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APPLIED MATHEMATICS Course Code
12:00 – 2:30 PM
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
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, don’t 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.
Answer ALL the questions [5 marks each, 8 x 5 = 40 marks]:
Q1. Let 𝑓: 𝑅 → 𝑅 be the quadratic function defined by 𝑓(𝑥) = 𝑥 2 − 4𝑥 − 5. Find
[0.5] (ii) the range
(iii) the axis of symmetry
[0.5] (iv) the x-intercepts
the graph of the function f
Q2. Let 𝑓 𝑎𝑛𝑑 𝑔 be the functions defined by 𝑓(𝑥) = √9 − 𝑥 2 , 𝑔(𝑥) = √1 − 𝑥.
(𝑓 + 𝑔)(−3)
(ii) (𝑓 ∙ 𝑔)(0)
𝑔−1 ( )
Q3. (a) Draw the graph of 𝑦 > 3𝑥−1
(b) Solve 𝑙𝑜𝑔3 𝑥 = 1 + 𝑙𝑜𝑔3 (𝑥 − 2)
Q4. A person invests an amount of 2000 OMR in a Bank with the rate of 7% compounded
Find the amount after 5 years.
(ii) After how long will it take for the initial investment to double? 
Q5. For the given triangle, find the value of 𝐵𝐶
(b) sin 𝜃 =_____________________
(c) cos 𝛽 =_____________________
(d) 𝛽 = __________ and 𝜃 = ___________
Q6. Choose the correct name for the given angles.
Right, straight, supplementary, acute, obtuse and reflex.
i) 900 =_________________________________ angle
ii) 320 =_________________________angle
iii) 1270 =_________________________________ angle
iv) 2500 =_________________________angle
v) 1800 = _______________________________ angle
Q7. The age group of people working in private companies and the number of people is
20 – 28
Using the given data:
28 – 36
36 – 44
44 – 52
52 – 60
60 – 68
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.
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:
If a person is selected at random, find the probability that:
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 doesn’t use Omantel
End of Exam
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