paraboloid
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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![8. Evaluate the surface integral SSF. ds for the given vector field F and the oriented
surface S.
(a) F(x, y, z) = xyi +yzj + zxk, S is the part of the paraboloid z = 4 - x² - y²
that lies above the square 0 ≤ x ≤ 1,0 ≤ y ≤ 1, and has upward orientation.
(b) f(x, y, z) =yj - zk, S consists of the paraboloid y = x² + z², 0 ≤ y ≤ 1, and
the disk x² + z² ≤ 1, y = 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F629ec728-f654-45d6-9500-08abd7a37916%2Fc0acd350-6d99-40b6-9dce-2bf75e2f0516%2Ft22yie_processed.png&w=3840&q=75)
Transcribed Image Text:8. Evaluate the surface integral SSF. ds for the given vector field F and the oriented
surface S.
(a) F(x, y, z) = xyi +yzj + zxk, S is the part of the paraboloid z = 4 - x² - y²
that lies above the square 0 ≤ x ≤ 1,0 ≤ y ≤ 1, and has upward orientation.
(b) f(x, y, z) =yj - zk, S consists of the paraboloid y = x² + z², 0 ≤ y ≤ 1, and
the disk x² + z² ≤ 1, y = 1.
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