Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. a) y = 2 - x, y = 0, x = 1, x = 2; 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.
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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2. Find the volume of the solid obtained by rotating the region bounded by the given
curves about the specified line. Sketch the region, the solid, and a typical disk or
washer.
a) y = 2 - x, y = 0, x = 1, x = 2; about the x-axis
b) x = 2√√y, x = 0, y = 9; about the y-axis
Transcribed Image Text:2. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. a) y = 2 - x, y = 0, x = 1, x = 2; about the x-axis b) x = 2√√y, x = 0, y = 9; about the y-axis
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do b

e3x
3e3x
3. Find the total area between the region and the x-axis.
a. y = -x² - 2x, -3 ≤ x ≤2
b. y = 3x² -3, -2 ≤ x ≤ 2
2
Transcribed Image Text:e3x 3e3x 3. Find the total area between the region and the x-axis. a. y = -x² - 2x, -3 ≤ x ≤2 b. y = 3x² -3, -2 ≤ x ≤ 2 2
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