You did better at explaining the topic than my professor and for that I am grateful, because none of the videos reccomened by him made me understand the concept behind the Washer method topic. In fact,I will send him your channel, so that he can recommend you to future students that may find this topic confusing or difficult. Thank you and God bless!
You're very welcome! Glad the videos are helpful for you. And thank you for the kind feedback and for spreading the word. That is very much appreciated! :)
Thank you for this video. you go into excruciating detail about how the position of the rotating axis affects the outer and inner diameter functions. I had to watch it about 3 times over to make sense of it. I wouldn't have got it if not for this.
You're welcome! Adjusting the inner and outer radius based on revolving around lines that are not the x or y axis was something I struggled with when I first learned calc 2, so I wanted to make sure to cover it really well in this video. Glad I could help :)
Thanks for such a great video. I was confused when this was explained in class but the way you have explained me was just perfect. Hope your channel grows
Thank you so much Josh for creating these amazing videos!! I am so glad I found you early on in the semester as I'm taking Calc 2, you've been more helpful than my teacher and more helpful than the common channels people usually recommend for math help!
You're very welcome! Thanks for taking the time to let me know, I'm glad that the videos are helpful for you. If you ever have any questions, please don't hesitate to ask. And feel free to spread the word! :)
With rotating about lines other than the x or y axes, I teach it a little differently because students tend to forget the addition and subtraction rules for R(x) and r(x). Instead, I tell them to turn it into an equivalent solid of revolution problem so that it becomes rotation around the x or y axis (which they already learned). Just translate the R(x) and r(x) by the distance between the given axis and the x-axis (or y-axis). In your first example (part a), students would get a new R(x)= x-1 and r(x)=sqrt(x)-1. Since these are just the negative of the expressions in your example, squaring makes them equivalent to the integrand in your work. Anyway, it's a stylistic preference and neither approach is "better". I just find it easier to teach this way. Great job on the entire video!
I had watched a couple of videos on this, your explanation is the best so far and easier to understand. Thank you for making this much easier for students!
Thank you, glad to help! I hope to continue to do this long-term, as there are a lot of math courses I want to cover, but I have some work to do before the channel and these videos support themselves. That's the goal though! Appreciate your support :)
These lessons of how to calculate the volume using disk method washer method etc.... I never understood these concepts but when I found you I felt like I became like the best person that can solve these thanks for doing these videos and also when I finish calc 2 I hope your playlist on calc 3 would be finished and after finishing calc 3 I hope you finish your playlist on abstract algebra so that if I don't understand a concept in college may be I would look for your videos Thanks keep the hard work you are the best. 😊😊
Awesome! Glad to know these videos have been able to help you and give you confidence in solving these types of problems. I will return to working on finishing my Calculus 3 playlist this summer, so there is a chance I'll have it done in time for when you take the course. We'll see! :)
@@JKMath oh, take your time on making the calc 3 videos cause calc 2 is so hard so it would take me a lot to finish it but because in college there are some concepts that I can't understand them so that's why I wanted you to make your calc 3 playlist done but for now just take your time. :)
HOLY MOLY BRO, thanks u so much the only thing I needed here was the adjustment of radius since our professor didn't explain it that much as the only example he showed us was when the region is located below the axis of revolution.
Glad I could help! It can be frustrating when the radius adjustments are skipped in lessons on the washer method. It seems to be a common thing that is overlooked, so I made sure to highlight it in this video :)
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Holyyyyyyyyy. I don't understand why it only has 100 likes. It solved all my questions detailed explication and clear pictures. Thank you so much!
You're very welcome! Glad to help :)
You did better at explaining the topic than my professor and for that I am grateful, because none of the videos reccomened by him made me understand the concept behind the Washer method topic. In fact,I will send him your channel, so that he can recommend you to future students that may find this topic confusing or difficult. Thank you and God bless!
You're very welcome! Glad the videos are helpful for you. And thank you for the kind feedback and for spreading the word. That is very much appreciated! :)
This is an amazing video that clarifies so much confusion I have had for the past few days. Definitely a life saver here!
Thanks for sharing this, glad to know the video was helpful! :)
Thank you for this video. you go into excruciating detail about how the position of the rotating axis affects the outer and inner diameter functions. I had to watch it about 3 times over to make sense of it. I wouldn't have got it if not for this.
