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Given:3x + Ve9X+4v:: -8ZndyAV= 3B.V = -4CV=4DV= =3...

Question

Given:3x + Ve9X+4v:: -8ZndyAV= 3B.V = -4CV=4DV= =3

Given: 3x + Ve9 X+4v:: -8 Zndy AV= 3 B.V = -4 CV=4 DV= =3



Answers

$3-32$ Differentiate the function.
$$F(x)=\frac{3}{4} x^{8}$$

Okay In this problem we are given the integral from 0 to 2 of F. Of X -3. D. x equals eight. And they kind of ask us an obscure question but if we just let you equal x minus three um then do you would equal dx in the problem. So by using that substitution we can then come up with a new expression um that we can substitute U -X -3 with you and we can substitute that D. X. Is equal to do you and they're still equal. Um But you also need to change your bounce. So with everything be in terms of X up here We can plug in one in for X. So in terms of you, 1 -3 would be negative too, plug in to in here. Um Oh man those terrible math. It was 0 -3 is negative three and then two -3 would be -1. Um Which is actually what they ask for their asking you for this thing which is actually equivalent to this first problem. So the answer is still eight. Uh and that's it, that's your answer. They just shift the graph to the right Or to the left. three units. Yeah, it seems weird, but yeah, this is the right answer.

If you're given that G of X is equal to 2/3 X -8. And then asked to evaluate what is G ob 3/2 x plus 12. All they want for you to do here is where you see X. You're now going to substitute in this entire expression. Okay so here we see That it says 2/3 but where we see X we are going to input This expression so this will be 3/2 X. We're actually going to racist. Make some more room plus 12 And they're still at -8 there. Okay? So after you've done this now, it's just some simple distributing combining like terms, So 2/3 times three half exes one X. And then 2/3 times 12. It's going to be eight And then that -8 from before we just keep that there. Okay, so here we go. G uh 3/2 x plus 12 actually equals X. And that's your answer.

Control number 17. We have a triangle G, h j and ABC at the mid points off G H S, D and G, respectively. Oh, okay. So these these all are equal. Now, two more things begin is being given a B value off a B and value off to works. Ah, value of gj. So according Toa midpoint Terram, since A and B are mid points off G s and S g. So according to the midpoint, sure. Um, if he should be parallel toe gj, we should be battle to GJ and we should be half off GT. Okay, so we have been provided with a B, which is three x plus eight equals the half of gj that it two x plus 24 so three X plus eight equal to half into two x plus 12. These two will get canceled out. So three X plus eight equal to X plus 12. So it's subtract 12 from both x from both the sides. It will be two works plus eight equals 12. Now subtract uh eight from both the sides. Two weeks will be equal toe four now divide both sides by two x will be equal to two. Okay, so we need to find the value of a B. A. B is three X plus eight. That is three into two. Plus eight. That is 14. So a B is 14. Thank you.

The first thing we should do is take the derivative. We're just gonna be three x squared, minus three. Now we know if Primex is your when X is one X is negative. One off of zeroes. Three rifle one is one. Are you two is five. Therefore you have to is less in the inter roll from zero to excuse Merced three X plus three DX, which is less than able to 10.


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