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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.)

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.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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