Find the flux of the vector field F across the surface S in the indicated direction. F = 6x i + 6y j + z k; S is portion of the plane x + y + z = 6 for which 0 ≤ x ≤ 4 and 0 ≤ x ≤ 3 direction is outward (away from origin) HINT: rewrite the equation of the plane as z=6-x-y, then this is the case of z=f(x,y) a) - 138 b) 246 c) 564 d) 282
Find the flux of the vector field F across the surface S in the indicated direction. F = 6x i + 6y j + z k; S is portion of the plane x + y + z = 6 for which 0 ≤ x ≤ 4 and 0 ≤ x ≤ 3 direction is outward (away from origin) HINT: rewrite the equation of the plane as z=6-x-y, then this is the case of z=f(x,y) a) - 138 b) 246 c) 564 d) 282
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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Question
Find the flux of the
F = 6x i + 6y j + z k; S is portion of the plane x + y + z = 6 for which 0 ≤ x ≤ 4 and 0 ≤ x ≤ 3
direction is outward (away from origin) HINT: rewrite the equation of the plane as z=6-x-y, then this is the case of z=f(x,y)
a) |
- 138
|
|
b) |
246
|
|
c) |
564
|
|
d) |
282
|
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