5 answers

Let dlt ) 2 (2 (os t 2 Sia +t > 0 ) , &: R-R' Reporametcise 0 So 0s

Question:

Let dlt ) 2 (2 (os t 2 Sia +t > 0 ) , &: R-R' Reporametcise 0 So 0s to ar Ound its trock %o three tines O5 fast but 3n fhe oPPsrte direcfion . 15 6 (epbaetriztion mop: Find 8 - 0


Answers

Using the symbols $0,1,$ and 2 use ternary $(m=3)$ Huffman coding to encode these letters with the given frequencies: $\mathrm{A} : 0.25, \mathrm{E} : 0.30, \mathrm{N} : 0.10, \mathrm{R} : 0.05, \mathrm{T} : 0.12$ $\mathrm{Z} : 0.18$

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Solving party of this problem. So here I can write the value and not by an is equal to one minus the by they see all to the power three by two which is equal to one minus three D. C. By food by pc. All to the power three by two I just put the value of he here which is equal to one minus three by poor poor to the power three by two which is equal to zero point the pipe zero.

Put it at the answer for party. Now for part B I can write the value of and not by N. Is equal to one minus D. C by two by TC. All to the power three by two which is equal to one minus one by two.

To the power three by two which is equal to 0.64644 Now simplifying part C. So here I can write the value off and not by N. Is equal to one minus Pc by food by TC. Or to the power three by two which is equal to one minus one by for all to the power three by two which is equal to 0.875 Now solving part of the, so here I can write the value of and not by N is equal to one minus TC by eight by TC. All to the power three by two, which is equal to one minus one by year.

All to the power three by two, which is required to zero point 9555 page as the answer..

The given differential equation is peace with these were by upon BP square. Bless it would be Do you buy by day? T minus six Play with zero So moving towards the solution a zoom that why is equals to be who? The power then y dash would be equal to God e r minus one on viable Nash, Would people toe our into our miners? One t to the power ar minus two. Substituting these value in their differential question. We will get peace. Where our into our minus one B to the power ar minus two less duty are B to the power R minus one minus 63 With the power rod, it will still zero soldering this.

We would get our r minus one unless you are minus six A to the power are as a woman equals Brazil that would with where you are square less ar minus six equals Brazil Finding the roots Ah, and using the Mickum slick method, we would that are less three ar minus two equals zero. That is odd. Would be put my history and I would be Cueto. Therefore, the general solution would be by equals two See one day to the power minus three Unless Sciutto speak with the public. No, thank you.

So we have T. N. C. Pence. TN see hey it's equal to end factory to Plus 2 to the power came.

So I can use mathematical induction to verify this formula so that if I have to see it is going to be very factor Plus 2 to the Power 00. Factory is one. Any number of reasons points around so one which is equal to two Then see one is going to be one factor plus two to the power one Which is equal to one plus To equal to three. Then C. Two Is to factory to Plus 2 to the power soon and to factory rise to Plus four equal to six.

So what do you realize you realize that this follows our sequence 2 3 Words six. So it follows. So as you it's so he adds you see okay it's going to be equal to K. Factory to if it is true for A. And then it should be true for K.

As well. So then it means that C. K. So it's news T. Okay plus one is going to be cool too.

Okay Bloods one Plus four of Tiki. My name is full he less one C. Key. My name is one glass full. Okay class one.

My meds AIDS. We have CKI -2 and this is going to be equal to I have keep glass Wife key factor last two to the power key minus. Have my fall K plus one. I have Hey my name's one factor Plus two. So the power key.

My next one t minus one loves Like what do I have? four K. So four key -4 for syria less To K -2 for the other side as well. Okay so then so this is going to be cool too. I have key lasts five years. Thank you.

K minus one minus hole. Keep plus one We have with K -1 plus for t minus one. So Then let's apply by K -2 fatture lads. What do I have key last five. Yeah.

Going to have Thanks for minus my AIDS T. Bloods. One less fall. Okay my name's one. Let's close their buckets.

We have to T -2. It's her name's K -2. And this is going to give us simplify. You have he's squared last five. Key from here minus four.

Key -4. Last four. Then I have t minus one factor uh Plus kids. Thanks to Exponents K -2. And this is equal to key plus one factor plus two ki minus one.

So for by mathematica induction if it is valid for K then it means that as valid as well. Four oh I am..

So here we're giving them at least charismatic is equal to 30 zero. Then we need to find out what is here to the power where in belongs to the beautiful natural numbers. Take. So here, if you consider the metrics air, it can be written as three into 1001. That is Is it three times I That is 1001 is identity.

Matics. Therefore eight of the Warren will be equal to 3. 8 to the power end. That is 3 to the power and through to the war ended I had to the parents and since I use the energy matrix into the bahrain will be That is three to the bar and into 10 01 This will be the value of 8 to the border..

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