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The length {, width w, and height h of a box change with time. At a certain instant the dimensions are l = 6 m and w = h = 1 m, and l and w are increasing at a rate of 3 m/s while h is decreasing at a rate of 4 m/s. At that instant find the rates at which the following quantities are changing. (a) the volume (in m 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

The length {, width w, and height h of a box change with time. At a certain instant the dimensions are l = 6 m and w = h = 1 m, and l and w are increasing at a rate of 3 m/s while h is decreasing at a rate of 4 m/s. At that instant find the rates at which the following quantities are changing. (a) the volume (in m 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

Algebra & Trigonometry with Analytic Geometry
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 {, width w, and height h of a box change with time. At a certain instant the dimensions are l = 6 m and w = h = 1 m, and l and w are increasing at a rate of 3 m/s while h is decreasing at a rate of 4 m/s. At that instant find the rates at which the following quantities are changing. (a) the volume (in m 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
Transcribed Image Text:The length {, width w, and height h of a box change with time. At a certain instant the dimensions are l = 6 m and w = h = 1 m, and l and w are increasing at a rate of 3 m/s while h is decreasing at a rate of 4 m/s. At that instant find the rates at which the following quantities are changing. (a) the volume (in m 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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