Yeah this stuff gets harder as you’re less ingrained in all the tricks

but it would only be useful in times like these

Calc is the most useful math

Wrinkly brain discord

Arguably

Aside from maybe algebra

yeah

But that’s easy

algebra is even useful for the everyday man

Calculus has used

Uses for average joes

when ?

I’d you’re crafty

I was building a boat and used calculus to find the waterline on the vessel

Reminds me of one class where I solved this insanely hard integral using a -1st expansion of a maclaurin series

Double integral for volume of the hull, displacement of water therefore

It can be so beautiful when all the pieces come together

Archimedes principle

Then I knew where to put the watermark on the boat without putting it in the water

Because the specific weight of water is known

nice

It’s a paradox without calculus to solve

You can’t put it in the water without anti fouling paint

Calculus never stops giving.

learning the tricks isnt so important in my view. we can always brute force the answer with a for loop

But you don’t know how high to put the paint without the waterlevel

So you’re at an impasse

Just paint it everywhere

lol that would be mad ugly

then you spend more than you have to

<:autistic:435640902224969729>

Fouling paint is about the same expense as the super nice epifanes paint I use

What if the amount of paint changes the buoyancy

Pretty negligible

Now you need numerical methods lol

I would assume negligible

I was showing my son with numerical methods we could solve really hard equations arbitrarily close and the difference came down to less than the length of an atom

So not likely to matter

Mass added was a composite I wrote into the equation it included paint, average load and location of load center of gravity

what grade is he in?

9th