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Last Poster
MATHirang MATHibay 2025 (Orals, 1.3.2)
BinariouslyRandom 0
36 minutes ago
Find the third smallest number
which satisfies all the following properties:

Give your answer in base 10.


Give your answer in base 10.
0 replies
1 viewing
Word problem of Absolute-Value Function
Sukardy 1
N
42 minutes ago
by Mathzeus1024
Please help me solve the following word problems. It is about absolute-value function. Any sketch of function's graph will be greatly appreciated.
Problem:
A combat plane is flying
m above the sea. The plane will aim an enemy submarine in the distance of
m. To be aimed on the target, a missile shot by the plane plunges into the sea with a depth of
m. Suppose the surface of the sea to be
-axis and the plane's motion is represented by a function
for
. Find the value of
.
Problem:
A combat plane is flying







1 reply
Functional Equations
burntpizza001 1
N
2 hours ago
by alexheinis
Let
is a function satisfying
and
,
.
(i) If
then minimum possible number of values of
satisfying
, for
is?
(ii) Graph of
$ is symmetrical about which line?




(i) If



![$x\in[0,170]$](http://latex.artofproblemsolving.com/3/d/2/3d2c6ead3059f96f853bba6cfc7440e394227ab9.png)
(ii) Graph of

1 reply
AP calc?
Thayaden 31
N
3 hours ago
by Mathzeus1024
How are we all feeling on AP calc guys?
31 replies
Can anyone help me with this inequality problem
a9opsow_ 3
N
Today at 1:38 AM
by sqing
Let a, b, c be nonnegative real numbers, not all equal. Prove that
\frac{(a - bc)^2 + (b - ca)^2 + (c - ab)^2}{(a - b)^2 + (b - c)^2 + (c - a)^2} \geq \frac{1}{2}.
\frac{(a - bc)^2 + (b - ca)^2 + (c - ab)^2}{(a - b)^2 + (b - c)^2 + (c - a)^2} \geq \frac{1}{2}.
3 replies
