Set up an integral to find the volume of the solid of revolution obtained by rotating the region bounded by the curves (1 + y²)²x¹ = 9 and x = 1 above the x-axis about the line x = 1 (see the graph below). (1+y²)²x¹ =9 x = 1 (1, √2) B (1 + y²)²x¹ = 9 (1,-√2) The coordinates of P are (1, √2), and the coordinates are (1, -√2).
Set up an integral to find the volume of the solid of revolution obtained by rotating the region bounded by the curves (1 + y²)²x¹ = 9 and x = 1 above the x-axis about the line x = 1 (see the graph below). (1+y²)²x¹ =9 x = 1 (1, √2) B (1 + y²)²x¹ = 9 (1,-√2) The coordinates of P are (1, √2), and the coordinates are (1, -√2).
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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Transcribed Image Text:Set up an integral to find the volume of the solid of revolution obtained by rotating the region bounded by the
curves (1 + y²)²x¹ = 9 and x = 1 above the x-axis about the line x = 1 (see the graph below).
(1+y²)²x¹ =9
x = 1
(1, √2)
B
(1 + y²)²x¹ = 9
(1,-√2)
The coordinates of P are (1, √2), and the coordinates are (1, -√2).
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