Thus we can determine how long it takes the capsule to drop from 300 ml to 150 ml, i.e half its volume. It appears to be 1.77 min. This is an exponential decay function. Now find k2. We seek the time it takes to go from 300 ml to 150 ml.
Part D Let's look at the graph of the two functions and also the graph of their difference.
Since the first derivative gives us the rate of change of the volumes we seek when these two functions are equal. When the difference of the two functions is zero, the two functions have the same value. There are two values of t for which the first derivatives are equal but only one in the realistic domain before one of the capsule models predicts the capsule is all gone.