W1-2-60-1-6
JOMO KENYATTA UNIVERSITY OF AGRICULTURE AND TECHNOLOGY
University Examinations 2013/2014
EXAMINATION FOR THE DEGREE OF BACHELOR OF MASS COMMUNICATION/
BACHELOR OF DEVELOPMENT STUDIES
SMA 2106: MATHEMATICS FOR SOCIAL SCIENCES
DATE: APRIL, 2014 TIME: 2 HOURS
INSTRUCTIONS: Answer Question ONE (Compulsory) and Any Other TWO questions.
Question One – Compulsory (30 Marks)
a) Out of 68 pupils in a school, 30 take English, 50 take Mathematics and 24 take Physics. If
10 take Mathematics and Physics, 14 take English and Physics and 22 take English and
Mathematics.
i. How many take all the three subjects?
ii. If a student is selected at random what is the probability that the student takes
only one subject?
b) Differentiate the following:
i. [4 marks]
ii. [3 marks]
c) Using the substitution , evaluate the following integral.
[5 marks]
d) i. By completing the square solve the following quadratic equation.
2x2+15x+4=0 [4 marks]
ii. If , what are thee possible values of x? [4 marks]
Question Two (20 Marks)
1
JOMO KENYATTA UNIVERSITY OF AGRICULTURE AND TECHNOLOGY
University Examinations 2013/2014
EXAMINATION FOR THE DEGREE OF BACHELOR OF MASS COMMUNICATION/
BACHELOR OF DEVELOPMENT STUDIES
SMA 2106: MATHEMATICS FOR SOCIAL SCIENCES
DATE: APRIL, 2014 TIME: 2 HOURS
INSTRUCTIONS: Answer Question ONE (Compulsory) and Any Other TWO questions.
Question One – Compulsory (30 Marks)
a) Out of 68 pupils in a school, 30 take English, 50 take Mathematics and 24 take Physics. If
10 take Mathematics and Physics, 14 take English and Physics and 22 take English and
Mathematics.
i. How many take all the three subjects?
ii. If a student is selected at random what is the probability that the student takes
only one subject?
b) Differentiate the following:
i. [4 marks]
ii. [3 marks]
c) Using the substitution , evaluate the following integral.
[5 marks]
d) i. By completing the square solve the following quadratic equation.
2x2+15x+4=0 [4 marks]
ii. If , what are thee possible values of x? [4 marks]
Question Two (20 Marks)
1
