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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.4 - Problem 54e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.4 - Problem 54e

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# The arbelos An arbelos is the region enclosed by three

ISBN: 9780321570567 2

## Solution for problem 54E Chapter 4.4

Calculus: Early Transcendentals | 1st Edition

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Problem 54E

An arbelos is the region enclosed by three mutually tangent semicircles; it is the region inside the larger semicircle and outside the two smaller semicircles (see figure).

a. Given an arbelos in which the diameter of the largest circle is 1, what positions of point B maximize the area of the arbelos?

b. Show that the area of the arbelos is the area of a circle whose diameter is the distance BD in the figure.

Step-by-Step Solution:

Solution Step 1 : (a)The given diagram is

Step 2 of 4

Step 3 of 4

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The arbelos An arbelos is the region enclosed by three