Calculate the area enclosed by the curve - y(t) = (6 cost = cos(6t), 6 sint - sin(6t)), t: 0→2π. A sketch of the curve is shown below. -6 -4 2 6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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Calculate the area enclosed by the curve
-
y(t) = (6 cost cos(6t), 6 sint - sin(6t)),
t: 02л.
==
A sketch of the curve is shown below.
-6
-4
-2
6
4
2
y
-2
-4
-6
×
2
4
6
Transcribed Image Text:Calculate the area enclosed by the curve - y(t) = (6 cost cos(6t), 6 sint - sin(6t)), t: 02л. == A sketch of the curve is shown below. -6 -4 -2 6 4 2 y -2 -4 -6 × 2 4 6
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