2. Let S denote the piece of parabolic surface x2 + y? = z, 0 < z < 4. For the vector field F(x, y, z) = (y + xy, xz, z). calculate the integral (V x F) · n dA where the unit vector n is chosen so that its z component is positive.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Let S denote the piece of parabolic surface x2 + y? = z, 0 < z < 4. For the vector
field
F(x, y, z) = (y + xy, xz, z).
calculate the integral
(V x F) · n
dA
where the unit vector n is chosen so that its z component is positive.
Transcribed Image Text:2. Let S denote the piece of parabolic surface x2 + y? = z, 0 < z < 4. For the vector field F(x, y, z) = (y + xy, xz, z). calculate the integral (V x F) · n dA where the unit vector n is chosen so that its z component is positive.
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