Forl056s_processed.jpeg&w=3840&q=75)
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](https://content.bartleby.com/qna-images/question/a225cd45-db26-47c5-9e87-8d081a833ca9/17d3719e-3415-4558-8fb0-2b4bb294999f/umnklmg_thumbnail.jpeg)
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
Solution
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