Use Green's Theorem to evaluate the following integral, S (et² +24y³) dx + (8y5 – 24x³) dy where C is the curve that starts at the origin, and then goes along a straight line to the point (√√10,√10), and then along the arc of the circle x² + y² = 20 from the point (√10,√√10) to the point (0, 2√√5), and then along a straight line back to the origin.
Use Green's Theorem to evaluate the following integral, S (et² +24y³) dx + (8y5 – 24x³) dy where C is the curve that starts at the origin, and then goes along a straight line to the point (√√10,√10), and then along the arc of the circle x² + y² = 20 from the point (√10,√√10) to the point (0, 2√√5), and then along a straight line back to the origin.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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Question
![Use Green's Theorem to evaluate the following integral,
L
(er²
+24y³) dx + (8y5 - 24x³) dy
where C is the curve that starts at the origin, and then goes along a straight line to the point (√10,√10), and then
along the arc of the circle x² + y² = 20 from the point (√10,√√10) to the point (0, 2√√5), and then along a
straight line back to the origin.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff316efbb-9e65-469e-bdde-f3c49a257ac3%2F6b8f428d-774c-40a6-9250-ae08e5d867f4%2Fjm8nfwy_processed.png&w=3840&q=75)
Transcribed Image Text:Use Green's Theorem to evaluate the following integral,
L
(er²
+24y³) dx + (8y5 - 24x³) dy
where C is the curve that starts at the origin, and then goes along a straight line to the point (√10,√10), and then
along the arc of the circle x² + y² = 20 from the point (√10,√√10) to the point (0, 2√√5), and then along a
straight line back to the origin.
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