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Unformatted text preview: UNIVERSITY OF SOUTHAMPTON MATH1008W1: SPECIMEN EXAM SEMESTER 1 EXAMINATION 2007/08 MATH1008 Introduction to Mathematical Methods: SPECIMEN EXAM! Duration: 2hrs 15mins Full marks may be obtained for complete answers to ALL questions from SECTION A and TWO questions from SECTION B. If you answer more than two questions in SECTION B, only your best two answers from this section will count. SECTION A is worth 40% of the total marks and SECTION B is worth 60% of the total marks. A set of Course Summary Notes (CSN/SCI/MATH1006/1008/08) will be provided. Graph paper will be provided. Printed foreign language dictionaries MAY be consulted. The University Approved Calculator MAY be used. Copyright 2008 c University of Southampton Number of Pages 7 2 MATH1008W1: SPECIMEN EXAM Section A Answer ALL EIGHT questions from this section. Each question carries 5 marks. 1. [5 marks] At time t a particle has position vector r = t 2 i + ( t 2- t ) j + 4 t k . Calculate the velocity v and acceleration a of the particle at time t . At what time are the velocity and acceleration perpendicular? 2. [5 marks] Consider the matrix A = 2 3 1-1 . Compute A- 1 and hence solve the simultaneous equations 2 x + 3 y = 4 , x- y =- 3 ....
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- Spring '08
- Math, c University of Southampton, Inverse function, Injective function, Hyperbolic function