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Question 10Tne functions Y1 = eZxand Yz = eJx form a fundarental set of solutions for the DE Oay"+5y+6y-=0. Oby"+Sy -6y=0. 0 e None of these 0iy" - S...

Question

Question 10Tne functions Y1 = eZxand Yz = eJx form a fundarental set of solutions for the DE Oay"+5y+6y-=0. Oby"+Sy -6y=0. 0 e None of these 0iy" - Sy - 6y=0. Ocy-Sy +6y=0.

Question 10 Tne functions Y1 = eZxand Yz = eJx form a fundarental set of solutions for the DE Oay"+5y+6y-=0. Oby"+Sy -6y=0. 0 e None of these 0iy" - Sy - 6y=0. Ocy-Sy +6y=0.



Answers

The zero(s) of the function are given. Verify the zero(s) both algebraically and graphically. $Function$ $f(x)=x-3-\frac{10}{x}$
$Z e r o(s)$ $x=-2,5$

The question. We have to find the generalization for the given function f x y all myself which is a post a to the Power X plus Waas Why blessed is a given points a B zero on I 20 Macedo cpac zero come up by by four months. Bye bye. Four works the solution Or if a FX on FNC zero on my big Britain into the common X at 00 why bless that at a little table with 4 to 0 simulating upset with Brazil. So the organization for the parking bless act works part B affect little on bye bye on my zero weaker to one. What? Why would win for my next one f minus one? So, Billy, immunization on the human function for our people Week X minus y minus that I buy my moving what's backs d f zero by four by four effects will be one. Why would be my next there between my next one? So generalization for they give him the box Will be X minus said Yes, I four less mother. This will be the Final Four Big question. Thank you

In the question. We have to find the immunizations for the given on effects on the white. Understand, which is a close to excess Where less vice well plus z squared at the point, eh? About +11 form of be part still move on. Steve went on, moving forwards dissolution or give us a function on one on one with three at exactly 11 moment. One which would tie it to buy that for the given function, but a less too x minus home less to buy my next one less to finance. It will make us less wine, less tools. My next three now moving works of art. So the unionization for they will be one plus zero x minus. Really blessed to why minus one less zero minus which by my next one, see one way effects that one and that one for a given for parts B wets minus one. And this one final question. Thank you

For this problem, we are given the function or the equation X squared Zedd plus three, Y squared minus X. Y equals 10. And we are asked if Zedd is a function of X and Y. So what we want to do here is try to rearrange this to isolate set. So we can see that we can rearrange this equation into the form Z equals 10 plus xy minus three, Y squared, all divided by x squared. There we can see we have a expression that puts Z as a function of X and Y. It only ever has one value. So it is a valid function. So we can see that Zed is in fact a function of X and Y.

It'll Immunizations of the function are given points. So here we're going to do exactly what we're doing before we just now have an extra variable. That means our lionization is gonna look like oh, backside Z is equal to the function Still evaluated other initial point. But I wasn't at three extra term. So we know the partial derivative with respect to X. That initial point times X minus x My plus partial Drew District of wild initial point. Here's one, that's why not. And then now we're also adding partial drew. Distracted, busy at initial point times a C minus, is he not so just like we've done before. I'm gonna start with finding all of these values and then plugging it into this equation. So are in part a were given initial 0.111 So plugging that into my function here I get one squared plus one squared plus one squared, which is just three taking the partial derivative respect a X at 111 Here the Y spurs ease where Constance ago become zero. Expert is to x. And when I pull you in one for ex, I just get two and then the other two are gonna look the same. So now my take the partial respect Why I get to why Just equal to and then for Z I get to Z, which is also equal to two. So now I'm gonna put all of this information into my equation here. So get Ella Vex. Why is equal to three? Let's change times X minus X not which is one plus two times Why minus why not? Which is one plus two times a minus, Dina, which is also one in Italy. You simplify that out. You should get two X plus two Why plus choosy minus three. Now, in part B, we're looking at the initial 0.10 So when I played that into my functioning, I get zero squared plus one squared plus C squared, which is just one. When I played in this into my partial derivative with respect to X two x excessively zero. So I get to times here, which is zero. I know this one was able to to why and so wise he goto one here. So I just get to here. The partial derivative was to Z Z Z equals zero here, So I just gets here also. So that means my Lennier ization iss one plus zero times x minus x not which is zero plus two times Why minus why not which one plus zero times a C minus C not which is zero. So this becomes too. Why minus one so and then four parts. See, I'm given the initial 40.100 So you know, when I plug this into my function, I just get one year X is equal one. So two times one is two and then since X. And what and why and z are both equal to zero in our initial point? That means our second derivative. It's also going to equal zero. So in my final immunization, I get that it's one plus two times x minus x not which is one well zero times why minus why not much zero plus zero times a minus c not, which is zero instant. Find that out. I get to X minus one


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