The lateral surface area of a cone is changing at the rate of 6 cm2/sec, where S = tr Vr? + h². Let h = 2r. What is the change in the radius when r = 2? dr 3 c m/s dt 2/5 T dr 27 c m/s 2 Tt dt dr 3 c m/s 8 Tt dt dr 3 c m/s dt

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Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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The lateral surface area of a cone is changing at the rate of 6 cm?/sec, where S
= Tr Vr² + h². Let h = 2r.
%3D
What is the change in the radius when r = 2?
dr
3
c m/s
dt
dr
뉴cm/s
dt
dr
3
c m/s
dt
dr
3
급cm/s
dt
4 T
||
II
Transcribed Image Text:The lateral surface area of a cone is changing at the rate of 6 cm?/sec, where S = Tr Vr² + h². Let h = 2r. %3D What is the change in the radius when r = 2? dr 3 c m/s dt dr 뉴cm/s dt dr 3 c m/s dt dr 3 급cm/s dt 4 T || II
A cylinder is being filled such that the height of the contents is increasing at a rate of 2 cm/sec.
What is the rate of change of the volume if r =2 and V = rr?h?
%3D
d V
= 2 n cm³/s
dt
= 9n cm³/s
dt
d V
d V
=18π cm*/s
dt
= 8T cm³/s
dt
d V
Transcribed Image Text:A cylinder is being filled such that the height of the contents is increasing at a rate of 2 cm/sec. What is the rate of change of the volume if r =2 and V = rr?h? %3D d V = 2 n cm³/s dt = 9n cm³/s dt d V d V =18π cm*/s dt = 8T cm³/s dt d V
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