Mass and center of mass with triple integrals (KristaKingMath)

► My Multiple Integrals course: www.kristaking...
Learn how to use triple integrals to find mass and center of mass of a solid, E, with a given density function p (rho)
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // www.kristakingm...
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingm...
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[@Sugarkryptonite]

I believe there is a mistake here...looking at my textbook, Mxy is z bar, and Myz is x bar. I think you switched them by accident?

[@luvyadav3853]

Yup its has been, but its a silly one. For x Myz/m and same way for othera

[@adelnaqvi3154]

girrrrllllll you are a LIFE SAFER. Thank you so much for making all the videos you have made on multivariable calc.

[@kristakingmath]

You're welcome, Adel! I'm so glad they've helped! :D

[@Augustvfx]

Hey, just wanted to say your awesome and the best there is honestly. Im a mechanical engineering major and I have been watching your videos since I began my math journey. They have helped so much and I am nothing but grateful. Your a great teacher so keep up the good work, your changing lives :D

[@kristakingmath]

Aw thanks Brandon! I'm so glad I've been able to help along the way!

[@hg2.]

Right on Brandon. If I had Krista 40 years ago I might be an engineer too. Go for it! Thank you Krista for the "stamina" you have in explaining what's going on in every step by step detail - that's what us "hearing it for The first time" students need and that's what Krista gives us. (Instead of the defacto pompousness you get from a lot of "teachers" with an "oh I can't be bothered explaining these minute details to these commoners..." :) She's the best math teacher on KZbin, maybe the best KZbin teacher, period.

[@sandeepkumarmaths]

@@kristakingmath Nice Lecture Dear ❤️👍🏻👍🏻👍🏻👌🏻

[@amirahhill8951]

Should Mxy be z bar and Mxz be y bar and Myz be x bar? at 10:56. Thanks for all your help! Love your videos!!!! I just "read along" with my Stewart Calc textbook and I saw the above on page 1023. Does it really matter what the order of the "bars" are?

[@davidumann6707]

I just barely passed my math examination, and you played a part in it. Thank you, random video from 7 years ago!

[@kristakingmath]

You're welcome, David! I'm so glad the video helped, and congrats on passing the exam... that's awesome! :)

[@nathanskinner423]

There is a mistake in the video, at the end you mislabled z and x bar

[@Neueregel]

Very good examples

[@sunflower-Sept32022]

This video is very informative and easily comprehensible. Great job!

[@kristakingmath]

Thank you so much, Abby! :D

[@nikanov7741]

Thank you very much! Helped me a lot. Greetings from Austria

[@kristakingmath]

You're welcome, Nika! I'm so glad it helped! :D

[@elisefischer-colbrie2116]

ugh thank you so much 1000x better than my textbook

[@jonschmidt2]

Thank you so much!!! You don't know how much you've just helped me! you da best!!!! :)

[@kristakingmath]

Yay! That makes me happy. :D

[@martinxiang7474]

This video has very well done. Thank you for your hard work. :)

[@kristakingmath]

Thank you so much, Martin! I appreciate it! :)

[@AlexanderKuznetsov96]

you da real mvp

[@MadisonBrown-tf4ll]

Not sure if you or anyone who knows will see this, but what program are you using to draw? I tutor and teach math and have been playing around with different drawing apps

[@maceyclausen2229]

Thank you so much!!

[@KubaZeto]

what whiteboard do you use?

[@kristakingmath]

Hey Kuba! It's called Sketchbook, it's made by Autodesk. :)

[@SynytsiaAnton]

That's interesting!

[@TheDrB0B]

Thanks for explaining how to mechanically do it, now to look for a damn intuiton for this because there's no way I'm memorizing this for a math exam.

[@katielindsay3812]

will all of the coordinates be the same every time or is this just a special case?

[@kristakingmath]

This is just a special case. :)

[@peterho8339]

Awesome video!

[@kristakingmath]

Thank you so much!

[@suhailabdulrahmanabdoesmai8849]

thank you so much

[@kristakingmath]

You're welcome, Suhail! :)

[@Ks-zz9lh]

thank you!!! :)

[@kristakingmath]

You're welcome!