Let C be the closed curve oriented in the counterclockwise direction, consisting of the line segment from (0,0) to (2,1), the line segment from (2,1) to (-1,1), and the arc of the parabola y x² from (-1,1) to the origin. Use Green's theorem to compute for the value of = fol (x² − x² − 15y²) dx + (y¹ − y² + 30x²) dy.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
icon
Related questions
Question
Let C be the closed curve oriented in the counterclockwise direction, consisting of the line
segment from (0,0) to (2,1), the line segment from (2,1) to (-1,1), and the arc of the parabola y = x²
from (-1,1) to the origin. Use Green's theorem to compute for the value of
f (x²¹ − x² − 15y��) dx + (y¹ − y² + 30x²) dy.
Transcribed Image Text:Let C be the closed curve oriented in the counterclockwise direction, consisting of the line segment from (0,0) to (2,1), the line segment from (2,1) to (-1,1), and the arc of the parabola y = x² from (-1,1) to the origin. Use Green's theorem to compute for the value of f (x²¹ − x² − 15y��) dx + (y¹ − y² + 30x²) dy.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning