#can anyone help me do this simple differtiation

378 messages · Page 1 of 1 (latest)

compact laurel
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I haven’t slept for like 3 days so I can’t remember any equations

hearty boneBOT
storm zodiac
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Use the chain rule. If you have any questions, feel free to ask

compact laurel
storm zodiac
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Np bro

compact laurel
storm zodiac
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Yeah, I'm in my 3rd year

compact laurel
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that makes sense

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i didn't think you'd have the time to help people doing a level maths if you're in uni

storm zodiac
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I'm on my winter break rn so I've got time haha

compact laurel
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i thought you would be starting back tomorrow

storm zodiac
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My first class is is on the 10th

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I'm assuming ur from the us/canada?

compact laurel
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im from wales

storm zodiac
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cool

compact laurel
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im guessing you assumed that cause my pfp

storm zodiac
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I assumed that from u saying that school starts on the 8th

compact laurel
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ah right thats understandable

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where are you from

storm zodiac
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Canada

compact laurel
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ah right

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im planning on going to uni to do maths in uni in september do you think there is a big difference between uni and highschool

storm zodiac
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I think there's a pretty big difference for sure

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In uni you'll be taking a lot of proof-based math classes, and the kind of thinking that is required to write proofs is quite different from the logic needed to computational maths

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A lot of people find the transition from numerical math classes like algebra and calc to more conceptual ones to be jarring, but if you thoroughly understand the material from hs you'll be good

compact laurel
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alright thats good to know

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do you spend most of your time only focusing on maths or do you get a lot of time to do stuff outside of education

storm zodiac
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I try to maintain a balance

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throughout the majority of the academic year i'll spend maybe 2hrs outside of class reading and doing homework

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which gives me a lot of time to dedicate to other stuff

compact laurel
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that sounds pretty chill i just need to start focusing more cause since covid i havent really been paying attention and attending all of my classes even though when im in class i tend to be one of the ones doing best outside of class and during tests i've been struggling a lot and recieved a low grade last year due to that

storm zodiac
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The same thing happened to me during my final year of hs. All of my classes were online so I found it difficult to muster the motivation necessary to attend every single one and pay attention. I mostly slept through them haha

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I think that if you brush up on your understanding before ur first uni class you'll be set

compact laurel
storm zodiac
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yeah i feel u man

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covid really fucked everyone

compact laurel
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before covid i would be getting a 100% almost everytime then i just did nothing in covid and my teachers were all sending letters and shit cause before that i wouldnt even try that hard but i would be putting a bit above the bare minimum and i would have no trouble at all

storm zodiac
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Happens to the best of us. During my first year of uni I had to drop several courses due to literally not doing anything

compact laurel
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in canada do you do multiple subjects at once?

storm zodiac
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strange things happen to your psychological state and academic motivation when you're forced to stay indoors all day

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yeah

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I'm taking 4 courses rn

compact laurel
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i would much rather that cause then i would be less likely to get drained/bored but for uni i have to do a single subject

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im hoping it wont be too difficult learning in english instead of welsh

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its good that its mostly numbers but it can be hard to find how to do certain questions

storm zodiac
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For some of the more advanced concepts you'll study at uni, the textbooks contain very few numbers. Mostly paragraphs upon paragraphs with symbology sprinkled in between. I think you'll do fine though bc you seem fluent

compact laurel
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yeah i basically use english all the time its just in school

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i think ill be fine its just some mathematical terms i have to google translate

storm zodiac
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yup

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So you're taking one course right now? What's the course

compact laurel
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im doing maths and phyics in hs ill be finishing in like june ill be 18 so i dont know if youd still be at college at that age?

storm zodiac
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Yeah, I'll be in college until April of 2026. I need to take an additional year since I spent my first year studying medicine/biochem instead of math

compact laurel
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thats fair enough do you have any ideas of what you'd like to do after college?

storm zodiac
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I'll probably apply to graduate school. Idk if i'd like to continue studying math, but I'll probably end up in a quantitative field for sure. Maybe physics or computer science

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What about you?

compact laurel
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ive been thinking about what i want to do after high school for the past like 2 years and havent been able to decide so i thought id just carrying on persuing what i've always been best at which is maths, and hopefully when i attend university i'll be able to play basketball more and improve. As of now i have no idea what ill do after university( if i get in to one) or what ill do instead of university. I use to just want to do whatever paid me the most money now im leaning more towards just playing basketball as much as i can

storm zodiac
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Cool. Figuring things out as you go is a good idea

compact laurel
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i dont want to just sit around ive done to much of that since getting halo 4 in like 2014 at like 7 most my life has been sitting down

storm zodiac
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Fair enough

compact laurel
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do you get up to much outside of college>

