Instructions: There are 4 problems and the quiz is worth 50 points. Work out these problems by hand and upload your solutions, either as a scan or a pdf, to Moodle. You have all day to work on these. You can work together but your answers should be written yourselves. I expect the solutions to be turned in by 11.59 pm on April 5. Sketch the regions indicated in the problems Show your work CLEARLY 1. Calculate the volume of the solid obtained by rotating the region bounded by y = x + 1, y = 2x, and y = 0 about the x-axis. 2. Calculate the volume of the solid obtained by rotating the region bounded by y = x + 1, y = 2x, and y y-axis. 2x, and y = 0 about the 3. Calculate the volume of the solid obtained by rotating the region bounded by y = the x-axis. sin(2x), y c = cos(2), and x = 0 about 3. Calculate the volume of the solid obtained by rotating the region bounded by y = sin(2x), y = cos(2x), and x = 0 about the y-axis.