find-the-flux-of-the-vector-field-F-xi-yj-x-2-y-2-1-k-through-outer-side-of-hyper-boloide-z-x-2-y-2-1-bounded-by-the-planes-z-0-and-z-3-

Tinku Tara June 4, 2023 Vector Calculus 0 Comments

Question Number 128688 by BHOOPENDRA last updated on 09/Jan/21

find the flux of the vector field F=xi^� +yj^� +(√(x^2 +y^2 −1 k^� )) through outer side of hyper−boloide z=(√(x^2 +y^2 −1)) bounded by the planes z=0 and z=(√3)

$${find}\:{the}\:{flux}\:{of}\:{the}\:{vector}\:{field} \\ $$$${F}={x}\hat {{i}}+{y}\hat {{j}}+\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{1}\:\hat {{k}}} \\ $$$${through}\:{outer}\:{side}\:{of}\:{hyper}−{boloide} \\ $$$${z}=\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{1}} \\ $$$${bounded}\:{by}\:{the}\:{planes}\: \\ $$$${z}=\mathrm{0}\:{and}\:{z}=\sqrt{\mathrm{3}} \\ $$

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find-the-flux-of-the-vector-field-F-xi-yj-x-2-y-2-1-k-through-outer-side-of-hyper-boloide-z-x-2-y-2-1-bounded-by-the-planes-z-0-and-z-3-

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