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Applied Project: How Fast Does a Tank Drain? Question 1

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First published at 00:04 UTC on August 1st, 2018.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over another applied project, which is a part of some very interesting math applications at the end of each chapter in my calculus book, and this time solve the applied project titled: How Fast Does a Tank Drain? The applied project looks at modeling a tank of water in terms of how fast it drains as the water level height decreases. This video involves solving Question 1 of the applied project which is looking at modeling a simple cylindrical tank and applying the Torricelli's Law for drainage of a fluid in a tank. This example shows how the drainage of water from a tank can be modeled by a differential equation, and in this question it's a separable equation which allows us to solve for the height of the water level with time explicitly. This is a very interesting video on a real world example of applying differential equations to create solutions and I will be going over further questions on this applied project in later videos; so make sure to watch this video and stay tuned for more!!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsstdcnJG4C3EaJ1Tw

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/applied-project-how-fast-does-a-tank-drain-question-1

Related Videos:

Applied Project: How Rainbows are Formed and the Order of it's Colors : http://youtu.be/Q3Euh4K93_c
Applied Project: How Double Rainbows are formed - Calculus of Rainbows Part 2 : http://youtu.be/bKfyV_YKLR4
Applied Project: The Shape of a Can - The Science behind Can Manufacturing : http://youtu.be/pfpd8RJi9jw
Applied Project: Where Should a Pilot Start Descent?: http://youtu.be/DI4WMqrYB4Q
Applied Project: Building a Better Roller Coaster: http://youtu.be/QjtaMIlKYxQ
Applied Project: Where to Sit at the Movies: http://youtu.be/oEkFJuCE-4A
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94 .

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