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3. a. b. As a snowball melts, its surface area and volume decrease. The surface area, S, in square centimeters is modelled by the equation S = 4πr² where r is the radius, in centimeters. The = πr³. volume, V, in cubic centimeters, is modelled by the equation V = Determine the average rate of change of the surface area and of the volume as the radius decreases from 26 cm to 18 cm. Estimate the instantaneous rate of change of the surface area and volume when the radius is 7 cm.

3. a. b. As a snowball melts, its surface area and volume decrease. The surface area, S, in square centimeters is modelled by the equation S = 4πr² where r is the radius, in centimeters. The = πr³. volume, V, in cubic centimeters, is modelled by the equation V = Determine the average rate of change of the surface area and of the volume as the radius decreases from 26 cm to 18 cm. Estimate the instantaneous rate of change of the surface area and volume when the radius is 7 cm.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. a. b. As a snowball melts, its surface area and volume decrease. The surface area, S, in square centimeters is modelled by the equation S = 4r² where r is the radius, in centimeters. The volume, V, in cubic centimeters, is modelled by the equation V = ³. Determine the average rate of change of the surface area and of the volume as the radius decreases from 26 cm to 18 cm. Estimate the instantaneous rate of change of the surface area and volume when the radius is 7 cm.
Transcribed Image Text:3. a. b. As a snowball melts, its surface area and volume decrease. The surface area, S, in square centimeters is modelled by the equation S = 4r² where r is the radius, in centimeters. The volume, V, in cubic centimeters, is modelled by the equation V = ³. Determine the average rate of change of the surface area and of the volume as the radius decreases from 26 cm to 18 cm. Estimate the instantaneous rate of change of the surface area and volume when the radius is 7 cm.
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