There is a common situation where we cannot use a vertical rectangle and are forced to work in terms of Y due to the wording of the problem. I just had my test, and in the question, I was told which method to use on the given rotated region. For both disk/washer and cylindrical shells I had to draw horizontal rectangles. The tip is still great, but there are times where it does not come in handy.
The live in class videos of yours are way more interesting and involving, it feels like I am in the class. In general, all of your videos are great though!
I know this is late so I’m commenting for those who have the same question. P(x) or R ( radius ) as others call it, varies. Since it varies it’s represented as X. Sometimes axis of rotation is farther away so it’s p(x)= #-x. Hope this helps those in the future. He explains it at 12:00
the only useful video on this topic on youtube
Thank you, prepping for calc 2 final tomorrow. This helps a lot!
good luck on your final!
Did you pass?
Thank you so much! This entire topic just became so much clearer.
this deserves way more views
thank you so very much, you have no clue how much you just saved me
This is the greatest Calculus tip! Thank you very much!
After 4 years thank you so much
There is a common situation where we cannot use a vertical rectangle and are forced to work in terms of Y due to the wording of the problem. I just had my test, and in the question, I was told which method to use on the given rotated region. For both disk/washer and cylindrical shells I had to draw horizontal rectangles. The tip is still great, but there are times where it does not come in handy.
best explanation yet
absolutely electric video!!!!
Thank you!!
The live in class videos of yours are way more interesting and involving, it feels like I am in the class. In general, all of your videos are great though!
wait so can you always choose vertical rectangles? What's the point of even bringing up horizontal rectangles if there's no need to use them
Nice vedio
I don't get clearly how p(x)=x
I know this is late so I’m commenting for those who have the same question.
P(x) or R ( radius ) as others call it, varies. Since it varies it’s represented as X.
Sometimes axis of rotation is farther away so it’s p(x)= #-x.
Hope this helps those in the future.
He explains it at 12:00