Evaluate the line integral by following the given steps. O (4x – 2y) dx + (2x + 4y) dy C is the circle x? + y = 9. %3D The curve C can be parametrized by r(t) = <3cos(t), 3sin(t)> Σ, tε Σ 2pi E Σ| (use the most natural parametrization) Express the line integral in terms of t ф (4х — 2у) dx + (2x + 4y) dy — Σdt. where Σ b = 2pi Σ Evaluate the integral O (4x – 2y) dx + (2x + 4y) dy = Σ %3D

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Evaluate the line integral by following the given steps.
O (4x – 2y) dx + (2x + 4y) dy
C is the circle x? + y = 9.
%3D
The curve C can be parametrized by
r(t) = <3cos(t), 3sin(t)>
Σ, tε
Σ
2pi E
Σ|
(use the most natural parametrization)
Express the line integral in terms of t
ф (4х — 2у) dx + (2x + 4y) dy —
Σdt.
where
Σ
b = 2pi
Σ
Transcribed Image Text:Evaluate the line integral by following the given steps. O (4x – 2y) dx + (2x + 4y) dy C is the circle x? + y = 9. %3D The curve C can be parametrized by r(t) = <3cos(t), 3sin(t)> Σ, tε Σ 2pi E Σ| (use the most natural parametrization) Express the line integral in terms of t ф (4х — 2у) dx + (2x + 4y) dy — Σdt. where Σ b = 2pi Σ
Evaluate the integral
O (4x – 2y) dx + (2x + 4y) dy =
Σ
%3D
Transcribed Image Text:Evaluate the integral O (4x – 2y) dx + (2x + 4y) dy = Σ %3D
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