Khan academy is honestly better than my teachers at school. Spent an entire unit not understanding this stuff and now i completely understand it within like 10 minutes

@josephmiranda1246

7 жыл бұрын

I know exactly what you mean

this guy is better than my professor; I've learned more in one video than the week we spent on this stuff

@brynechibaya3407

5 жыл бұрын

way better than mine too

@jaynimje3790

5 жыл бұрын

ya it's true

@tau6582

4 жыл бұрын

lmao ikr

@stinkyradish6935

4 жыл бұрын

Facts

@madfrog9213

3 жыл бұрын

you are right

One correction: a will always be the length of the semi major axis. If the ellipse is "short and fat", a would be along the x-axis. If it is "tall and skinny", a would be along y-axis. By convention, a is never shorter than b.

@bonzai8584

7 жыл бұрын

Aezaz Ali that's why it's x^2/a^2 + y^2/b^2 because a is along the x axis and b is along the y axis. If a is greater than your b then it is called the 'major' axis, if b is greater than a then a would technically be called the minor axis because the length of a to the center is shorter compared to the length of b to the center. The minor axis and major axis can be used interchangeably depending on the value of a and b.

@ahmedihsan5254

5 жыл бұрын

@@bonzai8584 my teacher told me that if the length in y is greater than it is in x, then it should be x^2/b + y^2/a because a should always have a greater value than b but i think its just like you said, they can be used interchangeably, its better and more practical this way.

@susantparida8369

4 жыл бұрын

A and b are just variables, use them as you wish.

@nikitadubrovskyi4050

3 жыл бұрын

Susant Parida this isn’t open to interpretation, you can’t just “use them as you wish”

You are amazing man. You are literally saving my life right now in math. My prof is terrible and I've learned more from 3 of your videos than I've learned my whole semester! Thank you for existing and making these videos lol

@iamyourfan7381

8 жыл бұрын

I KNOW RIGHT!!! HAHHAHA

"So let's say I were to show up at your door...."

@numbersletters2920

4 жыл бұрын

Well eternally grateful.1➗A=

Sal you are AMAZING you have really changed my life! I went from just getting my in my math class in 6th grade to trying to skip two grades this summer so I can study precalc...all in two years!

I definitely got a lot out of this video. Thank you Sal.

Once again, Mr. Sal, you always amaze me with your incredible teaching ability. Thank you so much.

Love how you don’t just give out the formulas for people to memorise them, that takes all the fun out of maths, thanks for the intuition cues

Conic sections used to be the cause of my panic attacks back in 10th grade and also ebcaus eof the teacher that made me feel anxious during the lesson. Khan Academy is such a life saver!

Thank you so much for this...

In 14mins, I finally understood what my professor was trying to discuss for almost 2 hours. Mr. Khan, how I wish I had you as my professor. I'd surely understand every lesson well if you are. Thumbs up for this vid! Thank you so much! :D

i have a test that i’m taking in an hour and a half and i’m just now learning this

I take algebra II online, and when i dont get what they teach(which is most of the time), the teachers themselves recommend you! You've actually been teaching me!

Thank you so so so so much! I have a huge test tomorrow, and all of your videos are helping me understand all of the lessons my teacher doesn't explain well!

Sal you are the man.Hands down.May you always have a spot light on the tube.And may people throw rose peddles at your feet.

thank you very much it was such an accommodating lesson that has extremely helped me i have really understood it thank you once again

Dude ur awesome

@dragovragovich4249

8 жыл бұрын

+cherrycandelabra ure*

Thanks, i finally found a good tutorial =)

Thank you so much Sal Khan!!

there are reasons for why you can't fully understand certain topics in class. no. 1 reason = Distractions, talking to classmates a lot. that crush you keep looking at, and actually forgetting to pull your earphones out.

So how is the formula for the ellipse derived? Is it also an application of the distance formula/pythagorean theorem?

You're everything my math teacher isn't.

Excellent, on point explanations.

Thank you so much!

Thanks a lot your explanations are really perfect.

