Find the volume of the solid generated by revolving about the x-axis the area bounded by y = Vx, x = 4 and the x-axis. 1. %3D (%3D

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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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1. Find the volume of the solid generated by revolving about the x-axis the area bounded by y =
the x-axis.
vx , x = 4 and
2. Find the circumference of the circle r = 4sin@.
%3D
3. Find the centroid of the area bounded by y= 4x - x² and x + y = 4
4. Fine the centroid of the solid generated by revolving about the indicated axis the area bounded by the given
curves.
a. y = x, y = 3, x = 0; about the y-axis
b. xy = 4, X = 1, x = 4, y = 0; about the x-axis
Transcribed Image Text:1. Find the volume of the solid generated by revolving about the x-axis the area bounded by y = the x-axis. vx , x = 4 and 2. Find the circumference of the circle r = 4sin@. %3D 3. Find the centroid of the area bounded by y= 4x - x² and x + y = 4 4. Fine the centroid of the solid generated by revolving about the indicated axis the area bounded by the given curves. a. y = x, y = 3, x = 0; about the y-axis b. xy = 4, X = 1, x = 4, y = 0; about the x-axis
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