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81 | help-10 | 611f7e56e43a47abaf2442e6ef4b8875 | 731,290,349,250,805,900 | winteriio | 01/15/2022 12:37:30 | .close | 1 | 0 | null | null | null | null | null |
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82 | help-10 | a20f1d5e549845089dd96cf28094f2cc | 573,938,141,094,871,100 | madman | 01/15/2022 12:59:56 | I need help with this. It says basis of R³ but isn't it wrong? Aren't we supposed to find the basis of **v**, not R³? | unknown.png | 1 | 0 | null | null | null | null | null |
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82 | help-10 | a20f1d5e549845089dd96cf28094f2cc | 573,938,141,094,871,100 | madman | 01/15/2022 13:02:41 | So there we determine three vectors, **a,b,c** be the basis of **v**. In this case:
**v**=[2, -1, 4]= -2**a**+3**b**+0**c** | 1 | 0 | null | null | null | null | null |
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82 | help-10 | a20f1d5e549845089dd96cf28094f2cc | 573,938,141,094,871,100 | madman | 01/15/2022 13:04:11 | **v**=[2, -1, 4]= -2[a1, a2, a3]+3[b1, b2, b3]+0[c1, c2, c3]
Then we can create a system of equations, we won't need **c** though, because it is already zero | 1 | 0 | null | null | null | null | null |
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82 | help-10 | a20f1d5e549845089dd96cf28094f2cc | 573,938,141,094,871,100 | madman | 01/15/2022 13:07:31 | $ \begin{cases}
-2a_1+3b_1=2\\
-2a_2+3b_2=-1\\
-2a_3+3b_3=4
\end{cases} $ \\
Therefore\\
$ \begin{cases}
b_1=\tfrac{2+2a_1}{3}\\
b_2=\tfrac{-1+2a_1}{3}\\
b_3=\tfrac{4+2a_3}{3}
\end{cases} $ | 1 | 0 | null | null | null | null | null |
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82 | help-10 | a20f1d5e549845089dd96cf28094f2cc | 510,789,298,321,096,700 | TeXit | 01/15/2022 13:10:10 | **aydali** | 573938141094871085.png | 0 | 1 | null | null | null | null | null |
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82 | help-10 | a20f1d5e549845089dd96cf28094f2cc | 807,287,208,314,798,100 | sreedev | 01/15/2022 13:41:41 | I think this might be related to the change of basis matrix concept | 0 | 1 | 573,938,141,094,871,100 | madman | 5464 | madman | false |
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82 | help-10 | a20f1d5e549845089dd96cf28094f2cc | 807,287,208,314,798,100 | sreedev | 01/15/2022 13:42:56 | Try to find the change of basis matrix and from there try to guss the new basis I think | 0 | 1 | null | null | null | null | null |
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83 | help-10 | 374d3d8477f64ee0ad1d12a5520fda4f | 573,938,141,094,871,100 | madman | 01/15/2022 14:33:28 | Okay | 1 | 0 | 807,287,208,314,798,100 | sreedev | 4007 | sreedev | false |
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84 | help-10 | bb777810fffb4634949a63ab4237df4b | 852,592,874,754,932,700 | CoffeePls | 01/15/2022 15:06:04 | is ln x * ln x = (ln x)^2 | 1 | 0 | null | null | null | null | null |
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84 | help-10 | bb777810fffb4634949a63ab4237df4b | 573,938,141,094,871,100 | madman | 01/15/2022 15:07:21 | Yes | 0 | 1 | 852,592,874,754,932,700 | CoffeePls | 8979 | CoffeePls | false |
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84 | help-10 | bb777810fffb4634949a63ab4237df4b | 573,938,141,094,871,100 | madman | 01/15/2022 15:08:49 | (ln x)²=ln x × ln x
ln(x²)=ln x + ln x | 0 | 1 | null | null | null | null | null |
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84 | help-10 | bb777810fffb4634949a63ab4237df4b | 852,592,874,754,932,700 | CoffeePls | 01/15/2022 15:08:57 | ok ty | 1 | 0 | null | null | null | null | null |
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84 | help-10 | bb777810fffb4634949a63ab4237df4b | 852,592,874,754,932,700 | CoffeePls | 01/15/2022 15:09:01 | .close | 1 | 0 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 802,652,231,954,333,700 | Ruben! | 01/15/2022 17:13:39 | I was under the impression that in a normal continuous distribution, the probability of *X (some variable)* = Any specific value is 0. So the answer to this problem would be... 0%. But the answer states otherwise as 0.026, how come? And how did they get that answer? Thank you. | unknown.png | 1 | 0 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 17:36:15 | No | 0 | 1 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 17:36:28 | The distribution can be approximated with the normal | 0 | 1 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 17:36:33 | the original thing might not be continuous | 0 | 1 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 17:36:42 | Presumably they are writing it as if IQ is discrete | 0 | 1 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 17:39:04 | So think what you do when you approximate | 0 | 1 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 802,652,231,954,333,700 | Ruben! | 01/15/2022 17:47:48 | Yeah IQ test scores will presumably look more like bars since they can't take fraction values | 1 | 0 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 17:48:24 | so u approximate | 0 | 1 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 17:48:28 | by 100.5 | 0 | 1 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 17:48:29 | 99.5 | 0 | 1 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 17:48:31 | im pretty sure | 0 | 1 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 802,652,231,954,333,700 | Ruben! | 01/15/2022 17:48:37 | So I guess find P(99.5 < X < 100.5)?
