Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
Observe the ripples.
When the rate of the area of the circle is constant, how
is it related to the instantaneous radius of the circle?
Definitions:
Proportion means as one goes up the other goes up.
or as one goes down the the other goes down.
Inversely Proportional means as one goes up then the
other goes down or vice versa.
The rate of the area is proportional to the circumference of
the circle.
The rate of the area is inversely proportional to the
circumference of the circle.
The rate of the area equals the circumference of the circle.
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Transcribed Image Text:Observe the ripples. When the rate of the area of the circle is constant, how is it related to the instantaneous radius of the circle? Definitions: Proportion means as one goes up the other goes up. or as one goes down the the other goes down. Inversely Proportional means as one goes up then the other goes down or vice versa. The rate of the area is proportional to the circumference of the circle. The rate of the area is inversely proportional to the circumference of the circle. The rate of the area equals the circumference of the circle.
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