Which of the following expressions represents the volume of the solid generated when the region bounded by y=x²-5x +9 and y = 4 + 6x-x² is rotated about the line y = -5?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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A calculator is required for the following question.
Which of the following expressions represents the volume of the solid generated when the region
bounded by y=x²-5x +9 and y = 4+ 6x-x² is rotated about the line y = -5?
Select one:
a.
O b.
O. C.
O d.
π S₁ [(4 + 6x − x²) — (x² − 5x + 9)]dx
2
V = π
V = π
V = π
2
V = π
[(-1+6x-x²)²-(x²= 5x + 6)²]dx
₁ [(4 + 6x -x²)²-(x² - 5x + 9)²]dx
1/2
5
π S₁ [(9+ 6x-x²)²-(x² - 5x+14)²]dx
Transcribed Image Text:A calculator is required for the following question. Which of the following expressions represents the volume of the solid generated when the region bounded by y=x²-5x +9 and y = 4+ 6x-x² is rotated about the line y = -5? Select one: a. O b. O. C. O d. π S₁ [(4 + 6x − x²) — (x² − 5x + 9)]dx 2 V = π V = π V = π 2 V = π [(-1+6x-x²)²-(x²= 5x + 6)²]dx ₁ [(4 + 6x -x²)²-(x² - 5x + 9)²]dx 1/2 5 π S₁ [(9+ 6x-x²)²-(x² - 5x+14)²]dx
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