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Mr. Kwon
United States
Приєднався 5 вер 2020
Hi everyone, welcome to my channel. I'm Mr. Kwon and I teach math.
Finding the Taylor Series of f(x)=e^(2x) at a=4
In this video, we talk about how to find the Taylor Series of f(x)=e^(2x) at a=4.
We also find a Taylor Polynomial of degree 3 to approximate a function's value.
▬▬▬▬▬▬▬▬▬▬ Contents of this Video ▬▬▬▬▬▬▬▬▬▬
00:00 Intro
00:09 Example Statement
00:24 Part (a)
01:28 Part (b)
02:06 Part (c)
02:33 Part (d)
03:01 Graphing Calculator Tutorial
06:19 Part (e)
07:00 Conclusion
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
#math #calculus #series #taylorseries #stem #education
We also find a Taylor Polynomial of degree 3 to approximate a function's value.
▬▬▬▬▬▬▬▬▬▬ Contents of this Video ▬▬▬▬▬▬▬▬▬▬
00:00 Intro
00:09 Example Statement
00:24 Part (a)
01:28 Part (b)
02:06 Part (c)
02:33 Part (d)
03:01 Graphing Calculator Tutorial
06:19 Part (e)
07:00 Conclusion
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
#math #calculus #series #taylorseries #stem #education
Переглядів: 61
Відео
Solving Exponential and Logarithmic Equations
Переглядів 37Місяць тому
Solving Exponential and Logarithmic Equations
Real Zeros of Polynomials
Переглядів 35Місяць тому
In this video, we talk about how to find real zeros of polynomials. If you found this video helpful, check out more of my precalculus videos here: ua-cam.com/play/PLA9jNzFojx4amcYfNLJ_87sn1FTmzBJTy.html&si=ahgMu7fe6VzL21MC ▬▬▬▬▬▬▬▬▬▬ Contents of this Video ▬▬▬▬▬▬▬▬▬▬ 00:00 - Intro 00:34 - Rational Zeros/Root Theorem 01:51 - Example 1 14:53 - Example 2 21:46 - Descartes' Rule of Signs 22:16 - Ex...
Finding a Polynomial Given Specific Zeros
Переглядів 592 місяці тому
Finding a Polynomial Given Specific Zeros
Tangents of Parametric Equations Example
Переглядів 502 місяці тому
Tangents of Parametric Equations Example
One-to-one Functions and Inverse Functions
Переглядів 552 місяці тому
One-to-one Functions and Inverse Functions
How to Create a Survey in Google Forms
Переглядів 794 місяці тому
How to Create a Survey in Google Forms
Complex Zeros and the Fundamental Theorem of Algebra
Переглядів 1045 місяців тому
Complex Zeros and the Fundamental Theorem of Algebra
Dividing Polynomials (using Long Division and Synthetic Division)
Переглядів 895 місяців тому
Dividing Polynomials (using Long Division and Synthetic Division)
Polynomial Functions and Their Graphs
Переглядів 1215 місяців тому
Polynomial Functions and Their Graphs
How to Save a Google Doc as a Word Document or PDF
Переглядів 605 місяців тому
How to Save a Google Doc as a Word Document or PDF
How to Share a Link to Your Google Sheet
Переглядів 255 місяців тому
How to Share a Link to Your Google Sheet
How to Create a Financial Budget in Google Sheets
Переглядів 1865 місяців тому
How to Create a Financial Budget in Google Sheets
Functions and Their Graphs (Part 3 of 3)
Переглядів 795 місяців тому
Functions and Their Graphs (Part 3 of 3)
Functions and Their Graphs (Part 2 of 3)
Переглядів 1096 місяців тому
Functions and Their Graphs (Part 2 of 3)
Functions and Their Graphs (Part 1 of 3)
Переглядів 1346 місяців тому
Functions and Their Graphs (Part 1 of 3)
Harem?
Ok that’s nice and all, but is fr no one gonna talk about that the other one is implied to be not used and then he could have just gave that theoretically ;-;
As for me and mine I pay 100% of rent and utilities and my vehicle she pays her vehicle note and outstanding debt
My gf does every chore in the house so i pay for all of the rent lol
Literally do this
She guards the house while i am at work.
Woah thanks a lot! A little sped up but great to have some help!!
@TheCrystalWarrior2 I’m so happy to hear it was helpful!
Hi1 Is it possibe to get thiss file
Sure thing, I put a link to it in the description of the video.
2.5 x 2500 is not 12500, its 6250
Was not expecting Mr. Kwon to be in my yt shorts
I'm everywhere! Just like math is.
no i have not wondered that
@@olive7600 😂😂😂 I’m guessing most people have not.
Finally, proper names
@@eliudnjai I don’t even remember their real names at this point 🤷🏻♂️
Thank you for posting this.
@@williampolinchak you’re welcome! I hope it was helpful.
Mr kwon you explained very well
Thank you for the kind words!
Thanksss
Greeting, how to disable this feature?
@@KmsMuhammadNaufal Hmm, I’m not familiar with how to disable this feature.
you will have to ask the managers of your system, but it is unlikely to happen if it needs to be for the whole system, as others may prefer to keep it... Your admins will decide
bro snuck in an integral and a logistic function
@@jujubee13 🤓
For example 17. shouldn't the equation of the line be y=x-1?
@@migueltorres2540 yes! Thanks for catching that Miguel. I mixed up the x and y coordinate when I was solving for the b value.
