Consider the given closed rectangular box with dimensions x cm, v cm and z cm. Assume that x is increasing at the rate of 20 cm per hour and y is decreasing at a rate of 15 cm per hour and z is decreasing at a rate of 10 cm per hour. At what rate is the box's surface area is changing when x is 20 cm y is 10 cm, z is 100 cm?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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Consider the given closed rectangular box with dimensions x cm, v cm and z cm. Assume that x is increasing at the rate of 20 cm per hour and v is decreasing at a
rate of 15 cm per hour and z is decreasing at a rate of 10 cm per hour. At what rate is the box's surface area is changing when x is 20 cm, y is 10 cm, z is 100 cm?
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Transcribed Image Text:Consider the given closed rectangular box with dimensions x cm, v cm and z cm. Assume that x is increasing at the rate of 20 cm per hour and v is decreasing at a rate of 15 cm per hour and z is decreasing at a rate of 10 cm per hour. At what rate is the box's surface area is changing when x is 20 cm, y is 10 cm, z is 100 cm? |군
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