Suppose that the volume, V, and radius, r, of a sphere are changing with respect to time and satisfy the equation V = ar dr If -2 m/min, then find the following: dt AP when r = a. dt 4m ab sin (a) 00 m3/min AP dt when V = 32 T m3 b. ab sin (a) 00

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
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Suppose that the volume, V, and radius, r, of a sphere are changing with respect
to time and satisfy the equation
V = ar
dr
If
-2 m/min, then find the following:
dt
AP
when r =
a.
dt
4m
ab sin (a)
00
m3/min
AP
dt
when V = 32 T m3
b.
ab sin (a)
00
Transcribed Image Text:Suppose that the volume, V, and radius, r, of a sphere are changing with respect to time and satisfy the equation V = ar dr If -2 m/min, then find the following: dt AP when r = a. dt 4m ab sin (a) 00 m3/min AP dt when V = 32 T m3 b. ab sin (a) 00
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