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

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Chapter1: Functions And Models
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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
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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