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NationalTutoringObservatory
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MathEd-PII

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volunteer
Are you doing little calc you know how to take a derivative? Is this calculus?
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student
Yes, this is a, this is AB cup where this is like our AP family.
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volunteer
Oh you, oh, you're an AP count. OK. OK, I used to teach that. All right, so you want to find the, uh, what I would call um the minimum and maximums.
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student
Oh yeah, I do know what the meaning of a maximum is.
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volunteer
OK, so you're doing, this is AP calculus. All right, so you're trying to figure out what the maximum volume in the box could be.
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student
yeah
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volunteer
OK. All right. So, all right. Well, that's a whole different story than now, so you don't really need the
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volunteer
you know, this, I mean, you could put 0. 1st of all, let's, let's, uh, can you multiply out via X and then we'll take a derivative. Or do you know what the product rule is?
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student
Yeah, but like our sir asked us to find the turning points of the graph and finding like the X for the X coordinates for each of these points by using the formula and I think it's the best way that we follow, we follow the formula along, we follow this.
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volunteer
OK
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volunteer
All right. Let's see, let me look at what she saw.
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volunteer
volume
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volunteer
the zeros or X intercepts. All right, so we found the zeros. All right. Now let's multiply out via vaccine.
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student
OK
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volunteer
Let's, let, let's multiply that. Once you multiply that out.
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student
Uh, I have it in my notebook. 14 x 13 X to 14 minus 2 x is 28 X, and 2 x 2 x times 3 digit.
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student
OK.
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volunteer
Well, well, let's just, can you, uh, can you write it down? Yeah, I, you know what, I have a special
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volunteer
I just, let me try my stylist here, and I'll write it down so we can see it. I think I
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student
OK.
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volunteer
I had trouble writing with my um
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student
Um,
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student
OK
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volunteer
I have trouble riding with, OK, let's see it here.
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student
40 times. What's the special, oh my God, I hate this house. 14 x 13 X. 0 my God.
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volunteer
Yeah, here, let, let me, um, if you, if you gave me this, uh, well, I'll tell you what, you put it down. I'll, I'll calculate it too.
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student
I
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student
s
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volunteer
OK.
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student
182
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student
um
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student
this
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volunteer
14 times 13.
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student
So negative 50
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student
5 X. On ale
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student
It's not 3.
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student
Oh
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student
and then you had an X.
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student
Oh.
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student
and
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volunteer
Hmm.
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student
Wow
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volunteer
What's 14
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student
it's
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student
Mhm.
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volunteer
What'd you say 14 times 13 X.
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student
Oh, it equals
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student
It's.
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volunteer
Oh yeah, 182
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volunteer
minus 27 X plus.
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volunteer
4 X
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volunteer
So it's gonna be
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student
Mhm
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student
108.
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student
OK.
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volunteer
OK, so what was your
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student
Hm, I'm not it
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volunteer
what was your answer? Uh, it should be.
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student
it
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volunteer
let me do this cause it's a hard trouble reading. Um,
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student
but
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volunteer
is that, uh, are you getting like
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volunteer
4 X
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volunteer
uh, cute.
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volunteer
minus 27 X.
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student
you like, and so my hands so I can. I'm not yet done. I, I only have the base like for the for the what they call again for the
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student
uh
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student
I only have the one for the foilat and I did not multiply it with axia, 4x2positsia, I mean, why am I speaking my native language and I stress. OK. Uh, 4 X cubes minus 54 X^2 minus NO + 182 X I correct?
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student
I will write this. 4 X raise a power of 3 minus 54 X^2 54 x squad.
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student
U
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volunteer
OK. I don't
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student
you to um.
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volunteer
I don't have 54X. Let me, um,
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student
whoa
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student
let me redo this then
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volunteer
I, I have 27, I have 27X. I don't know.
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student
like 26. I have 54 cause like when you multiply 14 times to x.
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student
It's negative 28.
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volunteer
Oh, you're right, you're right, you're right, you're right. You're absolutely right. 54, you're right.
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volunteer
You you are correct
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student
Oh yeah, OK.
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volunteer
OK, well, let's um
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student
They are coolly. OK. The next part is since we already have the formula and then we just extract the zeros.
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volunteer
let's make sure we, let's write down the formula for volume. Let, let me see if I can do this.
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student
4x^3 -54x^2+182x
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volunteer
I got this uh pad here. Let's see how this works.
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volunteer
Um
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student
OK, let's go.
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student
OK
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student
OK.
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volunteer
I go up here, I'd say V(X), oops.
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volunteer
Nope, that's not working here.
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volunteer
Is that you oh
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student
Oh my God
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volunteer
Mm
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student
And
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student
then
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volunteer
Mm, my thing's not working. Let's see.
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student
uh, it's OK. I will do it.
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volunteer
Oh
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