Extremely well explained I already understood the concept but never heard the word semi-minor axis thank you for educating me :)

Khan academy helped me to cover all my delayed syllabus . Thank u so much

SUPER EASY and I’m self teaching ! :)

That derivation of formula help me,thanks

sorry if it was in the video and i missed it, in a bit of a rush. Given x^2/a^2 + y^2/b^2 as position 1, and x^2/b^2 + y^2/a^2 as position 2, how do you diffrientiate the two and determine whether the ellipse is in position 1 or 2 when values are in place of "a" and "b"? Thank you in advance

without these videos i would have failed Conice. Thank you Sal!

They shouldnt have teacher teach anymore... they should just have students watch your videos and teachers be there to facilitate.

@hanumanaska292

7 жыл бұрын

Irving, can't agree more.

@izreyo8997

7 жыл бұрын

KYRIE IRVING FROM DOWNTON

@dannespringles2687

7 жыл бұрын

you're basically asking to redo what society has been used to since the dawn if education.

@SathvickSatish

7 жыл бұрын

irving c that's never gonna happen

@devonreine7583

6 жыл бұрын

Sathvick Satish that’s what we do at my school we watch videos like this at home and then do a worksheet in class and if we need help we ask the teacher

thanks man thanks so much!

thankx for all your vids hey...thunk ima finally get somr good marks for my algebra

I'm learning about ellipses in math right now and your video really cleared things up for me. Just a small tip though: a always has to be the largest number on the bottom. So in your sample problem a=5 and y=3, not the other way around. That's how you tell whether it's a horizontal or vertical ellipse from looking at the equation. If the bigger number is under y, it's vertical :)

@iMusikkForeva

8 жыл бұрын

I noticed the same thing!

A really helpful video.

thank u so much

Do you have a video for the derivation of its equation?

yes thank you very much

I love Khan Academy.

It's really helpful 😊😊

Love your videos. "a" will switch places with "b" and end up under the y^2 sometimes though. "a" is always the larger term.. not certain it matters but I've seen a breakdown proof where "a^2 - b^2 = c^2".

This helps so much as an 8th grader doing this right now in A2, wish I could have used this at the start of the marking period.

@hanumanaska292

7 жыл бұрын

HubsterRecords, I'm a 6th grader doing this!

@nessy3098

5 жыл бұрын

hanumanas ka I’m a 3rs grader doing this!!

this is good for when absent from algebra class

I wish we used these videos in my actual math class

10th or 11th. This was one of the last things we learned. I took an adavanced so I was able to learn this sophomore year which ended this year :D

thank you sir

gr8! thnx a lot!

The attack of the colored lines!!!

@clevercleverchris In the ellipse that its center is the origin point, The point (0,0) is not a part of the curve.. u cant get both x=0 and y=0 at the same time.. But when x=0, y will be equal to b, and when y=0 x will be equal to a. So yes the point (0,0) does not satisfy the relationship because this point is not included in the curve..

thanks that was really helpful. just wondering how to show the S'P + PS = 2a?

LOVELY VIDEO. It took Kepler EIGHT YEARS of meticulous calculations to prove that Mars moved in an ellipse. He had to throw out the perfect circle which religious dogma insisted must be the shape of orbits. Respectfully if humorously, I propose that KEPPLE be given the meaning "to calculate precisely and CHECK YOUR WORK!" Kepler wrote his own epitaph (in part): "Mensus eram coelos, nunc terrae metior umbras . . ." I measured the heavens, now I measure the shadows. KEPPLE away!

Khan!!!!!!!

Thanks

good

Every time I watch Khan's videos this is me ----> (>0.0)> Mind = Blown ... "Why don't my professors explain it that way?"

Why X_5 for x radious? If it is plus 5 towards the right the new origin? Please help me to see it clear?

Can you do one on making equation shortcuts

GOOD \ LECTURE

any videos that explain eccentricity?

god bless you

thankyou

The guy is super helpful but every 90 sec or so he swallows and it sends nasty chills down my spine

Is there a video that will help me with simplifying into standard form? Like if I wanted to find the standard form of 9x^2 - y^2 - 36x - 6y + 18 = 0. How do I convert that into the y^2 over a^2 + x^2 over b^2 form?