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?*

storm zodiac
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Hanging out with friends, occasionally going back home to see family, the usual

compact laurel
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do you live far away from your family then?

storm zodiac
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Yeah, about 200km

compact laurel
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yeah if i go to uni in of the top 2 places i want t go ill be a pretty similar distance

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whats the drinking age in canade 18,19?

storm zodiac
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19

compact laurel
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how old are you now 21?

storm zodiac
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20

compact laurel
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whats the driving age like 16?

storm zodiac
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yeah, as soon as you turn 16 you can take a driving test called the G1

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It's a written, multiple choice test that covers road signs and driving rules

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after you take it you can drive under the supervision of someone who has their full license

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if you want to drive by urself u have to take a test called the G2 which is a practical test

compact laurel
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so if you get your driving license your friend who coudlve passed like a week ago can be in the car and you can just drive like that?

fiery maple
storm zodiac
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Legally you're allowed to drive, but i agree that the law's kinda stupid

fiery maple
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yeah fr

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u need to be 17+ to drive here

compact laurel
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whats like car insurance prices over there like?

compact laurel
storm zodiac
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Most people with their G1 license practice in empty parking lots for a bit before actually driving on roads

storm zodiac
fiery maple
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yo is @storm zodiac ur canadian tour guide or smth like what are u even asking lol

compact laurel
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i had a maths question then just talking about uni and stuff

fiery maple
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but like asking bout what are the insurance prices

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lmao

compact laurel
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i got another maths questions dont worry

compact laurel
fiery maple
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nah u can ask him questions but its so off topic lmao

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anyways roads and traffic is a mess in my country

storm zodiac
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Where are u from mummychor

fiery maple
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the most populous country in the world

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such a weird flex tbh

compact laurel
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I need to expand this in ascending powers of x up to x^3 I remember this being pretty easy at the time but my mind is blank now

storm zodiac
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lmao

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I've heard that public transportation is pretty difficult to navigate there

fiery maple
compact laurel
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China?

fiery maple
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india

compact laurel
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Ah right

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Close

fiery maple
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yeah

fiery maple
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what do i do with that expression?

storm zodiac
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yeah same i'm confused lol

compact laurel
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Like I need to expand it i think

fiery maple
fiery maple
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like send the complete question

compact laurel
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It’s in welsh

fiery maple
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bruv

compact laurel
fiery maple
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welsh is a language?

compact laurel
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This is why learning in welsh is bad

fiery maple
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oh nah

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no way

compact laurel
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Not a very spoken one

fiery maple
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that shit looks worse than german to me

compact laurel
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It’s bad

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Like 900k people speak it

fiery maple
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shit boutta be extinct

compact laurel
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So if or when I move out of wales I just know a useless language

fiery maple
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oh so its like y = (that expression)?

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and i have to power it so that its in x^3 ?

compact laurel
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its says up to and includes x^3

fiery maple
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just cube it

compact laurel
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Expand 1+2x in ascending powers of x up to and including the term in x' State for which range of values ​​the expansion is valid.

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This is it translated

compact laurel
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Easy

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The equation is wrong in the translation

fiery maple
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its 4-x/sqrt(1-2x) ?

compact laurel
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yes

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(1+2x)

fiery maple
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oh ok

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the question is a bit wrong here

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it should be for which values of real numbers in the domain is a subset of

compact laurel
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maybe i translated it wrong? i remember doing a question that sounded similar a few months ago just cant really remember what do now

fiery maple
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nah idk if im tripping or what

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but i dont understand the question

storm zodiac
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Same bro, idk what the question's asking for when it tells you to "expand" the expression

fiery maple
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like write it big or smth

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lol

compact laurel
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nah its not that lmao

fiery maple
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send us anothe question

compact laurel
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its like the only question i got left except for 1 or 2 "geometry sequence" ones

fiery maple
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send it

compact laurel
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may or not be in welsh

fiery maple
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just translate it for us

compact laurel
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i can try

fiery maple
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ok

compact laurel
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The pth term of a geometric series is equal to 16. The (p + I)th term of this gyre is equal to 24. Find the (p + 4)th term of the series. [3] (b) The sum of the first three terms of another geometric series is 22.8. The sum to infinity of the series is 18.75. Find the common ratio and the first term of this geometric series. [6]

