3) Determine the speed of change of volume of a rectangular parallelepiped, knowing that the edges of the base increase at the rate of 2 cm/s each and the vertical edge decreases at the rate of 1 cm/s, at time t, when the edges of the base measure 30 cm and 20 cm and the vertical 50 cm.
3) Determine the speed of change of volume of a rectangular parallelepiped, knowing that the edges of the base increase at the rate of 2 cm/s each and the vertical edge decreases at the rate of 1 cm/s, at time t, when the edges of the base measure 30 cm and 20 cm and the vertical 50 cm.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
3) Determine the speed of change of volume of a rectangular parallelepiped, knowing that the edges of the base increase at the rate of 2 cm/s each and the vertical edge decreases at the rate of 1 cm/s, at time t, when the edges of the base measure 30 cm and 20 cm and the vertical 50 cm.
Expert Solution
Step 1
Let the length of base edges and vertical edge are respectively such that
Formula Used: Volume of the rectangular parallelepiped is
To evaluate: The speed of change of volume of a rectangular parallelepiped.
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