No school for the next six months because of the Corona virus so I'm here to study in advance. Thank you so much sir.💎

@TermLee No because the larger number us under the X so it would be fatter. If the larger number were under the Y it would make it taller. It doesn't matter which side it is on, it matters which variable it is under.

THANK YOU i have an algebra 2 benchmark test tomorrow and my teacher was unclear about conic sections

thanks nice

ur too awesome...

i think it would be easier for the students to learn the complete formula (x-h)^2 /a^2 + (y-k)^2 /b^2 = 1 explaining that (h,k) are the coordinates of the center of the ellipse, i.e. if it's centered at the origin (h,k) would be (0,0). That way you could graph an ellipse anywhere on the plain without having to do much more thinking.

Good

The general function is x^2/a^2+y^2/b^2=1

What app u used in writing? Thanks.

This video is so easy to understand as compared to reading lecture notes 😅

@JohannesNamutuwa

4 жыл бұрын

True😹

What software are you using for making videos ?

you are going to heaven I can guarantee you that

@hitenderrana7268

4 жыл бұрын

What about you

Well, to be fair it is slightly easier for a teacher to make sense in instructional videos - a school teacher often has to work under pressure in order to cover a whole chapter or something during, for example, a seminar. But of course, a teacher should always try to explain the core of everything, and exactly WHY it works a certain way.

not @ me sobbing while watching bc i don't get why corona showed up and ruined my ability to understand math thank u khan acad 🥺

Sir how did you got the value of a and b

@JohannesNamutuwa

4 жыл бұрын

Square root.

Yea, I like that colour too...

I wish I could explain things as clearly as Sal

he's using Microsoft Paint, a program we all have defaulted on windows computers. It's just that he uses it so well that we think it's a top-notch program

For me, this is pre-calculus, which can range from grade ten to twelve.

Can any one explain to me what determines the maximum width and height of the ellipse? I'm trying to complete a free online course and it just jumped right into this topic with virtually no explanation. Thanks!

@ahmedelkhateeb4906

7 жыл бұрын

2a is the maximums width of an elipse , while 2b is the maximum Hight . but why is that ? as mentioned in the video > a is the radius of an elipse in the x-direction , so the maximum width = 2a , while b is the radius of an elipse in the y direction , so the maximum height = 2 x radius in the y- direction = 2xb

When finding the value of a in x^2 / 9, how did you know that it has already been squared? Can't it be 81?

@raghunandan384

7 жыл бұрын

ItzRiordan because it is equated to 1 which means that the net ratio is 1.in which case the numbers written in the denominator are always the squared value

7:17

without these videos i honestly would have failed calc 2

❤

I'm confused on the part where you shift it down 2 (y+2)^2. In base functions, I always think you shift it to the left two spaces. Please help.

@MegaLeopardgeckoman

8 жыл бұрын

+Desmond Celo he is meaning shifting of the y value not the x value. if he was to shift two to the right, he would put x+2

I wish he could take my tests for me...

when we shift to right by a, we subtract = x-a // when we shift to the left, we add: x+a................... for y, it was y+a meant shifting up by a and y-a meant shifting down by a. In the equation of ellipse why have we inverted this principle for y but not for x

What about ehlipse equations that dont have fractions as well as hyperbolas, and a circle equation that doesn't have parenthesis!

i'm doing this in grade 11 maths c

im doing this in first year engineering

But what if the ellipse is rotated so that neither the semi minor or semi major axis was along the x or y axis?

What happens if the equation isnt equal to 1?

I just purchased into the ellipse (intotheellipse) and would like to make it a center for logical philosophical discussions from various viewpoints. My days of mathematics are behind me but I view the ellipse as an interesting model for what I am trying to achieve. I came across this page and I want to compliment you on an incredible presentation.

What if it's x^2 -y^2 instead of the x^2 + y^2 and what if instead of it equaling 1 it equaled like seven or negative 5

@JohannesNamutuwa

4 жыл бұрын

You must try to change the equation in such a way that it satisfies an ellipse equation meaning if the given equation is equal to -5,divide out by -5 to get the equation to be equal to 1.

It's called vertex and co-vertex