Suppose that the online retailer Amazon needs to use larger and larger cardboard boxes over time. One particular model of tall cardboard box with a square base keeps being changed so that its volume increases by 80 cubic inches each year, while its height increases by 0.5 inches each year. What is the rate of change of the width of the box when the box has a height of 30 inches and a width of 20 inches? Show all of your work.
Suppose that the online retailer Amazon needs to use larger and larger cardboard boxes over time. One particular model of tall cardboard box with a square base keeps being changed so that its volume increases by 80 cubic inches each year, while its height increases by 0.5 inches each year. What is the rate of change of the width of the box when the box has a height of 30 inches and a width of 20 inches? Show all of your work.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Suppose that the online retailer Amazon needs to use larger and larger cardboard boxes over
time. One particular model of tall cardboard box with a square base keeps being changed so
that its volume increases by 80 cubic inches each year, while its height increases by 0.5 inches
each year. What is the rate of change of the width of the box when the box has a height of 30
inches and a width of 20 inches? Show all of your work.
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