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Tan(x3_3x2y2+2y4) a. Find Zx + Zy: given that z(x,y) = V9-x2_y2(10 marks)b. Ifu = In( rtythen show that Jx Jy =3(10 marks)...

Question

Tan(x3_3x2y2+2y4) a. Find Zx + Zy: given that z(x,y) = V9-x2_y2(10 marks)b. Ifu = In( rtythen show that Jx Jy =3(10 marks)

tan(x3_3x2y2+2y4) a. Find Zx + Zy: given that z(x,y) = V9-x2_y2 (10 marks) b. Ifu = In( rty then show that Jx Jy =3 (10 marks)



Answers

Find the indicated value of $Z$. (It is easier to find $-x_{\mathrm{u}}$ and negate it) a. 20.002 b. 20.02

In discussion given don't their physical three x plus my script and grand after the reporter Gender Deluxe I tendered invited Do you go create a Let's do it, J then the man You should have grown up there Quartile worked up three square last two rice Where a cortical square work tuff nine plus Well, I split No guard off me to the ground will be controlled by the looks of this function with its credo I yes, Delbert del boy of the sauce in which will be won by to tell it off Nine less poor twice Quit working! Apparently a clay. 1/4 to 4. Right? My daughter nine less court Bisquick She didn't duck even point I come out You have Garda magnitude of gradually is Puerto giving acceptable to everyone Why it took to make it and send it by five years

So this question were has to find the value of Z. So now these are actually the right tail values of Z. So basically see And the area here is 0.025 sister right tail value. And we're asked to find what the value C. Is. So we're basically first going to find our value for minus Z. C. Which has the same area and then nick it that value. So when we look at our value of 0.025 we basically see. The value that comes closest is actually -1.96. Over here. It's our value of the Here is 1.96 with for the right tail Now for b. .2. So we basically are again looking at an area of .2 and for the area of .2 we look at power Negatives, they see the value we get is -184 for our area of 0.200 five which comes the closest. But we want our right tail value which is .8 four

In this problem, we are given a set of vector equations. And using those equations, we need to show that the victory is equal to minus one by three of the vector B. Now, for that first of all, let us consider the third equation, which is why I minus Z is equal to be. So from here we can have pain that Y is equal to B plus z. Next we need to show that is equal to minus one by three B. So let us name this is equation one and then consider the second equation that has been given and that is x minus Y is equal to E. Now, if we swap both sides of this equation we will get E is equal to x minus. Why? Now X is given by the first equation and X is equal to two by three, Y plus one by three Z. We subtract why from this? And we obtain the value of Y from equation one which is B plus Z. So we obtained this from the equation one. So this will be equal yeah, to rightly wine plus one by three Z minus Z. So that would be minus two by trees. E and we have minus B status factor of two by three. We'll get to buy three times white minus Z and this is minus B. Now why -Z is given to be equal to be in the priority given equation. So this will be to buy three D minus B and that will be equal to two by three minus one of B. So this is equal to minus one by three B. And we started with a on the left hand side. So that means that we obtain that E is equal to minus one by three B. And this is what we needed to show. Hence the result is proved.

There have been problems. We have U equals B minus do over Q minus car P equals X plus Y last in jail, you eat. It's my ass. Like bless Virginia, Are you with X plus minus? Jamie, ext Do equal for growing up to be true. No, I'm fine. Don't you know? Except it's humanist darling as well. No, I mean, you know you were reckless, don't you? Below. Don't go into doll. You told Alex Glass, Don't you work hard and hard? Love, Don't before we have This is different one of one Q minus one last minus one from the few minus R my B minus Q into one or this is Yeah, Q minus the square and one glass minus one in tow. Humanist student into minus one over. You might as well This is given us way. Then this is it. One of down to minus part, plus or minus B or humanists will inspire yes, female issues over. Do you mind if I got this far so far? This is fine. And you? My next cue humanist is these are the chances are this produce reconstructions, crudest. Attempt something. It's Jill. Hence the opinion don't use the word, don't you? You know we have the next farm cheese. No, you were just given ads. Don't. Don't be into the people will down. Why don't you? Don't you? Don't you? Well, because you don't you don't know. This is equal to one of you. Mind minus one. Do I must be human is a square. Yes, The man you human is far, but it's far Forest Fire it really, Dane, This inquiry for meaning minus why even ask 44 1 14 Well, it's far and expensive Disbar me here I don't want is human ads is n o r. Daily minus no Well defined. No, you don't. Doesn't work. You do? No, People were done. Zip less down. You've worked out in a bill you tore knows even us. No, you don't know. So this is giving us a few minutes. What less anonymous people human is what? A spa. Bless my miscue over a few minutes. So these are picking the end result off Dean, that is, don't you? But it's given us. You don't You don't see it. Even has my mental like old examined my next point. This is going to find. You mean the man is on being you? Huh? So this is the answer for back up the question John, we have This is But you have a potion. No, we have deep question. Find the values off you over. Don't mix tree. Wow. So it comes out to resume. Don't you? Don't want at that point, todo Well, this is equally well, you know you so well though. The fact they won t through and won its comes up with minus B. Yeah, the problem is the answer. Do it again.


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