5

Findat (0,2)tan(',) + Bv' 24 = 2y + 525None...

Question

Findat (0,2)tan(',) + Bv' 24 = 2y + 525None

Find at (0,2) tan(',) + Bv' 24 = 2y + 52 5 None



Answers

In Exercises $5-24,$ sketch the graph of the function. (Include two full periods.) Use a graphing utility to verify your result.
$$
y=-2 \tan 2 x
$$

In discussion. Want to sketch the graph of the function on Dhere? We need to include that your phone period and the function in discussion. He will be the wine ik 0 2.5 tension after X and now try to review the craft of tension in the X first. So let's try to do it here. E have Yeah, you be the angst and why? And now for the tension the X. We record that in his a period you go to the pie. So it means that we have the for the guys and talk. Yeah, this will be the for the cats and topped. This will be another for the question top. This will be the minus pi. Out of to this will be the pie out of two and so on here. So we have a non period here and another period on the left and square. And here for the tension on the why it would be this one here, my desk and then something here as well. And here that's gonna be the doesn't mean attention on the X. But now we want you drowned. Why would be half of attention on the X that the road, um that I have in front of me being the vertical compression. So it means that we will have the graph abilities and this one will be the compression will be this one and this in the square And the cramp one b and a half I'm that tension on the X.

In this problem we have to for we have to solve the given equation to 10 eggs. I is equal to then two x. Yeah, so okay to 10 eggs is equal toe to 10 eggs born one minus 10. So correx sins tend to x is equal to to dan eggs upon when minus Dan Skeptics. My cross multiplication We can write as one minus 10 Scared eggs is equal to to 10 eggs on to Dan X, which is equal toe one minus trends. So Care X is equal toe one. So we have minus 10. So Care X is equal toe when minus one minus Trains to care eggs in equal tau zero multiplying by minus one On both sides we have trains who care X is equal toe zero checking security on both sides Again we have 10 X is equal toe zero. They symbolize that X is equal toe trained in worse off zero we know that 10 is equal to zero for X is equal to zero Oh, are X is equal to why so all the possible values off X, for which 10 is equal to zero is and by where and is any in treasure Onda by is the better off don't. So this is the required solution off the given equation.

In discussions equation is given access choir plus many square why negative 10 times back negative two times. Ben White Positive 26 equal to zero. So here we have to find the value X and Y. To hear that equation you can write like that Danny square White negative two times. Then why plus one plus access square negative 10 X plus 25 equal to theO. So here we know that that is a square all then why negative one floats correct? Plus it's quite all act negative fight equal to zero and therefore and like equal to one all Of x equal to five. So here we can find a solution for 10 by so here why equal to and buy clothes then we want Uh do the high .43 ready in five and 4 and I put here five on 4 and here and elemental interior. So here the value of X which is five and the value of Y. Which is. And pipe layers pipe on fall. So our finances five comma and by Plus 5.4. So it is a my answer which is option B.

Our task is to solve for Y in this problem. So it wasn't that y minus five squared plus 12 is equal to zero. Uh, so when you're solving a problem like this, you want to get the squared all by itself. In other words, I need to get rid of this plus 12, which I can do that by subtracting 12 to the right side. Um, zero minus 12 is negative 12. And this y minus five squared is all by itself, like I want now. A quick explanation is that it's impossible for a number when I square it to give me a negative because even negative squares are positive. Negative, positive. So we're going to get a non real answer. Unreal solution. But what we can also do is we can we can square root and we can use this complex number plus or minus, um, square root. Now, the way I'm going to show this is I'm going to factor tree. 12 down is four and three and two and two, so you can bring a pair of twos in front. I'm well aware that some teachers would prefer seeing well, you have the I, uh and rewriting as the square to four times the square of the three because the square root of four is, too. But that's another teaching strategy for you and on the left. I just have that y minus five. So to solve for, For why is to add five to the right side and because that's a real number, the whole number we cannot combine it with this imaginary, this complex piece. So I just leave our answer like this Mhm.


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