Please help me out with this problem in calc 3. My issue is mostly question 1 and getting started!
This optional Feel free t o work with others in the class, but your final solutions must be your own work. Consider the area in the yz-plane bounded by :- 2,2-0, y = 0, and y = 1. 1. Using the shell method from Calc II, set up a single integral that describes the volume of the solid formed by rotating the region about the z-axis. Be sure to include a sketch. 2. Set up a double integral in polar coordinates that describes the volume of the solid in question 1. Hint 1: You'll need to determine the function that describes the top surface of the solid. Hint 2: The equation of the top surface is not z 3. Set up a triple integral in cylindrical coordinates describing the volume of the solid in question 1. Evaluate by hand the three integrals above to show that the volumes agree. Use the back of this paper or another sheet to show the work for this question.
