Calculas 3 Surface Integral 2 problems Give a parametric description of the form r(u,v) = (x(u,v),y(u,v),z(u,v)) for the frustum of the cone z =x +y, for 3 sz 6.Select the correct choice below.O A. r(u,v) = (6v cos u,3v sin u,v), 0sus 2T, 3svs6O B. r(u,v)= (v cos u,v sin u,v), 0sus2r, 3svs6O C. r(u,v) = (6v cos u,3v sin u,v), 0sus 2r, 3svs6O D. r(u,v)=C u,2sin u,v), 0su 2n, 3 Give a parametric description of the form r(u,v) = (x(u,v),y(u,v),z(u,v)) for the following surface.The cap of the sphere x + y+z = 49, for2Select the correct choice below and fill in the answer boxes to complete your choice.(Type any angle measures in radians. Use angle measures greater than or equal to 0 and less than 2n. Type exact answers in termsO A. r(u,v)= (7 cos u sin v,7 sin u sin v,7 sin v) forandB. r(u,v) = (7 cos u,7 sin u,v) for

Since you have asked multiple questions, we will solve the first question for you. If you want any specific question to be solved then please specify the question number or post only that question. In cylindrical coordinates, x=r cosθ, y=r sinθ, z=z. Change to u-v plane. x=v cos u, y=v sinu, z=z. From the equation of the cone z2=x2+y2, z2=(v cosu)2+(v sinu)2 =v2 cos2u+v2 sin2u =v2 gives z=v.Since 3≤z≤6, 3≤v≤6 and 0≤u≤2π. Thus the parametric description for the given frustum of cone is r(u,v)=v cos u, v sin u, v, 0≤u≤2π, 3≤v≤6. Option B is correct.