= √(x − y) dx + 3x dy, I = where C consists of the four line segments from (1,0) to (3,0), then from (3,0) to (3,1), then from (3, 1) to (1, 1), and finally from (1, 1) to (1,0). The closed curve C is a rectangle with the four corners at (1,0), (3,0), (3, 1), (1, 1). In this problem, the value of I is not equal to the area of the rectangle. Rather, the value of I is k times the area of the rectangle. What is the value of k?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 42E
Question
100%

Evaluate the line Integral

=√(x−y) dx + 3x dy,
where C consists of the four line segments from (1,0) to (3,0),
then from (3, 0) to (3, 1), then from (3, 1) to (1, 1), and finally from (1, 1) to (1,0).
The closed curve C is a rectangle with the four corners at (1,0), (3,0), (3, 1), (1, 1).
In this problem, the value of I is not equal to the area of the rectangle. Rather, the value
of I is k times the area of the rectangle. What is the value of k?
I =
Transcribed Image Text:=√(x−y) dx + 3x dy, where C consists of the four line segments from (1,0) to (3,0), then from (3, 0) to (3, 1), then from (3, 1) to (1, 1), and finally from (1, 1) to (1,0). The closed curve C is a rectangle with the four corners at (1,0), (3,0), (3, 1), (1, 1). In this problem, the value of I is not equal to the area of the rectangle. Rather, the value of I is k times the area of the rectangle. What is the value of k? I =
Expert Solution
Step 1

Advanced Math homework question answer, step 1, image 1

steps

Step by step

Solved in 4 steps with 4 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
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,