Consider the area in the yz-plane bounded by z = y^2, z = 0, y = 0, and y = 1. 1
ID: 2850276 • Letter: C
Question
Consider the area in the yz-plane bounded by z = y^2, z = 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 formal by rotating time region about the z-axis. Be sure to include a sketch. 2. Set up a double integral iii polar coordinates that describes the volume of time 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 top surface is not z = y^2. 3. Set up a triple integral in cylindrical coordinat4 describing time volume of the solid in question 1. 4. Evaluate by hand the three integrals above to show that time volumes agree. Use the back of this paper or another sheet to show the work for this Question.Explanation / Answer
Consider the area in the yz-plane bounded by z = y^2, z = 0, y = 0, and y = 1. 1