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987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:49:27 | were gonna factor them alright? | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:49:45 | f(x)=(x-4)(x+1)Q(x)+4x-1 | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:50:08 | f(x)=(2x-1)(x-1)Q'(x)+2x+7 | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:50:13 | so we can get | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:50:21 | f(4)=15 | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:50:31 | f(-1)=-5 | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:50:41 | f(1/2)=8 | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:50:46 | f(1)=9 | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:50:55 | now we look at the question | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:51:17 | f(x)=2x²-9x+4Q''(x)+ax+b | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:51:22 | so | 0 | 1 | 806,712,357,123,784,700 | Serenity | 4586 | Serenity | false | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:51:50 | f(x)=(2x-1)(x-4)Q''(x)+ax+b | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:52:07 | f(1/2)=1/2a+b=8 | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:52:20 | f(4)=4a+b=15 | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:52:26 | a+2b=16 | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:52:34 | 8a+2b=30 | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:52:41 | -7a=-14 | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:52:51 | a=2 and b=7 | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:53:00 | so the final answer: 2x+7 | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:53:04 | @Serenity | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 896,979,437,692,813,300 | lil droptop$$ | 03/01/2022 21:59:45 | howd u get that | 0 | 1 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 806,712,357,123,784,700 | Serenity | 03/01/2022 22:09:22 | Thanks so much! | 1 | 0 | null | null | null | null | null | |||||
987 | help-10 | ec5a3143e1eb4e679c13066755d2722d | 806,712,357,123,784,700 | Serenity | 03/01/2022 22:09:29 | .close | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:19:21 | arccos(\sqrt((((1+cosx))/(2)))) | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:19:34 | How to simplify this equation? | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 198,191,547,970,355,200 | sills | 03/01/2022 22:20:28 | $\arccos(\sqrt{\frac{1+\cos{x}}{2}})$ | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 118,536,946,527,109,120 | Migillope | 03/01/2022 22:20:33 | That is so many parenthesis | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 198,191,547,970,355,200 | sills | 03/01/2022 22:20:41 | dw i TeX'd | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:20:51 | yes | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 510,789,298,321,096,700 | TeXit | 03/01/2022 22:21:12 | **sills** | 198191547970355200.png | 0 | 1 | null | null | null | null | null | ||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:21:26 | I just don't know where to start | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:21:45 | And how to simplify it can anyone help? | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 22:22:41 | hint: the thing inside the square root is what a certain double-angle formula looks like if you move things around | 0 | 1 | 806,712,357,123,784,700 | Serenity | 4586 | Serenity | false | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:25:31 | arccos(sqrt((1+cos²(x)+2cos(x))/2(1+cosx))? | 1 | 0 | 270,606,727,907,508,220 | mvoiddd | 6227 | mvoiddd | false | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:26:26 | I am dumb so not so sure about that... | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 22:26:54 | do you know the double angle formulas? | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:27:20 | bad at english but | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:27:22 | cos 2A = cos2A - sin2A (or) 2cos2A - 1 | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:27:24 | ??? | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 186,109,587,366,215,680 | Omegabet_ | 03/01/2022 22:28:23 | cos^2A | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 186,109,587,366,215,680 | Omegabet_ | 03/01/2022 22:28:27 | not cos2A | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:28:29 | yes | 1 | 0 | 510,789,298,321,096,700 | TeXit | 0796 | TeXit | true | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 299,271,213,967,081,500 | Chtholly Nota Seniorious | 03/01/2022 22:28:30 | double angles | SPOILER_2e689d_2e114fa0c01d4dfd8ee871b48abcfcaa.png | 0 | 1 | null | null | null | null | null | ||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 22:29:28 | right, so one of these formulas, if you move things around, will look something like the thing underneath the square root | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 22:29:46 | bear in mind that a is not necessarily the same as x | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:33:20 | is it (sqrt(sin²(x)+cos²(x)+sqrt(1-sin²(x))/2)? | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:35:52 | or should I put like x=2b? | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:38:20 | so by replacing x by 2b | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:39:11 | I obtained sqrt(1+cos(2b)/2)= sqrt(cos²(b)) | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:39:46 | then arccos|cosb| | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:39:58 | which means | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:40:03 | it's x/2??? | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:40:11 | is this it? | 1 | 0 | 747,990,866,798,313,600 | SAB | 3071 | SAB | false | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 22:40:21 | assuming cos (x/2) >= 0, yes | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 22:40:38 | i don't know what range you're carrying it out in | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:40:54 | x VR | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:41:04 | x is real | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 22:44:12 | if you're doing it for $x\in\bR$, then you need to consider two cases: $\arccos\qty|\cos\frac x2| = \arccos\qty(\cos\frac x2)$ and $\arccos\qty|\cos\frac x2| = \arccos\qty(-\cos\frac x2)$ | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 510,789,298,321,096,700 | TeXit | 03/01/2022 22:44:16 | **Camilleone** | 569167697925898261.png | 0 | 1 | null | null | null | null | null | ||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:46:57 | then does that mean it's emm gonna be -b and b? | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:47:02 | for the answer? | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:51:06 | ahh c bon | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:51:40 | it's gonna be arccos(-cosb)=arccos(cos(b+pi))?? | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:51:50 | so either the answer is x/2 or | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:51:59 | x+2pi/2 | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:52:00 | ?? | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 22:58:49 | ? | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 23:01:29 | @Helpers | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 456,226,577,798,135,800 | Deleted User | 03/01/2022 23:02:11 | unknown.png | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 456,226,577,798,135,800 | Deleted User | 03/01/2022 23:02:15 | @Helpers | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 23:02:36 | NO | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 456,226,577,798,135,800 | Deleted User | 03/01/2022 23:02:41 | pls | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 23:02:55 | go to help 35 | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 456,226,577,798,135,800 | Deleted User | 03/01/2022 23:03:01 | ok | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 23:03:02 | it's available | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 23:03:05 | #❓how-to-get-help | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 23:03:16 | sorry, i just got back from sending some emails | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 23:03:40 | no need to apologize. I am sorry for the bother | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 23:03:51 | yes, this is what happens, but you need to be careful about arccos | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 23:04:39 | because arccos usually outputs a value in [0, pi] | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 23:05:10 | ahhh | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 23:05:27 | so i should determine the value of x | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 23:05:37 | (hope that was correct) | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 23:06:05 | which means | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 23:06:17 | -pi/2<x<0 | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 23:06:18 | ? | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 23:06:35 | hmm | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 23:06:38 | rather than saying that | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 23:06:51 | you want to solve it for all $x\in\bR$? | 0 | 1 | 456,226,577,798,135,800 | Deleted User | 0000 | Deleted User | false | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 510,789,298,321,096,700 | TeXit | 03/01/2022 23:06:54 | **Camilleone** | 569167697925898261.png | 0 | 1 | null | null | null | null | null | ||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 23:07:00 | or just for some specific values of $x$? | 0 | 1 | 569,167,697,925,898,240 | Camilleone | 1596 | Camilleone | false | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 510,789,298,321,096,700 | TeXit | 03/01/2022 23:07:03 | **Camilleone** | 569167697925898261.png | 0 | 1 | 747,990,866,798,313,600 | SAB | 3071 | SAB | false | ||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 23:07:13 | for all x in R | 1 | 0 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 23:07:57 | okay, then this is what you do | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 23:08:12 | for the first case, say $\arccos\qty|\cos\frac x2| = \arccos\qty(\cos\frac x2)$ | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 510,789,298,321,096,700 | TeXit | 03/01/2022 23:08:15 | **Camilleone** | 569167697925898261.png | 0 | 1 | null | null | null | null | null | ||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 23:09:34 | of course, $\arccos$ is the inverse cosine function, so you need to find the particular value of $y\in[0,\pi]$ such that $\cos y = \cos \frac x2$ | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 510,789,298,321,096,700 | TeXit | 03/01/2022 23:09:36 | **Camilleone** | 569167697925898261.png | 0 | 1 | null | null | null | null | null | ||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 569,167,697,925,898,240 | Camilleone | 03/01/2022 23:10:03 | and that y will be the result | 0 | 1 | null | null | null | null | null | |||||
988 | help-10 | 66de33714f5a429e8f4594902777fc80 | 747,990,866,798,313,600 | SAB | 03/01/2022 23:10:18 | I c will try it | 1 | 0 | null | null | null | null | null |
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