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F
OR
E
DEXCEL
GCE Examinations
Advanced Subsidiary
Core Mathematics C4
Paper L
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
L
page
2
1.
The number of people,
n
, in a queue at a Post Office
t
minutes after it opens is
modelled by the differential equation
d
d
n
t
= e
0.5
t
−
5,
t
≥
0.
(a)
Find, to the nearest second, the time when the model predicts that there will be
the least number of people in the queue.
(3)
(b)
Given that there are 20 people in the queue when the Post Office opens, solve
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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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