00:01
Hi, today we are solving the question in which population in 1000 of a city is given in terms of t as 400t by 2t square plus 25.
00:14
Now here we need to first find the growth rate.
00:17
So, for the growth rate we need to differentiate the given equation with respect to time.
00:23
So, p dash t will be equal to so we get 400t into minus 2t square plus 25 by 2t square plus 25 whole square.
00:43
Now here setting t as equals to 0.
00:49
So, if we set it as 0 p dash 0 so we get 400 into t so it will become 0 by 0 so it will be equal to 400 into t that is 0 into 2 into minus 2 into 0 will become 0 plus 25 by 0 0 plus 25 whole square.
01:35
So, here we get 0 into 0 plus 25 by 25 whole square.
01:47
So, we get it equals to 0 only if we set p dash equals to 0 so we get it as 400 into minus 2t minus 2t square plus 25 by minus 2t square plus 25 whole square.
02:12
So, it will be equal to 0 from here we the square and this term will get cancelled so we get it equals to 0...