thanks for all the great videos sub. I think I speak for all engineers and everyone else that had to take a math course this year that you singlehandedly made this year of online more bearable.
For question 12, the graph is a little misleading. The bottom curve should touch the origin. It should not touch the positive y-axis in any way. The work is fine though. For question 14, the cross product between r'(t) and r''(t) should be not . The norm is still right though. For question 20, I wrote 1+y' instead of 1+(y')^2. The work is still fine though. I did calculate 1+(y')^2 but I wrote 1+y' by accident. For question 5 at 41:25, there should be a factorial on the numerator. Answer is still right.
Professor Math for Thought, thank you for the Calculus Two final exam review, however, part of your Playlist goes into Calculus Three problem selection. I have tutored Calculus Two and students struggle with Calculus Two. Instead of Calculus Three problems, there are many more topics in Calculus Two that could be covered in your lengthy Playlist.
Thanks so much for your video! I have one question with the question 1. How do you know the absolute value of (x+1) is smaller than 1? I think the question doesn't give out the range of x.
It's honestly amazing how he's able to teach better than most of the profs that are paid to teach. People like you deserve way more.
thanks for all the great videos sub. I think I speak for all engineers and everyone else that had to take a math course this year that you singlehandedly made this year of online more bearable.
For question 12, the graph is a little misleading. The bottom curve should touch the origin. It should not touch the positive y-axis in any way. The work is fine though.
For question 14, the cross product between r'(t) and r''(t) should be not . The norm is still right though.
For question 20, I wrote 1+y' instead of 1+(y')^2. The work is still fine though. I did calculate 1+(y')^2 but I wrote 1+y' by accident.
For question 5 at 41:25, there should be a factorial on the numerator. Answer is still right.
Hugely appreciated! Your videos have helped me through all my first year math courses
So grateful for your videos! Don't know where I would be in math without them!
Thank you so much for your time and dedication this year. 😃😃
Thank you so much for the videos, do you have plans to make a Math 209 playlist?
Excellent Review. Hope to have you for calculus III as well!
Absolutely! It will be a little slow though but for sure!
Professor Math for Thought, thank you for the Calculus Two final exam review, however, part of your Playlist goes into Calculus Three problem selection. I have tutored Calculus Two and students struggle with Calculus Two. Instead of Calculus Three problems, there are many more topics in Calculus Two that could be covered in your lengthy Playlist.
Are you going to be covering Linear Algebra in time for the final as well? Appreciate you
Obviously.
@@MathforThought You are a God among men. I am eternally grateful!
Thank you for carrying my grade for calc I and II!! It'd be awesome if you started a series for calc III TOO :)
I will after linear algebra!
@@MathforThought When will you start your Calc III series?
23:43 and my brain is already going brrrrrrr with the sneaky
(i have a final in 2 days god help me)
Really great video, thank you!!
Thank you cloudy! :)
link da goat
truly the GOAT
You are a life saver
Thanks so much for your video! I have one question with the question 1. How do you know the absolute value of (x+1) is smaller than 1? I think the question doesn't give out the range of x.
According to the ratio test, the limit will always converge when L
@@MathforThought Thanks for your reply! Sorry I didn't read the question carefully enough.lol
Why is it that we use ii at n=0 and n=1 rather than i in example 7?
No reason. It's easier to work with. You could have used the other one and shifted to negative indices but I don't like doing that.
Thanks Cloudy
In example 14 for a and b in the cylinder equation, can they be anything????
As long as it parametrizations are valid, then yes.
@@MathforThought thanks
for the surface area on question 20, do we not have to square the y' ? at 2:19:24
Read the pinned post.
how is T(pi/2) is -1,0,1 in example 17?????? i am quite lost on that.
nevermind got it now haha
this video helped so much.. thank you sub
goat
elite