21. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line x = 2. y = 2x² y=0, x=2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
21. Find the volume of the solid generated by revolving the region bounded by the graphs of
the equations about the line x = 2.
y = 2x²
22. Find the arc length of the graph of the function over the indicated interval.
3 2/3 +4
[1,27]
y =
*
23. Find a set of parametric equations for the rectangular equation that satisfies the given condition.
y = 4x+1, t= -1 at the point(-2.-7)
24. Find dy/dx and find the slope at 0=
x=2+seco, y = 1+2 tan 0
r = a cose
y=0, x=2
70
3
25. Find the area of the surface generated by revolving the polar equation over
TU
the given interval about the line 0-
2
T
oses 2
Transcribed Image Text:21. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line x = 2. y = 2x² 22. Find the arc length of the graph of the function over the indicated interval. 3 2/3 +4 [1,27] y = * 23. Find a set of parametric equations for the rectangular equation that satisfies the given condition. y = 4x+1, t= -1 at the point(-2.-7) 24. Find dy/dx and find the slope at 0= x=2+seco, y = 1+2 tan 0 r = a cose y=0, x=2 70 3 25. Find the area of the surface generated by revolving the polar equation over TU the given interval about the line 0- 2 T oses 2
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