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MR. Organic Chemistry Tutor, these are solid practice problems using Complex Numbers. I hope that students in precalculus are enjoying these great math videos.
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)
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!
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.
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.
@@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
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
❤️❤️❤️ Lovely Video ❤️❤️❤️ For Engineers and Doctors it's very simple and easy Maths😂😂😂 Basic knowledge of Maths Clear In 12th Class PCMB subjects Powerful 🙏🙏🙏
@@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.
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
@@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 :)
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
Its because of a pattern. First I am gonna tell you the pattern. i = -1^1/2 i^2=-1 i^3=i^2*i=-1*i=-i i^4=i^2*i^2=-1*-1=1 Now this pattern repeats at intervals of 4th power. example i^8=1 i^12=1 i^16=1 so, i^n= i^r (r is the remainder you get after dividing n by 4) I hope this helped you.
well, i variable is used to denote √-1 sometimes. square root of a number x, gives us the value which when multiplied by itself (x × x or x^2) gives back x. (√x)^2 = √x × √x = x so, (√-1)^2 = √-1 × √-1 = -1 2 months late but oh well!
Final Exams and Video Playlists: www.video-tutor.net/
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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
I'm in 11th grade and this channel is really helpful for a beginner like me !!!!! Thanks a million billion trillion !!!♥♥♥♥♥
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! 👏
best channel ever, I'm telling all of my friends about your channel
Superb, The Organic Chemistry Tutor, Keep It Up!
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
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.
Hey, just wanted to say this was really helpful.
Thanks~!
Greatest RUclipsr ever to walk the earth!
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)
You will Live 10000 of year's....you Just made it so simple..
Thanks a lot..
Love from South Africa
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!
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
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.
You make math so easy bwana. I'm currently doing my CAT and you are doing me well
Love these practice problems a bunch!
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.
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)
Amazing. This video is easy to understand.Thank You.
Good teacher. I'm ateacher of math all so.
You're the best teacher in the internet + the world.
i have an exam tomorrow ad this makes me SO HAPPY im actually getting it
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
You explanation is really ossum iam studying 9th class it helped me a lot for your explanation🙌👏😸
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...
thx bro i have eng1090 exam tomorrow this is all i know about complex numbers now
You are one in a million.......your videos have really helped me
Ohhh man god bless you. you save ton of my time
Thanks for simplifying everything
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
Chemistry teacher teaches me maths...and he teaches better than rest of maths tutors over there
You have to be awarded 🥺
I normally always like ur RUclips but u were rushing in this one but I still understood.
❤️❤️❤️ 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 💀💀
Thank you very much , always everything simply and clever explaind ! keep em coming plz :)
Thank you so much sir, you are a live saver
So nice and educative
wow i never seen your technique that u used to solve the final question
YOU should teach in oxford
Thanks you so much for your nice methods
You are doing a great 👍 job and I love 💕 that ✊
So good mr. Jg your help because of math eazy will be anderstood.
Really helpful.... Thank you for the video
Can you please make a video on basic probability. Thank you
YOU ARE THE DEFINATION OF NUMBERS
love from ethiopia
Oh me too😁
This video was a life saver
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.
Thank you!
I love your channel
Satisfying video!
This channel Is still the best #2023
Bro when you did the i^59 how did you get 59/4? From where did you get the 4?
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
you are a hero
Can u make a video on how to study? Like effectively please
Watch vedio study less study smart
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 :)
Very helpfull and easy to understand,thanks))
Love from Malaysia
May God bless you❤️
4:10 where do you get the 4??
1:50 maybe easer to use abbreviated multiplication formulas?
Thanks man this helped a lot
Hi! For the question 5, where did the 4 and 14 come from? Please help!!
Thank you sir...
what board are you using to write these ?
Thanks man 👍🏻
Thank you so much pro
Thanks man it really helped me
Thank u
Very nice
🙏thank you ❤️
please what is the meaning and background of modulus complex number
for #5 why did he divide by 4 to begin with. Is that just how you always start a question like that?
absolute legend
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)
This is awesome
So does i always =-1 all the time?
Where did you get the 4?
Helpful. Thank u
Thanks,it's helped me..
Thank youu
i don"t understand in question number 5. Why did you decided to divide 59 with 4?
Its because of a pattern.
First I am gonna tell you the pattern.
i = -1^1/2
i^2=-1
i^3=i^2*i=-1*i=-i
i^4=i^2*i^2=-1*-1=1
Now this pattern repeats at intervals of 4th power.
example
i^8=1
i^12=1
i^16=1
so,
i^n= i^r (r is the remainder you get after dividing n by 4)
I hope this helped you.
Continues 😍
Absolute value of complex numbers are pythagorean theorem
What a shame
A25 B9 C100 D10 E14
I'm so sorry but I just want to ask why "i square" is equal to -1 ? Sorry to ask ., But I hope you'll answer thanks
well,
i variable is used to denote √-1 sometimes.
square root of a number x, gives us the value which when multiplied by itself (x × x or x^2) gives back x.
(√x)^2 = √x × √x = x
so, (√-1)^2 = √-1 × √-1 = -1
2 months late but oh well!
sqrt (-21) = error
Why is 10i +10i cancelled in the second question while 21i+21i is added up
Sir i^3 it should be neg squareroot of i 😊
But thank you for this video. I learned a lot. I used this for my practice solving ❤️
JEE students of INDIA be like:- aree this is ncert level
Woo! 10/10!
I love you so much
Please this i^59, where did 4 come from 🙇🏿♂️