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Answer: Mass of one-dimensional objects Find the mass of

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 10E Chapter 6.6

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 10E

Mass of one-dimensional objects Find the mass of the following thin bars with the given density function.?(x)= 1 + x3; for 0 ? x ? 1

Step-by-Step Solution:
Step 1 of 3

Solution 10E Step1 Given that (x)= 1+x for 0x 1 Step2 To find Mass of the thin bar using given density function. Step3 Mass of the object is b m= x) dx a Let a thin bar can be represented as a line segment on the interval axb with a density function, (with units of mass per length). Step4 Given (x)= 1+x on interval [0,1] The mass of bar in kilograms in b m= (x) dx a 1 3 = 1+x ] dx 0 x 1 =[x+ ] 4 0 Step5 m=(1+ )-(0+ ) 0 4 4 =1+ 4 5 = 4 Therefore, The mass of the thin bar using given density function is m= kg. 5 4

Step 2 of 3

Chapter 6.6, Problem 10E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Answer: Mass of one-dimensional objects Find the mass of