00:01
Hi there, so for this problem, we're given that the path of a diver is modeled with the following function.
00:08
That is f of x, that is all work, and we're going to also label this as y, is equal to minus 3 divided by 2 times the time square.
00:18
And this plus 24.
00:23
Now, this value, i just search for this value from the internet.
00:29
Of course you can change it accordingly to the value that you are given, and this plus 12.
00:36
So with that said, for part a of this problem, the question is about what is the maximum height of the diver in feet? so what we need to do is to simply derive this expression with respect to x.
00:55
Then we will have that that is just simply minus three times the time, and this plus 24 divided by 9, okay? and that's it.
01:04
Now we set this equal to zero.
01:07
Oh, sorry, and this is not in terms of the time.
01:11
This is in terms of x.
01:12
Sorry, i forgot.
01:14
Okay, this is x square.
01:19
And here we have x, okay? yes, then we will have in here simply x...