Graphing Conic Sections Part 1: Circles

Рет қаралды 125,112

6 жыл бұрын

We've graphed tons of lines, but now it's time to graph more complex figures. Conic sections, which are literally cross-sections of a cone, will be important to be able to graph. Let's learn what these conic sections are, and learn how to graph them one by one, starting with circles.
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Пікірлер: 64

@omnibrain8 5 жыл бұрын

Your explanations are explicit.I like your teaching strategies.This was confusing but you made it as easy as A,B,C.Thank you,Prof Dave.

@tensaijuusan4653 2 жыл бұрын

So happy I found this site - can't wait to try some of the other subjects.

@user-ff6gf8gk5m 8 күн бұрын

You’ve made it easier for me. I never understood it in class. Keep the flames high

@dharvishdewa9313 6 жыл бұрын

Why didn't i find you earlier!!!!!!!

@rakeshbarua750 3 жыл бұрын

Sir, you are the best. I have no words to thank you. Sir go forward. We are always with you to support you😘😘

@ComputerCurry 2 жыл бұрын

You did a great explanation. Thank you.

@Raj_Shekhar_Bakshi_music 2 жыл бұрын

Thank you professor!💗

@curtpiazza1688 2 жыл бұрын

Great review!

@knight666mare 2 жыл бұрын

Thank you so much prof.

@KiaGGgame 4 жыл бұрын

Thanks professor Dave, I wish I would find you early.

@gandhipolai861 6 жыл бұрын

Thanks professor ... 🤗🤗🤗

@fansompualno1659 9 ай бұрын

Thank you so much prof

@niya4702 4 жыл бұрын

Thanks professor

@bipulkshorts2004 2 жыл бұрын

It's really amazing and easy way to teaching.thank you sir love you sir.

@F00dMee 3 жыл бұрын

Your lessons are much easier to understand

@zeannejoylabadia222 5 жыл бұрын

Thanks a lot

@amnaqureshi6046 2 жыл бұрын

Thanks!

@samiulhaquesiddique4886 3 жыл бұрын

Thank you so much Sir..I don't know how to express my gratitude.

@crane8035 3 жыл бұрын

What the

@mathscourage1446 5 жыл бұрын

How can show its focus in double napped cone if cross section in cone

@shirazmathsphysicsacademy 4 жыл бұрын

Great teacher

@shantanusrivastava9744 3 жыл бұрын

Thank u😭😭😭😭😭 U are a blessing😭😭😭😭😭

@assadullah7816 3 жыл бұрын

Thanks sir

@wrox9684 4 жыл бұрын

how on earth does this video only have 14k views!! also why didnt i find you earlier!!

@user-mh9eh2wl5n 3 жыл бұрын

بارك الله فيكم وجزاكم الله خير الجزاء

@multimeme5935 5 ай бұрын

من العراق ؟

@CHEESYhairyGASH 6 жыл бұрын

legend

@tGoldenPhoenix 2 жыл бұрын

Done this lesson.

@MrA-ou1xd 2 жыл бұрын

Can we compute the eccentricity of the conic sections????

@anilkumarsharma8901 Жыл бұрын

which part show its inclination coefficient

@salah1x 2 жыл бұрын

6:06 what do u mean add numbers on the right highlighting 36 and getting r = 6 ??? where did the 6 come from??

@Teiwaz111 2 жыл бұрын

Compare to base formula of: (x - h)² + (y - k)² = r² (x + 2)² + (y - 3)² = 36 Therefor: h = -2 (or -h = 2) k = 3 (or -k = -3) r² = 36 (or r = 6, as you take the square root to get r)

@habibulalamasif9137 3 жыл бұрын

0:34 national flag of Bangladesh 🇧🇩 😂😂

@carultch Жыл бұрын

Does the flag of Bangladesh refer to the sun rising in the jungle?

@tanishaguptacse2032 6 жыл бұрын

Is there any way to know the coordinates of centre and radius of circle from the other form of equation

@ProfessorDaveExplains 6 жыл бұрын

nope you have to complete the square!

