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. 15 square meters per second -12 square meters per second 10 square meters per second 12 square meters per second

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 I 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.
15 square meters per second
O-12 square meters per second
10 square meters per second
O 12 square meters per second
Transcribed Image Text: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 I 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. 15 square meters per second O-12 square meters per second 10 square meters per second O 12 square meters per second
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