Complex Numbers - Free Formula Sheet: bit.ly/3YAyxZe Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: ruclips.net/video/OQz1ydBcQSA/видео.html
MR. Organic Chemistry Tutor, these are solid practice problems using Complex Numbers. I hope that students in precalculus are enjoying these great math videos.
I love learning new things! I don’t have school but I’m watching this to learn and thanks so much for your content it is fun and enriching in knowledge!
Thanks a lot!.Words cannot explain how much i thanks to you .I am a First year computer Science Student .I always afraid of maths.But now because of you i found fun in Caculating Maths.Thanks alot for this Channel.
@@_minus.X3RO Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV
Am humble I was totally far behind in mathematics but now am cool man, special thanks to you from Malawi, Africa (Lilongwe university of Agriculture and natural resources)
@@anymaths Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV
Hey thanks for all these videos, without you i couldn't pass math! THANKS! I have also a request, can you please make a video with complex numbers with the e function ? I don't this kind of video.
Just a little bit of suggestion sir, try explaining it more detailed and slowly or make some stops for us to absorb and comprehend what u'r saying. But this is indeed helpful. Thanks for the efforts.
i can learn more from u in about 2-3 hours then 15 hours in math class wich i dont understand anything as they mess up everything on the board and make the stuff much harder then it should be...
The answers of question number five is so complicated you can use only this formula 1)i^2n=iF IT IS even 1 =iF IT IS odd -1 2)i^2n+1=iF IT Is ODD -i =iF IT IS EVEN i
@@Shosholovee cause you want to make that exponent to be in form i^4*y + i^z, cause we know i^4 is equal to 1. Example i^2021 is same as if you write i^4*505+i^1 which leads to answer i^2021=i.
❤️❤️❤️ Lovely Video ❤️❤️❤️ For Engineers and Doctors it's very simple and easy Maths😂😂😂 Basic knowledge of Maths Clear In 12th Class PCMB subjects Powerful 🙏🙏🙏
@@jalynnhawkins7 because if you take i^4, it equals to one. So what he did was make life easier for himself and express the 59 in terms of groups of 4. 1 to the power of any number is always 1. When he divided 59 by 4, you get 14 with a remainder of 3. Meaning that he can (according to index law) express i^59 as (i^4)^14 * i^3. Since i^4 equals to 1 (this is because i^2 is -1 and i^4 can be expressed as i^2 * i^2, which then equals to 1), the equation is 1^14 * i^3. Since 1 to the power of anything is 1, 1^14 is just 1. Therefore the equation simplifies into 1 * i^3. Now, i^3 is just i^2 * i, which is just -i (as this was obtained from -1 * i). The equation then further simplifies into 1 * -i which is just -i, which is how he got his answer :)
On #9 I think I caught a mistake. When you add 16+9 on the denominator I think it should be 16-9 because the addition sign is being carried over by the 12i which got canceled out already. Anyway the different answer I got after catching the mistake was 18/7 +17i/7
Old but that doesn't happen. X - X becomes 0, so it's like having 16+0-9i^2. You could use an addition or subtraction sign for the 0 and it wouldn't change a thing. It becomes 16-9i^2 and i^2 becomes -1 and it obviously then turns into 16+9.
@@nevaskomaeda3051 Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV
I think he used it to simplify i^59 59 is odd number,,,,but he got 14.75 if u multiply 4 with 14.75 u wont get 59 but by 14 u will get ,i think he used for this reason
Complex Numbers - Free Formula Sheet: bit.ly/3YAyxZe
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Next Video: ruclips.net/video/OQz1ydBcQSA/видео.html
I’ve had a lot of problems lately with mathematics in college I can never thank you enough sir
I’ve had a lot of problems lately with mathematics in college I can never thank you enough sir
i will tell the rest of the world that this is the best channel ever exist on earth.
Ikr
No doubt
this is literally saving my math grade lol
@@wendywang4096 nothing can save my math grade , but this THIS can help it a little
You are so expert on commenting 😂🤣
MR. Organic Chemistry Tutor, these are solid practice problems using Complex Numbers. I hope that students in precalculus are enjoying these great math videos.
Your channel was just introduced to me and i bet you no one will ever regret learning through this helpful channel. biggups....
