4chan anon who made significant contribution to a math problem in order to find the best way to watch an anime

Looks like this one https://en.wikipedia.org/wiki/Superpermutation based on the content of the wikipedia article

Then go away and live your life. Let the people who are angry and energized yell at companies to try and get better conditions for consumers.

Given r=f(θ), we are generally not concerned with r′=f′(θ); that describes how fast r changes with respect to θ

You’re using the derivative of a polar equation as the basis for what a tangent line is. But as the textbook explains, that doesn’t give you a tangent line or describe the slope at that point. I never bothered defining what “tangent” means, but since this seems so important to you why don’t you try coming up with a reasonable definition?

I think we fundamentally don’t agree on what “tangent” means. You can use

x=f(θ)cosθ, y=f(θ)sinθ to compute dydx

as taken from the textbook, giving you a tangent line in the terms used in polar coordinates. I think your line of reasoning would lead to r=1 in polar coordinates being a line, even though it’s a circle with radius 1.

Given r=f(θ), we are generally not concerned with r′=f′(θ); that describes how fast r changes with respect to θ

I think this part from the textbook describes what you’re talking about

Instead, we will use x=f(θ)cosθ, y=f(θ)sinθ to compute dydx.

And this would give you the actual tangent line, or at least the slope of that line.

Polar Functions and dydx

We are interested in the lines tangent a given graph, regardless of whether that graph is produced by rectangular, parametric, or polar equations. In each of these contexts, the slope of the tangent line is dydx. Given r=f(θ), we are generally not concerned with r′=f′(θ); that describes how fast r changes with respect to θ. Instead, we will use x=f(θ)cosθ, y=f(θ)sinθ to compute dydx.

From the link above. I really don’t understand why you seem to think a tangent line in polar coordinates would be a circle.

A straight line in polar coordinates with the same tangent would be a circle.

I’m not sure that’s true. In non-euclidean geometry it might be, but aren’t polar coordinates just an alternative way of expressing cartesian?

Looking at a libre textbook, it seems to be showing that a tangent line in polar coordinates is still a straight line, not a circle.

The tangent of all points along the line equal that line

When you say red pill, do you mean this one?

The concept of red and blue pills has since been widely used as a political metaphor in the United States, especially among online hate culture, where “taking the red pill” or being “red-pilled” means becoming aware of purported political biases inherent in society … The supposed truths revealed to those who refer to themselves as “red pilled” often include conspiracy theories, as well as antisemitic, white supremacist, and misogynistic beliefs.

“Google” is just the generic term for a web search, kind of like how velcro means all hook-and-loop fasteners and xerox is a (photo)copy

Looks like the back of someone’s head to me, but the picture is kind of blurry

In the United States, a straw purchaser of a firearm at a federally licensed firearm dealership who lies about the identity of the ultimate possessor of the gun can be charged with making false statements on a federal Firearms Transaction Record, which is a felony. Note that in this case, purchasing the item for another person is ipso facto illegal, regardless of that person’s status as a legal possessor.

from Wikipedia

I guess if you’re buying up a lot of guns with the intent to resell/distribute them, that would count as straw purchasing.

Aren’t we always?

Hey now, what did Microsoft’s Activision Blizzard King ever do to you?

I think it’s just that Discovery didn’t want to let it end. After Adam and Jamie left, they had like 2 more seasons with new hosts. I actually don’t know if the quality of the show dropped, I never really gave it a chance.

https://www.tacobell.com/food/burritos/beefy-5-layer-burrito

Looks like the actual price is $3.79

Do online multiplayer video games count as a commercial use? I kind of like those

https://www.dndbeyond.com/spells/1995-animal-shapes

Another problem might be that animal shapes only has a range of 30 ft

Even if it’s a joke, how wrong are you?

If you plan on moving out anyways, why not just sell the house? It’d give you a large up front sum of money, and you would never have to worry about maintenance or bad tenants again.