The length ℓ, width w, and height h of a box change with time. At a certain instant the dimensions are ℓ = 8 m and w = h = 3 m, and ℓ and w are increasing at a rate of 4 m/s while h is decreasing at a rate of 6 m/s. At that instant find the rates at which the following quantities are changing.
The length ℓ, width w, and height h of a box change with time. At a certain instant the dimensions are ℓ = 8 m and w = h = 3 m, and ℓ and w are increasing at a rate of 4 m/s while h is decreasing at a rate of 6 m/s. At that instant find the rates at which the following quantities are changing.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 2A: Find the area of the shaded portion of this figure. Round your answer to 2 decimal places.
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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 = 8 m and w = h = 3 m, and ℓ and w are increasing at a rate of 4 m/s while h is decreasing at a rate of 6 m/s. At that instant find the rates at which the following quantities are changing.
Transcribed Image Text:(a) the volume (in m³/s)
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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