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Onngtata 4uhmes Nlledi FiceuetcyMu [u-huIoument4194o2-7 Corotaurmpuon 0hca2120 Geul due nnamvaatu [Iel ComouIRodobJ4needtd ]MENttnetotnHEAlua Mli lanan udobh4ns / {...

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Onngtata 4uhmes Nlledi FiceuetcyMu [u-huIoument4194o2-7 Corotaurmpuon 0hca2120 Geul due nnamvaatu [Iel ComouIRodobJ4needtd ]MENttnetotnHEAlua Mli lanan udobh4ns / {pened may Imes nolberetedblu to{Jelte Mft Tna Laua, Apa @u [ne qunedolu,arCum nta horduoroMttCnunalan[

onngtata 4uhmes Nlledi Ficeuetcy Mu [ u-hu Ioument 4194o2-7 Corotaur mpuon 0hca 2120 Geul due nnamvaatu [ Iel Comou IRodobJ 4needtd ] MENtt netotn HEAlua Mli lanan udobh4ns / {pened may Imes nolberetedblu to{Jelte Mft Tna Laua, Apa @u [ne qunedolu,ar Cum nta horduoro Mtt Cn unalan [



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licre the ycllow and orangc precipirares arc, rcspectively (a) $\mathrm{Na}_{2} \mathrm{Cr}_{2} \mathrm{O}_{2}, \mathrm{~K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{-}$ (b) $\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}, \mathrm{Na}_{2} \mathrm{Cr}_{2} \mathrm{O}_{2}$ (c) $\mathrm{Na}_{2} \mathrm{CrO}_{4}, \mathrm{~K}_{2} \mathrm{CrO}_{4}$ (d) $\mathrm{Na}_{2} \mathrm{Cr}_{2} \mathrm{O}_{2}, \mathrm{~K}_{2} \mathrm{CrO}_{4}$

Hi friends. As soon as the figure A. And B. For A. You can write to to death is equal to cp into peanut 1 -1 upon it. And Cuban does Cuban double necessary can be written as are we not? None of And Cuban desk and get a nice CVT not one minus burn upon end and Cuban can readiness Cuban days plus Q. Wonderfulness. Hence its efficiency can be written as 1 -62 days upon Cuba. That is one CP into 1 -1 apart and divided by c. v. into 1 -1 opponent plus are no no end simplifying it. You can write efficiency to me when minus comma times. And my new husband here gamma is cp upon CV and uh minus one plus gamma minus one into and Lana van no figure to be four figure be Cuban baby C. P. D. Not and minus went yeah cute to double death. Will we see the do you not? And my husband Q two triple this will be are we not learn of and and you two days will be to to double days and Q 2 to pull this So efficiency. You can define one Q. two days over Cuba. That has been minus and minus one Because we come out my next one None of end the gradual gamma into N -1. That's thanks for watching it

In this video, we're gonna go through the answer to question number 19 from chapter 9.3 to rush to find the inverse matrix off F S R E O X, which is a matrix as a function of time given here. First, let's recall that inverse off a product major sees a B is equal to the inverse off B plans by the invested a sharing all of the investors exists. So let's think about how we can write this in a slightly different way. So we kind of want toe, not have to worry about all the u to the t You need to mine it easy to tease. So let's just write the coefficients first 14 and then you see that all the first row almost quite by eating Timmy on the second row E to the minus t you know, 30 points to t so we can turns up by e to the t zeroes ever in the second row zero e to the minus t zero and 3rd 1 00 each of the two teams. Okay, let's call this one a on. Let's call, this one will be, Then we can use this formula to find the total invest. Okay, so first up, let's find inverse off, eh? Let's do it in the usual reduction way. So what we got 111 one minus one. See? You want one? Combine that with the identity. 100010 There. Is there a woman? Okay, we're reducing. Let's subtract the first row from the bottom room. That gives us 00 three minus 101 less. Attract the first road from the second road zero minus 21 Uh, then screw reminds 110 leave in the first row is it is one warning zeros era. Okay, so try it times in the bottom row by 1/3. We got 001 minus 1/3 zero 1/3. Get me. Okay, then this new bomb row, we can subtract that from the 1st 2nd most. So from the first room gonna be 10 because I want one. That one minus one is zero. It's gonna be one minus a bird. Sorry. One minus minus. A bird, which is one plus a bird, which is 4/3 zero minus 00 zero minus 1/3 as much bird. Then subtract the new bottom row from the middle road is your, uh, minus two zero minus one minus minus 30 miles. Off course, a bird which is minus two birds one minus zero is just 10 minus. The third is my herd. Okay, so bottom row stays the same. 001 Mines third, zero third. Let's multiply the middle Robot minds heart to get 010 Ah, my hard times minus 2/3 is 1/3 then one times minus half is mine minus half minus. 1/3 is 16 Then let's do the top road minus this new middle road. Then we're gonna get the matrix on at the identity matrix on the left for the 4/3 minus. Good. This one zero minus 1/2. It's okay. Zero minus minus 1/2. It's 1/2 on minus. 1/3 minus suit is minus 36 Which is my heart. Okay, so this is our inverse off the function called a Now it's fine. In burst off. I actually called bay. So be waas. Eat the tea. 00 zero. It's the minus t zero. Is there? Uh, zero. He said to take the inverse of this. This is really easy. Um, because when you got a non zero elements in the leading diagonal on and it's just the reciprocal off those beating darknet values on the rest is all zero. So eat the minus t 000 e to the T they were zero zero. Eat some honesty. Sorry. He's the mind to t expended in verse off X, which is inverse off. Maybe. Which is? They invest a inverse, which is, if the modesty 00 zero e to the T 000 into my studio tea. That's our invested. Be invested a waas one, huh? Minus off that, But it's hot. Six minds of the zero Third. Then when we we'll find them together, it's question, but we got E to the minus. See, huh? Modesty minus ah, the money's team. Bird eats the tea. Mine's 1/2. It's the mind. Yeah, it's the team. Six. It's the team, but Murray get minus. 1/3 eats the minus Tootie zero on the third eats the mind stated, and that's I invest

