Question

Problem 1 part II and Problem 2 part I and II

Problem 1: (Short Answer) 6 pts] The region R is bounded by y 0, 0, 2, and y- 2 4 1, 3 pts] If R is revolved about the line x = 5. If an integral or sunn of integrals with respect to z is used to calculate the volume, explain whether the washer or shell method should be used II. 3 pts) Suppose that R is the base of a solid. Cross-sections taken parallel one of the coordinate axes are squares. If an integral with respect to r is used to set up the volume, explain whether the cross sections are parallel to the r-axis or parallel to the y-axis Problem 2: (Multiple Choice) 4 pts Cirele the response that best answers each question. Each question is worth 2 points. Possibly helpfal images for each region are shown at the bottom of the page. There is no penalty for guessing and no partial credit. rs_2and y # 0 and the region R2 is bounded by y#2-r2 and y l. The region R. is bounded by V Both solids are revolved about the line y-3. Let Vi denote the volame of the solid obtained by revolving R and denote the volume of the solid obtained by revolving Ra about the axis of revolution Which of the following describes the relationship between Vi and V? A. Iİ 1, D. It depends on whether washer or shell method is used. ll. The region R is bounded by 21-y2-2y = 1,1-y®-2y = 2, z +4y = 2, and y =-1/2. A solid of revolution is formed by revolving R about a 2. What is the minimummber of integrals meeded to express the volume of the solid if the washer method is used? A. 1 C. 3 B. 2 D. more than 3 E none of these Images----. R2 Ri -3 The figure for Part The figure for Part II

Answer 1

4) (2,0) Co,o) +o 2 2. 3 , 2 224- 2

2 넙 2 2 ) Boundid 2x - 2x 2. 2

2. 4- 2 4- 4-