The length, width w, and height h of a box change with time. At a certain instant the dimensions are = 5 m and wh=9 m, and land w are increasing at a rate of 2 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 m³, -108 n³/s) × m³/s (b) the surface area (in m²/s) 144 × m²/s (c) the length of a diagonal (in m/s) (Round your answer to two decimal places.) -0.89 × m/s

The length, width w, and height h of a box change with time. At a certain instant the dimensions are = 5 m and wh=9 m, and land w are increasing at a rate of 2 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 m³, -108 n³/s) × m³/s (b) the surface area (in m²/s) 144 × m²/s (c) the length of a diagonal (in m/s) (Round your answer to two decimal places.) -0.89 × m/s

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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