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In Exercises 21-24, find the center of mass of the solld repre- sented by the Indicated space reglon D with density function 6(x, y,2). 21 Dis bounded by the coordinate planes and z=2-2x/3-2y, 6(x,y,z) = 10gm/cm. (Note: this is the same region as used in Exercise 9.) %3D 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'. %3D %3D

In Exercises 21-24, find the center of mass of the solld repre- sented by the Indicated space reglon D with density function 6(x, y,2). 21 Dis bounded by the coordinate planes and z=2-2x/3-2y, 6(x,y,z) = 10gm/cm. (Note: this is the same region as used in Exercise 9.) %3D 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'. %3D %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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22.
In Exercises 21-24, find the center of mass of the solid repre- sented by the Indicated space regon D with density function 6(x, y,2). 21 Dis bounded by the coordinate planes and z=2-2x/3-2y, 8(x, y, z) = 10gm/cm. (Note: this is the same region as used in Exercise 9.) er to %3D 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 T2= 2x+ 4y-4; 6(x, y, 2) = x'Ib/in. (Note: this is the same region as used in Exercise 13.) 24. Dis bounded by the plane z = 2y and by y= 4-xr. 6(x, y, z) = yib/in. (Note: this is the same region as used in Exercise'14.) 827
Transcribed Image Text:In Exercises 21-24, find the center of mass of the solid repre- sented by the Indicated space regon D with density function 6(x, y,2). 21 Dis bounded by the coordinate planes and z=2-2x/3-2y, 8(x, y, z) = 10gm/cm. (Note: this is the same region as used in Exercise 9.) er to %3D 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 T2= 2x+ 4y-4; 6(x, y, 2) = x'Ib/in. (Note: this is the same region as used in Exercise 13.) 24. Dis bounded by the plane z = 2y and by y= 4-xr. 6(x, y, z) = yib/in. (Note: this is the same region as used in Exercise'14.) 827
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