Volumes of Revolution - Disk/Washers Example 3
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- Опубліковано 10 жов 2008
- Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! In this video, I use the same region from part 1, but now I rotate the region about the line y = 5.
For more free math videos, visit PatrickJMT.com
I understood it when my teacher explained, then a couple days later I couldn't even come close to understanding it. Your video explained it perfectly ty
"sorry for all the colors here" nigga the colors are what made me understand
you've explained in 2 minutes what my prof couldn't explain in 3 hours. amazing
Thanks! My UT professor recommended you as an outside source. So glad I looked up your vids! You saved me dude. :)
Perfect! Tell them to license my videos and I will taylor make them to help UT students do much better. Large lectures halls + Quest are not optimal IMO.
Will do! And I totally agree, Quest is my mortal enemy.
glad it helps. i have a couple other videos of this on my website that are hosted through google and are a bit longer
@shrubbery402 great! glad you and your teacher found it useful
Thanks for making this SO much more simpler. Never understood it in high school, barely understood it here at UT Austin, but now I got it. Beautiful.
Thank you so much. Thanks to your videos I am able to understand my HW better and am able to reduce my stress. Thank you so much. God bless you
thank you so much for showing this. it looks so clear and is much easier than what my pro. explained. very helpful
Brilliant explanations! I love that you included all the cases.
My calculus teacher showed us this video series in class. It was extremely helpful in understanding the material. Thank you very much for posting!
this is amazing. i wish i discovered this at the beggining of the semester rather the end. thank god for you guys, wish there were more professors like you
I don't usually ever like or comment on UA-cam videos, but Patrick, you really helped me a lot in my first year with Calculus I and II, thank you so much man! I find your videos to be more helpful and clear than some of the one's on Khan Academy to be honest lol
YOUR EXPLANATION IS AWESOME. I LOVE THE WAY YOU SOLVE THE PROBLEM.
Once again, ur videos have saved me. My lazy teacher hasn't been showing up to class and is making us teach ourselves several sections. I would be failing for sure if not for you!
He should be reported
@TheImran826 typically the graph is not given, and likewise you do not have to draw it. i just find it is easier to use a graph whenever possible
Thank You! I credit you for helping me getting A's in my Cal classes.
Thank you for making my course so much easier to get through!
my teachers always recommends your website!
it helps when i hear it a lot :)
I LOVE YOU SO MUCH! I HAVE A TEST TOMORROW, AND I WAS ABOUT TO GIVE UP, BUT YOU'RE VIDEO EXPLAINED IT ALL!!
Thank you sooo much for this video, Patrick!
Dang you helped me sooo much i spent 45min trying to figure out everything but i understood everything in 5 min thanks to your video!
Can't thank you enough. I was struggling with this until I watched these videos.
You are the greatest person ever! I honestly don't know what I would have done without you. THANK YOU, THANK YOU, THANK YOU. :D
@TheImran826 find points of intersection of the functions, take a test point, see which is furthest from the line of rotation
Oh my goodness mr. Patrick you have made my life so much more stressful you help make my homework go from 4 hrs to finishing in 1 thanks so much so are awesome!!!!
wrong wording but i get what ur saying
i love all the colors, it really helps me see everything!
U R SO UNDER RATED!!!! thank you so much you make my life a little easier ❤❤❤
you are too great.. i woke up this morning planning to drop my AP Calc class.. but i don't think so anymore! :)))... I thank you from the bottom of my heart!
Cramming for the AP Test! This was super helpful! Thank you!
Awesome!!! Thank you very much! You have such a good talent for explanations. Thank you
Thank you so much for these videos!!
glad i was able to help : )
@patrickJMT wooo the FAC my second home the first being the PCL! will keep and eye out! thanx so much!
Thank you so much!!! These videos saved my grades
I wish you were my Calc II teacher. You make it seem easy. My current teacher just talks circles around my head.
Patrick. I hope you can one day understand how many science/math based degrees have been achieved thanks to your videos.
@Jaquis198 no cross sections, need to do it
I missed class and was stuck with the homework. i tried the math lab and got confused more. I watched your video and it made perfect sense. I wish you could be my professor.
i can agree with the rest of your subscribers that you had made my math life a whole lot easier now, i thought i was gonna HATE calculus/math and i didn't want that to happen cuz math is my major ^_^ so thanks again patrick!!!!!!!!!
