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The sessments Select 8 8 } 3 31 parabolic Iniormation ~ 4 4 ~c signal =1. 21: 21 : ;t< t= 3 ceoztia time domain ssessmem can ; represented AtdetanaPayment Contin...

Question

The sessments Select 8 8 } 3 31 parabolic Iniormation ~ 4 4 ~c signal =1. 21: 21 : ;t< t= 3 ceoztia time domain ssessmem can ; represented AtdetanaPayment Contin _

The sessments Select 8 8 } 3 31 parabolic Iniormation ~ 4 4 ~c signal =1. 21: 21 : ;t< t= 3 ceoztia time domain ssessmem can ; represented Atdetana Payment Contin _



Answers

$33-44$ Find the domain and sketch the graph of the function.
$$H(t)=\frac{4-t^{2}}{2-t}$$

Okay so here our message is sailor sailor beware. So the numerical value of the first letter here s um of the message is 19. So we replace X. With 19 in our given function. And then simplify. So we have f. Of 19. Well that's going to be equal to our function is X plus one cubed. So therefore we have 19 Plus one Cube. That's just equal to 20 cubed. Which is equal to 8000. So therefore the letter S um can be encoded by eight 1000. Um and then we go ahead and encode a. So we now replace X with the numerical value of A. Which is one. So then we have F. Of one that's just equal to um one plus one cube which is equal to two to cube Which is equal to eight. So we have the letter a. Can be encoded um by eight. And similarly we find the codes for the rest of our letters and we can then encode the message as follows. So our first letter we found was 8000. Okay. And then um and then eight. Okay. And then our next letter i. Is 1000. And then our next letter L. Would be 2197 And then oh would be 4000 96. And then our next letter R. would be 6800 and 59. Next um letter B would be 27. Our next letter E. Would be 216. Our next letter W. Would be 13,800 In 20 for our next letter. Um EH well that's eight. We found that already. Um our next letter Um are would be 6,859. And our last letter E. Would be 216. Right? So there is um the message right um Sailor beware which can be encoded as we see here. Can I call? Yeah. All right take care. Mhm. Oops.

Right, okay. Okay. So the numerical value of the first letter s um in the encoded message here is 19. So we replace X with 19 in the given function and then simplifying. So we have that F of 19 is going to be equal to our function is X cubed minus one. So therefore we have from 19 is 19 cubed minus 1. 19 cube is 6859. So therefore uh minus one gives us 6000 858. So therefore the letter s can be encoded as 6,858. Using the function affects Equal to x cubed -1. Um Now we encode the letter E. So we replace X with the numerical value of E, which is five. So we have F of five is equal to five cubed minus one, um which is equal to 125 minus one, which is equal to 124. So therefore the letter E write the letter E. Um can be encoded um as 100 and 24. And similarly we can find the values for N. D. H. E. L. And P. In the message. And the message send help. And we find that N. Um N. Is going to go to the the the code uh 2743. We find that D. Is the code uh 60 three. Each Is going to be the code 511 um E. Is 124. Um El is going to be 1727 And P. is going to be 4095. So therefore the message can be encoded as follows. We have six eat 58 Um And then we have 124 and then we have 2743 and then we have 63 and then we have 511 and then we have 124 and then we have 17 1 7- seven. Um and then we have 4095. And there is um the code for the message send, help using the function. Um The function f. of X is equal to execute -1. Cool. Take care.

We're going to do problem number 45 on this question. We're going to do the we're going to match the graph with the given function. That is why they call to say goodbye T. So if we see the property of this function, then we can say that it's period will be to buy by eight by. Okay, so this will cancel out each other on we will be having four. Okay, so we will have we having the period that it's one by four. Now it's amplitude. Aziz, the graph is not continuous. So let us right. It's strange. It would be better to when you explain instant off its amplitude because it Richard doesn't exist now it's strange. Will be from Manus. Infinity to man is infinity toe manage one union want to infinity. So if you match these two property with the given options given in our book, then we were able to see that our graph, which and the gravity is matching, is the graph has given in option J. Okay, so this is our answer, That's all. Thank you very much.

Yeah. Okay. So we have a function F of X. We set it equal to wise we have wise equal to two X minus nine. We interchange our X. And or Y. So we have X. Is equal to two. Why minus nine? Soften for why? It just gives us that we get X plus nine is equal to two Y. So therefore why why is equal to X plus nine over two? So therefore we discuss well go ahead then and that's equal to f inverse. So we have F inverse of X is equal to X plus 9/2. Okay so now one of the terminal letter that negative five represents. So we just replace ffx with negative five in the given function and find X. So we've got negative five is equal to two X minus nine. Um Sound effects here gives us a negative five plus nine. So that's four is equal to two X. So therefore access equal to right. So therefore negative five negative five represents the tooth or the second letter, The tooth letter um Which is be right, Which is B. So um next we find um what nine represents. Now we replace FX with nine. So we have um again we set FX equal to nine. We have nine is equal to two X minus nine. And south for X. So here we just get nine. Well it's equal tax. Um So therefore nine represents the ninth letter, right? Nine represents the ninth letter, which is which is I. Um And we find the rest of the letters in the same manner and we find that five represents G. Um Nine represents I like we found already 27 represents our 29 represents s uh negative one represents D. 21 represents oh 19 represents N. 31 represents T. Mhm. Three represents C. Um 27 we found is already are and 41 represents represents why? So, the encoded message here becomes big girls. Don't cry, Big girls don't cry, Big girls don't don't cry. All right, take care.


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