By using the disk method, determine the integral which gives the volume of the solid obtained by rotating the region bounded by the curves y=e, x=3 and x-axis and y-axis about the line y = -3 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
By using the disk method, determine the integral which gives the volume of the solid obtained by rotating the region
bounded by the curves y = e¯², x= 3 and x-axis and y-axis about the line y = -3
3
a)V = r f (e - 3)°dz – 6r b)V = (e – 3)°dz – 9n
c)V = r § (e¯² + 3)°dæ + 12¤
d)V = x § (e
- 6e¯*) dx
3.
= Tf (e 2= + 6e =) dæ
Transcribed Image Text:By using the disk method, determine the integral which gives the volume of the solid obtained by rotating the region bounded by the curves y = e¯², x= 3 and x-axis and y-axis about the line y = -3 3 a)V = r f (e - 3)°dz – 6r b)V = (e – 3)°dz – 9n c)V = r § (e¯² + 3)°dæ + 12¤ d)V = x § (e - 6e¯*) dx 3. = Tf (e 2= + 6e =) dæ
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