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A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. (a) Find the rates of change of the radius when r = 30 centimeters and r = 95 centimeters. r = 30 cm/min r = 95 cm/min (b) Explain why the rate of change of the radius of the sphere is not constant even though dV/dt is constant. dr depends on dt 2, not simply r. The rate of change of the radius is a cubic relationship. O The rate of change of the radius is a linear relationship whose slope is dt dv dr as a function runs parallel to the volume function, which is not linear. dt O The volume only appears constant; it is actually a rational relationship. Need Help? Read It

A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. (a) Find the rates of change of the radius when r = 30 centimeters and r = 95 centimeters. r = 30 cm/min r = 95 cm/min (b) Explain why the rate of change of the radius of the sphere is not constant even though dV/dt is constant. dr depends on dt 2, not simply r. The rate of change of the radius is a cubic relationship. O The rate of change of the radius is a linear relationship whose slope is dt dv dr as a function runs parallel to the volume function, which is not linear. dt O The volume only appears constant; it is actually a rational relationship. Need Help? Read It

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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A spherical balloon is inflated with gas at a rate of500 cubic centimeters per minute. (a) Find the rates of change of the radius when r= 30 centimeters and r = 95 centimeters. r= 30 cm/min r= 95 cm/min (b) Explain why the rate of change of the radius of the sphere is not constant even though dV/dt is constant. dr depends on r, not simply r. dt 2. O The rate of change of the radius is a cubic relationship. O The rate of change of the radius is a linear relationship whose slope is dv dt dr as a function runs parallel to the volume function, which is not linear. dt O The volume only appears constant; it is actually a rational relationship. Need Help? Read It Show My Work (Optional@ Submit Answer
Transcribed Image Text:A spherical balloon is inflated with gas at a rate of500 cubic centimeters per minute. (a) Find the rates of change of the radius when r= 30 centimeters and r = 95 centimeters. r= 30 cm/min r= 95 cm/min (b) Explain why the rate of change of the radius of the sphere is not constant even though dV/dt is constant. dr depends on r, not simply r. dt 2. O The rate of change of the radius is a cubic relationship. O The rate of change of the radius is a linear relationship whose slope is dv dt dr as a function runs parallel to the volume function, which is not linear. dt O The volume only appears constant; it is actually a rational relationship. Need Help? Read It Show My Work (Optional@ Submit Answer
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