READ PARALLELSTUCK

herbert

I wish there was a type of warm cuddly animal that requires no upkeep and can live in your car without issue

Your beloved fluffy pet, Sack of Rice, lives in the passenger seat of your car. However, the sack is not quite secured properly, and approximately 2% of the rice in the bag spills out every day.

You would hate to "muzzle your pet" (as you would put it), so making efforts to stop this spilling is unthinkable. Instead, you counteract it by stuffing 10 grams of rice into the bag every day.

When the amount of rice reaches an equilibrium point, what is the mass of the rice in the bag?

500 grams obviously. 2% of 500 grams = 10 grams. this is easy. why did you tag this with "differential equations" and "exponential functions"

I don't disagree with you that it is an easy question, but I tagged it as that because it is ultimately what is happening here, even if it is very easy to just skip to the end if you think about it for a couple seconds.

I will admit I debated the exponential function tag, because ultimately you don't need to integrate the differential equation, but you would get an exponential function if you did.

Here's, essentially what you are doing, but in a slightly more drawn out way:

(forgive the undescribed math here... It would be REALLY nice if Tumblr randomly supported LaTeX or had its own in-house way of depicting equations but it doesn't.)

First, we set up a differential equation:

M is the mass of the rice (in grams).

t is time (in days).

Now the foolproof way to figure out the amount of rice at the equilibrium is to figure out the general solution to that differential equation and find the limit as t → ∞. But I'll be honest. That's too much work for me. That's too much work for you.

Instead... If the amount of rice in the bag isn't changing day by day, wouldn't the derivative simply be 0?

Well, yeah.

Then you use basic algebra to solve for M.

zim every ep: has a new plan to take over the earth or kill dib or something

almost every gir subplot:

obsessed with the discourse on my timeline today

Yeah, a 100% straight guy wore a Brony shirt to school. I just became 20% cooler.

being self aware is the worst thing ever. can’t even be pissed at my dad properly without having a disco elysium ass internal monologue about it

PISSY TEENAGER: GOD dad just does not FUCKING get us!! And he isn’t even trying to!!

AUTISM: Nay, we shall not complete this task, chosen arbitrarily and with nary a consideration towards our numerable other priorities. The harder he may push, the harder we shall rebel, for this is a waste of our time with no evident necessity for its immediate completion!

RATIONALE: As a nineteen year old woman still living at home and with a history of frustration with her father, it makes sense for this time of our life that we would conflict with him, in this and other ways. In all things we must seek calm.

AUTISM 2: Ough…. The Dharafter…

TUMBLR BRAIN: Wow, real original. Way to ignore the actual themes of Disco Elysium, not that you know since you haven’t even gotten around to playing it yet! Why not go look for your neighbor’s cat in the Alps while you’re at it?

We literally cannot let them start charging 80 dollars for video games 70 dollars was already outrageous 60 was pushing it. 80 fucking dollars. ARE YOU OUT OF YOUR DAMN MIND. For MARIO?!?!?!?!?

there is nothing about anything i love enough to spend this much on a fucking video game. like. i'm actually fine never playing a new animal crossing ever again. i thought the og switch prices were absurd - and they are! but goddamn they got worse somehow?!

Here’s an insert from one of my SNES game boxes from back in 1996. Direct from publisher.

Games have always been expensive.

"GUYYTYTSHSS 30 YEARS AGO THEY WERE GOUGING PEOPLE BECAUSE THE TECHNOLOGY WAS NEW.........IT OBVIOUSLY MAKES SENSE FOR THEM TO DO IT NOW.......STOP COMPLAINING GODD......." you people sound so fucking stupid bringing this shit up its embarrassing

based on actual thoughts I had at the club last night

Ah, it's good to see you :D

Gordon, you lllllll𝕃𝕆𝕌𝕤𝕪 mothufucker. GET YO 𝐃𝐎𝐑𝐊 - 𝐀𝐒𝐒 down tothe 𝓉𝑒𝓈𝓉 𝒸𝒽𝒶𝓂𝒷𝑒𝓇 or else i will ＳＨＯＶＥ 🆃🅷🅴 ＳＡＭＰＬＥ up your 𝔞𝔰𝔰.

*beep bee-beep bee-beep* *splat*

𝙎𝙏𝙊𝙋 𝙁𝙐𝘾𝙆𝙄𝙉𝙂 𝙒𝙄𝙏𝙃 𝙏𝙃𝙀 𝙈𝙄ᴄʀᴏᴡᴀᴠᴇ