   Chapter 3.7, Problem 17E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# The mass of the part of a metal rod that lies between its left end and a point x meters to the right is 3x2 kg. Find the linear density {see Example 2) when x is (a) 1m, (b) 2m, and (c) 3m. Where is the density the highest? The lowest?EXAMPLE 2 (a)

To determine

To find: The linear density at x=1m.

Explanation

Given:

The mass of the part of the metal rod which lies between its left end and a point x m away from the right end is 3x2kg.

Calculation:

The mass of the metal rod is, m(x)=3x2

(b)

To determine

To find: The linear density at x=2m.

(c)

To determine

To find: The linear density at x=3m; and to tell the conclusion obtained from the parts (a), (b) and (c).

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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 