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Might not be perfect

fiery maple
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what does gyre mean

compact laurel
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series

fiery maple
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okay

compact laurel
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think i got part a right

storm zodiac
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ratio is 1.5 so p+2nd term will be 24(1.5), p+3rd term will be 24(1.5)^2, p+4th term will be 24(1.5)^3 so 81

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yeah

compact laurel
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just unsure about part b

fiery maple
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its 81

compact laurel
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how did you determine that?

fiery maple
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im talking about the first part

compact laurel
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ah yeah

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right

fiery maple
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is it 22 - 8

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like 14?

compact laurel
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thats meant to be 22.8

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not takeaway

fiery maple
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oh

compact laurel
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mb

storm zodiac
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The sum of the first three terms can be represented by the eq a + ar + ar^2 = 22.8
and the sum to inifinity can be represented by a/1-r

fiery maple
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i got two equations a(1+r+r^2) = 22.8 and a/(1-r) = 18,75

storm zodiac
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= 18.75 right?

fiery maple
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idk how to solve them it looks bad

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oh nvm

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lol

compact laurel
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then do i swap a in to the equation?

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or am i wrong

fiery maple
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divide them u get a quadratic in r

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solve it and u get 2 roots of the quadratic

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choose the r with r<1 as it is an infinite series

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is it ok? @compact laurel

compact laurel
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all most caught up give me a second

fiery maple
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kk

compact laurel
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i got r= -0.8993 and r= 0.9496

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might of put = instead of <

fiery maple
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reject the first one

compact laurel
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yeah

fiery maple
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as negative r cannot provide a positive sum

compact laurel
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yeah mkes sense

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thanks

fiery maple
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wait a second

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it actually can i think

compact laurel
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yeah

fiery maple
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cuz the negative sign can change every alternate term right

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so it can add up i think?

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idk

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probably no

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but why do they give u so terrible numbers?

compact laurel
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just mean like that

fiery maple
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fr

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anything else you got?

compact laurel
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Find the sum of eighteen (eighteen) the first term of the geometric series 100 + 80 + 64 + … Give your answer correct to the nearest whole number. ) The second term of a geometric series is - 20. The sum to infinity of the series is 64. (i) Show that r, the common ratio of the series, satisfies the equation 16r^2 - 16г-5 = 0. (in) Find the value of r, giving a reason for your answer.

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Done most of this

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Has to be right I think cause I proved it

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it cant just be as easy as 5/4 or -1/4

fiery maple
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it comes out to be S = 100{1-(4/5)^18}/(1/5)

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the ratio is r = 4/5

compact laurel
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how did you get that

fiery maple
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80/100

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its the formula for sum of geometric terms in a geometric series

compact laurel
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where did 4/5 and 1/5 come from

fiery maple
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sum = a(1-r^n)/1-r

compact laurel
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somehow im still unsure

fiery maple
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i mean

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its the formula

compact laurel
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yeah i get taht

fiery maple
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u have to know it to solve the question

compact laurel
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but still dont know where you got 4/5 and 1/5

fiery maple
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you find the common ratio in a geometric series by dividing any two consecutive terms

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like here i divided the second term by first term

compact laurel
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so 80/100 and like 64/80

fiery maple
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80/100 is 4/5

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yes

compact laurel
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so did you just do 1- 4/5 to get 1/5

fiery maple
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yes

compact laurel
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okay

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i think im good now

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i dont kow how i didnt see that

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i got one last question if you're able to help

fiery maple
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no worries

compact laurel
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its pretty similar

fiery maple
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sure

compact laurel
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The eighth and ninth terms of a geometric series are 576 and 2304, respectively. Find the fifth term of the geometric series. (b) The first term of another geometric series is a and a common ratio is r. The third term of this geometric series is 24. The sum of the second, third and fourth terms of the gyres is - 56. Show that r satisfies your equation 3r^2 + 10r + 3 = 0. Knowing that |r|<1, find the value of r and sum to infinity of the series.

fiery maple
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the first bit is the same

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i think u can do it

compact laurel
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maybe 576/2304 and 1-576/2304?

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so like s= (576(1- (576/2304)^24/1728/2304

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r= 576/2304

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?

