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Practice Exam (AY0708 Sem1 Official) - Matriculation Number...

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Matriculation Number: MA1505 PRACTICE EXAMINATION INSTRUCTIONS TO CANDIDATES 1. Write down your matriculation number neatly in the space provided above. This booklet (and only this booklet) will be collected at the end of the examination. Do not insert any loose pages in the booklet. 2. This examination paper consists of EIGHT (8) questions and comprises THIRTY THREE (33) printed pages. 3. Answer ALL questions. For each question, write your answer in the box and your working in the space provided inside the booklet following that question. 4. The marks for each question are indicated at the beginning of the question. 5. Candidates may use calculators. However, they should lay out systematically the various steps in the calculations. 6. VERY IMPORTANT: This practice examination is just a sample for the students’ reference only. Stu- dents should NOT expect to find all the questions in the actual examination to be of exactly the same type as the questions in the practice examination. The level of difficulty of the actual examination may also be different from the level of difficulty of the practice examination.
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MA1505 Practice Examination Question 1 (a) [5 marks] Given that y 2 = x 3 - 6 x + 4, find the value of d 2 y dx 2 at the point ( - 1 , 3). Answer 1(a) (Show your working below and on the next page.) 2
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MA1505 Practice Examination (More working space for Question 1(a)) 3
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MA1505 Practice Examination Question 1 (b) [5 marks] A 30 inch baseball bat can be represented by an object extending from x = 0 to x = 30 on the x -axis. The density function of this baseball bat is given by δ ( x ) = ( 1 46 + x 600 ) 2 . Find the x
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