Calculus 3: Divergence and Curl (17 of 32) The Curl: Change in F is NON-Linear

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In this video I will find the curl of F at point (3,3), where F is the non-linear vector field f=(-y^3)i+(x^3)j.

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Wow!, can’t express how much am grateful for your explanations sir.
Thanks for spending time making physics clear for us. YOU ARE THE BEST.🌸

_tasneem

Hi professor! Thank you for the playlist, your channel has helped me a lot! Also, I think there is a mistake at 3:44 of this video. You mentioned 3^3 but written 3^2 on the board instead

kian

Greetings Sir you are my idol! I am so glad I found your channel and you deserve so much more. I al watch your videos because I like those stuff and I like you too you are the best teacher and a great man. I have a kind of riddle and I thought about it when I was watching a show on tv one day, and then I discovered that it was already asked by some people in the past, my I couldn't get an answer, so if you know, please tell me the answer cause it really buggles my head for a few months now. I'll wrtite it below.

Suppose we have 3 curtains, Number 1, Number 2 and Number 3. One of them, has a very expensive gift, let’s say a car. The other 2 curtains are empty. In which curtain the car is, to us is completely unknown. The host of the game though, is aware in which one it is. Note, that there is not any other clue that can help us determine on which curtain the car is. So since there are 3 curtains we have 33.3% chance of randomly picking the car. And so we pick one randomly. For example, let’s say we pick curtain Number 1. And for this example, let’s say the car is in curtain Number 2. The host, which, as stated is aware of in which the car is, will open neither the curtain that has the car, nor the one we have picked. So they would always open an empty curtain first. That happens 100% of the time. In our example, since we picked curtain 1, and the car is in curtain 2, the host will open courtin 3. If we picked the same curtain as the car is in, the host would open one of the other 2, which again, would be empty. So 100% of the time, an empty curtain will go out first. Now, there are 2 curtains left. The one we chose, and the other which either has the car, so we didn’t win it, or it’s empty so the car is in the one we have chosen, and so in this case we have won it. Based on this scenario, which as I mentioned is always going to happen, we now have 50% chance of having the car in our curtain. And, since always an empty curtain will go out first, we will always have 50% chance of getting the car. The process repeats many times, with different contestants. In conclusion, the contestant, will always come to the point where they have 33.3 % chance (in the beginning) and they will always come to the point where they have 50% chance (since 100% of the time an empty curtain will go out first) of getting the car. So now the question arises, when the contestants begin, what chances do they have of getting the car? 33.3% or 50%?

evansia

Why don't we take the change in x as negative we were at -27 and went to -64 so the change is -37 why 37 ?

ismailsevimli

very good teacher. Can you please make video on utility of Fourier transform? If you decide to make one, please, teach with examples like these video.

AshishSharma-rggu

how did it became 4³ - 3³....help sir, i cant quite understand that part

abdulrahmanmohamed

You astronomy playlist is unfinished.why?

kmmaheen

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