Please dont turn over this page until you are directed to begin. Calculus ii tends to be a very difficult course for many students. Freely browse and use ocw materials at your own pace. The sample tests are just to give you an idea of the a general idea of the topics covered, the level of difficulty, how questions may be worded and, if solutions are provided, what is the acceptable level of detail required in the solutions. Calculus i practice final exam b this practice exam emphasizes conceptual connections and understanding to a greater degree than the exams that are usually administered in introductory singlevariable calculus courses. To receive proper credit however, you must show your intermediate work and box your. Question 7 determine whether the series is absolutely convergent, conditionally convergent or divergent. Start with an equilateral triangle of side length s and area a. Part i contains 18 multiplechoice problems with each problem worth 10 points. Students will need both the course textbook simmons, george f. Tests and solutions calculus 2 practice final exam with solutions. You must of course show your work, but for this problem are not required to give an explanation in english. This exam has six multiple choice questions six points each and ve free response questions with points as shown.
Uc merced old calculus exams with solutions, math 21. Since rotation is about the yaxis, the radius is x. Bilkent calculus i exams 1989 2019 1 allf 2019 midterm i 1. To view the acrobat pdf files for each document, click on the symbol. Khan academy is a nonprofit with the mission of providing a free, worldclass education for anyone, anywhere. Leave space if you want to delay answering a question. But you can take some of the fear of studying calculus away by understanding its basic principles, such as derivatives and antiderivatives, integration, and solving compound functions. Remove the equilateral triangle which has its vertices at the midpoint of each of the original. There are 21 pages to the exam, including this page. A function gives the marginal cost of producing ice cream over a ten year period. You will be graded on the clarity of your exposition.
Also discover a few basic rules applied to calculus like cramers rule, and the constant multiple rule, and a few others. Part ii contains 5 showyourwork problems with each problem worth 30. Ma 114 calculus ii spring 20 final exam 1 may 20 name. Consider the region rin the xyplane bounded by the curve y p x, the xaxis, and the vertical line x 4.
Calculus ii, final exam 9 problem 5 this problem has two separate questions. Math 1 calculus ii final exam form a fall 2012 key. Study guide for calculus ii final exam december 20 the nal exam is scheduled for wednesday, december 11 9am12noon. The exam has a total value of 330 points that includes 300 points for the regular exam problems and 30 points for the extra credit problem problem number 23.
The sierpinski triangle is constructed in the following way. The calculus i portion of many of the problems tends to be skipped and left to the student to verify or fill in the details. Calculus ii math 142 fall 20 professor ben richert exam 1 solutions problem 1. Calculators and cell phones are not to be in sight. Department of mathematics university of washington. The first reason is that this course does require that you have a very good working knowledge of calculus i. Math 251 pcc cascade spring 2011 21778 final exam june 6 th, 2011 name. Please arrive on time with nothing in hand but some writing instruments cell phones should be left at \home. You must show your work on this part of the exam to get full credit.
All necessary instructions are below and also on the exam. For the curve y ex, 1 y 8 the values of xsatisfy 0 x ln8. Problem 3 find the volume of the solid generated by. There is online information on the following courses. Calculus ii, final exam 5 part ii each problem is worth 12 points. Mathematics 122090 calculus ii practice examinations and past examinations.
Find materials for this course in the pages linked along the left. Let st be the function which speci es the distance in km from a runner to the start line at time tin hours of a race. Math 142 calculus ii sections 1112 final exam april 30, 2005 name. Additional blank sheets are available if necessary. Use your calculator to make graphs or check your answers, but not as a source of answers on its own. Problem 2 evaluate the following integrals r x5 cosx3dx solution. Math 221 1st semester calculus lecture notes version 2. Be sure to prepare to complete the honor code statement on the exam, while. Linear algebra and differential equations, math 30.
Ma 114 calculus ii multiple choice answers last 4 digits of. Please show all of your work to the level of detail that is specified in the instructions for that particular problem. When you axe done, write omitted number on the front of the exam book. No exam solutions, but lots of sample problems with solutions. Check out all of these pdf notes, cram packets, cheat sheets, and study guides. There are numerous ap calculus bc notes available online. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more.
In each of the following, ll in the corresponding box by. Administrative office c8 padelford box 354350 seattle, wa 981954350 phone. Dec 11, 2006 math 251 pcc cascade spring 2011 21778 final exam june 6 th, 2011 name. The notes were written by sigurd angenent, starting from an extensive collection of notes and problems compiled by joel robbin. You can use these to supplement your class notes as well as for test prep. You may use a calculator to assist you with any arithmetic, a writing utensil, and your 3x5 reference card that you have prepared. Calculus i practice final exam b arizona state university. For the exams, the exam rooms will be listed below. Note that the rooms for the final exam are different from the midterm rooms. Pdf math141 calculus ii final exam suriani mangallo. Study guide for calculus ii final exam middlebury college. Final exam calculus 2 math 2300 fall 2018 name practice exam solutions please answer all of the questions, and show your work.
612 501 708 1204 31 855 1358 955 636 456 193 1166 204 844 882 856 1322 254 449 1482 576 660 93 124 260 1530 1441 254 276 1533 511 1358 1047 1326 1249 613 701 1277 990 1304 335 573 60