-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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![- 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5986935-b6be-4a96-bfb6-ef1e2a130287%2Fc6cf3fb2-217d-4d85-b6b3-d26746d622cb%2F2pdgyiv_processed.png&w=3840&q=75)
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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