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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
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.
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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