Impressive! Never had one topic rushed down so fast, yet giving one such intuition👏👏👏👏
YH its was awesome
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When I come to this channel, I always leave with a deeper understanding than I had when I came in. What a helpful RUclips tutor! 👏
I'm in 11th grade and this channel is really helpful for a beginner like me !!!!! Thanks a million billion trillion !!!♥♥♥♥♥
Superb, The Organic Chemistry Tutor, Keep It Up!
Greatest RUclipsr ever to walk the earth!
Hey, just wanted to say this was really helpful.
Thanks~!
I love learning new things! I don’t have school but I’m watching this to learn and thanks so much for your content it is fun and enriching in knowledge!
Thank you a lot..god bless you as you teach many just to help humanity because you deserve to be a teacher and carry a noble case.
Thanks a lot!.Words cannot explain how much i thanks to you .I am a First year computer Science Student .I always afraid of maths.But now because of you i found fun in Caculating Maths.Thanks alot for this Channel.
you and I both 😅
@@_minus.X3RO yess i passed my 1st yr exam.Now i'm 2nd yr 1st sem. Fighting you can do it too✨
@@k303k tysm! I'll do my best!!
@@_minus.X3RO Jesus Christ loves us all.
For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline.
2 Timothy 1:7 NIV
Same at CSE
Love these practice problems a bunch!
Love from South Africa
You will Live 10000 of year's....you Just made it so simple..
Thanks a lot..
You make math so easy bwana. I'm currently doing my CAT and you are doing me well
Am humble I was totally far behind in mathematics but now am cool man, special thanks to you from Malawi, Africa (Lilongwe university of Agriculture and natural resources)
I can boldly come out and say that most of the things I know in math and physics are being learnt from this God sent
Can't lie but you technique is great they always answer my questions
I like how you made it clear, keep it up
easy maths
@@anymaths Jesus Christ loves us all.
For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline.
2 Timothy 1:7 NIV
Amazing. This video is easy to understand.Thank You.
You're the best teacher in the internet + the world.
Thanks for simplifying everything
i have an exam tomorrow ad this makes me SO HAPPY im actually getting it
Good teacher. I'm ateacher of math all so.
Chemistry teacher teaches me maths...and he teaches better than rest of maths tutors over there
Hey thanks for all these videos, without you i couldn't pass math! THANKS!
I have also a request, can you please make a video with complex numbers with the e function ? I don't this kind of video.
You are one in a million.......your videos have really helped me
You have to be awarded 🥺
Really helpful.... Thank you for the video
YOU ARE THE DEFINATION OF NUMBERS
This video was a life saver
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wow i never seen your technique that u used to solve the final question
Thank you!
Ohhh man god bless you. you save ton of my time
Just a little bit of suggestion sir, try explaining it more detailed and slowly or make some stops for us to absorb and comprehend what u'r saying. But this is indeed helpful. Thanks for the efforts.
I mean, you can always pause.
Your channel is the best, very helpful.... If I get a million dollars I'll give you 40% 😉😉
That’s 400,000 your giving him, man. That could afford my retirement funds (ΦωΦ)
Thanks you so much for your nice methods
thx bro i have eng1090 exam tomorrow this is all i know about complex numbers now
Thanks man it really helped me
So good mr. Jg your help because of math eazy will be anderstood.
Can you please make a video on basic probability. Thank you
I normally always like ur RUclips but u were rushing in this one but I still understood.
Very helpfull and easy to understand,thanks))
YOU should teach in oxford
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You explanation is really ossum iam studying 9th class it helped me a lot for your explanation🙌👏😸
Thanks man this helped a lot
i can learn more from u in about 2-3 hours then 15 hours in math class wich i dont understand anything as they mess up everything on the board and make the stuff much harder then it should be...
The answers of question number five is so complicated you can use only this formula
1)i^2n=iF IT IS even 1
=iF IT IS odd -1
2)i^2n+1=iF IT Is ODD -i
=iF IT IS EVEN i
love from ethiopia
Oh me too😁
Perfect! but I've a question 3:49 why u divide 59 to 4 this is dark for me
same question do you still know?
@@Shosholovee cause you want to make that exponent to be in form i^4*y + i^z, cause we know i^4 is equal to 1. Example i^2021 is same as if you write i^4*505+i^1 which leads to answer i^2021=i.
1:50 maybe easer to use abbreviated multiplication formulas?
