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Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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
Transcribed Image Text:We want to find how the volume, V, of a balloon changes as it's filled with air. We know that
V(r)=ar', where r is the radius in inches and V(r) is in cubic inches.
V (3)–V(1)
The expression
represents
Give the letter of the correct answer below.
3-1
a. The average rate of change of the radius with respect to the volume when the radius
changes from 1 inch to 3 inches.
b. The average rate of change of the radius with respect to the volume when the volume
changes from 1 cubic inch to 3 cubic inches.
c. The average rate of change of the volume with respect to the radius when the radius
changes from 1 inch to 3 inches.
d. The average rate of change of the volume with respect to the radius when the volume
changes from 1 cubic inch to 3 cubic inches.
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