24. Dis bounded by the plane z = 2y and by y = 4- x. 6(x. y.z) = y'lb/in. (Note: this is the same region as used in Exercise 14.) %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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24.
20
dz dy dx
(
In Exercises 21-24, find the center of mass of the solid repre-
sented by the indicated space region D with density function
6(x,y,z).
21 Dis bounded by the coordinate planes and
z=2-2x/3-2y, 8(x,y,z) = 10gm/cm³.
(Note: this is the same region as used in Exercise 9.)
ier to
22. Dis bounded by the planes y = 0, y = 2, x = 1, z = 0 and
z= (3-x)/2; 6(x,y, z) = 2gm/cm'.
(Note: this is the same region as used in Exercise 10.)
23. Dis bounded by the planes x = 2, y = 1, z = 0 and
Tz = 2x+ 4y-4; 6(x.y, 2) = x'lb/in.
(Note: this is the same region as used in Exercise 13.)
24. Dis bounded by the plane z 2y and by y = 4- x.
6(x, y. 2) = y'lb/in.
(Note: this is the same region as used in Exercise 14.)
827
Transcribed Image Text:20 dz dy dx ( In Exercises 21-24, find the center of mass of the solid repre- sented by the indicated space region D with density function 6(x,y,z). 21 Dis bounded by the coordinate planes and z=2-2x/3-2y, 8(x,y,z) = 10gm/cm³. (Note: this is the same region as used in Exercise 9.) ier to 22. Dis bounded by the planes y = 0, y = 2, x = 1, z = 0 and z= (3-x)/2; 6(x,y, z) = 2gm/cm'. (Note: this is the same region as used in Exercise 10.) 23. Dis bounded by the planes x = 2, y = 1, z = 0 and Tz = 2x+ 4y-4; 6(x.y, 2) = x'lb/in. (Note: this is the same region as used in Exercise 13.) 24. Dis bounded by the plane z 2y and by y = 4- x. 6(x, y. 2) = y'lb/in. (Note: this is the same region as used in Exercise 14.) 827
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