Answered: Find the area enclosed by the simple…

Find the area enclosed by the simple closed curve given by 4(x + y)^2 + 9(x − y)^2 = 36 whose graph is shown below. Hint: consider a change of variables that transforms the given curve to a circle.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.2: Perimeter And Area Of Polygons

Problem 47E

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Question

Find the area enclosed by the simple closed curve given by 4(x + y)^2 + 9(x − y)^2 = 36 whose graph is shown below. Hint: consider a change of variables that transforms the given curve to a circle.

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