IX. Set up two double integrals to represent the volume above S, and below $2 - once in rectangular form and once in polar form. Do not evaluate the double integrals. You do not have to show any work. Find C, the curve of intersection of the surfaces. Write region D as a set in simplified rectangular form and as a set in polar form. Sketch D in the xy-plane. Sketch the surfaces. S: x2 +yz + 27 -6 and S,: z =4- Identify ( name) the surfaces. $1: and $2: Region D in rectangular form: Region D in Polar form: Double integral in Rectangular form: Double integral in polar form : Equation for C