The length l and width w of the closed box shown in h are increasing at a rate of 2 ft/min while its height h is decreasing at a rate of 3 ft/min. Find the rate at which the volume of the box is increasing when 6, w = h = 2 feet. %3D 1. rate 4 cu ft/min 2. volume is decreasing, not increasing 3. rate = 7 cu ft/min 4. rate = 5 cu ft/min 5. rate = 6 cu ft/min

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The length l and width w of the closed box
shown in
h
are increasing at a rate of 2 ft/min while its
height h is decreasing at a rate of 3 ft/min.
Find the rate at which the volume of the box
is increasing when
l = 6,
w = h = 2 feet.
1. rate = 4 cu ft/min
2. volume is decreasing, not increasing
3. rate = 7 cu ft/min
4. rate = 5 cu ft/min
5. rate =
6 cu ft/min
Transcribed Image Text:The length l and width w of the closed box shown in h are increasing at a rate of 2 ft/min while its height h is decreasing at a rate of 3 ft/min. Find the rate at which the volume of the box is increasing when l = 6, w = h = 2 feet. 1. rate = 4 cu ft/min 2. volume is decreasing, not increasing 3. rate = 7 cu ft/min 4. rate = 5 cu ft/min 5. rate = 6 cu ft/min
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