Question 6. Let C be the 2-dimensional curve representing the boundary of the region determined by y = x and Y 2, traced counterclockwise. Compute 1 [y²dx + x²dy in two different ways: (1) by definition and (2) by using Green's Theorem.

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 6. Let C be the 2-dimensional curve representing the boundary
of the region determined by y = x and y = x², traced counterclockwise.
Compute
Jo
in two different ways: (1) by definition and (2) by using Green's Theorem.
y²dx + x²dy
Transcribed Image Text:Question 6. Let C be the 2-dimensional curve representing the boundary of the region determined by y = x and y = x², traced counterclockwise. Compute Jo in two different ways: (1) by definition and (2) by using Green's Theorem. y²dx + x²dy
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