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Outsourcing of Jobs The cumwlative numter of jods approxima edurcec Jyereese JY U.S Jased mwnatonaTrom 2005through 2009N(:)O.0s(t + 1.1)2.2 0.7: + 0.3 (0 < t { 4...

Question

Outsourcing of Jobs The cumwlative numter of jods approxima edurcec Jyereese JY U.S Jased mwnatonaTrom 2005through 2009N(:)O.0s(t + 1.1)2.2 0.7: + 0.3 (0 < t { 4)where NG:) mesumec whol numcecmilliona How fast was the number cf U.S.jobsthatwere outsourced changing 2006 (= 1)? (Round Your anskiers to the nearestjob: Per Year

Outsourcing of Jobs The cumwlative numter of jods approxima ed urcec Jyereese JY U.S Jased mwnatona Trom 2005 through 2009 N(:) O.0s(t + 1.1)2.2 0.7: + 0.3 (0 < t { 4) where NG:) mesumec whol numcec milliona How fast was the number cf U.S.jobsthatwere outsourced changing 2006 (= 1)? (Round Your anskiers to the nearest job: Per Year



Answers


The cumulative number of jobs outsourced overseas by U.S.-based multinational companies in year $t$ from $2005(t=0)$ through 2009 is approximated by $$ N(t)=-0.05(t+1.1)^{22}+0.7 t+0.9 \quad(0 \leq t \leq 4) $$ where $N(t)$ is measured in millions. How fast was the number of jobs that were outsourced changing in $2008(t=3) ?$

Okay. This question the number of outsource job in the US. that has given us. NT Okay. And it is a cost 0.00184-5. T plus five raised to the power 2.5. Where T. Is from 0 to 15. Okay. And and is the number of outsource job? Okay. That is in millions. And where T Is the time in? Okay. And in years where T equals to zero denotes too corresponding to year 2000. Okay. Now we have to find out part what was the projected number of outsourcing of four? 2005. So 4, 2000 and five. It is also given to close to five. We can also take to close to 0 2000. So 2000 and five. T will be five. So we have to find out and five. So we will put the cost to five years. It will be 0.184 to five. It will be five plus five whole days to the power 2.5. And when we saw it will be 0.184 to five. It will be 10 raised to the power 2.5. Now we will use a calculator. And when we solve it will be 0.582650 million. Or we can say it will be Uh 580 2650 numbers of outsource jobs. So this will be the final answer a party. And now we will do the part. We will go for the part B That is okay. That is for the year, for the ear here. What is asked for the year? 2013. Okay, so 2013 T will be 13. Okay, so now we will put the 1st 2, 13 here and it will be and 13 It will be 0.184 to five. And it will be T plus five. That in 13 plus five raised to the power 2.5. Okay. And now we will solve this. So it will be I can say and 13 0.184 to five. And it will be 18 raised to the power 2.5. And now we will use calculator and it will be when we saw this will be two point 532, 8 million. Okay. So we when we convert in the numbers it will be 2,530 2800. So this number of jobs left in 2013. Thank you.

Next equation here first is we're for part A. We're trying to find out what the indexes at 1990 which was so T. Equals zero is actually equal to 1990 period. So when we plug in uh I have zeros, we plug in 50 we get 50 and then before 2011. So that would be t. Is equal to 21. And that gives you 2011 here. So then we want I of 21 then we plugged it in, that's equal to 50 E. To the 500.5 times 21 here, which is approximately equal to 1 40 2.8 88 here. It says approximately 1 43. Okay, so I got those two for party there and then so for part B it's asking for a sketch using the tools here. So then we've got so 50 over here, so you're like 1 43. So it's been like 21 right here. So then just look like that. Okay, snow for parts see so it says to find the half nasty index was changing in the year 2000 and so we wanted to find my prime of 10 since 1990 to 2000 is 10 years. Okay, So first thing we need to do is find about high prime of T. Is equal to and so that's going to be 50 times 0.5 E. To the 0.3 or five teeth. So that's equal to 2.5. Eat the 0.5 T. Here. That from here we're going to plug in 10. That's that's equal to 2.5 times E to the 0.5. That's approximately 4.12 And so it's floor per year. It is the approximate change there. Great. That's things that are

And this describes the unemployment rate and were asked to figure out how much the unemployment rate is changing at the beginning of 2013, and we're told that T equals zero corresponds 2 2010. So if we're looking at 2013, We'll subtract 2010 from it and we get three years. So really we're looking for f prime of three because F prime of T. Will give us the rate of change in the employment rate And the three will tell us what exactly it is in 2013. So to find F prime of T. We're going to use the quotient rule. So remember we take the derivative of the top, so the derivative of five. TES 5 And the derivative of 300 is just zero. And then we multiply by the bottom, then we subtract this time, we'll leave the top alone and we'll take the derivative of the denominator. So the derivative of T squared is just to T. And the derivative of 25 0. Now we'll square our denominator that. So now we can start multiplying things out. See if we can combine some like terms, cancel anything out. So we'll have five T squared Plus 1 25 minus 10 T squared -600 T. And that's all over. She squared I was 25 quantity square. So when we combine like terms we're gonna have negative five T squared -600 T plus one. I'm sorry, started factoring out of it here, we'll have native five T squared course 1 25 -600 T over D squared plus 25 corny squared. So now this stuff you don't have to do if you don't want to I like to factor out anything if I can. So I'm going to factor in the negative five from the numerator, we'll have T squared plus and I'm going to move this T term to the middle, so plus 1 20 t minus 25 and again that's over T squared Plus 25 Quantity Square. So now we're ready to plug in three and all we have to do just plug in three anywhere. You see a. T. So now you can just plug this into a calculator And you'll get f prime of three equals need of 1.5. And that's the percent change in the unemployment rate. And that's in 2013. So that will be your final answer for this price.


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