F
OR
E
DEXCEL
GCE Examinations
Advanced Subsidiary
Core Mathematics C4
Paper J
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
J
page
2
1.
The region bounded by the curve
y
=
x
2
−
2
x
and the
x
axis is rotated through
2
π
radians about the
x
axis.
Find the volume of the solid formed, giving your answer in terms of
π
.
(6)
2.
Use the substitution
u
= 1
−
1
2
x
to find
∫
1
2
1
1
x
−
d
x
.
(6)
3.
A curve has the equation
2
sin 2
x
−
tan
y
= 0.
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 Spring '10
 n/a
 Calculus, Algebra, Parametric equation, Solomon Press

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