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?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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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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