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-0. Consider the vector field F = (21, 3y, 4z) and the surface z = 4-2² - y², z≥ 0. Write down the line integral and the surface integral that Stokes' Theorem tells us are equal for this vector field and surface. Evaluate both. Hint: The surface integral requires very little work. You do not even need to parameterize the surface.

-0. Consider the vector field F = (21, 3y, 4z) and the surface z = 4-2² - y², z≥ 0. Write down the line integral and the surface integral that Stokes' Theorem tells us are equal for this vector field and surface. Evaluate both. Hint: The surface integral requires very little work. You do not even need to parameterize the surface.

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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- y², Consider the vector field F = (2x, 3y, 4z) and the surface z = 4-2² Write down the line integral and the surface integral that Stokes' Theorem tells us are equal vector field and surface. Evaluate both. Hint: The surface integral requires very little work. You do not even need to parameterize the surface. 2 ≥ 0. for this
Transcribed Image Text:- y², Consider the vector field F = (2x, 3y, 4z) and the surface z = 4-2² Write down the line integral and the surface integral that Stokes' Theorem tells us are equal vector field and surface. Evaluate both. Hint: The surface integral requires very little work. You do not even need to parameterize the surface. 2 ≥ 0. for this
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Step 1

Given : F=2x , 3y , 4z                       ,     z=4-x2-y2      , z≥0   

Evaluate line integral and surface integral 

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