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z = 0 and z = 4.(Ans: 12ñ ) by the planes x' + y =9 between 13. A surface S consists of that part of the cylinder z =0 and z = 4 for y20 and two semicircles of radius 3 in the planes z = 0 and z =4.H F = zi +xy}+xzk , find the work done over the surface S.(Ans: -24) 14. A vector field F = yî +2î+k exists over a surface S defined by x' +y +z* =9 boundedb i x=0,y=0, z = 0 in the first octant. Find the flux of F over the surface indicated. (Ap. Зл 4 15. Find the flux of a vector field F =x î+y² ĵ+z² k across the boundary of a rectangular box. V:0

z = 0 and z = 4.(Ans: 12ñ ) by the planes x' + y =9 between 13. A surface S consists of that part of the cylinder z =0 and z = 4 for y20 and two semicircles of radius 3 in the planes z = 0 and z =4.H F = zi +xy}+xzk , find the work done over the surface S.(Ans: -24) 14. A vector field F = yî +2î+k exists over a surface S defined by x' +y +z* =9 boundedb i x=0,y=0, z = 0 in the first octant. Find the flux of F over the surface indicated. (Ap. Зл 4 15. Find the flux of a vector field F =x î+y² ĵ+z² k across the boundary of a rectangular box. V:0

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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z = 0 and z = 4.(Ans: 12ñ ) by the planes x' + y =9 between 13. A surface S consists of that part of the cylinder z =0 and z = 4 for y20 and two semicircles of radius 3 in the planes z = 0 and z =4.H F = zi +xy}+xzk , find the work done over the surface S.(Ans: -24) 14. A vector field F = yî +2î+k exists over a surface S defined by x' +y +z* =9 boundedb i x=0,y=0, z = 0 in the first octant. Find the flux of F over the surface indicated. (Ap. Зл 4 15. Find the flux of a vector field F =x î+y² ĵ+z² k across the boundary of a rectangular box. V:0<x<a,0<ysb,0<zSc. (Ans: abc(a+b+c) ) 16. Find the flux of the vector field k– across the sphere of radius R centered at origin, where F = (x, y,z) is the position vector ( Ans: 4xR*k) 17. Verify the Gauss Divergence theorem for the vector field F = k÷, over the surface of the sphere x + y +z² = R² where ï =(x,y,z) is the position vector. (Ans: 4nR*k) %D
Transcribed Image Text:z = 0 and z = 4.(Ans: 12ñ ) by the planes x' + y =9 between 13. A surface S consists of that part of the cylinder z =0 and z = 4 for y20 and two semicircles of radius 3 in the planes z = 0 and z =4.H F = zi +xy}+xzk , find the work done over the surface S.(Ans: -24) 14. A vector field F = yî +2î+k exists over a surface S defined by x' +y +z* =9 boundedb i x=0,y=0, z = 0 in the first octant. Find the flux of F over the surface indicated. (Ap. Зл 4 15. Find the flux of a vector field F =x î+y² ĵ+z² k across the boundary of a rectangular box. V:0<x<a,0<ysb,0<zSc. (Ans: abc(a+b+c) ) 16. Find the flux of the vector field k– across the sphere of radius R centered at origin, where F = (x, y,z) is the position vector ( Ans: 4xR*k) 17. Verify the Gauss Divergence theorem for the vector field F = k÷, over the surface of the sphere x + y +z² = R² where ï =(x,y,z) is the position vector. (Ans: 4nR*k) %D
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