4. Find the flux of the vector field F(x, y, z) = (y² + z²)i + (x² + z²)j + z(x² + y²) k - across the surface S, which is the surface of the solid bounded by the paraboloid z 9- x² - y² and the xy-plane. After you are finished integrating, try to use algebra instead 35 of arithmetic to arrive at the answer: 2 π

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please give me answer very fast in 5 min sini
4.
Find the flux of the vector field
F(x, y, z) = (y² + z²)i + (x² + z²)j + z(x² + y²) k
across the surface S, which is the surface of the solid bounded by the paraboloid z =
9 - x² - y² and the xy-plane. After you are finished integrating, try to use algebra instead
35
of arithmetic to arrive at the answer:
-π
2
Transcribed Image Text:4. Find the flux of the vector field F(x, y, z) = (y² + z²)i + (x² + z²)j + z(x² + y²) k across the surface S, which is the surface of the solid bounded by the paraboloid z = 9 - x² - y² and the xy-plane. After you are finished integrating, try to use algebra instead 35 of arithmetic to arrive at the answer: -π 2
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