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Final Examination

Spring 2021

Course Name

Date

APPLIED MATHEMATICS Course Code

20-06-2021, Sunday

Time

FPMA0901

12:00 β 2:30 PM

General Instructions:

This exam lasts 2:30 hours including the upload time of your answers and

worth 40% of your final mark for your course FPMA0901.

During the examination time, from the beginning of the exam to till you

complete your exam join into the Google meet/Microsoft Team

meet/Zoom meet by enabling your video and mute your mike. You will

receive the meet link either from your teacher or from the examination

committee.

Before the commencement of the exams you have to keep all your

required necessary stationary things along with you.

Set out your work properly. Be clear, neat and concise.

Write the answers clearly using pen in A4 size papers only, and then take

a scan or photo image to attach the copies through Blackboard.

Before writing the answers, donβt forget to write YOUR NAME and ID

NUMBER in each of your answer papers.

If your submission is late, you may lose your scores. On time submission

will be appreciated.

/——-

1|Page

Answer ALL the questions [5 marks each, 8 x 5 = 40 marks]:

Q1. Let π: π
β π
be the quadratic function defined by π(π₯) = π₯ 2 β 4π₯ β 5. Find

(i)

the vertex

[0.5] (ii) the range

[1]

(iii) the axis of symmetry

(v)

[0.5] (iv) the x-intercepts

the graph of the function f

[1]

[2]

Q2. Let π πππ π be the functions defined by π(π₯) = β9 β π₯ 2 , π(π₯) = β1 β π₯.

Then find

(i)

(π + π)(β3)

[1]

(ii) (π β π)(0)

[1]

(iii) (πππ)(β3)

[2]

(iv)

1

πβ1 ( )

2

Q3. (a) Draw the graph of π¦ > 3π₯β1

(b) Solve πππ3 π₯ = 1 + πππ3 (π₯ β 2)

[1]

[3]

[2]

Q4. A person invests an amount of 2000 OMR in a Bank with the rate of 7% compounded

yearly.

(i)

Find the amount after 5 years.

[2]

(ii) After how long will it take for the initial investment to double? [3]

Q5. For the given triangle, find the value of π΅πΆ

[1]

(b) sin π =_____________________

[1]

(c) cos π½ =_____________________

[1]

(d) π½ = __________ and π = ___________

[2]

2|Page

Q6. Choose the correct name for the given angles.

Right, straight, supplementary, acute, obtuse and reflex.

i) 900 =_________________________________ angle

[1]

ii) 320 =_________________________angle

[1]

iii) 1270 =_________________________________ angle

[1]

iv) 2500 =_________________________angle

[1]

v) 1800 = _______________________________ angle

[1]

Q7. The age group of people working in private companies and the number of people is

given below:

Age

20 β 28

Group

Number

18

of people

Using the given data:

i.

ii.

iii.

iv.

28 β 36

36 β 44

44 β 52

52 β 60

60 β 68

24

15

14

11

8

Draw a histogram.

Find the number of people above the age of 52 who are working.

Which age group works in private companies the most?

Find the mean of the given data.

[1.5]

[0.5]

[0.5]

[2.5]

Q8. A survey was conducted on a group of 500 people to understand their mobile operators

in they use in Oman, and the data is tabulated as given below:

NonTotal

Omani

Omantel 100

55

155

Ooredo

70

50

120

Friendi

55

75

130

Renna

30

65

95

Total

255

245

500

If a person is selected at random, find the probability that:

Omani

i.

ii.

iii.

iv.

v.

the person is an Omani

the person is a Non-Omani AND uses Renna

the person uses Oreedo OR is an Omani

the person is a Non-Omani Given that using Friendi

the person doesnβt use Omantel

[0.5]

[0.5]

[2]

[1]

[1]

End of Exam

3|Page

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Tags:

histogram

Initial investment

Quadratic Function

mobile operators

compounded yearly

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