-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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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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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