As Khalid inflates a spherical balloon, Kareem wonders about its different rates. He knows that the rate at which Khalid blows is equal to the rate at which the volume changes (). As the balloon inflates, other aspects are changing as well, such as the radius and the surface area. Homework Help a. If 4 = 10 , calculate the rate of change of the radius, . when r = 3 cm. b. If = 12 c, calculate the rate of change of the surface area, 4, when r = 5 cm. c. Describe is happening to the balloon when is negative.

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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As Khalid inflates a spherical balloon, Kareem wonders about its different rates. He knows that the rate at which Khalid blows is equal to the rate at which the volume changes
aspects are changing as well, such as the radius and the surface area. Homework Help
AP
). As the balloon inflates, other
dt
а. If dy
dt
= 10
sec
cm3
calculate the rate of change of the radius, d, when r = 3 cm.
AP
b. If dt
cm3
12
calculate the rate of change of the surface area,
sec :
dA
when r = 5 cm.
dt
c. Describe is happening to the balloon when
AP
is negative.
dt
Transcribed Image Text:As Khalid inflates a spherical balloon, Kareem wonders about its different rates. He knows that the rate at which Khalid blows is equal to the rate at which the volume changes aspects are changing as well, such as the radius and the surface area. Homework Help AP ). As the balloon inflates, other dt а. If dy dt = 10 sec cm3 calculate the rate of change of the radius, d, when r = 3 cm. AP b. If dt cm3 12 calculate the rate of change of the surface area, sec : dA when r = 5 cm. dt c. Describe is happening to the balloon when AP is negative. dt
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