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Hbc2103:Mathematics For Business Question Paper
Hbc2103:Mathematics For Business
Course:Bachelor Of Commerce
Institution: Meru University Of Science And Technology question papers
Exam Year:2013
QUESTION ONE – (30 MARKS)
(a) Define a set. (1 Mark) (b) You are given universal set T defined as follows = 1,2,3,4,5,6,7,8 The subsets of T are = 3,4,5,6 = 1,3,4,7,8 Determine the intersection of A and B and represent it on a Venn diagram. (3 Marks) (c) Solve the following systems of Linear equations by matrix method. (10 Marks) + 2 + 3 = 3 2 + 4 + 5 = 4 3 + 5 + 6 = 8
(d) Integrate by parts = (4 Marks) i.e
(e) Differentiate the following using chain rule = 5 + 22 + 34. (5 Marks)
(f) Let ? ? ?
?
?
? ? ? ? ? ? ?? 231 101 021 A find 1 (7 Marks)
2
QUESTION TWO – (20 MARKS)
(a) In an arithmetic progression the fourth term is 13 and the seventh term is 22. Determine (i) The first term and the common difference. (3 Marks) (ii) The value of n is the nth term is 100. (2 Marks) (iii) The value of m if the sum of m terms of the series is 175. (4 Marks)
(b) A customer makes a single deposit of Ksh.16,000 in an account that pays compound interest at a rate of 6% per annum. (i) How much is the investment worth after 12 years. (3 Marks) (ii) After how many years will the investment be worth three times its initial value? (4 Marks)
(c) Let =
2 3 1 0 2 4 2 5 6 find (4 Marks)
QUESTION THREE – (20 MARKS)
(a) A theatre changes 4 dollars for children and 8 dollars for adults. One weekend 1000 people attended the theatre and the admission receipts totaled 6260 dollars. By telling x be the number of children and y the number of adults. Find the number of children and adults attending. (4 Marks)
(b) Solve the inequalities (i) 2 6 4 7 (3 Marks)
(ii) 4 < 23 3
< 4 (3 Marks)
(c) Evaluate the following limits
(i) ? ? ? ? ? ? ? ? ? ?? ?? 1 2 3lim 3 2 x xx x
(3 Marks)
(ii) ? ? ? ? ? ? ? ? ? ? ? 4 8 2 lim 2 3 x x x
(3 Marks)
(d) Solve ? ? dx xx? ? 8 2 72 by substitution method. (4 Marks)
3
QUESTION FOUR – (20 MARKS)
(a) Solve 2 + + = 0 by completing the square method. (4 Marks)
(b) Use the quadratic formula to solve 2 + 7 1 = 0. (3 Marks)
(c) Let = 1,2,3,4,5,6,7,8,9,10 where denotes the universal set and A = 1,2,3,5 and = 2,4,6,8
Find (i) (1 Mark)
(ii) ( ) (2 Marks)
(iii)( ) (3 Marks)
(d) Solve the following systems of linear equations by elimination method. (7 Marks) + + = 6 2 + 3 = 4 4 + 5 10 = 13
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