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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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Question

Green's theorem establishes a relationship
between integrals within a region of the plane
and the line integral of its boundary, more
specifically we have:
Let C be a simple, closed, piecewise continuous,
positively oriented plane curve and let D be the
region bounded by C. If P and Q have
continuous first-order partial derivatives over
an open region that contains D, then:
Sc Pdx + Q dy = f0
ду
dA
D
Using this theorem, convert the integral
below to a double integral and evaluate the
integral.
So (3y – een z) da + (7x+ Vy4 +1) dy,

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