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misty pivot
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alpine sable
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is there any way to know what x and y are in the case of
4=x²+y²

raven haven
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can be anything

alpine sable
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because it could be anything I feel like

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yeah xD

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tyty

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. close

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echo socket
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Perhaps x and y are supposed to be integers?

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steady basin
lone heartBOT
steady basin
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how r u supposed to use

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C^-1

keen mason
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inverse matrix

steady basin
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well

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u cant use the inverse matrix of C here

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is it just a typo in the question?

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maybe it should have said 2x + 4y??

worn fox
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That would make more sense

steady basin
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isnt it

keen mason
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XD

worn fox
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Well now you have two different problems you can solve

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Extra practice

steady basin
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i cba

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ill do 1

steady basin
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how did they get that

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question is rigged

sly mantle
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see your notes on how to compute eigenstuff

steady basin
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but the mark scheme is clearing wrong

sly mantle
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ah the (2,2) entry

steady basin
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yessir

sly mantle
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the original C has ugly eigenvalues so id stay with the solution

steady basin
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ye

hollow sparrow
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a typo in matrix C i guess

sly mantle
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yes the typo leads to ugly eigenvalues

hollow sparrow
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in Calculus now in linear algebra opencry

steady basin
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u know for this

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i worked it out

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and star is commutative

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but i found its not associative

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but it says show that its associative

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?

sly mantle
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can u show its not associative

steady basin
steady basin
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agree?

sly mantle
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to show * isnt associative u just need to give me specific a,b,c where equality fails

steady basin
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but yh

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counterexample would work

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but my point is

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the question asks to show its associative

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but ive proved it isnt

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so whos right the question or me

sly mantle
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to prove * is associative we show (ab)c=a(bc) for all a,b,c
to prove * is not associative we show (ab)c!=a(bc) for some a,b,c

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so if u believe the latter, i need specific a,b,c

steady basin
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a separate MS showed this

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guess im correct

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wohooo

steady basin
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so i guess u dont need a counterexample

sly mantle
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then youd need to pick specific a,b,c

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in general what i said is how to prove a property about an operation, but if a full proof isnt needed and both you and the reader are strong enough at algebra then the above argument can be accepted

steady basin
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royal matrix
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hi

lone heartBOT
royal matrix
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please

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im really crap at maths

vale wigeon
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if this said Work out 29 - 28 would you be able to do it?

royal matrix
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uhhh

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1?

vale wigeon
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yes

royal matrix
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so is that the answer?

vale wigeon
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also, word of advice: don't go around crying about how "bad at math" you are. it's not going to attract more helpers.

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yes, 1 is the answer.

royal matrix
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YAY tysm

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how about this one?

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would it be

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39+13

vale wigeon
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no, it would be 39 - 13.

royal matrix
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26?

vale wigeon
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adding -13 is the same as subtracting 13.

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yes

royal matrix
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omg i love this server

royal matrix
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would this be

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uhhhh

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20?

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or 8

vale wigeon
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you are subtracting +6 from 14

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+6 is just 6

royal matrix
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ohhh so 20?

vale wigeon
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no

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you are subtracting 6 from 14

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surely that will not give you 20

royal matrix
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hmm

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8?

vale wigeon
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yes

royal matrix
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forthis one

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it wouldbe

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19?

vale wigeon
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yes

royal matrix
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FIRST TRY

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YES

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can i be honest

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discord is the last place i would have thought to get help with my maths homework from

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uhh what does the brackets mean

vale wigeon
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nothing special

royal matrix
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so it would be 42?

vale wigeon
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it is visually unpleasant to see two minus signs one directly after the other

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no

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-32 - (-10) = -32 + 10

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= -22

royal matrix
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so the answer is -22?

vale wigeon
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yes, as i just said.

royal matrix
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sorry my dyslexia is kicking in

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for this one

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it would be

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10?

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-10

vale wigeon
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-10

royal matrix
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YES

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ty

alpine sable
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I wonder why they're putting brackets randomly

royal matrix
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and for this one

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would it be

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-21?

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how about this one?

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42?

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please help

alpine sable
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yes

royal matrix
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YAY 100%

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guys im learning more from you, then i am from my maths teacher

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58.8 divided by 8

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how do i do that

vale wigeon
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do you know how to do long division in general

royal matrix
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nope

vale wigeon
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...might wanna learn that then

royal matrix
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not in generl

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general

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I know how to do it

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though

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btw what is 11x2

grim crag
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22

royal matrix
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ty

vale wigeon
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... gotta brush up on your multiplication too!

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anyway

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so you know how to do long division but you cannot do it on 58.8/8 specifically?

royal matrix
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I only got 20% for my maths exam

grim crag
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thats okay people learn in different ways and paces

royal matrix
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or as americans say "math"

royal matrix
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thats what counts

grim crag
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yeah :)

vale wigeon
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the exact percentage you got in your exam does not really matter for our purposes

royal matrix
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i say you do colum methos

grim crag
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fr

royal matrix
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methods

vale wigeon
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in fact if your goal is to learn math then grade numbers should all be taken with a grain of salt

royal matrix
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and then you remove the decimal point

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then times it by 10 after your done

vale wigeon
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almost. except at the end you divide by 10, not multiply.

royal matrix
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oh yes

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ill try on a piece of people and ask if i did it right

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is it 7.35

vale wigeon
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,calc 58.8/8

ocean sealBOT
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Result:

7.35
vale wigeon
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checks out

royal matrix
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you could have just done that??

