The bounded area generated from the curves y = 1 - x² and y = 0 is to be rotated around x = 1. Which of the following is the correct setup in calculating its volume using cylindrical shells method? O a. None of the choices. b. 2л (x³ – x² – x + 1) dx /(-x* +x) dx 2л d. 2л (-x³ x² + x + 1) dx е. 2n + 1) dx
The bounded area generated from the curves y = 1 - x² and y = 0 is to be rotated around x = 1. Which of the following is the correct setup in calculating its volume using cylindrical shells method? O a. None of the choices. b. 2л (x³ – x² – x + 1) dx /(-x* +x) dx 2л d. 2л (-x³ x² + x + 1) dx е. 2n + 1) dx
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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Transcribed Image Text:The bounded area generated from the curves y = 1 – x² and y = 0 is to be rotated around x = 1. Which of the following is the
correct setup in calculating its volume using cylindrical shells method?
O a.
None of the choices.
Ob.
2n
(x3 - x2 - x + 1) dx
-1
Oc.
(-x³ + x) dx
d.
2л
(-x3 - x? + x + 1) dx
O e.
(-x2 + 1) dx
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