00:01
Hello everyone, in this question we have given s of t is equal to 101 -80 e to the power 0 -0 .2 times of t.
00:10
Now we need to find the rate of change of sales after 1 year.
00:15
First part is after 1 year, second part is after 5 years, in third part we need to calculate what happens.
00:28
If rate of change of sales, what happens to the rate of change of sales as time goes on? that means as time increasing.
00:46
And fourth we need to find does ever the rate of change of sales is equal to 0.
00:55
So clearly for this let's suppose we have given this is s t is equal to 101 -80 times of 0 .2 t.
01:10
So for this we need to calculate s dash t and this is equal to 80 times of 0 .2 e to the power 0 .2 t.
01:22
So this is equal to 16 e to the power 0 .2 t.
01:28
Now in the a part we need to calculate the rate of change of sales after 1 year.
01:34
So we need to calculate s dash 1 that means 16 e to the power minus 0 .2.
01:38
So this is approximate to 13 .10...