Water is run at a constant rate of 1 ft 3 /min to fill a cylindrical tank of radius 3 ft and height 5 ft . Assuming that the tank is initially empty, make a conjecture about the average weight of the water in the tank over the time period required to fill it, and then check your conjecture by integrating. [Take the weight density of water to be 62.4 lb/ft 3 .]
Water is run at a constant rate of 1 ft 3 /min to fill a cylindrical tank of radius 3 ft and height 5 ft . Assuming that the tank is initially empty, make a conjecture about the average weight of the water in the tank over the time period required to fill it, and then check your conjecture by integrating. [Take the weight density of water to be 62.4 lb/ft 3 .]
Water is run at a constant rate of
1
ft
3
/min
to fill a cylindrical tank of radius
3
ft
and height
5
ft
. Assuming that the tank is initially empty, make a conjecture about the average weight of the water in the tank over the time period required to fill it, and then check your conjecture by integrating. [Take the weight density of water to be
62.4
lb/ft
3
.]
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
The linear density of a cable wire is the rate of change of its mass with respect to its length. A nonhomogeneous cable has a length of 9 feet and a total mass of 24 slugs. If the mass of a section of the cable wire of length x (measured from its leftmost end) is proportional to the square root of this length, Compute the density of the cable wire 4 ft from its leftmost end.
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY