Midterm 1 Practice PDF

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THE UNIVERSITY OF CALGARY DEPARTMENT OF MATHEMATICS AND STATISTICS MATH 265 L01-02

TERM TEST 1 - VERSION 11

THURSDAY FEBRUARY 09 NAMES:

WINTER 2017

TIME: 90 MINUTES

LAST & FIRST

ID#

LAB#

LEC#

EXAMINATION RULES 01. This is a closed book examination. 02. Calculators are not permitted. 03. The use of personal electronic or communication devices is prohibited. 01. The exam has sixteen (17) questions 03. Please make sure to show your work in a neat and organized manner for the written questions 16, and 17. 05. A University of Calgary Student ID card is required to write the Test. If adequate ID is not present, the Student may be asked to complete an Identification Form. 06. Students late in arriving will not be permitted to write the exam thirty ( 30) minutes after the examination has started.

Problem 1 - 15

07. No student will be permitted to leave the examination room during the first thirty ( 30) minutes, nor during the last ten ( 10) minutes of the examination. Students must stop writing and hand in their exam immediately when time expires.

16

08. All inquiries and requests must be addressed to the exam’s Supervisor.

17

09. Students are strictly cautioned against: (a) communicating with other students (b) leaving answer papers exposed to view (c) attempting to read other students’ examination papers. 10. If a student becomes ill during the course of the examination, he/she must report to the Invigilator, hand in the unfinished paper and request that it be cancelled. The student must report immediately to a Physician for a medical note to support a makeup examination request. 11. Once the examination paper has been handed in for marking, the Student cannot request that the examination be canceled. 12. Failure to comply with these regulations may result in the rejection of the examination paper.

1

Mark

MATH 265

L01-L02

TERM TEST 1 - VERSION 11

WINTER 2017

Part I: Multiple choice questions are worth 4 marks each. For each question, clearly circle your choice on this booklet, and record your answer on the scantron sheet provided. Make sure that you answer all the questions. 01.

Let f (x) and g(x) be two functions with values x f (x) g(x)

−7 −1 2 5 7 1 −2 −3 6 −2 1 8

  If h(x) = f 2 g(x) − 3 f (x) , then h(−1) is equal to A. B. C. D. E.

02.

−3 −2 1 7 8

ln(x − 3) The domain of the function f (x) = √ 9−x   A. 3 , +∞ B.

  3, 9

C.

  3, 9

D.



E.

None of the above.

− ∞, 9



is

2

MATH 265

03.

The value of the limit A.

04.

L01-L02

−

TERM TEST 1 - VERSION 11 √ √ 3x + 4 − x lim √ √ x→4 3x + 4 + x

1 3

B.

1 3

C.

3

D.

−3

E.

1

The value of the limit lim x→3

A.

2

B.

−2

C.

1

D.

0

E.

−1

x2 − 2 x − 3 is x2 − 4 x + 3

is

WINTER 2017

3

MATH 265

05.

L01-L02

TERM TEST 1 - VERSION 11

WINTER 2017

Let b and L be real numbers. Suppose the limit lim x→1

equal to L. Then

06.

A.

b = −4 , L = 1

B.

b=1, L=2

C.

b=1, L=1

D.

b = 1 , L = −4

E.

none of the above

The limit A.

−

1 4

B.

−

3 4

C.

−

3 2

D.

−

1 2

E.

1

√ 2−x−x lim x→1 x2 − 1

is equal to

3 x2 + b x + 1 exists and is x2 − 1

4

MATH 265

07.

L01-L02

The limit lim x→0

08.

A.

0

B.

1

C.

2

D.

3

E.

4

TERM TEST 1 - VERSION 11

WINTER 2017

x + sin(3 x) , is equal to x

 x    x−1     2x + 1 The vertical asymptotes of the function f (x) =      2   x2 − 9 A. x = −3, x = 1, and x = 3 B.

x = 1 and x = 3

C.

x = −3 and x = 3

D.

x = 0 and x = 3

E.

x = 3 only

if x ≤ 0 if 0 < x ≤ 3 are if 3 < x

5

MATH 265

09.

L01-L02

The value of the limit

TERM TEST 1 - VERSION 11

lim+

x→1

10.

A.

0

B.

1

C.

−1

D.

−∞

E.

+∞

3 − 2 x − x2 is 1 − 2 x + x2

 2b  2    a x − x − 2 if 5 if Let f (x) =   b   3ax + if x If f (x) is continuous at x = 1, A.

a = 1, b = 2

B.

a = 2, b = 1

C.

a = 2, b = 4

D.

a = −1, b = −2

E.

a = −2, b = −4

WINTER 2017

x...