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Salv Ahe Aollowin$ differental equation Ung Mkhod of Voviotion f paameter y" 0 271 21 ' - 3y...

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Salv Ahe Aollowin$ differental equation Ung Mkhod of Voviotion f paameter y" 0 271 21 ' - 3y

Salv Ahe Aollowin$ differental equation Ung Mkhod of Voviotion f paameter y" 0 271 21 ' - 3y



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$f(x, y)=x^{2}-y^{2}-3 x^{3} y,$ determine (a) $f(1,-1),(\mathrm{b}) f(2,3)$

So here we're just gonna go ahead and subtract the expressions. Remember, we only can subtract life terms like terms are both the same variable, insane exponents. So we have y cubed and why cute here. So we have 7.1 minus negative. 8.4. So to nighters, make a positive. So it's really just 7.1 plus eight point. Or and that's going to be 15.5 15.5 y cube. Now, in this second expression, we don't have a life squared. So we're just gonna go ahead and copy this down here. So we have close Force 29. Why squared? We just have 0.1 minus negative 0.1. So again minus negative becomes a positive. So it's just 0.1 plus 0.1. And that's just point to So we have plus 0.2. Why? So this is your answer. Like here

Special Beijing with constant repetition. First we find the characteristic hold over you here and in this I love you, not even a doctor. You're going to use the Russian feel which does take it all the factors a piece which is this beauty hope a ship and by all the factors off key was trailing constant here. So here he has people whose one Q T 26 so are set reminded one which is the only factor one and one you 30 26 Richard of factors The serum said for all elements inside and if of a equal to zero then police a route and our vice a was a factor here at the doctor Just the characters of you are So it turned out for this problem that life 1/1. Yes, The euro. That implies my one is a root and or my one or minus minus one factor. Find the other fact that we can just keep holding over your divisions. We have our 10 Read my one. We have minus one divided by synthetic division. My one, one, three, 28 26. We get minus one times one. It might. It's one B minus here, minus one times accused. My cue minus one times minus. So we get our answer, Mind it or where you are 26. From here Now we ever factors are minus one plus one are good to our 36. You could hear now in the works factor This that's also not leaving factor boots. But we can use meeting completely squares. We have our script. Plus you are my and 25 perfect square 36 are scraped to our plus one and plus one on both sides. So you get minus 25. We have our plus one squared Whose So we get our cruise Plus reminded the horse possibilities radical. Well, you have Well, my one comes in both sides So my one then remind square root you get my one five i my my five in order side a route from our plus one Are you going my way? Ever since we shouldn't Why api Number two He won t to ive to go, but it's one plus Reminded life I he dedicated formula. You have me a plus B I It's just you eating a time to be a sign. So here we have this mission. You eating my? Then we have co sign five p outside five feet. We have you eaten my tea? Five key. Look, the three minus t side of five. You have R C. One of my It is actually she here.

All right. We have a function of three variables. That means it takes three inputs X, Y and Z. And gives us one output. And we just want to find the value at these points. So we're putting in one for x. Negative two for y and three for Z. We're subbing in all three of those numbers at the same time. So uh I apologize for that. Not negative one positive one for x. Positive one for x. Negative two for why? Here's another why? So negative too. And then positive three for Z. And one more positive three for Z. Okay, so that is whatever that works out to a total of two minus 12 Plus because -2 cubed is negative and there's negative out here. Uh C 16 times 944 plus nine. um Okay, so whatever that works out to I think that's 143 total We're going to do the exact same thing except with 012. So zero for X. That's nice because any term with an ex um will now just evaluate to zero. So one for why? Uh let's see one for why negative too frizzy. Make sure you put the parentheses so that the negative also get squared. Ok, so those guys are zero, that's good. Um Here we get a negative eight and a positive four. So a total of negative for

For this problem, we have that too wide of a prime plus 13. Why prime minus seven y is equal to zero. So the characteristic equation is to R squared plus 13 are minus 70 which implies that our is equal to night of seven and 1/2. So why have tea is equal to see one times e to the t over to plus C two plums if the native 70 and this is our final station.


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