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8
volunteer
and that would mean that um
16,993
548
[]
volunteer
our
16,993
549
[]
volunteer
either a trapezoid rule or right rim and sums, whatever approximation method we're using would become very close
16,993
550
[]
volunteer
I was like infinitesimy close to what the actual change in function is.
16,993
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[]
volunteer
Infinitesimally. There you go, cause say it properly.
16,993
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[]
volunteer
Let me give you a couple of minutes
16,993
553
[]
volunteer
just to kind of mull over
16,993
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[]
volunteer
um everything we've talked about
16,993
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[]
volunteer
and, uh, give you time to kind of come up with any questions or anything you don't understand.
16,993
556
[]
volunteer
And then we can go on to the practical application and just kind of working on the problem.
16,993
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volunteer
and what it and what it means, what we're actually doing.
16,993
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volunteer
Do you want me to keep the um
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[]
volunteer
calculations on the board or can I get rid of some stuff because we're gonna need some space later.
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student
for a i is 7000.5
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561
[]
volunteer
Um
16,993
562
[]
volunteer
I can't confirm it and I haven't actually evaluated yet. Let me, um,
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[]
student
and b i is 7000
16,993
564
[]
volunteer
take a look at it. Uh.
16,993
565
[]
volunteer
and B you got 6295.
16,993
566
[]
volunteer
All right. Give me one moment.
16,993
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volunteer
So
16,993
568
[]
volunteer
Yeah
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569
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student
yeah its good?
16,993
570
[]
volunteer
I got 6625.5.5 for a
16,993
571
[]
student
ummm
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572
[]
student
are you sure..
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[]
volunteer
can you show your work
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[]
volunteer
on the board
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student
kk
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576
[]
volunteer
Uh
16,993
577
[]
volunteer
By the way, one thing you can do for your um
16,993
578
[]
volunteer
calculations
16,993
579
[]
volunteer
is if you notice
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[]
volunteer
that this summation
16,993
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[]
volunteer
um for I
16,993
582
[]
volunteer
that delta T is independent of I. The step size remains the same for every iteration.
16,993
583
[]
volunteer
So what this means is
16,993
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[]
volunteer
is that you can factor out.
16,993
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[]
volunteer
this delta T term
16,993
586
[]
volunteer
so that you just have this delta T times the sum.
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[]
volunteer
of every average value.
16,993
588
[]
volunteer
over the interval
16,993
589
[]
volunteer
All right? So it'll just be kind of like this delta V over 2.
16,993
590
[]
volunteer
All right let me just do this. Var.
16,993
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[]
volunteer
for I
16,993
592
[]
volunteer
That's a little shorthand for you
16,993
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student
ok can you see my work
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[]
student
its in green at the top of the board
16,993
595
[]
volunteer
i can't see it
16,993
596
[]
volunteer
Let me try refreshing the page to see if that works.
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student
ok lmk
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598
[]
volunteer
So I refreshed the page but I don't see your work. Also, I got 6295 for B.
16,993
599
[]
volunteer
I can't see your work. Let me show you, let me show you mine, I guess.
16,993
600
[]
volunteer
I don't know why I can't see your work
16,993
601
[]
volunteer
Um, so I said that
16,993
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[]
volunteer
I said S is equal to.
16,993
603
[]
volunteer
5900
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[]
volunteer
plus
16,993
605
[]
volunteer
1.5
16,993
606
[]
volunteer
times
16,993
607
[]
volunteer
the average of
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608
[]
volunteer
each, so I got
16,993
609
[]
volunteer
50
16,993
610
[]
volunteer
+
16,993
611
[]
volunteer
125 plus
16,993
612
[]
volunteer
155 plus.
16,993
613
[]
volunteer
140 plus.
16,993
614
[]
volunteer
105 + 100.
16,993
615
[]
volunteer
And that's how I got my answer
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[]
volunteer
for a
16,993
617
[]
volunteer
hello?
16,993
618
[]
volunteer
Hello
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619
[]
volunteer
Yeah, I'm not sure why you're, I can't see your work.
16,993
620
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student
can you see my work in word form
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621
[]
volunteer
Oh
16,993
622
[]
volunteer
never mind. I think you're right. I put in the wrong value
16,993
623
[]
volunteer
I got 6625.5 instead 7000.
16,993
624
[]
volunteer
because our answer is we'are 7000 off, so I think you're right. Let me see where you wrote it down.
16,993
625
[]
volunteer
You got 6625.5.5. You got 6295.
16,993
626
[]
volunteer
Yeah. So your A is correct.
16,993
627
[]
volunteer
And what did I get for B
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628
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student
oh ok ok
16,993
629
[]
volunteer
6995. So it's 2662.
16,993
630
[]
volunteer
Let me double check
16,993
631
[]
volunteer
Can I see your work in word form
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632
[]
volunteer
OK.
16,993
633
[]
volunteer
I see, I see the text. I don't see all of it. I just see T equals 2
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volunteer
and 1.5
16,993
635
[]
volunteer
Let me double check. What did I do? So this should be
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636
[]
student
6295 for b
16,993
637
[]
volunteer
I don't know why I got 6625.5 from. I'm just uh
16,993
638
[]
volunteer
I'm kind of dyslexia
16,993
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[]
volunteer
So let me redo my maths.
16,993
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student
its ok
16,993
641
[]
volunteer
Yeah, I got 6625.5 for
16,993
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[]
volunteer
um it looks like A.
16,993
643
[]
volunteer
and then let me look at
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644
[]
volunteer
Sorry for confusing you
16,993
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volunteer
I
16,993
646
[]
volunteer
Yeah, 6295 for me.
16,993
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