5

Crh6 Cos C2t)6 sin (2+ 2 (n amputode5 Cr) pias € RormPetemnine no maxini Ve( Ur c aa euneri n 9 G) rom^ ne Prcv_ Par+ akd potcblcs alu & wlere_ 4 U attaln...

Question

Crh6 Cos C2t)6 sin (2+ 2 (n amputode5 Cr) pias € RormPetemnine no maxini Ve( Ur c aa euneri n 9 G) rom^ ne Prcv_ Par+ akd potcblcs alu & wlere_ 4 U attalned010 Pa_81 lzeve

crh 6 Cos C2t) 6 sin (2+ 2 (n amputode 5 Cr) pias € Rorm Petemnine no maxini Ve( Ur c aa euneri n 9 G) rom^ ne Prcv_ Par+ akd potcblcs alu & wlere_ 4 U attalned 010 Pa_ 81 lzeve



Answers

$$8\left(\cos \frac{5 \pi}{6}+i \sin \frac{5 \pi}{6}\right)$$

In this video, we're gonna go through the solution to your question 34 in chapter 4.5. So for us to find the form off the particular solution to this equation. So we see that the inherited genius part is some linear combination off assign scientist E on dhe opportunity so well motivated to use a form which has science and causes Ah, a t. Based on this first, it's in his first term in the inn homogeneous part. So that's a constant, eh? Times sign t plus constant be times, because t But we also have this second term which is called to duty. So because society Tootie, you're gonna be off marginal to sign of tea and cause a t. So we're gonna need two more. Constance. Yeah. Say see its constancy time Sign of two t was constant d times cause this looks like it will work. We also need to check that the auxiliary equation isn't gonna give us any problems. So the auxiliary equation for this is gonna be Oscar. It might five for six course to zero. Sorry. Should be Ah huh. And this House solutions eyes equal to two on three neither of which are equal Thio or two I, which is what could have caused problems. Because we have one here two years. So that's what we're happy that this form off the particular integral is gonna satisfy well.

We know that if a complex number is equal to our sister to it's and the power is given by its replacement equal to are raised to in Indo since anti to So here we have a result. Call six plus I scientists always to 30 equal to cause one native plus I signed my native. Then we can say that call six plus. I say I'm six. Is there 30th wrote of the complex numbers, of course, Barn 80 plus I say in vanity. This is the great answer.

Well in this problem we have to find the value of course into the Power six theatre. By choosing the appropriate option. Now let X as equals two was scientific Douglas iota. Scientific them Then run upon x. s. equals two Scientific down minus. I am trying to science data now we have express one upon X. To the power six is equal to 2 to the power six into consigned to the power 60 to by dividing two to the power six on both sides. We get consigned to the power six. Theta is equal to one up on 64 into express one upon X. To the power six. By simplifying it we get Van upon 64 into X. To the power six plus six into extra the bubble full plus 15 into X. Square plus 20 plus 15 upon X. To the power to plus six upon extra. The powerful full plus one upon X. To the power six. Father we get one up on 64 into X. To the power six plus one upon X. To the power sets plus six into X. To the power four plus one upon X. To the power fall plus 15 into X squared plus when upon X square last 20. And finally by simplifying it, we get Vanna Bonta D do into Cozy in 60 to plus Sex intercourse in 40 to plus 15 into Gaza into theatre plus 10. Hence option B. Is correct. Yeah. Mhm.

I have a unit of expression or find out evaluated. First union. Let's walk on this. So we have this we have to be here in the car. Mhm mhm negative prosecutor with negative behavior. We have native art Will be the liberal seven time coming up to be here for America The theatre department 85 or do our mother will be To the bar over a 4th Union so far we have drug next movie in the bar. Back to Eden the barbie. How that it isn't the guardian it's a virus. It was one of these things have to be here is the power negative I order or being beaten another dime bar negative. Our team leader or period of the movie under 40 data will be a little bar negative zero to party stay here now for other Syrians medical I took best friends but added we get into the part negative 29 leader all the more advanced. We have to be here here to the bar. Ira heading either you get what we're going to be either about the law explains you're part native american Atlanta dating according to data just to get no goal. You know one of the other thing that we fall negative. We're guaranteed to, but they were government Sign -47 either that would be cool for the television and they were designed. What does that mean? Yeah. And for that regarded so open a door and I think this is not my thing. This is not my thing. Um yeah. Do you have an entertainment over these here. So this must be done in football for 17. The negative virus. 9:47 ft. Thank you.


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