Assume that the radius r of the cylinder below is decreasing at a rate of 2 m/s, and that its height h is increasing at a rate of 3 m/s. How fast is the diagonal L of the cylinder changing when the radius of the cylinder becomes 1 m and its height becomes 3 m? Note that the diagonal L is given by diagonal radius L² = 4r² +h². height
Assume that the radius r of the cylinder below is decreasing at a rate of 2 m/s, and that its height h is increasing at a rate of 3 m/s. How fast is the diagonal L of the cylinder changing when the radius of the cylinder becomes 1 m and its height becomes 3 m? Note that the diagonal L is given by diagonal radius L² = 4r² +h². height
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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Question
![Assume that the radius r of the cylinder below is decreasing at a rate of 2 m/s, and that
its height h is increasing at a rate of 3 m/s.
How fast is the diagonal L of the cylinder changing when the radius of the cylinder
becomes 1 m and its height becomes 3 m?
Note that the diagonal L is given by
diagonal
radius
I² = 4r² +h².
height](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53ab685c-ff0d-4e25-a067-547672574af5%2F574a8c22-ff0d-48d5-b3bc-dbb29f347784%2Fmzoubwc_processed.png&w=3840&q=75)
Transcribed Image Text:Assume that the radius r of the cylinder below is decreasing at a rate of 2 m/s, and that
its height h is increasing at a rate of 3 m/s.
How fast is the diagonal L of the cylinder changing when the radius of the cylinder
becomes 1 m and its height becomes 3 m?
Note that the diagonal L is given by
diagonal
radius
I² = 4r² +h².
height
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