★ 3. Use Stokes' Theorem to compute as F. dr F(x, y, z) = (z², x², y²) on the region bounded by z = 4-x² - y² for z≥0 as oriented clockwise when viewed from above 85 F.dr = SS curl F-n dA
★ 3. Use Stokes' Theorem to compute as F. dr F(x, y, z) = (z², x², y²) on the region bounded by z = 4-x² - y² for z≥0 as oriented clockwise when viewed from above 85 F.dr = SS curl F-n dA
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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For problem 3 only!
![★ 3. Use Stokes' Theorem to compute F. dr
as
★
F(x, y, z) = (z², x², y²) on the region bounded by z = 4 − x² - y² for z≥0
4. Use the Divergence Theorem to compute
aw
[ P dx + Q dy = [] (0 - 0) dA
əx
as oriented clockwise when viewed from above
curl Fn ds
with F(x, y, z) = (4xy + z², 2x² + 6yz, 2xz)
on the first octant region bounded by z = 9-y² and x = 4
[F.dr = [[ curt
85
curl Fn dA
43°F](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb17399b-3b88-4be5-9db3-81af534b05d4%2F147f54d0-83e0-492d-b153-f708c1c62015%2Fdosut9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:★ 3. Use Stokes' Theorem to compute F. dr
as
★
F(x, y, z) = (z², x², y²) on the region bounded by z = 4 − x² - y² for z≥0
4. Use the Divergence Theorem to compute
aw
[ P dx + Q dy = [] (0 - 0) dA
əx
as oriented clockwise when viewed from above
curl Fn ds
with F(x, y, z) = (4xy + z², 2x² + 6yz, 2xz)
on the first octant region bounded by z = 9-y² and x = 4
[F.dr = [[ curt
85
curl Fn dA
43°F
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