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 | excellent | 13,524 | 55 | [] |
volunteer | now how can we change 4d to d? | 13,524 | 56 | [] |
student | Last thing to do would be to divide everything by 4 correct? | 13,524 | 57 | [] |
volunteer | yes | 13,524 | 58 | [] |
volunteer | Now a comment | 13,524 | 59 | [] |
volunteer | since 4 is positive that is fine | 13,524 | 60 | [] |
volunteer | IF it were negative it would reverse the inequality DO u know that? | 13,524 | 61 | [] |
student | Yes | 13,524 | 62 | [] |
volunteer | wait | 13,524 | 63 | [] |
volunteer | it does not reverse | 13,524 | 64 | [] |
volunteer | since 4 > 0 | 13,524 | 65 | [] |
student | What do you mean? | 13,524 | 66 | [] |
volunteer | I will write | 13,524 | 67 | [] |
volunteer | my writing is ot so good but do you see what I mean? | 13,524 | 68 | [] |
student | Yes but shouldn’t the sign change since we have divided by a negative? | 13,524 | 69 | [] |
volunteer | Yes but we divided all by 4 ad 4 is *not* meg | 13,524 | 70 | [] |
volunteer | neg* | 13,524 | 71 | [] |
volunteer | see what I wrote | 13,524 | 72 | [] |
volunteer | My commenbt was correct but I htink it was confusing | 13,524 | 73 | [] |
student | Alright that makes sense | 13,524 | 74 | [] |
volunteer | OK so I think we have the answer | 13,524 | 75 | [] |
volunteer | Now can you grpah it? | 13,524 | 76 | [] |
student | Like that? | 13,524 | 77 | [] |
volunteer | wait I will scroll | 13,524 | 78 | [] |
volunteer | yes | 13,524 | 79 | [] |
volunteer | and what kind of dots at each end open or closed? | 13,524 | 80 | [] |
student | Closed | 13,524 | 81 | [] |
volunteer | I agree | 13,524 | 82 | [] |
volunteer | Did you see the cnfetti? | 13,524 | 83 | [] |
student | Yes! | 13,524 | 84 | [] |
student | Thank youuu | 13,524 | 85 | [] |
volunteer | good | 13,524 | 86 | [] |
volunteer | OK might you have a TI-84 cal;ciultor? | 13,524 | 87 | [] |
student | Unfortunately not | 13,524 | 88 | [] |
volunteer | OK no problem | 13,524 | 89 | [] |
volunteer | I think they can grpah inequal | 13,524 | 90 | [] |
volunteer | But thii fine | 13,524 | 91 | [] |
volunteer | you did vey well | 13,524 | 92 | [] |
volunteer | very* | 13,524 | 93 | [] |
volunteer | sorry I confsuded you about the sign | 13,524 | 94 | [] |
student | No problem you explained it very well! | 13,524 | 95 | [] |
volunteer | Good thanks | 13,524 | 96 | [] |
student | Have a lovely day! | 13,524 | 97 | [] |
volunteer | You too BYE BYE | 13,524 | 98 | [] |
student | :] | 13,524 | 99 | [] |
volunteer | Hi Liam | 13,550 | 0 | [
{
"pii_type": "PERSON",
"surrogate": "Liam",
"start": 3,
"end": 7
}
] |
student | Hello could you help me understand inverse trig functions | 13,550 | 1 | [] |
student | like with derivatives and implicit differentiation | 13,550 | 2 | [] |
volunteer | OK. Do you have a specific question or problem you'd like to work on? | 13,550 | 3 | [] |
student | I guess just understanding in general but let me pull one up | 13,550 | 4 | [] |
student | have you taken calculus? | 13,550 | 5 | [] |
volunteer | Yes. | 13,550 | 6 | [] |
student | Okay, im in BC not AB but that was the only option | 13,550 | 7 | [] |
volunteer | No problem. | 13,550 | 8 | [] |
volunteer | The problem shows how to find the derivative of the "inverse tangent" function. | 13,550 | 9 | [] |
