Exercise 1 Change of variables. Using a change of variables, convert integrals in Cartesian coordinates into cylindrical coordinates. (a) Write down x, y, z as a function of r, 0, z (b) Compute the Jacobian determinant of the transformation (c) Solve the following integral using cylindrical coordinates: SE ydV where E is the region that lies below the plane z = x+2 and above z = 0, and between the two surfaces x+y21 and x + y = 4. -