(a) Using the parametrization F(r, 0) = (r cos 0, r sin 0, 5r²), set up a double integral for calculating the flux of the vector field F(x, y, z) = (x, y, z), through the part of the upward oriented surface z = 5(x² + y²) that lies above the disk x² + y² ≤ 25. Flux = 110 Disk Flux = dr de (b) Evaluate the integral. ff. d. S F.dA=

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a) Using the parametrization (r, 0) = (r cos 0, r sin 0, 5r²), set up a double integral for calculating the flux of the vector field F(x, y, z) = (x, y, z), through the part of
the upward oriented surface z = 5(x² + y²) that lies above the disk x² + y² ≤ 25.
Flux =
10
Disk
(b) Evaluate the integral.
. dà =
Flux =
S
dr de
F.
Transcribed Image Text:(a) Using the parametrization (r, 0) = (r cos 0, r sin 0, 5r²), set up a double integral for calculating the flux of the vector field F(x, y, z) = (x, y, z), through the part of the upward oriented surface z = 5(x² + y²) that lies above the disk x² + y² ≤ 25. Flux = 10 Disk (b) Evaluate the integral. . dà = Flux = S dr de F.
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