Sal is a truly gifted teacher, but this isn't one of his better lessons. The frequency with which he starts and then abandons sentences mid-stream here makes for a very fragmented learning experience.
For me, when I'm using the formula for an ellipse, I tend to not use the variables a and b as "horizontal" or "vertical" radii. I would rather just say that the variable a represents the major radius instead of whatever the horizontal radius is. Same for b, I tend to use that as the shorter radius (minor). I think this is just an easier way or referring to these radii when I'm using the formula for an ellipse to find the foci/focal distance
To determine which way they Hyperbola opens can be simplified by saying whenx^2 is proceeded by a plus sign it is horizontal or When y^2 is proceeded by a plus sign the transverse axis is vertical. Or even simpler which ever is written first being the plus one is always written first in standard form. Very helpful video
i was tought that no matter what a>b. a is always the semi major axis and b is always the semi minor axis. i'm sure either works but i find it interested that both ways are tought, i'm sure this has lead to some confusion
if you put y to zero, you will get the smallest absolute (positive and negative) value of x, which is the vertex by 0 shifting. It is the smallest value, because of the minus sign between x squared and y squared in the equation. if you put instead y to zero, you will get for hyperbola around the x axis complex rooots resp. there are no real roots, therefore there is no intersection with y axis of real numbers.
@454ffv meant to say y=[4/2.25]x... doesn't change the fact that you're still wrong... (you said) 4/3 =1.3 | (i said) 4/2.25 =1.7(repeating) | (he said) 16/9 =1.7(repeating)... Get It? Good! Get Out House!
I thought this was going to help me learn to find the foci in a hyperbola. But it doesn't! If your going to make a video about hyperbolas, then don't talk about ellipses.
you are really struggling with your wording here. when making educational videos for the whole world, you oughta at least practice the ones you struggle with.
Sal is a truly gifted teacher, but this isn't one of his better lessons. The frequency with which he starts and then abandons sentences mid-stream here makes for a very fragmented learning experience.
For me, when I'm using the formula for an ellipse, I tend to not use the variables a and b as "horizontal" or "vertical" radii. I would rather just say that the variable a represents the major radius instead of whatever the horizontal radius is. Same for b, I tend to use that as the shorter radius (minor). I think this is just an easier way or referring to these radii when I'm using the formula for an ellipse to find the foci/focal distance
To determine which way they Hyperbola opens can be simplified by saying whenx^2 is proceeded by a plus sign it is horizontal or When y^2 is proceeded by a plus sign the transverse axis is vertical. Or even simpler which ever is written first being the plus one is always written first in standard form.
Very helpful video
thanks for all... khanacademy .....your useful lessons .....from lima peru
13:46 Oh thank god, I was like "Aww man, I have everything backwards."
I do love his voice.
i was tought that no matter what a>b. a is always the semi major axis and b is always the semi minor axis. i'm sure either works but i find it interested that both ways are tought, i'm sure this has lead to some confusion
The whole video: was useless to me until 12:40
Right? At least 12 minutes wasted....
the alarm going off in the background really kept making me take my headphones off cause I thought it was from my own room lol
dang. thought it was folk-eye
You can say it either way ua-cam.com/video/wLjMLBNkPN0/v-deo.html
i think you should make videos about how to be as cool as you
How would you find the vertices?
if you put y to zero, you will get the smallest absolute (positive and negative) value of x, which is the vertex by 0 shifting. It is the smallest value, because of the minus sign between x squared and y squared in the equation. if you put instead y to zero, you will get for hyperbola around the x axis complex rooots resp. there are no real roots, therefore there is no intersection with y axis of real numbers.
Thank you so much
i dont even remember this conversation its been so long, don't dig up old comments and annoy people please...
How can you produce videos longer than 10 minutes for You Tube? I'm lovin having one spot to both look at the math of kinematics and the Paulson plan!
If we are graphing and we got the foci from the a^2-b^2=c^2.. Do I count from the vertex of the hyperbola or from the center to graph?
@454ffv
it appears you need to polish up those math skills of yours kind sir
(it could be y=[4/2.5]x though)
how do you know which one is a or b? is it always under one axis?
a to x and b to y axis
can you explain me
about directrix of
hyperbola.
Does hyperbola even have a directrix??
@@ssn90 yes ofcourse
at 13:05 he messed up. Hyperbola is minus not plus between the x squared and y squared
Li Jimmy your repied on a 8 yo comment
at 14:00 wouldnt the line be y=4/3x?
i am still struggling wiht finding the solution to a Hyperbola in standard form... and finding the foci and verticies!
...fair enough.
They're teaching us these things (and more) in tenth grade. I feel like it's too advanced. Gosh, math, why you do dis to me?!
WTH we are never even taught conic section in Alevel,just gotta learn this shiote for college entry tests
@454ffv
meant to say y=[4/2.25]x... doesn't change the fact that you're still wrong... (you said) 4/3 =1.3 | (i said) 4/2.25 =1.7(repeating) | (he said) 16/9 =1.7(repeating)... Get It? Good! Get Out House!
is anyone else cramming for tomorrow's finals?
this is confusing ):
where the fuck is the volume?
it looks like gibberish
I thought this was going to help me learn to find the foci in a hyperbola. But it doesn't! If your going to make a video about hyperbolas, then don't talk about ellipses.
Nikki Kali I was looking for the same thing
Tsukiko Kutamora were you able to find the foci from this video?
Nikki Kali I didn't
Bad
you are really struggling with your wording here. when making educational videos for the whole world, you oughta at least practice the ones you struggle with.