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1/4

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if so what would be the point in it giving me 3r^2 + 10r +3 =0

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nevermind

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thats a different part lol

fiery maple
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just get the two equations according to the questions

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on solving them u will get a quadratic

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which will be the quadratic given in the question

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then just find its roots given that |r| < 1

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then find the sum of infinite terms with the formula which i told u earlier

compact laurel
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somehow i cant get quadratic

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lol

fiery maple
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u get ar + ar^2 + ar^3 = -56 and ar^2 = 24

compact laurel
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yeah i got that

fiery maple
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put the value of ar^2 in the first one

compact laurel
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yeah

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done taht

fiery maple
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then u get the equations

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divide them

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u get hte quadratic

compact laurel
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ar + ar^3 = -80?

fiery maple
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yeah

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divide them u get the quadratic

compact laurel
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what do i do with that though

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ar^3/ar???

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oh no

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i seee

fiery maple
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(ar + ar^3)/ar^2 = -80/24

compact laurel
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ar + ar^2 +ar^3 = -56 / ar + ar^3 = -80

compact laurel
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i got that part thanks

compact laurel
fiery maple
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have you learnt geometry?

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like the conic sections?

compact laurel
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notyet

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i dont think

fiery maple
compact laurel
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how

fiery maple
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S = a(1-r^n)/(1-r)

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where a is the first term of the sequence

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not the 8th

compact laurel
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oh

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yeah

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what do you think the best way to get a is then

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like 576 share with 4

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like 8 times?

fiery maple
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you can get a by getting r first

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and as you know it is the 8th term

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ar^7 = 576

compact laurel
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i have r already

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its 4

fiery maple
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from there you can get a as well

compact laurel
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okay

fiery maple
compact laurel
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i got 44

compact laurel
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never heard that name

fiery maple
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conic sections

compact laurel
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i translated it and still didnt recognise it

fiery maple
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like parabola ellipse hyperbola circle

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coordinate geometry?

compact laurel
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i dont noramlly remember the names of anything im doing

fiery maple
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did u learn it

compact laurel
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to be honest them words dont really mean anything to me

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nothing comes to mind at all

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i mightve done it

fiery maple
compact laurel
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i learn in welsh

fiery maple
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how tf u translate parabola in welsh

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what lol

compact laurel
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idk tbh

fiery maple
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how old r u

compact laurel
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17

fiery maple
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lol same

compact laurel
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damn

fiery maple
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actually i might be younger than you

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i turnt 17 last month

compact laurel
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i trun 18 in 2 months

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turn

fiery maple
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damn bruh

compact laurel
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lol

fiery maple
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anything else?

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i need to study thermodynamics now

compact laurel
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i thik i done it wrong

fiery maple
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what

compact laurel
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i used r=4 when in the end im meant to be getting r<1

fiery maple
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isnt that for a different question?

compact laurel
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maybe

fiery maple
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get some sleep

compact laurel
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well

fiery maple
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its like 5am there

compact laurel
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its too late for that

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i got to go to school in 1 hour

fiery maple
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bro i learnt this shit when i was 16

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wth

compact laurel
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how

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bruh

fiery maple
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idk

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i learnt this in 11th grade

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im in 12th grade now

compact laurel
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how many subjects did you do at 15

fiery maple
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i was in 10th grade when i was 15

compact laurel
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so how many subjects was you studying then

fiery maple
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10

compact laurel
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bruh

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i guess im just dumb

fiery maple
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thats why we are asians

compact laurel
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i am in a school thats classed as like a poor area

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and like a bad area i guess

compact laurel
fiery maple
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believe me u guys have more perks there

compact laurel
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you think?

fiery maple
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yeah ig

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UNITED KINGDOM

compact laurel
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well anyways anychance you can help me get a and r in the last question i need to do back up the chat

fiery maple
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just solve the quadratic

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given in the quetsion

compact laurel
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ah yeah

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i dont know why i didnt do that

fiery maple
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lol

compact laurel
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i got r= -1/3 or r= -3

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so it has to be r = -1/3?

fiery maple
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yes

compact laurel
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okay

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i think im finally done

fiery maple
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get some sleep then

compact laurel
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thanks for all the help man i really appreciate it

fiery maple
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no worries

compact laurel
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cya

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.close

hearty boneBOT
#
Solved

Post marked as solved by @compact laurel.

Use .unsolved if this was a mistake.

fiery maple
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happy schooling ig idk