Fall2017 CDS - Practice exam for fall final PDF

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Practice exam for fall final...

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1 of 16 STUDENT NUMBER:

HAND IN Answers recorded on exam paper. DEPARTMENT OF MATHEMATICS AND STATISTICS QUEEN’S UNIVERSITY AT KINGSTON MATH 121 - DEC 2017 Section 700 - CDS Students ONLY Instructor: A. Ableson

INSTRUCTIONS: • This examination is 3 HOURS in length. • Only CASIO FX-991 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.

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

VII VIII

20

15

10

7

10

10

10

10

IX

Total

8

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 16 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) The sale price of a used car can be approximated by the function S(t) = 25(0.85)t where t is in years from the date of manufacture, and S is the sale price in thousands of dollars. What does the value S ′ (8) ≈ −1.1 mean? (A) The sale price is decreasing by $1100 per year when the car is 8 years old. (B) The sale price decreased by $1100 over the 8 years after its manufacture. (C) The sale price decreased by $1100 from its original price when the car is 8 years old. (D) The sale price is decreasing by $1100 ANSWER: (2) The function g(x) is an odd function. If Z 3 g(x) dx? value of −2

Z

3

g(x) dx = 4, then which of the following is true about the 0

−3

  Z 3 g(x) dx < −6 (A) −2 −3   Z 3 g(x) dx < 0 (B) −6 ≤ −2 −3

 Z (C) 0 ≤ −2 (D) 6 ≤

 −2

3

−3 Z 3

−3

g(x) dx



g(x) dx

...