Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! 🙂 https://www.patreon.com/patrickjmt !! Optimization Problem #2 http://www.youtube.com/watch?v=EOJbmMB8uCQ

An Optimization is Shown using Derivatives. I have posted another examples as well! For more free math videos, visit http://PatrickJMT.com

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Observation: The bubbles rising up in viscous non-newtonian fluid leaves a very long-thin-air strands. After some time this air strands breaks-into very very small bubbles(picture 2), aligned vertically but separated by very small distances. The reason for formation of long-thin-air strands is not known to me. I read about a phenomenon called ‘pearling instability’ accompanied…

Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.) a=(-2,5) and b=(5,12) Leave a tip for good service: https://paypal.me/jjthetutor Student Solution Manuals: https://amzn.to/2WZrFnD More help via http://jjthetutor.com Download my eBooks via http://payhip.com/jjthetutor, paperback via http://amazon.com/author/jjthetutor.