Category: Math

  • Purpose Some people told me that I should explain derivatives in my Mean Value Theorem post if I wanted it to be accessible to younger readers. Because that post was already long, I decided to make a separate post for it. This took a while because I wanted to find an intuitive explanation for derivatives,…

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  • As you’re driving through a highway with a speed limit of 75 mph, you notice that cops are logging cars’ speeds (because they have nothing better to do, I guess). Let’s call this checkpoint A. 20 miles and 15 minutes later, you notice another cop car, but this time, the cops are pulling you over…

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  • How can something have a finite volume and infinite surface area? In the physical world, it can’t. Simply because infinite anything isn’t possible as far as we know. But logically, it’s completely possible. In fact, that’s what Gabriel’s Horn is.

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