HKUST MATH1014 Calculus II Sample Final Exam

HKUST MATH1014 Calculus II Name: Sample Final Exam Student ID: Lecture Section: Directions: • This is a closed book examination. No Calculator is allowed in this examination. • DO NOT open the exam until instructed to do so. • Turn off all phones and pagers, and remove headphones. All electronic devices should be kept in a bag away from your body. • Write your name, ID number, and Lecture Section in the space provided above, and also in the Multiple Choice Item Answer Sheet provided. • Mark your ID numbers correctly in the I.D. No. box in the Multiple Choice Item Answer Sheet. • DO NOT use any of your own scratch paper. Use only the scratch papers provided by the examination. Write also your name on every scratch paper you use, and do not take any scratch paper away from the examination venue. • When instructed to open the exam, please check that you have addition to the cover page. 10 pages of questions in • Answer all questions. Show an appropriate amount of work for each long problem. If you do not show enough work, you will get only partial credit. • You may write on the backside of the pages, but if you use the backside, clearly indicate that you have done so. • Cheating is a serious violation of the HKUST Academic Code. Students caught cheating will receive a zero score for the examination, and will also be subjected to further penalties imposed by the University. Please read the following statement and sign your signature. I have neither given nor received any unautho- rized aid during this examination. The answers submitted are my own work.Question No.I understand that sanctions will be imposed, if I am found to have violated the University’s regu- lations governing academic integrity.Q. 1-1648 Q. 1712 Q. 1814 Q. 1912 Q. 2014 Total Points100 Student’s Signature : Points Out of1 Part I: Answer all of the following multiple choice questions. • Mark you answers to the multiple choice questions in the Multiple Choice Item Answer Sheet. • 3 points will be deducted for each attempt to enter more than one answer to any MC question. • For backup purpose, put your MC answers in the following boxes. Grading will be based on the answers marked in the MC answer sheet. Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Answer Each of the following MC questions is worth 3 points. No partial credit. 1. What is the colour version of your exam paper? (Read the top left corner of the cover page!) Make sure that you have also written and marked your ID number correctly in the I.D. No. Box in the MC answer sheet. If you do not do both correctly, you lose the points of this question. (a) Green 2. Evaluate the integral (b) Orange Z 1 (c) White (d) Yellow (e) Sample 4 cos(2πx) sin2 (πx)dx. 0 (a) −2 (b) −1 3. Evaluate the improper integral (c) 1 Z 2 0 (a) 2 (b) 4 √ (d) 2 (e) 4 4x dx. 4 − x2 (c) 6 (d) 8 (e) 10