5. The original 24 m edge length x of a cube decreases at the rate of 2 m/min. a. When x 2 m, at what rate does the cube's surface area change? b. When x 2 m, at what rate does the cube's volume change? m2/min. a. When x 2 m, the surface area is changing at a rate of (Type an integer or a decimal. Do not round.) m /min. b. When x 2 m, the volume is changing at a rate of (Type an integer or a decimal. Do not round.)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
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5. The original 24 m edge length x of a cube decreases at the rate of 2 m/min.
a. When x 2 m, at what rate does the cube's surface area change?
b. When x 2 m, at what rate does the cube's volume change?
m2/min.
a. When x 2 m, the surface area is changing at a rate of
(Type an integer or a decimal. Do not round.)
m /min.
b. When x 2 m, the volume is changing at a rate of
(Type an integer or a decimal. Do not round.)
Transcribed Image Text:5. The original 24 m edge length x of a cube decreases at the rate of 2 m/min. a. When x 2 m, at what rate does the cube's surface area change? b. When x 2 m, at what rate does the cube's volume change? m2/min. a. When x 2 m, the surface area is changing at a rate of (Type an integer or a decimal. Do not round.) m /min. b. When x 2 m, the volume is changing at a rate of (Type an integer or a decimal. Do not round.)
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