Or is it P(99 < X < 100) | 1 | 0 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 802,652,231,954,333,700 | Ruben! | 01/15/2022 17:49:16 | Why do you do the first one and not the second? | 1 | 0 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 17:50:14 | draw a random bar chart diagram | 0 | 1 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 17:50:19 | you approximate the integers | 0 | 1 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 17:50:22 | by going from .5 to .5 | 0 | 1 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 17:50:23 | ? | 0 | 1 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 17:50:32 | You centre the bars on the integer | 0 | 1 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 802,652,231,954,333,700 | Ruben! | 01/15/2022 17:51:00 | Ah I see makes sense. Thanks! | 1 | 0 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 17:51:18 | unknown.png | 0 | 1 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 17:51:20 | heh | 0 | 1 | null | null | null | null | null |
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85 | help-10 | 88706772f2724f669436a986c6ec75e8 | 802,652,231,954,333,700 | Ruben! | 01/15/2022 17:54:10 | .close | 1 | 0 | null | null | null | null | null |
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86 | help-10 | 3179dbdee4cb4dcbb49c270a076f5353 | 456,226,577,798,135,800 | Deleted User | 01/15/2022 23:03:46 | wat is 1+1 | 1 | 0 | null | null | null | null | null |
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86 | help-10 | 3179dbdee4cb4dcbb49c270a076f5353 | 456,226,577,798,135,800 | Deleted User | 01/15/2022 23:04:05 | .close | 1 | 0 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 456,226,577,798,135,800 | Deleted User | 01/15/2022 23:05:21 | .closre | 1 | 0 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 456,226,577,798,135,800 | Deleted User | 01/15/2022 23:05:24 | .close | 1 | 0 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:49:53 | unknown.png | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:49:58 | how do i solve this | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:50:04 | i am very confused | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:50:09 | im not sure where to start | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 200,013,547,491,688,450 | a disappointing son | 01/15/2022 23:50:20 | start by determining f(x-1) and f(x+1) | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 328,662,734,008,746,000 | Geopchad | 01/15/2022 23:50:40 | yeah just replace the x in f(x) with either x - 1 or x + 1 | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:50:48 | either? | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 200,013,547,491,688,450 | a disappointing son | 01/15/2022 23:50:50 | both | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 328,662,734,008,746,000 | Geopchad | 01/15/2022 23:50:50 | and then replace f(x-1) and f(x+1) with their counterparts | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 328,662,734,008,746,000 | Geopchad | 01/15/2022 23:50:52 | both sry | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:50:54 | Oh | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 328,662,734,008,746,000 | Geopchad | 01/15/2022 23:51:05 | you wanna find what f(x-1) and f(x+1) are in terms of JUST x | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 328,662,734,008,746,000 | Geopchad | 01/15/2022 23:51:13 | not in terms of f(something) | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:51:46 | so (x-1)^2 + (x+1) | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:51:50 | = 6 | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:51:53 | and then i solve that? | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 200,013,547,491,688,450 | a disappointing son | 01/15/2022 23:52:03 | no | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 200,013,547,491,688,450 | a disappointing son | 01/15/2022 23:52:08 | what is f(x-1) | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:52:39 | idk | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 200,013,547,491,688,450 | a disappointing son | 01/15/2022 23:53:00 | do you not know how to find it? | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:53:05 | no | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 200,013,547,491,688,450 | a disappointing son | 01/15/2022 23:53:16 | if i gave you f(x)=5x and told you to find f(5), could you? | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:53:31 | 25? | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:53:43 | oh wait so | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:53:58 | x^2+x-1? | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:54:19 | for f(x-1) | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 200,013,547,491,688,450 | a disappointing son | 01/15/2022 23:54:33 | not quite | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 200,013,547,491,688,450 | a disappointing son | 01/15/2022 23:54:57 | remember it's just just +x | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 200,013,547,491,688,450 | a disappointing son | 01/15/2022 23:55:04 | you're replacing that x with (x-1) | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 23:55:11 | to avoid confusion | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 23:55:17 | substitute u-1 | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:55:22 | u? | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 23:55:23 | and u+1 | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:55:26 | whats u | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 23:55:35 | a letter other than x | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 200,013,547,491,688,450 | a disappointing son | 01/15/2022 23:55:37 | that may create confusion lol | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 652,336,711,325,712,400 | quantum | 01/15/2022 23:55:42 | it’s just so you don’t get confused since there’s two xs | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:55:48 | Oh | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 23:55:57 | f(u) = u^2 + u | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:56:03 | so x^2+u? | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 321,445,119,171,756,000 | Shuri2060 | 01/15/2022 23:56:04 | now substitute u=x-1 then u=x+1 | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:56:09 | ohh | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:56:15 | wait waht | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 200,013,547,491,688,450 | a disappointing son | 01/15/2022 23:56:32 | you were close here, you just didn't replace the 2nd x with (x-1) | 0 | 1 | 807,234,527,998,246,900 | gobi. | 3818 | gobi. | false |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 200,013,547,491,688,450 | a disappointing son | 01/15/2022 23:56:40 | you kept it as x | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:57:05 | OH | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:57:29 | so i gotta substitute both x-1 and x+1 into f x | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:57:34 | and then i solve it | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 328,662,734,008,746,000 | Geopchad | 01/15/2022 23:57:42 | yeah think of f(x) | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 328,662,734,008,746,000 | Geopchad | 01/15/2022 23:57:43 | as f(u) | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 328,662,734,008,746,000 | Geopchad | 01/15/2022 23:57:50 | f(u) = u^2+u | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 328,662,734,008,746,000 | Geopchad | 01/15/2022 23:57:58 | and then you have two cases: u = x + 1 and u = x - 1 | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 328,662,734,008,746,000 | Geopchad | 01/15/2022 23:58:00 | then you just expand | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/15/2022 23:58:15 | i am dead confused | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 200,013,547,491,688,450 | a disappointing son | 01/15/2022 23:58:45 | don't think of u for now lol | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 200,013,547,491,688,450 | a disappointing son | 01/15/2022 23:58:54 | go back here and fix your error | 0 | 1 | 807,234,527,998,246,900 | gobi. | 3818 | gobi. | false |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 652,336,711,325,712,400 | quantum | 01/15/2022 23:58:56 | ok so that’s just confusing them so stop with the letter replacement | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 807,234,527,998,246,900 | gobi. | 01/16/2022 00:00:40 | (x-1)^2+(x-1)? | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 200,013,547,491,688,450 | a disappointing son | 01/16/2022 00:00:48 | yep | 0 | 1 | null | null | null | null | null |
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87 | help-10 | 6642db7c4f37449dbedd6523a9b37cbf | 200,013,547,491,688,450 | a disappointing son | 01/16/2022 00:00:51 | that's f(x-1) | 0 | 1 | null | null | null | null | null |
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