00:01
In this problem we have given the numbers of bachelor's degree conferred has been increasingly steadily in recent decades.
00:10
The rate of change of number of bachelor's degree in thousand.
00:14
So this is the data in thousands can be approximated by the following function where t is the number of years after the year 1970.
00:27
So here b, say this would a derivative, is in the number of years after the year 1970.
00:31
Equals to 0 .08198122 t squared minus 1 .635 multiplied with t plus 14 .92.
00:45
Now we have to find bt.
00:49
So we have to find bachelor's degree given that about 8, see this would have given that about 8 to 4, 824 ,000 degrees were third in t is equal to 0 or we can say in 1970.
01:07
So here we have to integrate this term.
01:10
So integration would be b t.
01:13
When we integrate this term, so this would a 0 .08, 1 and 9.
01:17
And this would be t cube.
01:19
So this is t cubed divided with 3 minus.
01:24
This would be here 1 .635 and t squared divided with 2...