You mean like, P(X=1) or P(X=2)? That has got to be on the tables that I was showing at the final part (the IA), but I edited it a lot for this video. See if you can find it better on the original one (it's linked in the description). What I have not done, was to separate by goals of each team. I was just counting the total number of goals on the match.
I really enjoyed your excellent video Juliana. This subject reminded me of a similar one about Newton's binomial that I put in my book Calculus-I to solve lim x->+/-inf(1+1/x)^x=e using (a+b)^n and also to solve integrals in the form Int(x^m)(a+bx^n)^p dx. Congratulations! By the way where did you study Calculus?
Interesting, I hadn’t made that connection, even though I’m talking about (a+b)^n in the same video 😄 Thank you for pointing that out. But, I don’t think I would have included it even if I had thought of it, because it would require to think about whether we are allowed to switch the order of two limits, and that kind of delicate rigor I don’t think would fit with the rest of the video.
@julianamaths, my teacher put this question on the board! I already know the answer is 1. I was struggling with the multiplication because I kept doing addition. Anyway, here's how I worked it out: (1+tan²x)(1-sin²x) = (1/cos²x)(1-sin²x) ----- 1-sin²x => (cos²x+sin²x) - sin²x (1/cos²x)(cos²x) I got stuck here because I forget to multiply and I kept trying to add.
Great video, thank you, teacher!
Thank you 🙏
Obrigado professora
W video 😎
Would love to see you discuss the extension of the binomial theorem (with fractional exponents)!
I will, at some point. I like that topic too :-)
@@julianamaths looking forward to it 🙏
Congratulations for the subject.👏👏👏 It would be interesting to have an example for a 1x or x2 result in a football match. Thank you in advance.
You mean like, P(X=1) or P(X=2)? That has got to be on the tables that I was showing at the final part (the IA), but I edited it a lot for this video. See if you can find it better on the original one (it's linked in the description). What I have not done, was to separate by goals of each team. I was just counting the total number of goals on the match.
I really enjoyed your excellent video Juliana. This subject reminded me of a similar one about Newton's binomial that I put in my book Calculus-I to solve lim x->+/-inf(1+1/x)^x=e using (a+b)^n and also to solve integrals in the form Int(x^m)(a+bx^n)^p dx. Congratulations! By the way where did you study Calculus?
Interesting, I hadn’t made that connection, even though I’m talking about (a+b)^n in the same video 😄 Thank you for pointing that out. But, I don’t think I would have included it even if I had thought of it, because it would require to think about whether we are allowed to switch the order of two limits, and that kind of delicate rigor I don’t think would fit with the rest of the video.
@@julianamaths I couildn't agree more!
In portuguese please
Hi, Teacher Julia! Could you explain this problem to me: (1+tan²x)(1-sin²x)? I'm struggling with it. I saw the answer, but I still didn't get it!
What is the question? You are telling me a function but what do you want me to do with it?
@julianamaths, my teacher put this question on the board! I already know the answer is 1. I was struggling with the multiplication because I kept doing addition. Anyway, here's how I worked it out:
(1+tan²x)(1-sin²x) =
(1/cos²x)(1-sin²x)
-----
1-sin²x => (cos²x+sin²x) - sin²x
(1/cos²x)(cos²x)
I got stuck here because I forget to multiply and I kept trying to add.
Ah, so the question was to simplify that expression. Your solution is correct 🙂
poxa...faz esse video em portugues.
In portuguese please