student | i know the derivative of the inverse tan and the inverses of trig functions and are familiar with that | 13,550 | 10 | [] |
student | okay | 13,550 | 11 | [] |
volunteer | So you need help with "implicit differentiation" ? | 13,550 | 12 | [] |
student | no just this concept like why change sec squared y to Noah squared Tampa and how then did it transform to x | 13,550 | 13 | [
{
"pii_type": "PERSON",
"surrogate": "Noah",
"start": 54,
"end": 58
},
{
"pii_type": "LOCATION",
"surrogate": "Tampa",
"start": 67,
"end": 72
}
] |
student | why does tan y =x | 13,550 | 14 | [] |
volunteer | Let's start with sec^2(y) = tan^2(y)+1. It's a trigonometric identity. I can explain if you wish. | 13,550 | 15 | [] |
student | i am familar with the concept | 13,550 | 16 | [] |
student | i dont need help with that | 13,550 | 17 | [] |
volunteer | So you need help with tan y = x? | 13,550 | 18 | [] |
student | i guess yes | 13,550 | 19 | [] |
student | like i understand when im looking at it but when im doing an actual problem im scared im going ot mess up | 13,550 | 20 | [] |
student | let me replace it with an actual problem | 13,550 | 21 | [] |
volunteer | OK. | 13,550 | 22 | [] |
student | so finding the derivative | 13,550 | 23 | [] |
volunteer | I think you mean something a bit different. I'll write. | 13,550 | 24 | [] |
student | okay | 13,550 | 25 | [] |
volunteer | Is this what you meant? | 13,550 | 26 | [] |
student | yes apolgies | 13,550 | 27 | [] |
student | is all i do is plug in x/2 into the derivative of inverse sin | 13,550 | 28 | [] |
volunteer | Yes. You also need the chain rule. | 13,550 | 29 | [] |
volunteer | I can show you if you wish. | 13,550 | 30 | [] |
student | i know the chain rule | 13,550 | 31 | [] |
student | is it purely just 1/ the square root of (x/2)^2-1) switch the 1 and x/2 | 13,550 | 32 | [] |
volunteer | It would be: 1/√(1-(x/2)^2)*(1/2). | 13,550 | 33 | [] |
student | adn the 1/2 is from the chain rule? | 13,550 | 34 | [] |
volunteer | Correct. | 13,550 | 35 | [] |
student | okay i think i get that it seems simple enough | 13,550 | 36 | [] |
volunteer | Awesome! | 13,550 | 37 | [] |
student | could i ask one more questions? | 13,550 | 38 | [] |
volunteer | Sure. | 13,550 | 39 | [] |
volunteer | You'll need to use implicit differentiation to solve this problem. | 13,550 | 40 | [] |
student | okay | 13,550 | 41 | [] |
student | would the first step be e to the y - e to the y^2 * 2y*dy/dx=1-3x^2 | 13,550 | 42 | [] |
volunteer | Yes. Then solve the equation for dy/dx = ? | 13,550 | 43 | [] |
volunteer | You forget one thing. | 13,550 | 44 | [] |
volunteer | *forgot | 13,550 | 45 | [] |
volunteer | The first term would be (e^y)*dy/dx. | 13,550 | 46 | [] |
student | oh oh is it e*dy/dx - 2ye to the dy/dx | 13,550 | 47 | [] |
student | ah i see | 13,550 | 48 | [] |
student | and -2yeto the y^2 *dy/dx is because of the chain rule? | 13,550 | 49 | [] |
volunteer | Yes. | 13,550 | 50 | [] |
volunteer | I wrote above your uploaded page. | 13,550 | 51 | [] |
student | okay thanks! | 13,550 | 52 | [] |
student | so whenever you have e the power (in this case y ^2) will be what we are using for chain rule? | 13,550 | 53 | [] |
student | like it would be f of the deravitive of f(g(x))*g(x) | 13,550 | 54 | [] |
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