Okay, so we're trying to find the values of a B and C that minimize this caution here. The square of Xscape was Burk plus e minus. Zk do que starts at one and go support. We have four points the points for a x y and z on kz Gonna want to be in for over here, given the equation is easy with the expressed view I policy. So I could go on this question. We just need to know about it. Oh, for each level of Kate. So let's start with K Big oil. He had 000 Um, so we'll have in order to minimize this, we could see that was easy. You zero was equal to that a kind of zero. So if you just crossed it out plus B Tom zero plus c So obviously for this occurs there seems be equal to zero and then to minimize it Totally read, Need A and B is equal also equal to zero. So a and was equal to be issued must be equal to see must be equal to zero freaky cause what for? Kate was too. We have zero loin boil. So in this case will have. Let's see a X, which x zero So a kid just be there as well be Tom's wife. So just be plus C must be who'd minus disease or view Negative oil so we'll have or under the side of Z is equal to B plus C. So we want to minimize this. We could just say that disease one we could just have stayed. Hat B is equal to zero and C zero toy or these equal to one C is equal to zero. So for this case, we have two options. We have prince sinks A equals B is equal to zero comma. It's easy for a while or is equal to see which is equal to zero BZ go to one. Either these cases will minimize Are folks in? So it was a long Takeko stream When we have one boy who have okay, class and be Percy violist busy or is easy, who don't want who have their Y is equal to a course to be Percy. So for this to work out, for instance, the three again three instances, uh, we couldn't try. I would have a few instances. Actually, we could have a is equal to C zero toy and then be equally negative one or any or any one of those on combinations. Because if we look here at a formula, reconsider a Chris is plus plus see will be too. But then it's attract. Launch will be never be one again. And then you subtract one from Z visa the cases to minimize so we could have any any number combinations like this year or you could have a is equal to B is equal to zero. And it's easy, Good toy that one will have, you know, still minimize it. Where and inside Everything told was up to zero. Okay, and then let's move on. The cake was for where we have 10 negative one. Oh, we'll have a plus. See move press one within the currency and then we'll have, um negative one is gonna be equal to a because, See, So in this case for April, see equal negative oil we could have Hey, is he going to one season? Go to negative oil? If we do that out on labels, awful ese would want seasonal into zero. Do it with that. In that case, everybody quotes a negative one c equals zero. And that would minimize the punching if we also had B equals zero. Because if you look in the function, we'd have to have a is equal negative. Olympus equals zero plus one. So that would be zero and the whole thing be minimized. We could also have, For instance, a is equal to negative two. See Equalling. Why be equaling zero? Because if Dan, if you put it in here, we get negative too. It'll be 92 plus two, actually, which would be zero again. Thing is to minimize. So either those could work out. And so these will be some of our minimal values for are for this for this function.