In Exercises 13-26, a vector field Fand a closed curve C, enclos- ing a region R, are given. Verify Green's Theorem by evaluating both f F. dřand , curl FdA, showing they are equal.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 16EQ
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22. F = (y, x²); C
(1, 1).
C is the triangle with vertices (0, 0), (1, 0),
Transcribed Image Text:22. F = (y, x²); C (1, 1). C is the triangle with vertices (0, 0), (1, 0),
In Exercises 13-26, a vector field Fand a closed curve C, enclos-
ing a region R, are given. Verify Green's Theorem by evaluating
both F. drand f, curl FdA, showing they are equal.
Transcribed Image Text:In Exercises 13-26, a vector field Fand a closed curve C, enclos- ing a region R, are given. Verify Green's Theorem by evaluating both F. drand f, curl FdA, showing they are equal.
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