= √(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?
= √(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
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