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Bisecting an ellipse Let R be the region in the First

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 51RE Chapter 10

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 51RE

Bisecting an ellipse Let R be the region in the First quadrant bounded by the ellipse x2/a2 + y2/b2= 1. Find the value of m (in terms of a and b) such that the line y = mx divides R into two subregions of equal area.

Step-by-Step Solution:

Solution 51REStep 1:In this problem we need to find the value of m (in terms of a and b) such that the line y = mx divides R into two subregions of equal area.Let R be the region in the First quadrant bounded by the ellipse Suppose the line divides R into two subregions of equal area.We know, the area of first quadrant of the ellipse is the area of the subregion of equal area is …(1)Step 2:Now solve for :Also we have Step 3:Therefore the region of integration is given by,By (1), the value of the area integral is Therefore,Area

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Chapter 10, Problem 51RE is Solved
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Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Bisecting an ellipse Let R be the region in the First

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