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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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View Full Document1201/1602SCE 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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