# Econ1540W15FinalSoln - Student Number YORK UNIVERSITY...

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Student Number: 1 YORK UNIVERSITY FACULTY OF LIBERAL ARTS AND PROFESSIONAL STUDIES – DEPARTMENT OF ECONOMICS AP/ECON 1540.03 SECTION Q Introductory Mathematics for Economists II FINAL EXAMINATION SOLUTIONS INSTRUCTOR: Gordana Colby Tuesday, April 21 st , 2015 3 HOURS (7:00PM – 10:00PM) LOCATION: TC Rexall NAME: _________________________________ _________________________________ LAST NAME FIRST NAME STUDENT NUMBER: _______________________________________ SIGNATURE: _______________________________________ INSTRUCTIONS: 1. Make sure to print your NAME, STUDENT NUMBER and SIGN the sheet above. Write your student number at the top right of each page. 2. You have 3 HOURS to complete the exam. 3. Read the examination questions VERY CAREFULLY . 4. Answer ALL questions in the space provided on the exam – if you need more space, please use the back of the sheet for that question. SHOW ALL YOUR WORK. No marks will be given for unsubstantiated answers. 5. The examination consists of twenty-six (26) pages. Please ensure you have a complete examination. 6. The examination is out of 100 marks.
Student Number: 2 Formulas 1. For a function c y x F = ) , ( , ) ) ( 2 ) ( ( ) ( 1 ' ' 2 ' 1 ' ' 22 ' 2 ' 1 ' ' 12 2 ' 2 ' ' 11 3 ' 2 F F F F F F F F y + - - = 2. 2 2 ) ( ) ( 2 ) ( ) , , ( x yy yy y x xy xy y xx xx g g f g g g f g g f y x D l l l l - + - - - º Question #1 (6 Marks) (a) (3 Marks) If y x y x F ln ln ) , ( + = , find y F / . (b) (3 Marks) If 2 3 3 3 ) 3 1 3 1 ( 30 ) , ( - - + = L K L K F , find K F ¢ . F y = 1 y F K = 45 K 4 1 3 K 3 + 1 3 L 3 1 / 2
Student Number: 3