12. The graph of y=x² between x=1 and x=3 is rotated completely around the x-axis volume generated.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
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Answer the following with the correct letter.  If the answer is not on the choices given, indicate the correct answer. Show formal solution comprehensively and legibly (only applicable to computational items).

 

12. The graph of y=x² between x=1 and x=3 is rotated completely around the x-axis. Find
the volume generated.
a. 28.4 π u³
c. 48.4 π u³
d. 58.4 π u³
b. 38.4 π u³
13. Find the volume generated by rotating the region bounded by y=x, y=1 and the y-
axis rotated about the y-axis.
а. π
1,
b. π
d. n
14. The following methods can be applied in determining the volume of solids of
revolution except
c. Circular Ring Method
a. Disk (Washer) Method
b. Cylindrical Shell Method
d. Laplace Transform Method
Transcribed Image Text:12. The graph of y=x² between x=1 and x=3 is rotated completely around the x-axis. Find the volume generated. a. 28.4 π u³ c. 48.4 π u³ d. 58.4 π u³ b. 38.4 π u³ 13. Find the volume generated by rotating the region bounded by y=x, y=1 and the y- axis rotated about the y-axis. а. π 1, b. π d. n 14. The following methods can be applied in determining the volume of solids of revolution except c. Circular Ring Method a. Disk (Washer) Method b. Cylindrical Shell Method d. Laplace Transform Method
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