Suppose the density of a wire is given by p(z) = 0.6 +0.09 sin(27) kg/m, where is the distance from one end of the wire. The mass of a 9-meter length of this wire will be rounded to 3 decimal places) kg (enter your answer

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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Suppose the density of a wire is given by
p(z) = 0.6 + 0.09 sin(2x) kg/m, where is the distance from one end of the wire.
The mass of a 9-meter length of this wire will be
rounded to 3 decimal places)
kg (enter your answer
Transcribed Image Text:Suppose the density of a wire is given by p(z) = 0.6 + 0.09 sin(2x) kg/m, where is the distance from one end of the wire. The mass of a 9-meter length of this wire will be rounded to 3 decimal places) kg (enter your answer
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the given density function is

\rho \left(x\right)=0.6+0.09\sin \left(2x\right)\:\:\:\:kg/m

the length of the wire is 9 m

so to find the mass of wire, we need to just take integration from 0 to 9

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