Let-S-be-delimited-by-the-equations-x-0-y-0-z-0-and-x-y-z-0-Find-the-flux-of-vector-field-V-x-y-z-x-y-x-2-y-2-through-S-

Tinku Tara June 4, 2025 Probability and Statistics 0 Comments

Question Number 221417 by leromain last updated on 04/Jun/25

Let S be delimited by the equations x=0; y=0 ; z=0 and x+y+z=0 Find the flux of vector field V(x,y,z)=(x,y,x^2 +y^2 ) through S

$${Let}\:\:{S}\:{be}\:{delimited}\:{by}\:{the}\:{equations}\: \\ $$$${x}=\mathrm{0};\:{y}=\mathrm{0}\:;\:{z}=\mathrm{0}\:{and}\:{x}+{y}+{z}=\mathrm{0} \\ $$$${Find}\:{the}\:{flux}\:{of}\:{vector}\:{field}\: \\ $$$${V}\left({x},{y},{z}\right)=\left({x},{y},{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)\:{through}\:{S} \\ $$

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Let-S-be-delimited-by-the-equations-x-0-y-0-z-0-and-x-y-z-0-Find-the-flux-of-vector-field-V-x-y-z-x-y-x-2-y-2-through-S-

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