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F
OR
E
DEXCEL
GCE Examinations
Advanced Subsidiary
Core Mathematics C4
Paper F
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 seven 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
F
page
2
1.
A curve has the equation
2
x
2
+
xy
−
y
2
+ 18 = 0.
Find the coordinates of the points where the tangent to the curve is parallel
to the
x

a
x
i
s
.
(8)
2.
Use the substitution
x
= 2
tan
u
to show that
2
0
∫
2
2
4
x
x
+
d
x
=
1
2
(4
−
π
)
.
(8)
3.
(a)
Show that
1
2
1
24
(1
)
−
=
6
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 Spring '10
 n/a
 Calculus, Algebra

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