[SADT] The length l, width w, and height h of a box change with time. At a certain instant the dimensions are, l = 1m and w = h = 2m and l and w are increasing at a rate of 2 m/s while h is decreasing at a rate of 3 m/s. At that instant find the rate at which the area of the box is changing. -12 square meters per second 10 square meters per second 12 square meters per second 15 square meters per second

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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[SADT] The length l, width w, and height h of a box change with time. At a certain instant the
dimensions are, l = 1m and w = h = 2m and l and w are increasing at a rate of 2 m/s while h is
decreasing at a rate of 3 m/s. At that instant find the rate at which the area of the box is changing.
) -12 square meters per second
10 square meters per second
12 square meters per second
15 square meters per second
Transcribed Image Text:[SADT] The length l, width w, and height h of a box change with time. At a certain instant the dimensions are, l = 1m and w = h = 2m and l and w are increasing at a rate of 2 m/s while h is decreasing at a rate of 3 m/s. At that instant find the rate at which the area of the box is changing. ) -12 square meters per second 10 square meters per second 12 square meters per second 15 square meters per second
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