The length ℓ, width w, and height h of a box change with time. At a certain instant, the dimensions are ℓ = 6 m and w = h = 3 m, and ℓ and w are increasing at a rate of 1 m/s while h is decreasing at a rate of 9 m/s. At that instant find the rates at which the following quantities are changing. a) The volume. b) The surface area. c) The length of the diagonal. (Round answer to two decimal places)
The length ℓ, width w, and height h of a box change with time. At a certain instant, the dimensions are ℓ = 6 m and w = h = 3 m, and ℓ and w are increasing at a rate of 1 m/s while h is decreasing at a rate of 9 m/s. At that instant find the rates at which the following quantities are changing. a) The volume. b) The surface area. c) The length of the diagonal. (Round answer to two decimal places)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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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 = 6 m and w = h = 3 m, and ℓ and w are increasing at a rate of 1 m/s while h is decreasing at a rate of 9 m/s. At that instant find the rates at which the following quantities are changing.
a) The volume.
b) The surface area.
c) The length of the diagonal. (Round answer to two decimal places)
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