Consider the surface S consisting of the part of the cone z = 5 - x² +y? above the plane z = 0, together with the disk x2 + y?

Extracted text: Consider the surface S consisting of the part of the cone z = 5 - x² +y? above the plane z = 0, together with the disk x2 + y? < 25.="" suppose="" we="" are="" interested="" in="" finding="" the="" flux="" of="" the="" vector="" field="" f=",0" across="" the="" surface="" s="" using="" the="" normal="" vector="" n="" pointing="" away="" from="" the="" origin.="" in="" order="" to="" find="" it,="" we="" would="" like="" to="" apply="" the="" divergence="" theorem="" to="" an="" appropriate="" three-dimensional="" region.="" a)="" divergence="" of="" f(x,y,z)="b)" write="" (but="" do="" not="" compute!)="" a="" triple="" integral="" in="" cylindrical="" coordinates="" which="" gives="" the="" flux="" of="" f="" 02="" r2="" z2="" flux="dz" dr="" de="" 01="" r1="" z1="" 01="02" =="" r1="r2=" z1="">