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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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Question

Let F = -yi+xj and let C be a curve consists of the line segment C₁ from (0,0) to
(4,0) followed by the upper semicircle C₂ of the circle x² + y² = 4x, with counterclock-
wise orientation.
(a) Sketch the given curve C.
(b) Identify parametric representations for C₁ and C₂.
(c)
Show that Green's Theorem is satisfied by evaluating both the line integral
and the double integral for the given vector field F and curve C.

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