. The components of V are given by the expressions u = x² + y²; v = -2ry Find the integral along the path s between the points (0, 0) and (1, 2) of V. ds for the following three cases: (a) s is a straight line. (b) s is a parabola with its vertex at the origin and opening to the right. (c) s is a portion of the x axis and a straight line perpendicular to it.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 33E
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1. The components of V are given by the expressions
u = x² + y²;
U = -2ry
Find the integral along the path s between the points (0, 0) and (1, 2) of Vds for the
following three cases:
(a) s is a straight line.
(b) s is a parabola with its vertex at the origin and opening to the right.
(c) s is a portion of the x axis and a straight line perpendicular to it.
Transcribed Image Text:1. The components of V are given by the expressions u = x² + y²; U = -2ry Find the integral along the path s between the points (0, 0) and (1, 2) of Vds for the following three cases: (a) s is a straight line. (b) s is a parabola with its vertex at the origin and opening to the right. (c) s is a portion of the x axis and a straight line perpendicular to it.
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