Let a and b be two positive real numbers. A region N in (x, y, z) space is given by n= {(x,y, 2) |x² + y² sa², os x, 0< y, 0

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let a and b be two positive real numbers. A region N in (x, y, z) space is given by
n= {(x,y,2) | + y sa?, o<x, 0 <y, 0<zs6}.
We consider the vector field V(x,y,z) = ( x² – 2 x z ,5 y z, 2ye* ).
a) Determine a parametric representation of N.
b) Compute the flux of V out through the surface an of O.
Transcribed Image Text:Let a and b be two positive real numbers. A region N in (x, y, z) space is given by n= {(x,y,2) | + y sa?, o<x, 0 <y, 0<zs6}. We consider the vector field V(x,y,z) = ( x² – 2 x z ,5 y z, 2ye* ). a) Determine a parametric representation of N. b) Compute the flux of V out through the surface an of O.
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