- 27
- 115 926
LearnPlaySolve
United States
Приєднався 16 вер 2020
Відео
What's the Largest Ball You Can Fit In A Parabolic Vase?
Переглядів 79511 місяців тому
What's the Largest Ball You Can Fit In A Parabolic Vase?
Gabriel's Horn & The Painter's Paradox
Переглядів 6 тис.Рік тому
Gabriel's Horn & The Painter's Paradox
Can You Make Any Number Using Exactly 4 Fours?
Переглядів 798Рік тому
Can You Make Any Number Using Exactly 4 Fours?
The Power of Exponentials: Two Demonstrations
Переглядів 602Рік тому
The Power of Exponentials: Two Demonstrations
Projectile Motion: A Vector Calculus Problem
Переглядів 9 тис.Рік тому
Projectile Motion: A Vector Calculus Problem
Breaking the Cycloid: A Geometry Problem
Переглядів 18 тис.Рік тому
Breaking the Cycloid: A Geometry Problem
Logarithm & Blues: An Introduction to Logs
Переглядів 1 тис.3 роки тому
Logarithm & Blues: An Introduction to Logs
Which is Greater? A Calculus Problem
Переглядів 1,4 тис.3 роки тому
Which is Greater? A Calculus Problem
What's the Volume of a Donut? Calculus
Переглядів 27 тис.3 роки тому
What's the Volume of a Donut? Calculus
A Quick Proof of the Pythagorean Theorem
Переглядів 9893 роки тому
A Quick Proof of the Pythagorean Theorem
The Catenary: A Vector Calculus Problem
Переглядів 8 тис.3 роки тому
The Catenary: A Vector Calculus Problem
Im confused why the arc length of the circle = the = x+a
Buen vídeo. ua-cam.com/video/co23oGDaH5k/v-deo.html
Good yar!! Very nice animation and explanation
Nice video, but i don’t understand What we have : 2 pi […] sqrt 1+ (-1/x**2)**2. At the start for the surface.
I'm sorry, I wish I understood your question. Would you mind restating it?
thanks for the video
this is a birds eye view, or 'from above' view
Oh wow! This channel looks GREAT!!! Funny thing: I clicked on the video thinking the guys in the thumbnail were carrying a sofa. Hahahahahaha. So I was expecting to see something about the Sofa Problem and was confused because if that was the case, there is some Calculus there, but it is not a purely Calculus problem, whatever my mind means by that. Instead the video is about a particular case of the Sofa Problem. Very cool.
Amazing video
AP tests near, As I shed a tear, This Video reminded me That I’m screwed
This is much harder than anything that would be on the AP calc exam
I’m confused as to why the derivative when 0 determines the length
When the derivative is zero, the original function is either at a maximum or minimum. This is the basis for optimization problems. By setting the derivative to zero, we found the optimal length given the restraints of the problem. I explain the process in more detail in this video: ua-cam.com/video/JsiNBfcB2rg/v-deo.htmlsi=t09SSEvFGQHXSv_k
Up and Atom had a similar video a while ago, although less mathematical.
Sir, Please provide another link in description for understanding integral formulas of surface area and volume. Video was really amazing and I learned a new point of view to observe things. 🙏🙏🙏🙏🙏🙏
You forgot g...
g
If the starting and ending position are at the same level, then complementary angles will reach the same ending position.
Thanks you are the best
I SAY WE MAKE DONUTS SQUARESSSSSSS
Ya know what ya should be, a teacher, might actually help fix the fu🎉🎉in education system for once and maybe people could learn
Wow, actually learned something, my math teacher could never-
The only reason im here is because in my math class you were my substitute teacher 😅
Thanks to this video I was able to draw cycloid in code. I want the computer to slowly draw the cycloid. Before this, I just prepare all the coordinates before hand in a data structure before drawing them i.e using factory method. But it draws the cycloid but not draw it slowly. What I need to do is that: angle+=1.0f*fElapsedTime; Then update x and y coordinate And draw using those.
Liked the presentation. The amount of details is just right.
How could you calculate the point new position in the x.y plane if the circle rotates in place?
The circle does not rotate in place. It rolls along a straight line.
@@LearnPlaySolve sorry, I meant an hypothetical scenario where it rotates in place, or do you mean it gets calculated the same?
