Math 2E- Fall 2022 Final - Page 7 of 7 7. (10 points) Let S be the half of the ellipsoid 4x2 + y² + 4z² = 4 that lies to the ri the xz-plane, oriented in the direction of the positive y-axis. Suppose that F = (ey+z)i + ezj + x³zk. Find the flux of curl(F) across S 12/07 JJ₂ curl(F).d.S.
Math 2E- Fall 2022 Final - Page 7 of 7 7. (10 points) Let S be the half of the ellipsoid 4x2 + y² + 4z² = 4 that lies to the ri the xz-plane, oriented in the direction of the positive y-axis. Suppose that F = (ey+z)i + ezj + x³zk. Find the flux of curl(F) across S 12/07 JJ₂ curl(F).d.S.
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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![Math 2E- Fall 2022.
Final - Page 7 of 7
7. (10 points) Let S be the half of the ellipsoid 4x² + y² + 4z² = 4 that lies to the r
the xz-plane, oriented in the direction of the positive y-axis. Suppose that
F = (ey + 2)i+ezj+x³zk.
Find the flux of curl(F) across S
curl(F). ds.
12/07
S](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff98fde8d-bee3-4170-b3eb-9f1ac6219500%2F8a561d33-5fca-4f2c-9248-e2e91029378c%2Fnshz1q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Math 2E- Fall 2022.
Final - Page 7 of 7
7. (10 points) Let S be the half of the ellipsoid 4x² + y² + 4z² = 4 that lies to the r
the xz-plane, oriented in the direction of the positive y-axis. Suppose that
F = (ey + 2)i+ezj+x³zk.
Find the flux of curl(F) across S
curl(F). ds.
12/07
S
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