Sample/practice exam 2017, questions PDF

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1 of 20 STUDENT NUMBER:

HAND IN Answers recorded on exam paper. DEPARTMENT OF MATHEMATICS AND STATISTICS QUEEN’S UNIVERSITY AT KINGSTON MATH 121/124 - APR 2017 Section 001, 002, and 003 Instructors: T. Day, A. Ableson, D. Rorabaugh INSTRUCTIONS: • This examination is 3 HOURS in length. • Only CASIO FX-991 or Blue Sticker calculators are permitted.

• Answer all questions, writing clearly in the space provided. If you need more room, continue your answer on one of the blank pages at the back, providing clear directions to the marker. • For full marks, you must show all your work and explain how you arrived at your answers, unless explicitly told to do otherwise. • Wherever appropriate, include units in your answers. • When drawing graphs, add labels and scales on all axes.

• Put your student number on all pages, including this front page. • For Sections IX and X, answer only one version, either version A (Section 001, West) or B (Sections 002, 003, Main).

PLEASE NOTE: Proctors are unable to respond to queries about the interpretation of exam questions. Do your best to answer exam questions as written.

I

II

III

IV

V

VI

20

8

10

10

8

10

VII VIII 8

8

IX 8

X 10

Total 100

This material is copyrighted and is for the sole use of students registered in MATH 121/124 and writing this examination. This material shall not be distributed or disseminated. Failure to abide by these conditions is a breach of copyright and may also constitute a breach of academic integrity under the University Senate’s Academic Integrity Policy Statement.

2 of 20 STUDENT NUMBER:

Section I. Multiple Choice (10 questions, 2 marks each) Each question has four possible answers, labeled (A), (B), (C), and (D). Choose the most appropriate answer. Write your answer in the space provided, using UPPERCASE letters. Illegible answers will be marked incorrect. You DO NOT need to justify your answer. (1) Which of the following differential equations is not separable? dy dx dy (B) dx dy (C) dx dy (D) dx (A)

= x(y + 1) = (x + 1)(y + 1) =x+1 = xy + 1 ANSWER:

(2) Consider the two vectors, ~v and w, ~ shown to the right. Which of the following statements is true? y

(A) ~v · w ~ >0 (B) ~v · w ~ =0

~v

(C) ~v · w ~...