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Letter B onl

Letter B onl

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Letter B only
A. Let R be the region bounded by y=3* –1 , y= 0, and x=2. Set-up only the definite integral that will yield the following: 1. Volume of the solid generated when R is revolved about a. the x-axis using i. vertical strips eq1 ii horizontal strips b. у- using x as the variable of integration B. Set-up the integral that will find the following a. centroid of the region R b. centroid of the solid generated by revolving R about the line x= 3. c. centroid of the solid generated by revolving R about the line y = 8. C. Set-up the definite integral to find the length of the arc of the graph of y = Vx-1 from x = 2 to x= 5. D. Set-up the definite integral that will give the area of the surface generated by revolving the arc y=2* from x=0 to x=2. a. about x=2 using x as a variable of integration b. about y = 5 using x as the variable of integration E. The length of a rod is 4ft and the linear density at the center is 2 kg/ft. The measure of the linear density at a point on the rod varies directly as the third power of the measure of the distance of that point from the left end of the rod. Set-up the definite integral that will give the center of the rod.
Transcribed Image Text:A. Let R be the region bounded by y=3* –1 , y= 0, and x=2. Set-up only the definite integral that will yield the following: 1. Volume of the solid generated when R is revolved about a. the x-axis using i. vertical strips eq1 ii horizontal strips b. у- using x as the variable of integration B. Set-up the integral that will find the following a. centroid of the region R b. centroid of the solid generated by revolving R about the line x= 3. c. centroid of the solid generated by revolving R about the line y = 8. C. Set-up the definite integral to find the length of the arc of the graph of y = Vx-1 from x = 2 to x= 5. D. Set-up the definite integral that will give the area of the surface generated by revolving the arc y=2* from x=0 to x=2. a. about x=2 using x as a variable of integration b. about y = 5 using x as the variable of integration E. The length of a rod is 4ft and the linear density at the center is 2 kg/ft. The measure of the linear density at a point on the rod varies directly as the third power of the measure of the distance of that point from the left end of the rod. Set-up the definite integral that will give the center of the rod.
eq1 10 8 -8 -6 -4 -2 4. 8. -2 -6 2.
Transcribed Image Text:eq1 10 8 -8 -6 -4 -2 4. 8. -2 -6 2.
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