role stringclasses 2
values | content stringlengths 0 2.1k | session_id int64 10 21.7k | sequence_id int64 0 2.38k | annotations listlengths 0 8 |
|---|---|---|---|---|
volunteer | I'm sorry, say again | 8,595 | 1,561 | [] |
student | The uh 12 cubic centimeters. | 8,595 | 1,562 | [] |
volunteer | So it is, let me go back up to the top and read it with you. | 8,595 | 1,563 | [] |
volunteer | So the volume remains constant at 12 pi cubic meters. | 8,595 | 1,564 | [] |
volunteer | So what does that say about DVDT? | 8,595 | 1,565 | [] |
student | Uh, that is constant. It's 0. | 8,595 | 1,566 | [] |
volunteer | Yes, that's the key right there. So that's a little bit of a trick. | 8,595 | 1,567 | [] |
volunteer | DVDT is 0 because they're telling you that it is a constant. | 8,595 | 1,568 | [] |
student | No | 8,595 | 1,569 | [] |
volunteer | And we know that the derivative of a constant is zero, so that first term | 8,595 | 1,570 | [] |
volunteer | gets blown away, right | 8,595 | 1,571 | [] |
student | Right | 8,595 | 1,572 | [] |
volunteer | OK, let's see how we're doing. So you already know you got age. Let's see, what do we have V and DHBT? | 8,595 | 1,573 | [] |
student | The position is negative, um, 1 m. So just -1. | 8,595 | 1,574 | [] |
volunteer | Um | 8,595 | 1,575 | [] |
volunteer | right, shrinking. And what is | 8,595 | 1,576 | [] |
volunteer | uh B | 8,595 | 1,577 | [] |
student | And then the V is the 12 pi. | 8,595 | 1,578 | [] |
volunteer | You got it. So let's plug in and see what you get for t at. | 8,595 | 1,579 | [] |
volunteer | as the A equals. | 8,595 | 1,580 | [] |
student | OK | 8,595 | 1,581 | [] |
student | Mm | 8,595 | 1,582 | [] |
student | I'll just write it on here | 8,595 | 1,583 | [] |
student | OK | 8,595 | 1,584 | [] |
student | over | 8,595 | 1,585 | [] |
student | So is it basically to for high overnight. | 8,595 | 1,586 | [] |
volunteer | Mhm. | 8,595 | 1,587 | [] |
student | You have to fur further, yeah, we can further do it but I really. | 8,595 | 1,588 | [] |
volunteer | Mhm. | 8,595 | 1,589 | [] |
student | free and cover. | 8,595 | 1,590 | [] |
student | and then | 8,595 | 1,591 | [] |
student | not forgetting the | 8,595 | 1,592 | [] |
student | so. | 8,595 | 1,593 | [] |
student | need | 8,595 | 1,594 | [] |
student | ter s and meters | 8,595 | 1,595 | [] |
student | That. | 8,595 | 1,596 | [] |
volunteer | So let's see what you you're talking the BOD things so | 8,595 | 1,597 | [] |
volunteer | everything's in uh | 8,595 | 1,598 | [] |
volunteer | square meters, right? | 8,595 | 1,599 | [] |
student | per hour | 8,595 | 1,600 | [] |
volunteer | Um | 8,595 | 1,601 | [] |
student | square meters | 8,595 | 1,602 | [] |
volunteer | let's see | 8,595 | 1,603 | [] |
volunteer | We, let's see what they say. | 8,595 | 1,604 | [] |
volunteer | Yeah, meters and square meters per | 8,595 | 1,605 | [] |
volunteer | uh | 8,595 | 1,606 | [] |
student | per hour I mean | 8,595 | 1,607 | [] |
volunteer | where did they say the time? | 8,595 | 1,608 | [] |
volunteer | Oh, I'm gonna | 8,595 | 1,609 | [] |
student | like just below | 8,595 | 1,610 | [] |
student | where it says um | 8,595 | 1,611 | [] |
volunteer | call per hour, I see, right. | 8,595 | 1,612 | [] |
student | yeah, for uh | 8,595 | 1,613 | [] |
student | OK. | 8,595 | 1,614 | [] |
volunteer | So the square meters per hour, right? | 8,595 | 1,615 | [] |
