Work Problem 1 (15 points): Find a) L{4t + 8sin(58)} b) L{Te'cos(6t) + e7tt}.Instructions for answering this question: The answer to this question is required ...

Perform the indicated operation, and write each expression in the standard form $a+$ bi. $$ \frac{13}{5-12 i} $$

Hello everyone in the grand question we have to simplify. I ordered to be power 23 like. So they approached us all. This question is we should remember the four powers of Toyota. I ordered it Bhavani soda. I ordered a square is -1. I wrote a Cube is -6. And I are talking about for this one. So after this I did it before. After the 4th power I order will repeat its values right? So similarly out at about five is equals Toyota. Alright that is both sixties minus one. I ordered about seven is -6 And power the 80's 1. So after each fault power the value of the expression will remain same. So this is the approach to solve this question So we can write it as I rotate it about 20 and Toyota cube All we can write it is I heard about 4 to about five into other cuba. Right so now we know that I heard about forties one so one to about five And I had a QB -6. So we get one into -6, which is equal to 0 to. So this is the final solution and it is in the standard form. Thanks.

Hi everyone. I understand question where to perform the integrated operation and we have to write our solution in the standard form. Right? So since it is a decent problem. So the approach this whole discussion is by nationalisation. Right? So they rationalize this. We have to multiply up and down with that the the contributor of the denominator. So the contributor of the nominee. There is one plus zero to Right? So now we have to simplify this. We can simplify this with the help of distributed to our body. So we get to into one plus soda last three are dying to one plus hour down and then my mother will become a square minus B squared. That is one is Square -6 is square. So we get with the help of distributive property. Do blessed weather last three hours plus three hours? I square divided by one minus paradise square. So further simplifying two plus fire to since I gotta is squared equals two minus minus one. So we can write it as Plus tray into -1 And we can replace our described by -1. So you can simplify this, we get minus one plus fired. They are led by two. All. We can write it as minus one by two plus five by two other. So this is our finance solution and it is in the standard from.

Hi I want the young question. We have to perform the indicated operation and we have to write our solution in extended form. The question is one plus I read the whole square. So they approached us all. This question is this is similar to a plus B. Holy square which is a close to a square plus to a B plus b square. Mhm. So the heart of this formula, we are going to simplify this So you can write it as one square Plus two into 1 into ι,, bless Holiday square. So we get one plus two iota And we know that ι is quite as it goes to -1, so minus one Which is equals two geo plus Toyota. All we can write this to where to. So this is a completely imaginary number and it is in the standard form so I'll find a solution is to order. Yeah.

So the young question we have to simplify the expression And the expression is here to about -20. So the approach to solve this question is we should remember the four powers of I owe to the desirable 1 ι.. I ordered square this -1. I had a QB -6 and I added the before this one. So after the fourth power, the values of the iota will the peak late. So this is the approach into all discussions so you can write it as one upon. I ordered it about 20. All we can write it is one upon ι to depart full to the power fight. And we know that I heard about for this one. So one by one to the par five Which is equal to one. Right? So this is a real number And the final solution is one. Thank you.