Let it be D Level R² an area on the edge of which ôD is parameterization Check that the curve C is closed and defines a level range D area. r(t) = Help: Select such a vector field F(x, y) = F₁(x, y)i + F₂(x, y)jthat and apply Green's theorem. Area (D) x(t) y(t) = = OF 2 Əx 1t 1+t³ 1t² 1+13 OF ,0 ≤ t <∞0. = 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Let it be D Level R2 an area on the edge of which ôD is parameterization
Check that the curve C is closed and defines a level range D area.
r(t) =
Help: Select such a vector field F(x, y) = F₁(x,y)i + F₂(x, y)jthat
and apply Green's theorem.
Area(D) =
x(t)
y(t)
=
aF2
Əx
1t
1+t³
1t²
1+t³
aF1
by
,0 < t <∞0.
= 1
Transcribed Image Text:Let it be D Level R2 an area on the edge of which ôD is parameterization Check that the curve C is closed and defines a level range D area. r(t) = Help: Select such a vector field F(x, y) = F₁(x,y)i + F₂(x, y)jthat and apply Green's theorem. Area(D) = x(t) y(t) = aF2 Əx 1t 1+t³ 1t² 1+t³ aF1 by ,0 < t <∞0. = 1
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