first off you have a very pleasant voice, secondly I tried many articles and the videos my teacher posted and asked him and your video/you were the only one that got me the correct answer and a simple way to get it everytime, thanks so much! I watched this vid once and got it right everytime. Clear, easy to follow, you take time and don't speed through the steps.
If I understood pretty well, I'm sure that this is your explications who did the job, I'm not especially good in english but your explain just what needed, and step by step. I thank you again, and I actually share your channel when my mates are in troubles with mathematics, or just to learn things for culture :) . Good luck for the rest.
Awesome!! Thank you so much... I'm soooo impressed with you for being able to understand something so complicated that's explained in a foreign language... amazing! :D
differentiating the volume function tells you that you're going to be able to find critical points of that function. you then use the first derivative test to see if those critical points represent maxima or minima. :)
I was trying to get something, but I didn't.I was seeing your video, but because I'm french, I was scared about understand something mathematic in english, but finally not! You do such a great job and I thank you for that :) Liked and suscribed!
Very interesting, thank you. I’ve tried the following problem without success, perhaps you could use it in a future video. A Christmas tree has a certain base diameter and height (or slant height) Christmas lights of a set length are to be wrapped around the tree equally spaced height wise. If the length of lights is devided into 10 parts, how high up the slant height should each division be. It would make Christmas decorations so much free of stress! With thanks Colin Smith
A few queries: 1.Is it possible to differentiate the same equation twice and then solve? 2.How do you find out on looking at a question and see if it has to be differentiated once or twice?
Oh, oops, haha! It took me til the end of the video to figure out exactly what shape of cup you were talking about. I thought you were building a cone that essentially had a sector-shaped fold into it such that its cross-section parallel to the base was a circle with a sector cut into it. I see now that you are building a cone by STARTING with a circular piece of paper with a sector cut from it and joining the two edges of the sector to close the sector gap and thus make it a cone. (Sorry if that didn't make sense.) In retrospect my original conception of the problem was hilarious because I was thinking, "Why would you want to make a cup like that??" Haha! It's interesting, by the way, that the trickiest part about these optimization problems is often algebraic manipulation. Once you manage that, the Calculus is easy!
Hi, amazing video, I was just curious, is there a way to prove that the formula will always yield the maximum volume? It was derived from the formula for the volume of a cone, how do you know this will solve for the maximum volume? Thank you, I hope you can help me!
okay so I am doing a homework piece where I calculate the maximum volume of a shape made from an A4 piece of paper I used this but the answer I got was a very large answer I assume the answer I got wasn't squared so would I just square root it to get the answer in 2 dimensions?
I know this was a very long time ago, but when you solved for height, is the height that you solved for the height of the cone that holds the maximum volume?
What if the section is not cut? and the cone is cut to the center which could curl up and could change the height and radius. How do I find the radius of the maximized volume of a cone? and the max volume of it ? thanks I don't know if it matters.
How do you change the formula of the volume so that its in terms of theta and not R? I have a similar question about maximizing the volume of the cone in Calculus.
I would have thought that the max volume also depends on the angle at the center of the sector which is cut out. The smaller the angle, the shorter the cone. Likewise the bigger the angle, taller the cone. Why did this not come into play?
I still don't understand how the original radius R relates to the height of the cone? How did the radius of a circular piece of paper also become the height of the cone?
Thank you for this video! I have a programming problem that is asking me what the length of AB should be to get the maximum volume. Although this video doesn't do that exactly, it completely helped me understand the relationship between all of the different parts and I'm confident now that I can figure out the rest on my own. Thank you again!
first off you have a very pleasant voice, secondly I tried many articles and the videos my teacher posted and asked him and your video/you were the only one that got me the correct answer and a simple way to get it everytime, thanks so much! I watched this vid once and got it right everytime. Clear, easy to follow, you take time and don't speed through the steps.
