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1969 IMO Shortlist
51
51
Part of
1969 IMO Shortlist
Problems
(1)
Find number of squares cut by a curve.
Source:
10/4/2010
(
N
E
T
6
)
(NET 6)
(
NET
6
)
A curve determined by
y
=
x
2
−
10
x
+
52
,
0
≤
x
≤
100
,
y =\sqrt{x^2 - 10x+ 52}, 0\le x \le 100,
y
=
x
2
−
10
x
+
52
,
0
≤
x
≤
100
,
is constructed in a rectangular grid. Determine the number of squares cut by the curve.
geometry
calculus
counting
function
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