The length , width w, and heighth of a box change with time. At a certain Instant the dimensions are f = 2 m and w = h = 3 m, and and w are increasing at a rate of 4 m/s while his decreasing at a rate of 7 m/s. At that instant find the rates at which the following quantities are changing. (a) the volume (in m³/s) (b) the surface area (in m²/s) m²/s (c) the length of a diagonal (in m/s) (Round your answer to two decimal places.) m/s

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
The length , width w, and heighth of a box change with time. At a certain instant the dimensions are f = 2 m and w = h = 3 m, and fand w are increasing at a rate of 4 m/s while his decreasing at a rate of 7 m/s. At that instant find the rates at which the following
quantities are changing.
(a) the volume (in m³/s)
(b) the surface area (in m²/s)
m²/s
(c) the length of a diagonal (in m/s) (Round your answer to two decimal places.)
m/s
Transcribed Image Text:The length , width w, and heighth of a box change with time. At a certain instant the dimensions are f = 2 m and w = h = 3 m, and fand w are increasing at a rate of 4 m/s while his decreasing at a rate of 7 m/s. At that instant find the rates at which the following quantities are changing. (a) the volume (in m³/s) (b) the surface area (in m²/s) m²/s (c) the length of a diagonal (in m/s) (Round your answer to two decimal places.) m/s
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