12:48 AM
suppose we have the cubic polynomial function $y=f(x)=-0.06 x^3+0.9x^2+3x$ with $x\in[0,5]$ and $y\in[0,30]$
how can we find the inverse function?
I have tried the cardano method and the hyberbolic functions method
but both fail
as the coefficients violate the conditions (eg the discriminant is negative so no real root)
are there any other methods to find the inverse function?

1 hour later…
2:18 AM
Imagine if this was modern game advertising:
2
8

I play a game called DragonSky merge and idle (or something like this). The basic premise of the early game is that dragons will spawn, and will be fused in pairs. You continue to fuse these until you have a level $10$ dragon. Let me be precise. Let $\{D_1,D_2,\dots, D_{10}\}$ denote the set of ...

Formulate mathematical questions about your game to utilise the great SEO of the stack exchange network

3:11 AM

3:34 AM
$$\sum_{n \in \Bbb Z} \operatorname{sinc}(n) = \pi$$

2 hours later…
5:15 AM
$\widehat{\delta_{x_0}}(s) = \exp(-2\pi i x_0 s)$
$\widehat{\delta_{x_0/2\pi}} + \widehat{\delta_{-x_0/2\pi}} = 2 \cos$

10:25 PM
why is the content of the chat room considerably less impressive and or helpful compared to responses for questions I post? Like how come only a tiny selection of users use the chat feature to commutate almost entirely exclusively with one another?

1 hour later…
11:34 PM
Can anyone explain how answer key got the arctan value here? Im super confused