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Given vector field F = (z + 2x, 3x + 4y,5y + 6z), and the box-like surface S surrounding the solid defined by 0≤x≤ 1,0 ≤ y ≤ 2,0 ≤z≤ 3. Use the divergence theorem to find the outward flux ff, F.n ds.

Given vector field F = (z + 2x, 3x + 4y,5y + 6z), and the box-like surface S surrounding the solid defined by 0≤x≤ 1,0 ≤ y ≤ 2,0 ≤z≤ 3. Use the divergence theorem to find the outward flux ff, F.n ds.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.2: Inner Product Spaces
Problem 101E: Consider the vectors u=(6,2,4) and v=(1,2,0) from Example 10. Without using Theorem 5.9, show that...
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#1. Given vector field F = (z + 2x, 3x + 4y,5y + 6z), and the box-like surface S surrounding the solid defined by 0≤x≤ 1,0 ≤ y ≤ 2,0 ≤ z ≤ 3. Use the divergence theorem to find the outward flux ff, F. n ds.
Transcribed Image Text:#1. Given vector field F = (z + 2x, 3x + 4y,5y + 6z), and the box-like surface S surrounding the solid defined by 0≤x≤ 1,0 ≤ y ≤ 2,0 ≤ z ≤ 3. Use the divergence theorem to find the outward flux ff, F. n ds.
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