S is a closed surface made from two surfaces, S1 and S2. The first surface S1 can be described by a circular paraboloid given by z =2-x - y? and the second surface S2 is also a circular paraboloid but given by z= x2 + y² . Use Gauss' (divergence) theorem to find the flux of the vector field F =(2sin(z?), y',z) going outwards of the solid Q where solid Q is enclosed by surface S.
S is a closed surface made from two surfaces, S1 and S2. The first surface S1 can be described by a circular paraboloid given by z =2-x - y? and the second surface S2 is also a circular paraboloid but given by z= x2 + y² . Use Gauss' (divergence) theorem to find the flux of the vector field F =(2sin(z?), y',z) going outwards of the solid Q where solid Q is enclosed by surface S.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:b) S is a closed surface made from two surfaces, S1 and S2. The first surface S1 can be
described by a circular paraboloid given by z =2-x? – y? and the second surface S2 is
also a circular paraboloid but given by z= x? + y?. Use Gauss' (divergence) theorem to
find the flux of the vector field F = (2sin(z?), y²,z) going outwards of the solid Q where
solid Q is enclosed by surface S.
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