av Also, trh and dv ah tep 3 av When r= 153 and h= 113, then av and an ar Submit Skip (you cannot come back)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise
The radius of a right circular cone is increasing at a rate of 1.9 in/s while its height is decreasing at a rate of 2.8 in/s. At what rate is the volume of the cone changing when the radius is 153 in. and the height is 113 in.?
Step 1
The volume of a cone with base radius rand height h is given by V =
dv
By the Chain Rule, we know that
dt
To find the rate of change of the volume, we need to find -
av
av
dv
dr
+
dh
dt
dt
h
dt
Step 2
dh
We are given that = 1.9 and
dt
dr
= -2.8.
dt
av
= Étrh and
av
Also,
ar
3
ah
3
3
Step 3
av
When r = 153 and h = 113, then
ar
av
and
ah
Submit Skip (you cannot come back)
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise The radius of a right circular cone is increasing at a rate of 1.9 in/s while its height is decreasing at a rate of 2.8 in/s. At what rate is the volume of the cone changing when the radius is 153 in. and the height is 113 in.? Step 1 The volume of a cone with base radius rand height h is given by V = dv By the Chain Rule, we know that dt To find the rate of change of the volume, we need to find - av av dv dr + dh dt dt h dt Step 2 dh We are given that = 1.9 and dt dr = -2.8. dt av = Étrh and av Also, ar 3 ah 3 3 Step 3 av When r = 153 and h = 113, then ar av and ah Submit Skip (you cannot come back)
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