1201SCE_midsemester_exam_2005

1201SCE_midsemester_exam_2005 - Griffith University, School...

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1201/1602SCE midsemester exam 2005 1 Griffith University, School of Science 1201SCE Mathematics 1A and 1602SCE Mathematics Midsemester examination, April 2005 Time allowed Reading time 10 minutes Working time 2 hours 30 minutes. READ THE FOLLOWING INSTRUCTIONS CAREFULLY This examination contributes 28% of your total grade for this subject. You must give complete answer all six questions to get full marks. The questions are worth equal marks. Allow about 25 minutes for a question. In some questions the last section is more difficult. Ordinary scientific calculators are allowed but graphical calculators are NOT allowed . Written translation dictionaries are permitted after inspection. You must return this exam paper with your answer booklet You can answer the questions in any order but you must start answers to different questions on a new page. If you show some working part marks may be given for correct methods even if you make a mistake. An incorrect answer with no working gets no marks. You can assume that the following formulas x xxx aaa bbb +−+ = ij k ab GG G cos( ) cos( )cos( ) sin( )sin( ) sin( ) sin( )cos( ) cos( )sin( ) A BA B A B A B += + 0 sin( ) lim 1 x x x =
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1201/1602SCE midsemester exam 2005 2 Question 1 [15 marks, part marks are 2, 2, 3, 4, 4] Use the attached graph for part (b) (a) Use Pascal’s triangle to write down the expansion of 4 () xy + . Use this result to write down the expansion of 4 (2 ) + (b) Draw reasonable graphs of the functions for positive values of x A: 1/2 yx = , B: log ( ) e = and C: 1 y x = on the attached page Clearly label your graphs as A, B and C.
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1201SCE_midsemester_exam_2005 - Griffith University, School...

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