Question Number 128688 by BHOOPENDRA last updated on 09/Jan/21
$${find}\:{the}\:{flux}\:{of}\:{the}\:{vector}\:{field} \\ $$$${F}={x}\hat {{i}}+{y}\hat {{j}}+\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{1}\:\hat {{k}}} \\ $$$${through}\:{outer}\:{side}\:{of}\:{hyper}−{boloide} \\ $$$${z}=\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{1}} \\ $$$${bounded}\:{by}\:{the}\:{planes}\: \\ $$$${z}=\mathrm{0}\:{and}\:{z}=\sqrt{\mathrm{3}} \\ $$