Suppose a spherical balloon is being filled with air so that its' volume and radius increase. t = time (in seconds) V = volume of the balloon at timet (in cm) T= radius of the balloon time t (in cm) Restate the following sentence in terms of the above variables: "How fast is the radius changing when the radius is 7 cm, if the balloon is being filled with air at a constant rate of 3 cm /s?" (Note: You do not need to solve the problem. Only determine what the question is asking, mathematically.) O What is if we know that r=7 and V 3? O What is . given that r= 7 and 3? O What is when r 7. if 3? O What is , if we know that r 7 and 3? O What is when r = 7. given that 4 3?

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...
Question
Suppose a spherical balloon is being filled with air so that its' volume and radius increase.
t = time (in seconds)
V = volume of the balloon at time t (in cm)
T = radius of the balloon at time t
(in cm)
Restate the following sentence in terms of the above variables:
"How fast
the radius changing when the radius is 7 cm, if the balloon is being filled with air at a constant rate of 3 cm/s?"
(Note: You do not need to solve the problem. Only determine what the question is asking, mathematically.)
O What is if we know that r
7 and V = 3 ?
O What is , given that r
7 and
3?
O What is d when r
7, if d
dt
3?
O What is . if we know that r
7 and
33
O What is when r
7. given that
3?
Transcribed Image Text:Suppose a spherical balloon is being filled with air so that its' volume and radius increase. t = time (in seconds) V = volume of the balloon at time t (in cm) T = radius of the balloon at time t (in cm) Restate the following sentence in terms of the above variables: "How fast the radius changing when the radius is 7 cm, if the balloon is being filled with air at a constant rate of 3 cm/s?" (Note: You do not need to solve the problem. Only determine what the question is asking, mathematically.) O What is if we know that r 7 and V = 3 ? O What is , given that r 7 and 3? O What is d when r 7, if d dt 3? O What is . if we know that r 7 and 33 O What is when r 7. given that 3?
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