Use the Green's Theorem area formula, shown below, to find the area of the region enclosed by the ellipse r(t) = (a cost+m)i + (b sint+n)j, 0≤t≤ 2. = 1/2 x dy с Area of R= dy-y dx The area of the ellipse is (Type an exact answer.)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Use the Green's Theorem area formula, shown below, to find the area of the region enclosed by the ellipse r(t) = (a cost+m)i + (b sint+n)j, 0≤t≤ 2.
= 1/2 x dy
с
Area of R=
dy-y dx
The area of the ellipse is
(Type an exact answer.)
Transcribed Image Text:Use the Green's Theorem area formula, shown below, to find the area of the region enclosed by the ellipse r(t) = (a cost+m)i + (b sint+n)j, 0≤t≤ 2. = 1/2 x dy с Area of R= dy-y dx The area of the ellipse is (Type an exact answer.)
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