Evaluate the path integral SF. dr, where F(x, y) = yi + xj and C is the line segment from (0, 0) to (1, 1), which is either formed by (a) paths from (0, 0) to (1,0), and from (1,0) to (1, 1); (b) the curve y = x². By the path (a) the value of the path integral is By the path (b) the value of the path integral is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Evaluate the path integral SF dr, where F(x, y) = yi + xj and C is the line segment from (0, 0) to (1, 1), which is either formed by
(a) paths from (0, 0) to (1, 0), and from (1,0) to (1, 1);
(b) the curve y = x² .
By the path (a) the value of the path integral is
By the path (b) the value of the path integral is
Transcribed Image Text:Evaluate the path integral SF dr, where F(x, y) = yi + xj and C is the line segment from (0, 0) to (1, 1), which is either formed by (a) paths from (0, 0) to (1, 0), and from (1,0) to (1, 1); (b) the curve y = x² . By the path (a) the value of the path integral is By the path (b) the value of the path integral is
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