00:01
In this problem, we're asked to find the volume of the gas and the maximum error in that value.
00:07
So we're given that volume is k times t divided by p.
00:12
So we're going to say delta p and delta t are with the error in p and t.
00:17
So the maximum error delta v delta v is going to be equal to del v delta t times delta p plus del v del p of delta p.
00:25
So let's first calculate del v delt.
00:28
That's equal to del d l d l t.
00:29
That's equal to del del d l d l t of, of v, which is just k times t divided by p.
00:35
We can take our k and our p out, so it's del, del, del t of t, and we get del v, del t is k over p.
00:43
For del v del p, it's del del p of k t divided by p.
00:48
We can take out the k and t, and we have del del p of 1 over p, and we get k t negative 1 over p squared.
00:55
So that's equal to negative kt over p squared...