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 byimage


The reason is that by Equation (4), run backward,image

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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