Arizona Western College Student Name: MAT 230-001 Calculus II with Analytic Geometry A.A. Math PSLO 3 Student Assessment Take Home Assignment Instructor: Kweiman Yang This is a benchmark assessment for monitoring student competency for the PSLO (Program- level Student Learning Outcome) practice example. For Valentine's Day, you decide to make your own vase to hold the flowers for you significant other. To make the vase, you rotate the curve y = x for the outer surface and the curve y = 1.25x + 1 for the inner surface about the y-axis. You will make a flat bottom so that it will not keep rolling over. a) How high should you make the vase so that it holds 2 liters of water? Assume that your coordinate system is scaled in centimeters. (Also note that 2 liters = 2000 cm .) (5 points) b). Graph a 2-D figure to show your design vase. (5 points) c) What volume of material do you need to create the vase? 10 points)