I just want to say, I love your vids. People are watching, just not commenting ^_^
@@lvxingzhe2718 thank you so much! That means a lot. I hope the videos are helpful 😊
THANK YOU
You're welcome!
i did all of them in 45 minutes, good ones also, i found a way easier way to solve and express the result of the 25th one: you take tan(x/2)=u, which gives the equivalent result of tan(x/2)+ln(tan²(x/2)+1)+C, way easier than the one showed
That's great!
Its very very usefull and you are so polite person
@@wryanihad thank you so much! I’m glad it was useful to you 😊
I did so badly on 13
@@-WarMapping- trig substitution is challenging! Hopefully it makes sense now.
Thank you Mr. Kwon this is great review material for me. Much appreciated
You’re welcome!
This is very helpful! Thanks!<3
You’re welcome!
Hello! For number 5, am I able to get the same answer using trig sub replacing everything with sqrt2sec^2theta/2sec^2theta ?
After doing the u-substitution, you can definitely use trig sub. I used the shortcut that the integral of 1/(a^2+u^2) du = (1/a)arctan(u/a) + C, but this formula can be derived using trig sub!
For the 7th we juste have the integral of u’e^u so its equal to e^u=e^arctany, the substitution was useless
Same for the 8th
Wow
petition for you to start a tik tok
I have a tik tok! I just never post anything on it. But maybe I need to start!
Good luck on your finals, Phoebe!
@@mrkwon you should!
@@mrkwon thank you!
@PhoebeBowers-hr4ls your last name is missing an R. Otherwise I can credit you for the fixed point theorem.
Damn I found a best video. After I did my exams 😕
I hope you did well on your final exam!
after acing out integration in my jee exams this seems like a normal task
I like eating sushi too!
Gracias por éstos ejercicios me ayudan a practicar, saludos desde Perú 🗣️
Estoy feliz que mi video puede ayudarte! Saludos desde los Estados Unidos!
1a could be reduced to -7(cos x)^5+ 5(cos x)^7 + C
21:19. Why is it -infinity and not +infinity? Cause the limit is lim a->0+(-1+1/a)
Thanks for catching that! It should be +infinity. The final answer would still be the same.
Omg do you have a pdf of this?😭
Yes, I added a link to the PDF in the description of the video. I hope it helps!
Thank you 🙏
You're welcome. I hope it helps and that you get a lot out of it.
man we take this in Jordan by high school take a look nccd.gov.jo/EBV4.0/Root_Storage/AR/Math/7.12.2023/G12%20Elmi/2/ST/MT12_SE2_WEB.pdf
Wow, that's impressive! Thanks for sharing.
One way to solve this: Chain rule XD
please i beg release part two before Sunday 🥲
I will try my best! These recordings are somewhat time consuming, and it's the end of the quarter for our college. So it's busy season right now!
@@mrkwon thank you ❤️
Is this stuff really that hard? When I took this back then, I barely studied and I score >95% on exams.
@Grassmpl yeah it is, either you're a genius or got a lenient professor or both. In my uni my professor is teaching this course to 3 different sections with each section is about roughly 20 students. About 10-20 passed the course and I managed to barely pass with exactly a 70 percent. And I was preparing for the final a month in advanced studying no less than 4 hours a day for it.
great, just right after i finished my exam
How did your exam go? Did you ace it?
Reply to him heathen
thanks man from Jordan
Thank you for watching!
Good. Now you need Gauss and you can start row reducing.
for question 4, i got the exact same answer, but instead of cos(x), I got sin(x). I checked with a integral calculator and it also gave me sin(x). I assume that both of these answers would work on an exam?
Hmm, I'm not sure. I would need to see your work to determine.
Take derivative to check if your answer is valid. The ln|cos x| can't turn into ln|sin x|, but the replacement in the other term will only be off by a constant and hence is valid.
27:07 where did 2x^2 come from?
It comes from multiplying the 2 denominators together (x*x) and then distributing in the 1/2 into the brackets. Notice that the brackets disappear from the line above it.
Amazing solution and explanation to everything !! i have to ask tho what level is this at? because i study electrical engineering and this seems like an easy test to me :)
Thanks! This is a calculus 2 exam from a community college.
Over half of a thousand views in less than a day, Mr. Kwon is on the come up!!
Thanks for the support!
i gave up when you started trig sub bc I just finished highschool geometry cp and I did 1-4 without help, but when you started trig sub I gave up bc I have tried trig sub and it is just overly complicated
I'm glad you were able to do the first 4 without help! If you need some assistance with trig sub, I have videos on those on my UA-cam channel you can watch. Trig sub is definitely challenging and requires that you have a good working knowledge of trigonometry.
@@mrkwon whats considered a good working knowledge
@@terrariariley1643 You would want to be comfortable with the unit circle, right triangle trigonometry, and have most of the trigonometric identities memorized. I hope this helps!
@@mrkwon Yes it does help, thank you
Thank u sir
You're welcome. Thanks for watching :)
Hello, Mr. Kwon, I was wondering for #3 where you made u=1-sin(x), and du is cos(x)dx, is the derivative of -sin(x) equal -cos(x) dx?
Yes, thank you for catching that!
differential of -sinx equal -cos(x)dx, not derivative
Mr Kwon I would like to say l'm a big fan and I want you to drink green smoothies
Thank you! I don't know who you are, but I appreciate you. I <3 smoothies and boba.