student | And it is square meters because we're finding that DADT, which is the derivative of the uh area, right? | 8,595 | 1,616 | [] |
volunteer | Correct | 8,595 | 1,617 | [] |
student | OK. | 8,595 | 1,618 | [] |
volunteer | So that's kind of what we're just basing it on, yeah. | 8,595 | 1,619 | [] |
volunteer | So | 8,595 | 1,620 | [] |
volunteer | let me just step back for a minute and think about what you got here. | 8,595 | 1,621 | [] |
volunteer | So we know that if the if the height is shrinking | 8,595 | 1,622 | [] |
student | Mhm | 8,595 | 1,623 | [] |
volunteer | and the thing is staying constant. I'm just thinking out loud here. The area must be going up and you have a positive area, right? | 8,595 | 1,624 | [] |
volunteer | Cause | 8,595 | 1,625 | [] |
volunteer | so what I'm, I'm just thinking intuitively about your answer, which I think it makes sense. | 8,595 | 1,626 | [] |
volunteer | Um. | 8,595 | 1,627 | [] |
student | OK | 8,595 | 1,628 | [] |
volunteer | they're telling you that the volume is constant | 8,595 | 1,629 | [] |
volunteer | but that the height is shrinking. | 8,595 | 1,630 | [] |
volunteer | Therefore, it seems logical that the area is increasing or the radius, you know, radius and area are increasing, and that's what you came up with. You came up | 8,595 | 1,631 | [] |
volunteer | with the fact that | 8,595 | 1,632 | [] |
volunteer | in order for the volume | 8,595 | 1,633 | [] |
student | Well sorry you like the little Betty didn't hear what you say. | 8,595 | 1,634 | [] |
volunteer | you want me to start over | 8,595 | 1,635 | [] |
volunteer | Oh, OK | 8,595 | 1,636 | [] |
volunteer | Um | 8,595 | 1,637 | [] |
volunteer | so I'm just looking at your answer, which I believe is correct. | 8,595 | 1,638 | [] |
volunteer | Reme I'm just thinking about what the whole problem says, which could be uh | 8,595 | 1,639 | [] |
volunteer | could be kind of the answer to part E here, but | 8,595 | 1,640 | [] |
student | OK. | 8,595 | 1,641 | [] |
volunteer | um | 8,595 | 1,642 | [] |
volunteer | so they told you the volume was constant. | 8,595 | 1,643 | [] |
volunteer | in the problem | 8,595 | 1,644 | [] |
volunteer | But yet they told you the height was shrinking. | 8,595 | 1,645 | [] |
volunteer | right? | 8,595 | 1,646 | [] |
volunteer | But | 8,595 | 1,647 | [] |
student | Mhm. Yeah. | 8,595 | 1,648 | [] |
volunteer | so that means in order for the volume to be to be constant and the high shrinking that the area, the cross-sectional areas must be getting bigger, right? | 8,595 | 1,649 | [] |
student | Yeah. | 8,595 | 1,650 | [] |
volunteer | And that's what your answer your answer says, the areas | 8,595 | 1,651 | [] |
volunteer | increasing | 8,595 | 1,652 | [] |
volunteer | even though the, the height is decreasing at 1 m per second | 8,595 | 1,653 | [] |
volunteer | or per hour | 8,595 | 1,654 | [] |
volunteer | The area is increasing at 45/3 square meters per hour. | 8,595 | 1,655 | [] |
volunteer | So. | 8,595 | 1,656 | [] |
volunteer | So first of all, can you, do you know what the answer to this question is or this one? | 8,595 | 1,657 | [] |
student | Yeah, there's a, it's I can check it. | 8,595 | 1,658 | [] |
volunteer | Yeah, let's make sure we're | 8,595 | 1,659 | [] |
student | Yeah | 8,595 | 1,660 | [] |
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