Satisfying video!
4:10 where do you get the 4??
Thank you so much pro
I love your channel
May God bless you❤️
Thanks man 👍🏻
Thanks,it's helped me..
Can u make a video on how to study? Like effectively please
Watch vedio study less study smart
Still the best👌 mashaAllah
absolute legend
you are a hero
❤️❤️❤️ Lovely Video ❤️❤️❤️
For Engineers and Doctors it's very simple and easy Maths😂😂😂
Basic knowledge of Maths Clear
In 12th Class PCMB subjects Powerful
🙏🙏🙏
Indian ahh comment 💀💀
Helpful. Thank u
This is awesome
Thank you sir...
🙏thank you ❤️
Love from Malaysia
I have question in number 5 question. Where did you get the 4 to divide it to 59?
that’s exactly what i was wondering. i think it might be a multiple? i really don’t know
Bro he used a calculator
it's always a multiple of 4.
@@rosacamelasaguid262 what is?
@@jalynnhawkins7 because if you take i^4, it equals to one. So what he did was make life easier for himself and express the 59 in terms of groups of 4. 1 to the power of any number is always 1. When he divided 59 by 4, you get 14 with a remainder of 3. Meaning that he can (according to index law) express i^59 as (i^4)^14 * i^3. Since i^4 equals to 1 (this is because i^2 is -1 and i^4 can be expressed as i^2 * i^2, which then equals to 1), the equation is 1^14 * i^3. Since 1 to the power of anything is 1, 1^14 is just 1. Therefore the equation simplifies into 1 * i^3. Now, i^3 is just i^2 * i, which is just -i (as this was obtained from -1 * i). The equation then further simplifies into 1 * -i which is just -i, which is how he got his answer :)
4:03 WHY 4 or can we put any number
Have you got the answer
@@arlindaduraku2564 no why
@@yuno6697 well I got it 😌 its because " i " in the fourth power is equal to 1
@@arlindaduraku2564 k thx
Bro when you did the i^59 how did you get 59/4? From where did you get the 4?
Very nice
So does i always =-1 all the time?
Absolute value of complex numbers are pythagorean theorem
What a shame
Why do we divide by 4 on 3:49
On #9 I think I caught a mistake. When you add 16+9 on the denominator I think it should be 16-9 because the addition sign is being carried over by the 12i which got canceled out already. Anyway the different answer I got after catching the mistake was 18/7 +17i/7
You are wrong boss check the solutions again
Old but that doesn't happen. X - X becomes 0, so it's like having 16+0-9i^2. You could use an addition or subtraction sign for the 0 and it wouldn't change a thing. It becomes 16-9i^2 and i^2 becomes -1 and it obviously then turns into 16+9.
@@nevaskomaeda3051 Jesus Christ loves us all.
For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline.
2 Timothy 1:7 NIV
was about to mention that
Thank u
please what is the meaning and background of modulus complex number
For question 5, why did he have to divide 59 by 4?
I think he used it to simplify i^59 59 is odd number,,,,but he got 14.75 if u multiply 4 with 14.75 u wont get 59 but by 14 u will get ,i think he used for this reason
Because
i^1=i
İ^2=-1
i^3=-i
i^4=1 and then i^5=i^4•i if i^4=1 then i^5=1•i=i .and it will going on like this (Sorry l don't know that much English)
Where did you get the 4?
I really hope someone answers my question. @8:22 shouldn't 3i¹⁶ be 3(i⁴)¹²?
no, 3(i^4)^12 would be 3i^48
@@finny5834 Thank you so much. I actually thought (i⁴)¹² was the same as i⁴×i¹²
Hi! For the question 5, where did the 4 and 14 come from? Please help!!
sqrt (-14) = error
pythagoras - never heard of him
what board are you using to write these ?
اكو عراقيين يقرون هنا 😂😂 طالب دفعة 2023 ليش عبالك بس انته تقرا 😉
I don’t get you on 03:58 … how ?
why did he divide by four in 3:47? Please Reply!
Because i^4=1 and it's more easier to simplify that way
@@fiahether thanks 🤗
@@arlindaduraku2564 np :)
Thank youu
who come in 7:48 the answer like that
for #5 why did he divide by 4 to begin with. Is that just how you always start a question like that?
Thankyou now ill fail slightly better