00:01
Okay, so here we are given that the volume of the lung in liters, so volume in liters, is a function of the change in pressure from the diaphragm.
00:21
So a function of change in pressure in centimeters of water.
00:34
So a is what are the units of compliance? and the compliance is the derivative of this function.
00:45
So if we consider, i always sort of think of when we take the tangent line, we get the units of the y -axis over the units of the x -axis.
01:00
So keeping that in mind, we get the units of liters, the output, over the centimeters of water.
01:09
So the unit should be liter per centimeter of water.
01:21
So moving on to part b is to estimate the maximum compliance.
01:26
So we want when f prime is the largest.
01:43
And so what we're looking at is when the greatest change happens.
01:47
So we have this table and we can see that between 0 and 5 centimeters, we get a change in of nine, right? so at what time it increased by nine? from 5 to 10 centimeters, it increases by 20.
02:09
From 10 to 15 centimeters, that time it increases by, i should say, it's a point, 0 .09, 0 .20 .39.
02:32
From 15 to 20 centimeters...