Loyola College B.A. Economics Nov 2006 Mathematics For Economists Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034      B.A. DEGREE EXAMINATION – ECONOMICS

 AN 11

FIFTH SEMESTER – NOV 2006

EC 5404 – MATHEMATICS FOR ECONOMISTS

Date & Time : 03-11-2006/9.00-12.00         Dept. No.                                                       Max. : 100 Marks

Part  – A

Answer any FIVE questions in about 75 words each.                  (5 x 4 = 20 marks)

1. What is the use of differential calculus in economics?
2. Specify any two application of integral calculus in economics.
3. Find the rate of change of Y w.r.t. a small change in X, when Y = (5/2 X – 7) 1/3
4. Define partial derivative.
5. Define limit of a function.
6. What do you mean by continuity of a function?
7. Find

Part – B

Answer any FOUR questions in about 300 words each.            (4 x 10 = 40 marks)

1. Discuss the theorems on limit.
2. Prove that the function y = x2 is continuous at the point x = 2.
3. If , prove that
4. If , find
5. Find out the derivative of the following implicit function

1. If D = 2P stands for the demand function find the point elasticity ‘’ when P = 5.
2. A student has Rs. 100 per month to spend on two goods, the money can be spent either on clothing which costs Rs. 50 per item or on cinema, which costs Rs.10 per visit. If is the number of items on clothing bought and  is the number of visits to cinema, then the student’s utility function is defined as . Show that the student will spend equal amounts of his income on each item under equilibrium.

Part – C

Answer any TWO questions in about 900 words each.              (2 x 20 = 40 marks)