F
OR
E
DEXCEL
GCE Examinations
Advanced Subsidiary
Core Mathematics C4
Paper K
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
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Solomon Press
C4
K
page
2
1.
y
y
=
31
x
x
+
O
1
3
x
Figure 1
Figure 1 shows the curve with equation
y
=
x
x
+
,
x
> 0.
The shaded region is bounded by the curve, the
x
axis and the lines
x
= 1
and
x
= 3.
Find the volume of the solid formed when the shaded region is rotated through
2
π
radians about the
x
axis, giving your answer in the form
π
(
a
+ ln
b
),
where
a
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 Spring '10
 n/a
 Calculus, Algebra, Parametric equation, Solomon Press

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