6. Let E denote the part of the unit ball above the X-Y plane. Let S denote the surface of E, but only the part below the plane z = V3, F.dS, 2 oriented with the top of S on the outside of E. Compute J₁³ where F(x, y, z) = zy-r y-2x y²+x²

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 2E
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6. Let E denote the part of the unit ball above the X-Y plane. Let S
denote the surface of E, but only the part below the plane z =
F.ds,
oriented with the top of S on the outside of E. Compute
where F(x, y, z) =
zy-x
y-2x
y²+x²
J's
29
Transcribed Image Text:6. Let E denote the part of the unit ball above the X-Y plane. Let S denote the surface of E, but only the part below the plane z = F.ds, oriented with the top of S on the outside of E. Compute where F(x, y, z) = zy-x y-2x y²+x² J's 29
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