Split (1)

train · 116k rows

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	oh sorry	12,860	117	[]
student	thats how my As look	12,860	118	[]
student	sorry	12,860	119	[]
volunteer	i read your a as 2	12,860	120	[]
volunteer	myf	12,860	121	[]
volunteer	no i just read it wrong	12,860	122	[]
volunteer	not ur mistake	12,860	123	[]
volunteer	so the problem here is that when subbing in a, we get an inderminate form	12,860	124	[]
volunteer	0/0	12,860	125	[]
volunteer	that means that we need to do some algebra to get our answer	12,860	126	[]
volunteer	how can we simplify the denominator?	12,860	127	[]
student	oh... i guess i just gave up and said 0	12,860	128	[]
student	cross the a's out	12,860	129	[]
volunteer	well these types of limits are the harder ones so no worries	12,860	130	[]
volunteer	well we cant quite cross out a	12,860	131	[]
volunteer	since we are subtracting a in the top and adding a in the bottom	12,860	132	[]
volunteer	if they were both subtracting or both adding we could cancel both of those terms entirely	12,860	133	[]
volunteer	but we cant do that here	12,860	134	[]
volunteer	instead, why dont we multiply the denominator and numerator by (x+a)/(x-a)	12,860	135	[]
volunteer	that would get rid of the denominator completely	12,860	136	[]
volunteer	yup!	12,860	137	[]
volunteer	now we can do one more thing to make our work easier	12,860	138	[]
student	foil?	12,860	139	[]
volunteer	thats one method	12,860	140	[]
volunteer	but not quite fiol	12,860	141	[]
volunteer	its more like distribution	12,860	142	[]
volunteer	since its just one big term	12,860	143	[]
volunteer	but we can do this another way to avoid messy work	12,860	144	[]
volunteer	do you think you can see it?	12,860	145	[]
volunteer	if not just tell me, its all fine	12,860	146	[]
student	yes	12,860	147	[]
volunteer	not quite	12,860	148	[]
volunteer	what I saw is that we can combine x/a and -1 into one fraction	12,860	149	[]
volunteer	do you think that could be useful for our expression?	12,860	150	[]
student	yes	12,860	151	[]
volunteer	great! show me how this could be sued	12,860	152	[]
volunteer	used*	12,860	153	[]
volunteer	yea!!!	12,860	154	[]
volunteer	well	12,860	155	[]
volunteer	dont forget about the a at the bottom	12,860	156	[]
volunteer	nice!	12,860	157	[]
volunteer	now one more thing	12,860	158	[]
volunteer	what are we missing on our expression?	12,860	159	[]
volunteer	oh we cant cancel out our a	12,860	160	[]
volunteer	the reason being is that the term on the top is x + a and at the bottom it is a	12,860	161	[]
volunteer	there is no factor of a on both bottom and top	12,860	162	[]
volunteer	so nothing is cancelable	12,860	163	[]
volunteer	but we are missing something important	12,860	164	[]
volunteer	hint: look at the left of the expression in the original expression	12,860	165	[]
student	a negative	12,860	166	[]
volunteer	not really	12,860	167	[]
volunteer	its a shortened version of an english words	12,860	168	[]
volunteer	word*	12,860	169	[]
student	can you see what i wrote in orange a little lowr?	12,860	170	[]
volunteer	oh i see it now	12,860	171	[]
volunteer	yea thats right!	12,860	172	[]
volunteer	so what would that be?	12,860	173	[]
student	isnt that all I have to do?	12,860	174	[]
volunteer	well we have to find the actual value	12,860	175	[]
volunteer	since its asking for the limit	12,860	176	[]
student	do I just make up a number	12,860	177	[]
student	or put 0?	12,860	178	[]
volunteer	well no, we can use substitution here	12,860	179	[]
student	with the a?	12,860	180	[]
volunteer	reason being is that when we plug in a, we dont get an indeterminate form	12,860	181	[]
volunteer	yes	12,860	182	[]
student	but wouldn't it be the same.	12,860	183	[]
volunteer	wdym	12,860	184	[]
student	ohhh! pput the a into the x	12,860	185	[]
volunteer	yea	12,860	186	[]
volunteer	u got it!	12,860	187	[]
volunteer	since we subbed in a for x, we no longer need the limit notation	12,860	188	[]
volunteer	also what is 2a/a simplified?	12,860	189	[]
student	1?	12,860	190	[]
student	2	12,860	191	[]
volunteer	yeaa	12,860	192	[]
volunteer	so our final answer would be 2	12,860	193	[]
student	can I write this down super quick	12,860	194	[]
volunteer	write what down?	12,860	195	[]
student	oh just onto a notebook so I don't forget	12,860	196	[]
volunteer	oh yea	12,860	197	[]
volunteer	go for it	12,860	198	[]
volunteer	I can do one more question and then I will have to leave btw	12,860	199	[]
student	could we do 19 then?	12,860	200	[]
student	i put it at the top	12,860	201	[]
volunteer	sure	12,860	202	[]
volunteer	can i eras the whiteboard?	12,860	203	[]
student	yes please	12,860	204	[]
volunteer	great	12,860	205	[]
volunteer	let me write down g(x) rq	12,860	206	[]
student	i got the reduced form, but not the other parts	12,860	207	[]
volunteer	alright	12,860	208	[]
volunteer	so ill just simplify rq	12,860	209	[]
volunteer	alright	12,860	210	[]
volunteer	so where does the y intercept occur?	12,860	211	[]
student	when x=0	12,860	212	[]
volunteer	great!	12,860	213	[]
volunteer	so how can we find the y intercept using this knowledge?	12,860	214	[]
student	do we plug it into the orginal form?	12,860	215	[]
student	0 for x i mean	12,860	216	[]

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