3 3. Let S be the portion of the cone with equation z² = x² + y² which lies between the planesz = 1 and z = 2, oriented so that the normal vectors point inward and upward.(a) Give S a parameterization of the form r(u, v), where (u, v) [a, b] × [c, d], making sureto be consistent with the orientation of S we want.(b) As you did in problem 2, use this parameterization to find the boundaries of S.1(c) Let F be the vector field xy i+z²j-(x −z) k. Stokes' theorem relates the curl integralof F over S to the circulation integral of F along the boundary of S. The surface in thisproblem has two boundaries which we can call C and C". This means that in this case,Stokes' theorem tells us thatJJ-dy ^dz +dz / dx +_dr ^ dy = [ ₁₁Jo+dx +dx +dy +dy +dzdz.Fill in the blanks, and describe C and C' geometrically. You do not have to evaluatethe integrals.

Given that S is the portion of the cone with the equation z2=x2+y2 which lies between the planes z=1…

Let S be the portion of the cone with equation z² = x² + y² which lies between the planes z = 1 and z = 2, oriented so that the normal vectors point inward and upward. (a) Give S a parameterization of the form r(u, v), where (u, v) [a, b] × [c, d], making sure to be consistent with the orientation of S we want. (b) As you did in problem 2, use this parameterization to find the boundaries of S.