Use the Divergence Theorem to evaluate N ds and find the outward flux of F through the surface of the solid S bounded by the graphs of the equations. Use a computer algebra system to verify your results. F(x, y, z) = x²i – 2xyj + xyz?k S: z = Va? - x? – y², z = 0

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.5: Solution Of Cubic And Quartic Equations By Formulas (optional)
Problem 29E
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Use the Divergence Theorem to evaluate
F.N ds
and find the outward flux of F through the surface of the solid S bounded by the graphs of the equations. Use a computer algebra system to verify your results.
F(x, y, z) = x²i – 2xyj + xyz?k
S: z = Va2 - x² - y², z = 0
Transcribed Image Text:Use the Divergence Theorem to evaluate F.N ds and find the outward flux of F through the surface of the solid S bounded by the graphs of the equations. Use a computer algebra system to verify your results. F(x, y, z) = x²i – 2xyj + xyz?k S: z = Va2 - x² - y², z = 0
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