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Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
/
2014
/
Paper 2
/
18
/
b
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Year 1 of the natural sciences course of the University of Cambridge
Mathematics course of the year 1 of the natural sciences course of the University of Cambridge
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
2014
Paper 2
18
2026-10-18
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Solution
b
Solution
0
0
0
b
The
graph
is even and periodic with period
π
, bounded between
1
and
e
. It rises from each minimum at
kπ
to
a
maximum halfway to the next minimum, then falls back. It has horizontal
tangents
at all these extrema and repeats smoothly.
Figure 1.
The periodic
graph
of exp(
sin
squared
x)
, with all types of
stationary point
marked
.
Details
.
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(12)
18
Paper 2
2014
Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge
Mathematics course of the year 1 of the natural sciences course of the University of Cambridge
Year 1 of the natural sciences course of the University of Cambridge
Year of the natural sciences course of the University of Cambridge
Natural sciences course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
List of universities
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