a) Find the volume of the solid obtained by rotating the region bounded by the curves y = 2x + 1, x = 1, x = 4 about the x-axis.

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
Section9.4: Polyhedrons And Spheres
Problem 48E: Sketch the solid that results when the given circle of radius length 1 unit is revolved about the...
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a) Find the volume of the solid obtained by
rotating the region bounded by the curves
y = 2x + 1, x = 1, x = 4 about the x-axis.
b) Find the volume of the solid obtained by
rotating the region bounded by the curves
y = 6 – x² and y = 2 about the x-axis.
Transcribed Image Text:a) Find the volume of the solid obtained by rotating the region bounded by the curves y = 2x + 1, x = 1, x = 4 about the x-axis. b) Find the volume of the solid obtained by rotating the region bounded by the curves y = 6 – x² and y = 2 about the x-axis.
a) Sketch the region enclosed by the curves
y = 12 – x², y = x² – 20.
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b) Find the area of the region in part a).
Transcribed Image Text:a) Sketch the region enclosed by the curves y = 12 – x², y = x² – 20. - b) Find the area of the region in part a).
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