Ex-CIA Spy: China Is Preparing & We're Not Paying Attention! Here's What Happens If They Takeover!

So we have the graph of ( y ) is equal to ( h ) of ( x ) right over here and they ask us, does the intermediate value theorem apply to ( h ) over the closed interval from negative one to four? The closed interval from negative one to four right over here…

We are told the population of a town grows at a rate of ( e^{1.2t} - 2t ) people per year, where ( t ) is the number of years. At ( t = 2 ) years, the town has fifteen hundred people. So first, they ask us approximately by how many people does the popula…

Hey, Vsauce. Michael here. Now, one of my favorite treats of the holiday season is Gabriel’s cake. It’s a super solid based on Gabriel’s Horn that you can make right at home, as long as your home is infinitely large. Okay, all right. Now, the first thing …

[Music] Hours, they’re filming the incredible tree climbing behavior of these lions. They’re getting bigger, they’re getting stronger, and every day means that they’re closer to survival. Lions occasionally climb trees all over Africa, but the two main ar…

(Whooshing) (Smacking) - What’s up, I’m Destin, this is Smarter Every Day. This is the tip of a bull whip and that crack you hear is this breaking the sound barrier. My question is why or how? Like, if you think about it, your arm’s never leaving your bod…

So, in the last two videos, we were talking about this constrained optimization problem where we want to maximize a certain function on a certain set: the set of all points ( x, y ) where ( x^2 + y^2 = 1 ). We ended up working out, through some nice geom…