Explanation Given: The region is bounded by ( x − 1 ) 2 + y 2 = 1 and ( x − 4 ) 2 + y 2 = 4 . Formula used: The centroid point is: x ¯ = A 1 x 1 + A 2 x 2 A Where, A = A 1 + A 2 is the area of the region. Here, x 1 is centroid of region 1 and x 2 is the centroid of region 2. Calculation: The equation of circle with radius 1 and centre ( 1 , 0 ) is ( x − 1 ) 2 + y 2 = 1 . The equation of circle with radius 2 and centre ( 4 , 0 ) is ( x − 4 ) 2 + y 2 = 4 . ∴, the graph obtained is: The graph obtained has two circles with radius1 and radius 2

10th Edition

ISBN: 9781285057095

Author: Ron Larson, Bruce H. Edwards

Publisher: Cengage Learning

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Chapter 8, Problem 70RE

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To calculate: The centroid that is bounded by graphs of region for the equations (x−1)2+y2=1 and (x−4)2+y2=4.

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Chapter 8, Problem 69RE

Chapter 8, Problem 71RE

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The centroid that is bounded by graphs of region for the equations ( x − 1 ) 2 + y 2 = 1 and ( x − 4 ) 2 + y 2 = 4 .

Solution Summary: The author calculates the centroid that is bounded by graphs of region for the equations (x-1)2+y

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To calculate: The centroid that is bounded by graphs of region for the equations (x−1)2+y2=1 and (x−4)2+y2=4.

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Chapter 8 Solutions