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1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 07:59:10 | and this sounds right.... for more visualisation | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 264,472,398,596,669,440 | chxn | 03/17/2022 07:59:14 | but I was confused on finding R and r | 1 | 0 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 07:59:20 | draw a varying horizontal line | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 07:59:29 | y = a
0 < a < 2 | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 07:59:33 | slider on desmos | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 07:59:39 | thats how you are integrating I believe | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:00:03 | And then figure out the corresponding discs involved for each horizontal line | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:00:30 | So for a particular height y, you need to figure out what the 2 radii are | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:00:40 | The biggest one is 4.
But then the smaller one... | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:01:08 | it is the horizontal distance from x = 4 to the function | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 264,472,398,596,669,440 | chxn | 03/17/2022 08:01:35 | Is just sqrtx or y^2 since we are doing with dy? | 1 | 0 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:02:33 | ,, \pi\int^2_0R(y)^2-r(y)^2 \,\dd y | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 510,789,298,321,096,700 | TeXit | 03/17/2022 08:02:46 | 321445119171756033.png | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:02:49 | I like writing like this | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:02:59 | and determining what the functions are so I am clear in my working | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:03:02 | and sure of the answer | 0 | 1 | 321,445,119,171,756,000 | Shuri2060 | 9525 | a μ-er | false | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:03:30 | ,, \pi\int^2_04^2-r(y)^2 \,\dd y | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 510,789,298,321,096,700 | TeXit | 03/17/2022 08:03:33 | 321445119171756033.png | 0 | 1 | 264,472,398,596,669,440 | chxn | 2203 | chxn | false | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:03:37 | Lets see for r(y) | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:04:31 | If you are y up, your x coord is y^2 | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:04:42 | so the distance is 4 - y^2, I agree | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:04:53 | In particular if you are at (x, y) on the function | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:05:02 | the little radius is 4-x | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:05:10 | so what you did sounds right | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:05:25 | ,, \pi\int^2_04^2-(4-y^2)^2 ,\dd y | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 510,789,298,321,096,700 | TeXit | 03/17/2022 08:05:27 | 321445119171756033.png | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:05:31 | oh wait | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:05:43 | no i think we disagree then 🤔 | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:05:49 | no no | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:05:54 | i typed it wrong | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:05:56 | 😂 | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:06:07 | Ok no sorry | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 264,472,398,596,669,440 | chxn | 03/17/2022 08:06:07 | Okay lol I was about to be so confused | 1 | 0 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:06:17 | I think I disagree with this | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:06:41 | 0 | 1 | null | null | null | null | null | ||||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:06:54 | uhhh let me adjust this diagram | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 264,472,398,596,669,440 | chxn | 03/17/2022 08:07:49 | Whaa I mean I was basically just saying this but a little different? | 1 | 0 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:08:07 | i think it is not quite there but one sec, desmos | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:09:36 | Screenshot_20220317-120930.jpg | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:09:47 | Ok you agree it is this? spinning around the blue line | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:10:16 | We need to calculate the volume of the purple region rotated around it | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 264,472,398,596,669,440 | chxn | 03/17/2022 08:10:50 | Mhmm | 1 | 0 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:11:35 | Screenshot_20220317-121126.jpg | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:11:43 | So imagine that black line sliding up and down | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:11:59 | We are adding the corresponding annulus | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:12:10 | for each of the black line... does that make sense? | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 264,472,398,596,669,440 | chxn | 03/17/2022 08:12:49 | What’s annulus :monkaS: | 1 | 0 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:13:18 | disc? | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:13:23 | does that make sense? | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 264,472,398,596,669,440 | chxn | 03/17/2022 08:13:28 | Ye | 1 | 0 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:13:31 | disc is the area enclosed by a circle | 0 | 1 | 264,472,398,596,669,440 | chxn | 2203 | chxn | false | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:13:42 | annulus is if you subtract 1 disc from another | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:13:45 | like a ring | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:13:48 | 2d donut | 0 | 1 | 510,789,298,321,096,700 | TeXit | 0796 | TeXit | true | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 264,472,398,596,669,440 | chxn | 03/17/2022 08:13:53 | Okay yeah makes sense | 1 | 0 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:13:59 | and we want that right | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:14:20 | So to calculate that we need to subtract the area of one circle from another | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:14:40 | We cannot just calculate the area of a circle whose radius is equal to the difference | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:15:39 | https://www.desmos.com/calculator/jv7nf3denj | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:15:55 | vary the a slider | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:16:02 | that black line is R-r | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:16:16 | but pi(R-r)^2 isnt what we need | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 264,472,398,596,669,440 | chxn | 03/17/2022 08:16:54 | Mhm? | 1 | 0 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:17:36 | Screenshot_20220317-121728.jpg | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:17:41 | Take this example | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:17:46 | to calculate the green region area | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:17:57 | You dont just do
pi(3 - 2)^2 | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:18:06 | that would be the area of a circle of radius 1 | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:18:11 | but its not quite that | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:18:36 | you do
pi(3^2 - 2^2) | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:18:46 | You subtract the area of one circle from another | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 264,472,398,596,669,440 | chxn | 03/17/2022 08:19:44 | Ahh I forgot about pemdas | 1 | 0 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 264,472,398,596,669,440 | chxn | 03/17/2022 08:19:55 | I have been doing the exponent first anyways 💀 | 1 | 0 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:20:03 | uh | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:20:08 | im not sure this is about pemdas... | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:20:26 | $(a+b)^2\neq a^2+b^2$ | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 510,789,298,321,096,700 | TeXit | 03/17/2022 08:20:28 | 321445119171756033.png | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:21:03 | ,, \pi\int^2_0R(y)^2-r(y)^2 ,\dd y\neq \pi\int^2_0(R(y)-r(y))^2 ,\dd y | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 510,789,298,321,096,700 | TeXit | 03/17/2022 08:21:17 | 321445119171756033.png | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:21:23 | so to recap, you want the left, not the right | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:21:27 | does that make sense? | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 264,472,398,596,669,440 | chxn | 03/17/2022 08:21:36 | yes | 1 | 0 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 264,472,398,596,669,440 | chxn | 03/17/2022 08:21:59 | I don’t know how to explain the thing I was doing but either way it was not correct | 1 | 0 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:22:06 | But also, I think you didnt quite get `r(y)` right the first time round | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:22:14 | yh | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:22:27 | Well i highly advise drawing a diagram for these Qs | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:22:36 | and identify the axis of rotation | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:22:39 | as well as youre slicing | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:22:45 | and that will cause less confusion | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:23:02 | you need to visualize something like this on paper, basically | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 264,472,398,596,669,440 | chxn | 03/17/2022 08:23:11 | and yeah I don’t get how you got 4^2 - (4 - y^2)^2 still | 1 | 0 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 264,472,398,596,669,440 | chxn | 03/17/2022 08:23:44 | I can do that but I don’t get how r = 4-y^2? | 1 | 0 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:23:50 | right ok | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:24:00 | 0 | 1 | null | null | null | null | null | ||||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:24:07 | Can you edit this picture | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:24:10 | and mark on an R | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:24:12 | and an r | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:24:16 | for arbritrary y | 0 | 1 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 264,472,398,596,669,440 | chxn | 03/17/2022 08:25:11 | Uhh i think ik what means but idk | 1 | 0 | null | null | null | null | null | |||||
1,298 | help-10 | b1196c3d84e34f30b15b36352d104419 | 321,445,119,171,756,000 | Shuri2060 | 03/17/2022 08:25:32 | Say y = 1 | 0 | 1 | null | null | null | null | null |
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