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Math 102: Foundations Of Mathematics 1St Trimester 2015 Question Paper
Math 102: Foundations Of Mathematics 1St Trimester 2015
Course:Bachelor Of Business Information Technology
Institution: Kenya Methodist University question papers
Exam Year:2015
Foundation of Mathematics (MATH 102) 1st trimester 2015
KENYA METHODIST UNIVERSITY
END OF 1'st 'TRIMESTER 2015 (PT) EXAMINATION
FACULTY : COMPUTING & INFORMATICS
DEPARTMENT : COMPUTER SCIENCE
UNIT CODE : MATH 102
UNIT TITLE : FOUNDATION OF MATHEMATICS
TIME : 2 HOURS
INSTRUCTIONS:
Answer question One and any Other Two Questions.
Question One (Compulsory)
Define a set and give two reasons why studying sets is important. (6 marks)
What are the 3 ways that a set can be written? Give an example of each.
(6 marks)
Express each of the following set in set-builder notation.
(6 marks)
B={5,6,7,8,9,10,11,12}
C={3,6,9,12,…….}
E= is the set of odd natural numbers.
ABC Co. has recorded recent sales for 3 types of computer software: games, educational software and utility programs. The following information regarding software purchases was obtained from a survey of 893 customers.
545 Purchased games
497 Purchased Educational Software
290 Purchased Utility programs
297 Purchased games and educational software
196 Purchased educational software and utility programs
205 Purchased games and utility programs
157 Purchased all three types of software
Use the Venn diagram transfer the following questions. How many customers purchased
None of these types of software
Only games
At least one of these types of software
Exactly two of these types of software
(12 marks)
Question Two
State the definition of sequence and give an example.
(3 marks)
Determine the twelfth term of the arithmetic sequence whose first terms is -5 and whose common difference is 3.
(3 marks)
Determine the twelfth term of the geometric sequence whose first term is -4 and whose common ratio is 2.
(4 marks)
Ali is given a starting salary of USD 35,000 and promised a USD 1400 raise per year after each of the next 8 years.
Determine his salary during his eighth year of work.
(5 marks)
Determine the total salary he received over the 8 years
(5 marks)
Question Three
Define the following terms
(8 marks)
Direct variation
Inverse variation
Joint variation
Combined variation
The recommended dosage, d, of the antibiotic drug vancomy and is directly proportional to a person’s weight, w.
Write this variation as an equation
Find the recommended dosage, in milligrams, for Ben Mdogo, who weighs 192lb. Assume the constant of proportionality for the dosage is 18.
A varies jointly as B and C and inversely as the square of D. if A=1 when B=9, C=4 and D=6 find A when B=8, C=12 and D=5
Question Four
Differentiate a function form a relation
(4 marks)
Consider the equation y=-2x2 + 12x -10
Determine whether the graph will be a parabola that opens upward or downward.
(1 mark)
Determine the equation of the axis of symmetry of the parabola.
(3 marks)
Sketch the graph of the equation
Y = x2 – 6x +8 (7 marks)
Why is it important to study logic?
(1 mark)
Write the negation of the following statement
(1 mark)
Where P: Maria will go to the circus
Q: Maria will go to the 200
Mama will go to the circus or Maria will go to the 200.
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