3. The ellipse with equation += 1 can be parametrized as follows: a cos(t) bsin(t) where 0≤ t ≤ 27. Find the area of the ellipse. (Hint: Use Green's Theorem with F(x, y) = (-7).) b F(t) = a

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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3. The ellipse with equation ² + 2 = 1 can be parametrized as follows:
F(t) = (a cos(1))
b sin(t)
where 0 ≤ t ≤ 27. Find the area of the ellipse. (Hint: Use Green's
Theorem with F(x, y) = ( ).)
a
Transcribed Image Text:3. The ellipse with equation ² + 2 = 1 can be parametrized as follows: F(t) = (a cos(1)) b sin(t) where 0 ≤ t ≤ 27. Find the area of the ellipse. (Hint: Use Green's Theorem with F(x, y) = ( ).) a
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