5

Points_ Find the Laplace transform of< 4 f(t) = 3 sin(Tt), 4 <t < 5 t25F(s)...

Question

Points_ Find the Laplace transform of< 4 f(t) = 3 sin(Tt), 4 <t < 5 t25F(s)

points_ Find the Laplace transform of < 4 f(t) = 3 sin(Tt), 4 <t < 5 t25 F(s)



Answers

Determine the Laplace transform of $f$. $$f(t)=2 e^{3 t} \sin t+4 e^{-t} \cos 3 t$$.

Hi you are Today. We are going to is our problem Number 90 in this were to find the lab restaurants arm off he raises to minus 14 se fight the lapresse fans off sighing baby is being by Esquire. Bless this car in place of B P. How fight! So Kendrick Bro does five. You are but Esquire plus five square. So if you did you Mr minus four b Don't go shifting. There are it would be have off if minus Yeah judo us to ready. If it is, he has to minus 80. It will be half off. Yes, plus it so in place office, we have right as prospect. So in this we have the right in place off us people. Right? As I thought. That will be fire. They were by as plus four the whole square less five square their standoff question. Thank you

High River. Today you're going to start problem number 80. And this they had to find love. This transfer off here is to you d growth 40. We're not allowed breast times off course for the is yes. Buy Esquire less b squared in place off the it is full so we can write as they were. But as square plus full square. So because of the shifting terror, here's to de we can try. Replace s by s minus tree they were in by It's minus three. The whole square plus foursquare That is the last western from the rest of three Call for thank you.

Hello, River. Today we are going to sort problem. Number night. Hear, Hear! Even 50? Yes. You got the bumper three minus four. Me in tow. B minus for the hoc. You into your for a in today. So you know, left breast on some off us today Entered The cure is a girdle three factor bar Do I don't play? Yes, it is 23 person Because off this evil er minus weren't here. Ploy Don't become s the infected by yes minus one. Hold up our food. But play second You think the other? They're percentof different become. You know that part off? Why For us? Yeah. Don't the effect, Director by Yes, my Nesler Hope it apart. Foot. That's a tough question. Thank you.

This problem with given the applause transform of some function and there's three over S squared plus four, we're told to use the inverse of philosophers and to find out what that function is. So first we should simplify this so we recognize what the form is right now. The three over S. Where what we do here is us pluck squared plus two squared. And I can look at this, it looks a lot like this, where we have a over S squared plus a squared mm. So we try to get that in. So we try to get our initial problem into that form, we can bring into 3/2 times two over S squared plus two squared, Which we can bring a three or 2 out 3/2 times um to over S squared plus two squared. Mhm. Now we know this is just the local transform of assigned function. 3/2. Um The Laplace Transform was sign of two T. And then we can find that the answer is just 3/2 times sine of two T. Who


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