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?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
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
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning