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(d) Now invent another vector field F and repeat steps (a) and (b). (a) W/L

(d) Now invent another vector field F and repeat steps (a) and (b). (a) W/L

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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Only need part d please!
4. In this exercise you on the basis of carrying (a) Let F(x,y,z) = x²i+yj + zk. Compute fs F dS over the surface of the cube out the following computations. bounded by the planes x = M 1 = 1, y = 0, y = 1, z = 0, z = 1 (fig. 4.47). 0, x= 1 Figure 4.47 (b) Let f(x,y,z) = VF, and compute 1200 e SSS.f(x,y,z) dv over the cube. Notice that here limits are no problem; we have simply SS. S. f(x,y,z) dx dy dz (c) If your answers to (a) and (b) are not equal, check your work until you find the mistake. (d) Now invent another vector field F and repeat steps (a) and (b). (e) What do you conjecture from this?
Transcribed Image Text:4. In this exercise you on the basis of carrying (a) Let F(x,y,z) = x²i+yj + zk. Compute fs F dS over the surface of the cube out the following computations. bounded by the planes x = M 1 = 1, y = 0, y = 1, z = 0, z = 1 (fig. 4.47). 0, x= 1 Figure 4.47 (b) Let f(x,y,z) = VF, and compute 1200 e SSS.f(x,y,z) dv over the cube. Notice that here limits are no problem; we have simply SS. S. f(x,y,z) dx dy dz (c) If your answers to (a) and (b) are not equal, check your work until you find the mistake. (d) Now invent another vector field F and repeat steps (a) and (b). (e) What do you conjecture from this?
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