Use the Greens Theorem area formula given above to find the areas of the regions enclosed by
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Use the Green’s Theorem area formula given above to find the areas of the regions enclosed by the curves.
The ellipse r(t) = (a cos t)i + (b sin t)j, 0 ≤ t ≤ 2π
If a simple closed curve C in the plane and the region R it encloses satisfy the hypotheses of Green’s Theorem, the area of R is given by
The reason is that by Equation (4), run backward,
Transcribed Image Text:
Green's Theorem Area Formula Area of R - 1 2 x dy y dx
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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