+Veronica Luna you are very welcome :)
+patrickJMT ^_^
nice vid, just learned this today and it makes alot of sense now thanks:)
@loik345 yes, some people want the 3d pictures - i never ever do them. you should ask your teacher what the feel like the necessity of drawing the 3d picture is - they may have a good reason
I just wanted you to know that you have saved me from failing. Thank you so very very much.
Great videos!
your just the best .. you made one's life easier ...
wish you were my prof !
THANK YOU SO MUCH FOR CLEARING THIS UP FOR ME! You have NO idea how lost I was!!!!!!!!
WOWWW!! Thank you man!! You saved my college career!!!
Thank you PatrickJMT
Got a tutorial tomorrow and I wanna keep my A+, pretty sure these videos just saved me :).
thankyou! example #2 and #3 really helped.. it pretty much cleared all my doubts when to subtract and what to subtract
thanks!!!
im hoping to get a 5 on the BC exam this may ;)
Honestly, I don't know how I would do without this guy. I got the highest grade in class on my first test!
You are the best!
thank you so much..ur preparing me for my exam :)
awesome, you are so helpful. thanks!!!!!!!!!!!
Do you have any videos on finding the volume of spheres and other shapes using cross sections
If you don't know what method you can use(shell,disk, or washer) is it going to work if you use shell's method all the time?
thanks man, you are so smart!!
@patrickJMT hi.... just wanted to know that is the graph given in the question or do we have to draw a graph,, coz i dont know how to draw a graph...
thank You
Patrick I am confused, I don't understand what constant to solve for when the Rotation Axis is either X or Y. When plugging in the equation in the Washers formula, how do i know if it goes with respect to dx or dy ?
I freaking love you man
do you have a video where instead of dx, you have to switch it to dy? like rotatio aroung x=2? if not it would be great if you made one, too late for my usage but others would probs find it very helpful!
GREAT help
HEy patrick, how about the volume of an area rotating in diagonal line or has a slope line?
@patrickJMT but then how do u know which one is the uper radius and which one is the lower radius??
Mr. Patrick makes me want to change my major from computer science to math.
awesome video! I am now confident to take my exam
Hi patrick, what do you do if you rotate it at the y-axis?
i was wondering when do you use pi and 2pi in volume integration
@cho3981 If have to solve for x if you're rotating about the y, and solve for y if you're rotating about the x. So in this case the y=x^3 would turn into x=cuberoot(y) and you use that to plug into the outer radius instead of x^3
You're awesome!
thank you very useful
I'm in high school struggling through this....BUT THANK YOU!!!! SO MUCH HELP
@MovieDirectorUncut actually, i always get the comment ' i want to have your babies' more often than not from guys... i am very flattered all the same though.
thanks so much..!
I love you so much right now
Would it have been better to intergrate in terms of "Y" instead of "X"?
great! finally i understood this shit
thank you man
you are fuckin amazing! I love you! I can't visualize nothing so this helped so much. God bless you dude
hmm . ur voice seems soo much deeper in this video than your other ones....:S ..BUT AMAZING WORK MAN....ur helping a lot of people..u should be proud
So what if the resulting solid were to rotate around y = 1
Would the outer and inner radius be (1-x^3) and (1-x) ?
Yup!
Thank you Thank you Thank you
@Billabong024 congrats ; )
How did you get the limits for the integral? I dont understand that yet
Samantha Fumero He set the two equations equal to each other, got them on the same side, and solved for 0.
thanks! the color makes it more clear .. "life has many colors"
I used this method and I keep getting the wrong answer. can you help me do this problem by tmrw?? lol its due at 11pm pacific
x=y^2 , x=2y, rotated around y=2, find the volume
YOU ARE AWESOME!!! BETTER KNOW IT!!
I've been trying to solve this for y=1/(x^4), y = 0, x = 2, x = 7 about y = -4.
I though the answer would be the pi * the integral from 2 to 7 of ((1/(x^4) + 4)^2 - (4)^2) but for some reason it's not giving me the right answer. And my professor wont help me.
Is there something I did wrong?
@xsqueetzzz nope
beautiful
I can't imagine how many people you have helped (including me, thanks!) get good grades. Who knows, maybe some famous mathematician in the future will credit you as part of his/her success. XD
@Anity9393 You would also do the same for inner radius y=x, it would be x=y
@xsqueetzzz or i would have been by now
YOU MAKE IT SO EASY.
@ashnruin if you see me at the FAC on campus, you owe me a high five
About y-axis??
I wish you were my teacher!!!
kk cool, ill look them up
awesome..😍
why dont you do a change of variables problem? these are too easy...