MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
CMIMC Problems
2021 CMIMC
2.8 1.4
2021 Alg/NT Div 1 P4 (Div 2 P8)
2021 Alg/NT Div 1 P4 (Div 2 P8)
Source:
March 2, 2021
algebra
Problem Statement
Let
f
(
x
)
=
x
2
8
f(x) = \frac{x^2}8
f
(
x
)
=
8
x
2
. Starting at the point
(
7
,
3
)
(7,3)
(
7
,
3
)
, what is the length of the shortest path that touches the graph of
f
f
f
, and then the
x
x
x
-axis?Proposed by Sam Delatore
Back to Problems
View on AoPS