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NationalTutoringObservatory
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MathEd-PII

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8
volunteer
OK, so here's the final, this is part D, right?
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volunteer
Oh
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student
Yeah, that's the final two.
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volunteer
OK, so the final two.
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volunteer
So,
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volunteer
they asked you to do
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student
OK.
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volunteer
they asked you to do a couple of things here. You've got two formulas you came up with.
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student
Mhm
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volunteer
I'm just kind of speaking out loud for my own.
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volunteer
benefit too. You got 8 equals 12 over y.
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volunteer
and you've got A equals V over H, right?
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student
Mhm
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volunteer
So
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volunteer
um
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volunteer
it seems to me that they're kind of
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volunteer
you want, they want you to
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student
No.
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volunteer
find the value of DADT.
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volunteer
and
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volunteer
you already sawurH.
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volunteer
Um, let's see
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volunteer
at Boston.
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[ { "pii_type": "LOCATION", "surrogate": "Boston", "start": 3, "end": 9 } ]
student
So, are you, so do we basically like now differentiate the A over VH or over h.
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volunteer
Um
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volunteer
that's what it looks like
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volunteer
So I think we just follow our noses and try to do what they're saying, right?
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student
Mhm
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volunteer
So
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volunteer
um
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volunteer
we are given
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volunteer
they're saying add H equals 3, right?
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student
Yeah
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student
Well, so do you want me to do it
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volunteer
Well, I'm thinking about what
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volunteer
uh, I'm thinking about what
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volunteer
the step is here. So let, let me take a couple of minutes and just think about this.
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student
OK
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volunteer
OK
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volunteer
So I think you have everything
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volunteer
that you need, but it may not seem so obvious.
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student
OK
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volunteer
So if we just follow, we just follow um
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volunteer
the formula that you got A equals V over H.
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volunteer
What would you do to find DADT?
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student
We repeat that for a second, sorry.
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volunteer
So, so you, you solved, you did Part C and you got A equals
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volunteer
B over H, right
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volunteer
B over 8
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volunteer
right?
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student
Yeah, be over age, yeah.
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volunteer
OK, so now we want to go ahead and compute the ADT, right?
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student
Right
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volunteer
Now,
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volunteer
what's interesting is that both the volume
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volunteer
well, let's see, do they tell us
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volunteer
at the beginning
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volunteer
volume stays constant. That's interesting.
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volunteer
OK.
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volunteer
Um
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volunteer
so
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volunteer
if, if we were just doing a math problem, and we had A equals V over H and we take a derivative with respect to time.
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volunteer
What formula would you use if you have that?
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volunteer
in front of you? What, what would you
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volunteer
remember VNH are
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volunteer
um
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volunteer
let's just think of it as variables.
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volunteer
Well, I'm gonna make it, I'm gonna make it simpler than that
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volunteer
I don't need to make this complicated for you.
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volunteer
So don't, don't they tell us
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volunteer
that
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volunteer
well
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volunteer
I can kind of tell you what to do, I guess. You got to take the derivative of A with respect to T, right?
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student
Right
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volunteer
So, you're looking at this
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volunteer
if those are what when you use the quotient rule to determine DADT.
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student
Mhm
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volunteer
denominator times derivative numerator minus numerators, temperature.
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student
Yeah, I know that much
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volunteer
denominator, all of the denominating square. So that's the way I was thinking of it of answering.
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volunteer
So we could go ahead and do that
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volunteer
um,
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volunteer
and see what we get and then hopefully we'll be able to plug in and get the answer.
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student
Uh
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student
Mhm
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volunteer
Excellent
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volunteer
All right, now the question is, do we have everything we need here to answer to plug in, right?
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volunteer
So we'll
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student
Yeah, let's see. So we do have the H, which is the 3.
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volunteer
good
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volunteer
So we know that
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student
And then, yeah, we have the
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student
oh
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student
We don't have the DVDT.
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volunteer
Yeah, we do, but it's kind of hidden.
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volunteer
So what do you think the
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volunteer
go back to the problem and read what it, like one of the first things it says there.
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student
OK
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volunteer
FIFA kind of
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student
The top *****, uh, the 12 5 cubic centimeters. Isn't that the B?
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