Transcription of Math 166 Midterm Exam, Part 1
1 math 166 Midterm Exam, part 1 Fall 2014 You mayNOTuse a calculator on this section of the exam. This section has6 questions. It has been printed on 4 pages and is worth 50 points. An-swer all the questions in the spaces provided. In order to receive maximumcredit, you must provide exact answers wherever appropriate, clearly indi-cating how you arrived at your answers. This section will be collected after45 minutes, after which you may use a calculator to complete the remainingsection. By signing below, you pledge that you1. will not communicate to any person in any conceivable way anythingabout the contents of this exam until all students have taken the Exam, and2. in taking this exam now, you have not been the recipient of such com-munication from anyone signature:Your name:Your student ID number:Your section number:QuestionPointsScore182838485969 Total:50 math 166 Midterm Exam, Page 2 of 48 October 20141.
2 (8 points) Evaluate x2cos( 3x)dx2. (8 points) Evaluate 8u3 4 u2duMath 166 Midterm Exam, Page 3 of 48 October 20143. (8 points) Evaluate secytan3y (8 points) Evaluate (4x+6)sec2(2x) 166 Midterm Exam, Page 4 of 48 October 20145. (9 points) Evaluate 20x3dx 4 (9 points) Evaluate 4x2+2x(3x 1)(x2+1) 166 Midterm Exam, part 2 Fall 2014 YouMAYuse a calculator on this section of the exam. This section has 4 ques-tions. It has been printed on 5 pages and is worth 50 points. Answer all thequestions in the spaces provided. In order to receive maximum credit, youmust provide exact answers wherever appropriate, clearly indicating howyou arrived at your answers. By signing below, you pledge that you1. will not communicate to any person in any conceivable way anythingabout the contents of this exam until all students have taken the Exam, and2.
3 In taking this exam now, you have not been the recipient of such com-munication from anyone signature:Your name:Your student ID number:Your section number:QuestionPointsScore113213312412 Total:50 math 166 Midterm Exam, Page 2 of 58 October 20141. (13 points) Find the area of the surface generated by revolving about thex axis thepart of the curvey= 3+4x 166 Midterm Exam, Page 3 of 58 October 20142. (13 points) Use the method of cylindrical shells to find the volume of the solid ob-tained by rotating the region bounded by the following curves around +y2x=0y=1y=2 math 166 Midterm Exam, Page 4 of 58 October 20143. (12 points) A tank is filled with oil ofdensity40lb/ft3to a depth of3feet asshown in the figure at the right. Each ofits ends is a triangle of base5feet andheight5feet.
4 The length of the tank is10feet. How much work is required toempty the tank by pumping the oil to anoutlet1foot above the top of the tank? math 166 Midterm Exam, Page 5 of 58 October 20144. (12 points) Find the total mass of the region bounded byy=x29andy=4which hasdensityx2gr/cm2at the point(x, y). Herexandyare measured in centimeters.