@gyaneshwarigunaseelan2575 6 жыл бұрын

You could always get it from the standard second degree curve equation

@tanishaguptacse2032 6 жыл бұрын

Thnx professor

@audreychoi8797 4 жыл бұрын

actually you can memorise the general form of equation of circle (x2+y2+Dx+Ey+F=0) h= -D/2, k= -E/2, r= √ ( (D/2)^2 + (E/2)^2 - F ) e.g. x2+y2-6x+10y+18=0 (D=-6, E=10, F=18) coordinates of the circle (h,k) = (3, -5) radius r = 4

@americanborn6768 4 жыл бұрын

PDE = PDE, so Prof. Dave Explains is a Partial Differential Equation

@adflicto1 3 жыл бұрын

@cerulean97 3 жыл бұрын

why did I find this just now lol

@ivoryas1696 2 ай бұрын

I'm noticing a _distinct _*_lack_* of "needed this for a class"... Any explanation as to why these are skipped in most programs? Are they just _that_ niche?

@ProfessorDaveExplains 2 ай бұрын

No most people learn this in algebra 2

@ivoryas1696 2 ай бұрын

@@ProfessorDaveExplains Oh... I suppose I just had a lower standard in highschool. 😅 All the better that I'm subscribed I guess!

@okayami8099 Жыл бұрын

Thankyou math jesus

@sehrishsehr8019 5 ай бұрын

Lol

@jasparevarhart1332 6 жыл бұрын

Can I get some quasicrystal mathamatics with my methodology, kind sir..?

@TheLethalDomain 3 жыл бұрын

So you're seeking crystal methodology.

@cat-uq5hw 3 жыл бұрын

@@TheLethalDomain LMAOOOO

@gabrielrojas8718 4 ай бұрын

❤

@jedidisciple917 3 жыл бұрын

Go until 1:30

@shirazmathsphysicsacademy 4 жыл бұрын

e is a ratio how e is equal to zero for a circle

@carultch Жыл бұрын

The numerator of the eccentricity of an ellipse is the distance between the foci. The circle is a special case of an ellipse, where the two foci coincide at one point, called the center. Therefore, the numerator equals zero.

@thatdragond6452 2 жыл бұрын

The intro

@n.v.n.prasad132 Жыл бұрын

N. V. N. Prasad

@Martin.Krischik 6 жыл бұрын

Your initial definition on parabola immediately made me think: If you make the cone bigger and move the bases further away would not every parabola eventually become an ellipsis? Only later you mentioned e=1 and it became clear the the parabola is parallel to the side and will always cut through the base no matter how big the cone is. But you did not mention that.

@ProfessorDaveExplains 6 жыл бұрын

hmm i'm not sure i understand what you mean! a parabola can never be an ellipse because an ellipse does not intersect the base of the cone. a parabola is not parallel to anything, only a circle is parallel to the base.

@Martin.Krischik 6 жыл бұрын

_“because an ellipse does not intersect the base of the cone.”_ - just make the cone small enough then ellipse does intersect the base of the cone. iE. when the diameter of the base is smaller then mayor axis of the ellipse. You implicitly assume a sufficiently large cone. _“ parabola is not parallel to anything,”_ The parabola must be parallel to the opposite side to cone. Consider an infinite large cone. The parabola would need to cut through that infinitely far away base as well. Found this picture as well: blogs.adelaide.edu.au/maths-learning/files/2016/07/lineatinf-8.png blogs.adelaide.edu.au/maths-learning/files/2016/07/lineatinf-9.png Note the middle cone in the 2nd picture.

@ProfessorDaveExplains 6 жыл бұрын

What you're saying contradicts the definition of an ellipse. An ellipse cuts across the cone with the same certainty that a square has four sides. You can't make a shape that contradicts the definition of that shape, it won't be that shape. It's like you're trying to draw a three-sided square. It's a triangle. If the shape intersects the base of the cone, it's a parabola, by definition. Also, there is no such thing as an infinitely large cone. No shape can be both infinitely large and have defined dimensions, because edges are boundaries, and something that is infinite does not have boundaries. I think you're working a little too hard to undo basic logic on this one.

@djsnowman06 5 жыл бұрын

What you saying makes sense with a finite base but this model assumes two infinitely extending cones. The eccentricity is kinda like a measure of the angle between the base and the slope of the cone. 0 being parallel with the base and 1 parallel with the slope. If our cones extend infinitely, then the eccentricity tells us if our slicing plane will intersect our infinitely far away base, and consequently the conic shape we are working with You cannot move the base to make an ellipse into a parabola.