MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Stanford Mathematics Tournament
2022 Stanford Mathematics Tournament
2
SMT 2022 Calculus #2
SMT 2022 Calculus #2
Source:
March 29, 2023
Problem Statement
The straight line
y
=
a
x
+
16
y=ax+16
y
=
a
x
+
16
intersects the graph of
y
=
x
3
y=x^3
y
=
x
3
at
2
2
2
distinct points. What is the value of
a
a
a
?
Back to Problems
View on AoPS