Let S be the solid of revolution obtained by revolving about the x-axis the bounded region R enclosed by the curve y=e−2x and the lines x=−1, x=1 and y=0. We compute the volume of S using the disk method. a) Let u be a real number in the interval −1≤x≤1. The section x=u of S is a disk. What is the radius and area of the disk? Radius:    Area:      b) The volume of S is given by the integral (b to a) ∫f(x)dx, where: a=    b=    and f(x)=  c) Find the volume of S. Give your answer with an accuracy of four decimal places. Volume:

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Let S be the solid of revolution obtained by revolving about the x-axis the bounded region R enclosed by the curve y=e−2x and the lines x=−1, x=1 and y=0. We compute the volume of S using the disk method.

a) Let u be a real number in the interval −1≤x≤1. The section x=u of S is a disk. What is the radius and area of the disk?

Radius:

 

 Area:   

 

b) The volume of S is given by the integral (b to a) ∫f(x)dx, where:

a=   

b=   

and

f(x)= 

c) Find the volume of S. Give your answer with an accuracy of four decimal places.

Volume:     

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