3. Use Gauss' theorem to evaluate IL (* + y + 2) do, where E is the surface of the ball x? + y? + z² < 1. < 1. Hint: To use the theorem, you first need to find a vector field F such that F.n = x² + y + z. %3|

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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3. Use Gauss' theorem to evaluate
/L (2² + y + z) do,
where E is the surface of the ball x? + y? + z² < 1.
Hint: To use the theorem, you first need to find a vector field F such that
F.î = x2 + Y + z.
Transcribed Image Text:3. Use Gauss' theorem to evaluate /L (2² + y + z) do, where E is the surface of the ball x? + y? + z² < 1. Hint: To use the theorem, you first need to find a vector field F such that F.î = x2 + Y + z.
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