In this video I go over another example on finding the volume of a shape formed by rotating a function about the x-axis. In this example I solve the volume of the shaper formed by rotating the function y = x1/2 or y = sqrt(x) about the x-axis from x = 0 to 1.
Watch Video On:
Download Video Notes: http://1drv.ms/1tVJAHv
Download These Notes: Link is in Video Description.
View These Notes as an Article: https://steemit.com/@mes
Subscribe via Email: http://mes.fm/subscribe
Donate! :) https://mes.fm/donateReuse of My Videos:
- Feel free to make use of / re-upload / monetize my videos as long as you provide a link to the original video.
Fight Back Against Censorship:
- Bookmark sites/channels/accounts and check periodically
- Remember to always archive website pages in case they get deleted/changed.
Join my private Discord Chat Room: https://mes.fm/chatroom
Check out my Reddit and Voat Math Forums:
Buy "Where Did The Towers Go?" by Dr. Judy Wood: https://mes.fm/judywoodbook
Follow along my epic video series:
- #MESScience: https://mes.fm/science-playlist
- #MESExperiments: https://steemit.com/mesexperiments/@mes/list
- #AntiGravity: https://steemit.com/antigravity/@mes/series
-- See Part 6 for my Self Appointed PhD and #MESDuality Breakthrough Concept!- #FreeEnergy: https://mes.fm/freeenergy-playlist
NOTE #1: If you don't have time to watch this whole video:
- Skip to the end for Summary and Conclusions (If Available)
- Play this video at a faster speed.
-- TOP SECRET LIFE HACK: Your brain gets used to faster speed. (#Try2xSpeed)
-- Try 4X+ Speed by Browser Extensions or Modifying Source Code.
-- Browser Extension Recommendation: https://mes.fm/videospeed-extension
-- See my tutorial to learn more: https://steemit.com/video/@mes/play-videos-at-faster-or-slower-speeds-on-any-website- Download and Read Notes.
- Read notes on Steemit #GetOnSteem
- Watch the video in parts.
NOTE #2: If video volume is too low at any part of the video:
- Download this Browser Extension Recommendation: https://mes.fm/volume-extension
Example:
Find the volume of the solid obtained by rotating about the x-axis the region under the curve y =x1/2 from 0 to 1. Illustrate the definition of volume by sketching a typical approximating cylinder.
Solution:
Did we get a reasonable answer?? We can double check by considering the function y = 1 instead.
Thus in our example the volume is computed as half this cylinder's volume, which seems about right.
