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Find the upward flux of F(x, y, z) =< x, 2y, z > through the part of z = 8 - 2x² – 2y², 0 ≤ z ≤ 6.

Find the upward flux of F(x, y, z) =< x, 2y, z > through the part of z = 8 - 2x² – 2y², 0 ≤ z ≤ 6.

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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I am being asked to find upward flux of a field through a surface given by Z. I tried this by doing the partial of Z for all variables, then finding its magnitude. I then found the bounds in polar coordinates by taking the z equation and finding when r would make z 6. I think I messed up somewhere in the process since I didn’t use the Field at all to find the equation to solve. I am not sure where I went wrong or what to do. What is the correct direction to be taking and how is the field used in this problem?
**Problem Statement:** Calculate the upward flux of the vector field **
Transcribed Image Text:**Problem Statement:** Calculate the upward flux of the vector field **
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