Mark Zuckerberg on Taking Risks and Finding Talented People

So let’s see if we can evaluate the definite integral from ( \frac{11\pi}{2} ) to ( 6\pi ) of ( 9 \sin(x) \, dx ). The first thing, let’s see if we can take the anti-derivative of ( 9 \sin(x) ). We could use some of our integration properties to simplify…

This here is a picture of the ground finch of the Galapagos Islands, and one of its primary sources of food is seeds that it finds on the ground. If we go back to 1976, we can look at the distribution of beak depths, and these beak depths I would assume a…

The universe today is happy and healthy, with exciting things going on. But at some point the night will turn dark. Everything that once was will peacefully sleep forever. But what is the last thing that will ever happen, and when will it be? It turns out…

Antarctica is a place of extremes. Visibility’s dance 20 laces, it’s cold. They’re always cold, and camera equipment doesn’t work. So, on that cold camping, it’s probably 100 degrees warmer than it is right now. Because Antarctica is so hard to get to, we…

Airing it under control, the best time forward. Bump, bump, quick, good, neutral, great! Now it’s a tuna. Having this fish hooked up amongst the fleet is great. If we can land this fish, it would be the first one landed. It could be a good shot in the ar…

Part D. The pipe can hold 50 cubic feet of water before overflowing. For T greater than 8, water continues to flow into and out of the pipe at the given rates until the pipe begins to overflow. Right, but do not solve an equation involving one or more int…