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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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View Full Document 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
MA1505
Practice Examination
(More working space for Question 1(a))
3
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View Full Document
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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This note was uploaded on 05/05/2009 for the course MA MA1505 taught by Professor Ma1505 during the Spring '09 term at National University of Juridical Sciences.
 Spring '09
 MA1505

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