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 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 AP if we know that r = 7 and " = 3? dt dt O What is d if we know that r = 7 and V = 3? O What is when r = 7, given that AP dt = 3? dt O What is given that r =7 and AP = 3 ? dr O What is when r = 7, if = -3? 血也
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 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 AP if we know that r = 7 and " = 3? dt dt O What is d if we know that r = 7 and V = 3? O What is when r = 7, given that AP dt = 3? dt O What is given that r =7 and AP = 3 ? dr O What is when r = 7, if = -3? 血也
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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Transcribed Image Text:Suppose a spherical balloon is being filled with air so that its' volume and radius increase.
ts
t = time (in seconds)
V = volume of the balloon at time t (in cm3)
r = radius of the balloon at time t
(in cm)
arces
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
dV
if we know that r = 7 and = 3?
dt
dt
O What is d if we know that r = 7 and V = 3 ?
AP
O What is when r = 7, given that
= 3?
AP
O What is . given that r = 7 and
AP
dr
= 3 ?
O What is d when r = 7, if 4Y
= -3?
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