Thank you so much, Pure, I'm so glad this helped! :D
You have a very soft voice which is comfortable for the ear. You seem to explain in a nice and understand way thanks vincent
If I understood pretty well, I'm sure that this is your explications who did the job, I'm not especially good in english but your explain just what needed, and step by step. I thank you again, and I actually share your channel when my mates are in troubles with mathematics, or just to learn things for culture :) . Good luck for the rest.
Awesome!! Thank you so much... I'm soooo impressed with you for being able to understand something so complicated that's explained in a foreign language... amazing! :D
differentiating the volume function tells you that you're going to be able to find critical points of that function. you then use the first derivative test to see if those critical points represent maxima or minima. :)
I was trying to get something, but I didn't.I was seeing your video, but because I'm french, I was scared about understand something mathematic in english, but finally not! You do such a great job and I thank you for that :) Liked and suscribed!
life saver, i have a calc test in 2 days and this stomps the teacher's hw answer key
Thanks, you explained it very clear, I like your teaching style
Thank you so much, I'm glad everything made sense! :)
This video just helped me finish maths assignment, thank you so much!
Rachel Davis you're welcome, i'm glad it helped!
I had a homework question exactly like this haunting me. You explained it so well! Thank you!
Awesome! I'm so glad I could help. :)
You explain this so clearly and so simply. Thank you for the help!
+Pamela Martin You're welcome, I'm glad it made sense!
Hey I've been watching your tutorials all day long. Super clear explanations, neat works, and love your voice. Definitely subscribed!
Awesome, thanks! :)
Grt explanation 💯✌
Thanks 🙂
Glad you liked the explanation! :)
Very interesting, thank you. I’ve tried the following problem without success, perhaps you could use it in a future video.
A Christmas tree has a certain base diameter and height (or slant height) Christmas lights of a set length are to be wrapped around the tree equally spaced height wise. If the length of lights is devided into 10 parts, how high up the slant height should each division be. It would make Christmas decorations so much free of stress!
With thanks
Colin Smith
You are amazing for solving this specific problem!
:D
AWESOME!! I'm so glad it helped!! :D
Thank you you just helped me from fFail
Tou are extrem fantastic teacher and iam benefit from you
+ismail ahmed Thank you very much!
Youve earned my subscription.... well done!
Yes! :)
You're so welcome! :)
A few queries:
1.Is it possible to differentiate the same equation twice and then solve?
2.How do you find out on looking at a question and see if it has to be differentiated once or twice?
I am shooketh by this question.
Its much harder to start with the radius of the sector it seems....
You did an amazing job explaining this problem. I thank you very much. and you look pretty ;)
I've loved this!!!
Thank you soooo much, this really helped me, EXACTLY what I was looking for
This video was so helpful, thank you!
You're welcome, Dara! I'm so glad it helped! :D
Perfect explanation! Thank you!
I'm so glad you like my teaching style! :)
the hardest part about this subject is just visualizing the problem
Oh, oops, haha! It took me til the end of the video to figure out exactly what shape of cup you were talking about. I thought you were building a cone that essentially had a sector-shaped fold into it such that its cross-section parallel to the base was a circle with a sector cut into it. I see now that you are building a cone by STARTING with a circular piece of paper with a sector cut from it and joining the two edges of the sector to close the sector gap and thus make it a cone. (Sorry if that didn't make sense.) In retrospect my original conception of the problem was hilarious because I was thinking, "Why would you want to make a cup like that??" Haha!
It's interesting, by the way, that the trickiest part about these optimization problems is often algebraic manipulation. Once you manage that, the Calculus is easy!
+alkankondo89 Couldn't agree more! And it is pretty funny what you thought about the cup!
I'm curious about the angle a that was cut out of the circle what would be the optimal angle and how would we find it
Thank you so much! this video is really helpful!! thanks again!!
+Read You're welcome, I'm so glad it helped!
My lifesaver...
Hell yeah thank you!