You're welcome! Adjusting the inner and outer radius based on revolving around lines that are not the x or y axis was something I struggled with when I first learned calc 2, so I wanted to make sure to cover it really well in this video. Glad I could help :)
Thanks for such a great video. I was confused when this was explained in class but the way you have explained me was just perfect. Hope your channel grows
You're welcome! Happy I could help :)
Thank you so much Josh for creating these amazing videos!! I am so glad I found you early on in the semester as I'm taking Calc 2, you've been more helpful than my teacher and more helpful than the common channels people usually recommend for math help!
You're very welcome! Thanks for taking the time to let me know, I'm glad that the videos are helpful for you. If you ever have any questions, please don't hesitate to ask. And feel free to spread the word! :)
You are an underrated teacher !!
The best video for this topic as far as i saw
Thank you! Glad to help :)
With rotating about lines other than the x or y axes, I teach it a little differently because students tend to forget the addition and subtraction rules for R(x) and r(x). Instead, I tell them to turn it into an equivalent solid of revolution problem so that it becomes rotation around the x or y axis (which they already learned). Just translate the R(x) and r(x) by the distance between the given axis and the x-axis (or y-axis). In your first example (part a), students would get a new R(x)= x-1 and r(x)=sqrt(x)-1. Since these are just the negative of the expressions in your example, squaring makes them equivalent to the integrand in your work. Anyway, it's a stylistic preference and neither approach is "better". I just find it easier to teach this way. Great job on the entire video!
I had watched a couple of videos on this, your explanation is the best so far and easier to understand. Thank you for making this much easier for students!
You're welcome! Glad to help :)
Amazing video. Thank you for putting in the amount of effort that you do. I, and many others, truly appreciated it.
You're welcome! I appreciate the feedback, glad I can help :)
Thank you very much for your explanation, especially for not leaving out any details regarding the topic.
You're very welcome!
Good explanation continue your teaching on utube. Math forever.
Thank you, glad to help! I hope to continue to do this long-term, as there are a lot of math courses I want to cover, but I have some work to do before the channel and these videos support themselves. That's the goal though! Appreciate your support :)
These lessons of how to calculate the volume using disk method washer method etc....
I never understood these concepts but when I found you I felt like I became like the best person that can solve these thanks for doing these videos and also when I finish calc 2 I hope your playlist on calc 3 would be finished and after finishing calc 3 I hope you finish your playlist on abstract algebra so that if I don't understand a concept in college may be I would look for your videos
Thanks keep the hard work you are the best. 😊😊
Awesome! Glad to know these videos have been able to help you and give you confidence in solving these types of problems. I will return to working on finishing my Calculus 3 playlist this summer, so there is a chance I'll have it done in time for when you take the course. We'll see! :)
@@JKMath oh, take your time on making the calc 3 videos cause calc 2 is so hard so it would take me a lot to finish it but because in college there are some concepts that I can't understand them so that's why I wanted you to make your calc 3 playlist done but for now just take your time. :)
Dude this video is soo helpful! You Rock!
THANK YOUUUUUUU, Best RUclips explanation
Bro you make fire videos please keep this up!!
Thank you! Glad you enjoy the videos. Feel free to share them with others! :)
best video ever:) Hard to find good info about this!
you made it easy !
HOLY MOLY BRO, thanks u so much the only thing I needed here was the adjustment of radius since our professor didn't explain it that much as the only example he showed us was when the region is located below the axis of revolution.
Glad I could help! It can be frustrating when the radius adjustments are skipped in lessons on the washer method. It seems to be a common thing that is overlooked, so I made sure to highlight it in this video :)
UR THE BEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
thank you so much for this amazing video, I love your explanation it's so easy to understand, deeply appreciate it!
You're very welcome! Glad to help :)
Thank you very much❤
Thank you very much...🎉😊😊😊😊😊
THANK YOUR THANK YOUUU
Thank you very much..I now understand how to get the inner radius and outer radius
You're welcome! Glad to know the video was able to help you :)
underated indeed!!!
Thank you😢😢😢
THANK YOU
You’re welcome!
savior
I love you