# 5 - Anthony Reverri Section 27 Workshop 5 This weeks...

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Anthony Reverri Section 27 Workshop 5 This week’s workshop asks us to find the area enclosed by two ellipses. The equations for both ellipses are and. First we must put but of these equations in terms of. From here there are many strategies to find the total area between these two ellipses. I am going to briefly outline my approach, then explain the calculations. Since these ellipses are both symmetrical across the x and y axis, solving for where they equal each other will give me the co- ordinates of all the intersections. With these co-ordinates, I can connect two of the points, and then use the distance formula to find the length of one side. I can then square this length in order to find the area of the square inside the middle of the ellipse. To avoid confusion, I will explain how to find the rest of the area when we get to that step. Start with finding where the equations intersect (can disregard sign). Since we need know that all of the points of intersection in quadrants I, II, III, and IV

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## This note was uploaded on 12/05/2011 for the course MATH 152 taught by Professor Sc during the Spring '08 term at Rutgers.

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5 - Anthony Reverri Section 27 Workshop 5 This weeks...

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