TW20 UNIVERSITY OF BOLTON ENGINEERING, SPORTS and SCIENCE ACADEMIC GROUP B.ENG (HONS) ELECTRICAL AND ELECTRONIC ENGINEERING ER EXAMINATION SEMESTER 2 - 2014/2015 INTRODUCTORY ENGINEERING MATHEMATICS MODULE NO: EEE4001 ATLECAO Date: Friday 29 May 2015 Time: 2.00 - 4.00 INSTRUCTIONS TO CANDIDATES: There are SIX questions. PAST EX DODATE Answer ANY FOUR questions. All questions carry equal marks. Marks for parts of questions are shown in brackets. Electronic calculators may be used provided that data and program storage memory is cleared prior to the examination. CANDIDATES REQUIRE: Formula Sheet (attached). ---
Page 2 of 8 ENGINEERING, SPORTS AND SCIENCE B.ENG (HONS) ELECTRICAL AND ELECTRONIC ENGINEERING EXAMINATION SEMESTER 2 - 2014/2015 INTRODUCTORY ENGINEERING MATHEMATIC MODULE NO. EEE4001 Q1 (a) Simplify the following expressions: In3+2lnx (i) e (ii) log10 (100* )-10g10(0.1) [2 marks] [3 marks] (b) A ball is dropped from a height of 80 metres. It rebounds 3/8 of it's height, and continues this pattern until it stops. How far does the ball travel? [5 marks] (c) Obtain the Taylor series expansion of 1 about x= - 3. (That is, find a power 1-X series in powers of (x+3).) [15 marks] PAST EXAMINATI ?er* , provadoresnel Total 25 marks Please turn the page
Page 3 of 8 ENGINEERING, SPORTS AND SCIENCE B.ENG (HONS) ELECTRICAL AND ELECTRONIC ENGINEERING EXAMINATION SEMESTER 2 - 2014/2015 INTRODUCTORY ENGINEERING MATHEMATIC MODULE NO. EEE4001 Q2 Five complex numbers are given by: Z1=2i, z2 =- i , 73 =1+i , z4 = 3-2i , 25 = 2e 3 where i2 = - 1. (a) Calculate 224 -5 z3 · ALOT ON PAPER [4 marks] (b) Express the product Z223 in Polar form: ZZ3 = re [4 marks] (c) Express 25 in Cartesian form: 25 =x+iy [3 marks] (d) Find the real and imaginary parts of the ratio ZA z 1 [4 marks] 4 [10 marks] Total 25 marks Please turn the page