00:01
So we have been given that, let's say the capital m belongs to a function that is f of t when n is the number of starbucks stores worldwide thousands.
00:13
Now the year since the 2000s, so we are having the minima and maxima values of f of 16 is equals to 25 and f dash of 16 is equals to 1 .5.
00:27
So in the a part what is the unit of 1 .5 that we have to find out.
00:33
So as n is the number of starbucks store in the thousandth of t in the number of years of 2000s.
00:41
So we can clearly say that this f dash of t those should be equals to the dn by dt here.
00:48
So this is equals to the rate of number of starbucks per year.
00:54
Okay, so rate of number of starbucks per year.
01:05
So unit of a dash of t is number of starbucks per year.
01:12
So simply we can say that the f dash of 16 is equals to the 1 .5 and we have asked to find out the units of it.
01:22
So basically its units is simply starbucks per year.
01:34
So this will be the required answer for a part.
01:39
Now in b part since you have been know the f dash of t is equals to the upper limit that is f of b minus the lower limit f of a divided by the interval that is b minus of a.
01:54
So according to the given if we will say at t is equals to 0 the value of capital of n is equals to 1 and at t is equals to 16 the n should be equals to f of 16 which we are given that is 25.
02:13
So by using this we can conclude the f dash of t.
02:16
So this is equals to the f of 16 minus f of 0 divided by b minus a that is 16 minus 0.
02:26
So this will comes out equals to 25 minus of 1 divided by 16 minus of 0 would be equals to 24 by 16 would comes out 3 by 2...