Position of a piston The distance between the head of a piston and the end of a cylindrical chamber is given by x12 = 8t cm, for t + 1 t U O (measured in seconds). The radius of the cylinder is 4 cm. a. Find the volume of the chamber, for t U 0. b. Find the rate of change of the volume V'1t2, for t U 0. c. Graph the derivative of the volume function. On what intervals is the volume increasing? Decreasing?

Position of a piston The distance between the head of a piston and the end of a cylindrical chamber is given by x12 = 8t cm, for t + 1 t U O (measured in seconds). The radius of the cylinder is 4 cm. a. Find the volume of the chamber, for t U 0. b. Find the rate of change of the volume V'1t2, for t U 0. c. Graph the derivative of the volume function. On what intervals is the volume increasing? Decreasing?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter6: Rates Of Change

Section6.2: Rates Of Change For Other Functions

Problem 15SBE

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