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over the open surface S given by the upper part (only) of the intersection of ti of the function z = f(x, y) = 9 – x² – y? %3D -

over the open surface S given by the upper part (only) of the intersection of ti of the function z = f(x, y) = 9 – x² – y? %3D -

Advanced Engineering Mathematics
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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Needed to be solved correclty in 10 minutes please solve correctly and get the thumbs up and by hand solution needed
Find the net flux of the vector field F(x,y, z) = (x, y, z) %3D over the open surface S given by the upper part (only) of the intersection of the graph of the function z = f(x, y) = 9 – a² – y? with the plane z = 5. In other words, evaluate the surface integral in a vector field || F-dS, where the normal n is the outer normal to S (that is, pointing upwards) and S is the open surface described above.
Transcribed Image Text:Find the net flux of the vector field F(x,y, z) = (x, y, z) %3D over the open surface S given by the upper part (only) of the intersection of the graph of the function z = f(x, y) = 9 – a² – y? with the plane z = 5. In other words, evaluate the surface integral in a vector field || F-dS, where the normal n is the outer normal to S (that is, pointing upwards) and S is the open surface described above.
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