:D
Hi, amazing video, I was just curious, is there a way to prove that the formula will always yield the maximum volume? It was derived from the formula for the volume of a cone, how do you know this will solve for the maximum volume? Thank you, I hope you can help me!
This was so helpful thank you!!
You're welcome, Benjamin! I'm so glad it helped! :D
Nice. As always
Thank you so much!!
You're welcome!
Great great. May I know what application do you use for this chalk board screen?
Hey, Seng! It's called Sketchbook. :)
@@kristakingmath Thank you, Krista.
okay so I am doing a homework piece where I calculate the maximum volume of a shape made from an A4 piece of paper I used this but the answer I got was a very large answer I assume the answer I got wasn't squared so would I just square root it to get the answer in 2 dimensions?
I know this was a very long time ago, but when you solved for height, is the height that you solved for the height of the cone that holds the maximum volume?
What if the section is not cut? and the cone is cut to the center which could curl up and could change the height and radius.
How do I find the radius of the maximized volume of a cone? and the max volume of it ? thanks
I don't know if it matters.
Thank you.
You saved me!
Thank you very much
nombuso winnie You're welcome!
How do you verify this is a maximum with derivatives?
thank you for this, but how can i make capital R the subject of the formula instead?
how can we find volume enclosed by black hole using integration
Nice!! But what if I was told to find the dimensions that will yield the max volume? Do I optimize the surface area of the cone?
Well, I love it!!! :D
:D
what about cone connect with cylinder ?
How do you change the formula of the volume so that its in terms of theta and not R? I have a similar question about maximizing the volume of the cone in Calculus.
I really like her explanation but that "Hi everyone" at the start is like a wake up call.
I would have thought that the max volume also depends on the angle at the center of the sector which is cut out. The smaller the angle, the shorter the cone. Likewise the bigger the angle, taller the cone. Why did this not come into play?
Hi Mrs
I have some questions
Would I ask you ?
GODBLESS U! thanks!
Is it possible to find the angle 'a' from the circle?
+1nfinite999
just plug a random number.. Say 1= R then work your way backward to find the ANGLE of the CONE.
how do u know when we differentiate volume (dv/dh) we know we are finding its maximum?
Awesome. What equation for theta gives the greatest Volume?
Show it through trigonometry?
very nice I like so much.
I still don't understand how the original radius R relates to the height of the cone? How did the radius of a circular piece of paper also become the height of the cone?
I watched a arts and crafts video for making a cone hat out of construction paper and identified the relationship.. lol
Thank you for this video! I have a programming problem that is asking me what the length of AB should be to get the maximum volume. Although this video doesn't do that exactly, it completely helped me understand the relationship between all of the different parts and I'm confident now that I can figure out the rest on my own. Thank you again!
Oh good! I'm so glad it helped, and nice job thinking outside the box and finding that arts and crafts video to help! :)
Beautiful voice
This was on the calc final I wrote tonight. Why oh why did I not see this before tonight :(
Doh! I hope it still went well for you.
Now before my exams Im gonna watch every single one of ur vids.
Why don't we need to differentiate the final function again to find out when V' equals to 0? Very nice video btw.
Your method gives the max volume, but it doesn't show how to construct it - - that is, it doesn't show what angle to cut out of the disc.
My apologies but the timing of the subtitle is not correct. Please fix it thank you..
Question: if the question was to find which angle 'a' generates the maximum volume, how would you proceed once you've found the value for 'h'?
You can find the angle by taking the Arc Tan of {r / h}
You look SO good👍😎 🥰🥰😍😘😘
Extremely unrelated but she should try asmr videos out on a separate channel
Thanks! now hopefully I don't fail my exam tomorrow XD
Good luck!
nice :)
Thanks!
+Krista King my plasure 😊
only 1% of watches like/dislike
This is your worst video because you're not in it.
you take tooooooooo long to explain shorten it up
thank you for this, but how can i make capital R the subject of the formula instead?