In last week's lab you calculated the line integral of the vector field F = (2x, 3yz, xyz) around the boundary of the surface z = 1-x², -1 ≤ x ≤ 1,0 ≤ y ≤ 1, counterclockwise from above. The correct value was 8/15. Verify that the line integral you calculated last week is the same as the upward flux of V X F.
In last week's lab you calculated the line integral of the vector field F = (2x, 3yz, xyz) around the boundary of the surface z = 1-x², -1 ≤ x ≤ 1,0 ≤ y ≤ 1, counterclockwise from above. The correct value was 8/15. Verify that the line integral you calculated last week is the same as the upward flux of V X F.
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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![In last week's lab you calculated the line integral of the vector field F = (2x, 3yz, zyz)
around the boundary of the surface z = 1-², −1≤ x ≤ 1,0 < y<1,
counterclockwise from above. The correct value was 8/15. Verify that the line integral
you calculated last week is the same as the upward flux of V X F.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04dde56b-761e-4c3c-a9c4-32d577728202%2Fc06e9d85-f28e-47aa-8a79-567cd553c4c8%2Fxgqj9a_processed.png&w=3840&q=75)
Transcribed Image Text:In last week's lab you calculated the line integral of the vector field F = (2x, 3yz, zyz)
around the boundary of the surface z = 1-², −1≤ x ≤ 1,0 < y<1,
counterclockwise from above. The correct value was 8/15. Verify that the line integral
you calculated last week is the same as the upward flux of V X F.
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