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F
OR
E
DEXCEL
GCE Examinations
Advanced Subsidiary
Core Mathematics C4
Paper G
Time:
1 hour 30 minutes
Instructions and Information
Candidates may use any calculator EXCEPT those with the facility for symbolic
algebra, differentiation and
/
or integration.
Full marks may be obtained for answers to ALL questions.
Mathematical formulae and statistical tables are available.
This paper has eight questions.
Advice to Candidates
You must show sufficient working to make your methods clear to an examiner.
Answers without working may gain no credit.
Written by Shaun Armstrong
Solomon Press
These sheets may be copied for use solely by the purchaser’s institute.
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Solomon Press
C4
G
page
2
1.
A curve has the equation
x
2
+ 2
xy
2
+
y
= 4.
Find an expression for
d
d
y
x
in terms of
x
and
y
.
(6)
2.
Use integration by parts to find
∫
x
2
e
−
x
d
x
.
(7)
3.
The first four terms in the series expansion of (1 +
ax
)
n
in ascending powers of
x
are
1
−
4
x
+ 24
x
2
+
kx
3
,
where
a
,
n
and
k
are constants and

ax

< 1.
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This note was uploaded on 06/04/2010 for the course MATH c3 taught by Professor N/a during the Spring '10 term at Cambridge College.
 Spring '10
 n/a
 Calculus, Algebra

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