Part one. After obtaining the residuals, UT head from Equation 11.16 and then estimating equation 12.48. We can compute the fitted values H T V Hat as a function of return T for each T. H T hat is equal to 4.66 minus 1.104 times return sub d. When we examine h T had, it turns out that 12 out of almost 700 fitted values are negative. This means we cannot directly apply weighted least square using the hetero Scholastic City function in 12.48. In Part two, we add the first leg of return Square to the equation we get based on this equation. The conditional variance is a quadratic. In the first leg of return, additional variants takes a U shape that bottoms out at the value of first leg of return that satisfy this equation. It's a value that makes this partial derivative equal to zero. Mhm solving. For the value we get 1.33 This is the value of return T minus one that bottoms out the value of conditional mean, sorry conditional variance from Patou. We find out that the smallest conditional variance is greater than zero. So we can use weighted least squares with the fitted values H T hat obtained from the quadratic hetero Scholastic City function. When we apply weighted least squares to equation 12.47 we obtain later zero hat of 00.155 It's centered. Errol is going 078 The estimate on beta one is 0.39 and the standard error is 0.46 So the coefficient on return T minus one once waited lee squares has been used is even less significant. The T statistic is about 0.85 This is compared to you when we use old ls part four We obtained the Weighted Lee Square using an outer regressive, conditional hetero status titty variance function. We win first estimate the equation in 12 point 51 and then obtained the fitted values. The weighted least square results are now fine. 159 for beta not had 0.24 for beta one hat and the centre's heroines are 0.76 and 0.47 respectively. We find that the coefficients and T statistics are even smaller, okay? And we agree Thio are finding in part three. Yeah,

Hello and welcome to this video solution of numerous. Here we are given a link comprehension. So here in statement one were given that and iron or a on roasting with sodium carbonate and lying in the presence of air gives to compound PNC. And you're from option the second part the solution be in concentrated. It's alan reaction with production furrows and it gives a blue color on precipitated of compound their cost solution of C. On treatment with considerate statistical gives a yellow colored compound E. And the compound even treat it with a seal gives an orange red compound F. Which is used as an ox raise anything. So you have to make certain predictions to come into the solution. So let me show you how it's made. So first of all we take for if he oh she had to poetry thus eight and a two freedom global neck And with air that is given seven or 2 good line gives you to a free two or three that's eight the name so Seattle four. That's it. It's a frustration. Next we have if we two or three reacting with concentrate sales that is given gives you who official three Last three H 2. Right now this official tree reacts with who before if he 10 6 that is protection fellow sign a great this gives you the blue solution pushing blue solution of if the four if he CN six whole trade plus 12 cases. Mm Next From three we have two any he wanted to see our well for That's 8/10 of food gives you we need to the odd 47 is the yellow color solution. Greatness in A. Two so four. That's it too. No you have in A to see our two or seven. Okay, last case here is the orange color substance of people pr two or seven that's 2010. So this is the so let us state what is A what is B. The first we have me is If you see a 23, this is a Next we have every two or 3 SCB or Yes. So this suits also be ready And in in 204 this is C. Right BNC. That is mentioned. Yes. Now this pushing blue books. Mhm. Yeah. Yeah. Whoa it is. Mhm. Okay. To see again this election with the this one your local er this is E and we have orange. What are some common? It does if Yeah. Right. I hope this is clear to you and have a very good rest of the day. Thank you.


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