00:01
Okay, so let's find the parameterization of our curve.
00:07
Okay, in order to do this, we are going to substitute the value of z that we are going to find in this equation.
00:18
So, oh actually there is an easy way.
00:21
Let's just substitute z with x squared plus y squared.
00:26
So we are going to have x squared plus way squared plus 8 x minus 5 y minus 3 equals 0.
00:41
Okay now let me write this guy in a more convenient form.
00:45
We can write this guy as x plus 4 squared plus y minus 5 squared plus y minus 5 half squared and now here we are going to have negative 3 now negative 16 which is 4 squared and negative 25 over 4 which is this guy here that is 5 half squared equals 0 okay so now we have negative 19 minus 25 over 4 which is okay let's see negative 19 and negative 25 over 4 actually we don't even need the negative one here we can just write plus okay so 4 here 78 plus okay this one is going to be 76 plus 25 okay so 76 oh, okay, let's see, 76 plus 25.
02:05
Okay, perfect.
02:10
Okay, now this guy is what? this guy is 91.
02:20
Okay, so, oh, actually no, he is 1001.
02:26
Okay, so 101 over 4.
02:28
Okay, perfect...