1. The radius of a spherical balloon is increasing at a rate of 2 centimeters per minute. How fast is the surface area changing when the radius is 14 centimeters? Hint: The surface area is S = 4ar². Rate of change of surface area = cm² /min 2. The surface area of a spherical balloon is increasing at a rate of 22 centimeters per minute. How fast is the radius changing when the radius is 14 centimeters? Rate of change of radius = | cm/min

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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1. The radius of a spherical balloon is increasing at a rate of 2 centimeters per minute. How fast is the surface area changing when
the radius is 14 centimeters?
Hint: The surface area is S = 4ar².
Rate of change of surface area =
ст? /тin
2. The surface area of a spherical balloon is increasing at a rate of 22 centimeters per minute. How fast is the radius changing when
the radius is 14 centimeters?
Rate of change of radius = cm/min
%3D
Transcribed Image Text:1. The radius of a spherical balloon is increasing at a rate of 2 centimeters per minute. How fast is the surface area changing when the radius is 14 centimeters? Hint: The surface area is S = 4ar². Rate of change of surface area = ст? /тin 2. The surface area of a spherical balloon is increasing at a rate of 22 centimeters per minute. How fast is the radius changing when the radius is 14 centimeters? Rate of change of radius = cm/min %3D
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