Then I suppose you could just treat it like a unit circle. Every point could be defined as (cosx,sinx).
dat ...so cool
The assumption that 1/infinity is zero is the flaw. 1/infinity APPROACHES zero but never gets there. Therefore you never actually get the volume exact either. Conundrum solved. You’re welcome.
Calculus is based on limits. It should already be understood that 1/infinity approaches zero. Saying "1/infinity is zero" is just a shorthand way of saying that. There's a formal definition and a practical definition. I always tell calculus students to think of zero and infinity as reciprocals of each other. 1/zero is infinity, and 1/infinity is zero. Even though that's not technically true, it definitely leads to a more intuitive understanding.
You are correct, 1/∞ is ε However, I do not care because it does not get me anywhere neither in practical nor pure mathematics
Let’s bring in our old friend the super task and knock this job out and head to lunch. :)
You Are Most the Underrated youtube i Ever Seen You really explained Jee advance Level Concept In Simple word You Got My Sub Bro❤ A lot Of Love from 🇮🇳India
Thank you so much! That means a lot. I have another calculus video coming very soon. 😃
Great learning experience thank you
This is the best solution I have ever seen for this for this problem, keep up the amazing work!!! Greetings from Turkey ✌🏻✌🏻
Wow, thank you for those kind words! 😃
Damn, just imagine how genius he was🤯
W sub for my 3rd period
W sub teacher
holy fuck
The integration part went too long because you didn't use hyperbolic identities, but if you used it, the proof would've been so much shorter than otherwise!!!!
That is true. But my goal wasn't to do it quickly. It was to demonstrate calculus concepts and integration techniques. I appreciate your advice. In the future, I hope to make a video about the hyperbolic trigonometric functions and identities.
Wow. This is so much easier with calculus. Im in a calc based physics class, and we aren't using calc. Just algebra. This makes way more sense to me.
Interesting 😂
This was amazing
Fun fact:although the volume is π it is impossible to fill as it would never get the the bottom
The paint would eventually reach terminal velocity and would not get faster but as the horn is infinitely long it cannot reach the end of it technically yes you could have enough paint to do it but it would be impossible for the paint to reach the end
Underrated af
It was a triangle.
I was working with tori for a math paper and I must say I have not found a derivation that is this well explained! Kudos 👏
I have 3 questions. 1) What changes do we have to make for a difference in height of target and cannon? 2) What adjustment would we have to make for a cannon ball of different mass? 3) how do we calculate the magnitude using something like a rubber band setup?
I don't think the mass of cannon ball matters as the value of gravitation acceleration is constant for all masses
@@suspended3785 surely a cannon with a constant propelling force won't propel a projectile with heavier mass as far as it will propel a projectile with a relatively lighter mass. I think that with the force constant, the velocity of the lighter ball will be higher than that of the heavier ball.
@@barnabasonubi336 This will be the case if you are not neglecting air resistance, drag etc. If those are neglected (like in this video) the mass of ball would not matter on the distance. Only the initial velocity matters. Ps. The range of any projectile is given by R = u²sin(2X)/g where u is the initial velocity and x is the angle in degrees and g is gravitational acceleration.
@@suspended3785 Is there a way I can share a video of this experiment with you, so you see what I'm saying? What I'm using is a catapult setup
@@barnabasonubi336 upload it on UA-cam
16:00 really?!
😉
I just didn't understand why x+a is the same as the arc length of the circle. 2:31
Same bro
You could take that line segment (x+a) and wrap it along the circle, it would equal that specific arc length. We know this because the circle rolled along that same line segment without slipping
@@LearnPlaySolveyeah, so since the circle rolled without slipping, all of its points touched the line, forming a segment which is, by definition, is the arc length.
why x=rsin theata not rcos?
Either one would work. I just like to end up with a positive derivative.
You did a greate job on this video and explanação!!!
Thank you 🙏
Why is there a phi in next to the intergral at 01:23 (my friend ask me[were at the debate situation])
That's the formula for the volume of a solid of revolution. When integrating solids of revolution, you are essentially adding up an infinite number of circles (or infinitely thin cylinders). The area of a circle is πr^2, so it makes sense that their sum would also contain π. When you factor the π all the way out of the integral, that's the formula you get.
Thank you, trying to calculate the parabola for a shell in my game not irl thank you
Thank you :)
this is the clearest explanation by far
Thank you 🙏
great video man