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,calc 3/5

ocean sealBOT
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Result:

0.6
vale wigeon
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well i don't have any paper on me to do arithmetic by hand nor the desire to do it

royal matrix
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,calc 2.4/8

ocean sealBOT
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Result:

0.3
vale wigeon
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you on the other hand want to get your math up to speed

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or so i gather

royal matrix
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yes

vale wigeon
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so i would recommend against using calculators of any kind too much (or at all, even)

royal matrix
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well

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i do struggle reading a bit aswell

vale wigeon
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they are fine for checking your answers but you have to resist the temptation to throw the numbers in first

royal matrix
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so i get the maths worded questions wrong

royal matrix
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what the actual f

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I cant do this

vale wigeon
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... this is not any kind of test or anything is it?

royal matrix
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what do you mean

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i actually got homework to do

vale wigeon
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okay so this is homework

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that's what i wanted to know

royal matrix
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its just some work

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nvm that has my teachers name on it forget that

vale wigeon
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anyway, variables as a concept are a good bit more abstract than numbers

vale wigeon
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so if you struggled with numbers just now, i would not blame myself for struggling with a problem involving variables if i were you

royal matrix
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i know how to do algebra

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a bit

vale wigeon
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if you have time, you might want to look at resources like khanacademy to practice stuff from the ground up

royal matrix
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this is due tommorrow and its 9pm

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:((

vale wigeon
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would that make it easier for you?

vale wigeon
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(would be less letters, for sure)

royal matrix
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ok

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quick question

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am i allowed to post website links here because i think i found a website

vale wigeon
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there is no rule against website links

royal matrix
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is this legit

vale wigeon
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yuck!

royal matrix
#

?

vale wigeon
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don't use that or anything like it

royal matrix
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is it fake

vale wigeon
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doesn't matter

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it'll actively harm your efforts to learn math

royal matrix
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itdoesnt seemlegit

vale wigeon
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and you should not use it even if is was legit

royal matrix
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anyways ill listen to you, as you are more professional then a website

alpine sable
royal matrix
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would a be -3

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beacuse you do -3 x 2

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which is -6

vale wigeon
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yes

royal matrix
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then you + 3 which is -3

vale wigeon
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better to use an asterisk rather than the letter x for multiplication

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but yes, 2*(-3) + 3 = -3

vale wigeon
royal matrix
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ohh

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ok

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this be 1?

vale wigeon
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yes

royal matrix
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yay i got them all right!

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i just found out I am capable of doing this, its just lazyness

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what did i get wrong

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it says it is wrong

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pls someone help

vale wigeon
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a is wrong

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everything else is ok

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a = 2*(-3) + 2 = -4, not -2 as written

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i'm gonna sleep now so if i don't respond that's why

royal matrix
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ty for your help

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<33

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what are the answers for this one someone?

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ANYONE

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PLS

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HELP

boreal zinc
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Pls help on this

royal matrix
#

create a channel

lone heartBOT
#

@royal matrix Has your question been resolved?

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hardy shell
#

help, I did row 2 - 2*row1 which is correct but dont know what else to do

hardy shell
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i did row3-3*row1 as well but apparently thats not right

crimson totem
hardy shell
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huh

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how

crimson totem
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multiply 1st equation by 2

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and then subtract 2nd equation from the result

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then
multiply 1st equation by 3 and subtract 3rd equation from the result

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the 2 resultant equations will be in the form of linear equation in 2 variables

hardy shell
#

I see

#

thank you

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.close

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gleaming jasper
lone heartBOT
gleaming jasper
#

why’s this wrong

alpine sable
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.rccw

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uhhh what was the command to rotate a img again

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i forget

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.rrcw

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.rcww

ocean sealBOT
alpine sable
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oh

main kraken
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well

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that’s (sqrt5)^3 / (sqrt4)^3 all right

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but wait

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do you know what a cube root is

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@gleaming jasper

gleaming jasper
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yes

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ok i know why it’s wrong now but i don’t get why the answer is

#

hold on

#

like what

lone heartBOT
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@gleaming jasper Has your question been resolved?

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azure jungle
#

How do I know what x will make the whole equation equal to 0?

azure jungle
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example

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f´´(x) = 3x^2 - 6/2x

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that must be = 0

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so:
f´´(x) = 3x^2 - 6/2x = 0
x=?

boreal verge
#

you solve it normally?

outer lark
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6/(2x) ?

azure jungle
outer lark
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so 3x^2 -3x = 0?

azure jungle
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or so, yeah

outer lark
#

quaaadratic formulaaa? hmmCat

azure jungle
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I just need it to be 0

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how do I find that

outer lark
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quadratic formula

boreal verge
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or factor

hollow sparrow
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3x² - 3x = 0 <=> 3x(x - 1) = 0
|| <=> x = 0 OR x - 1 = 0
<=> x = 0 OR x = 1||

outer lark
azure jungle
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thankss

hollow sparrow
azure jungle
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but

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where did the -1 come from

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is that the x

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last one

hollow sparrow
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since :
3x² - 3x = 3x(x - 1)

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that means :
3x = 0 OR x-1 = 0

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if one of them (x or x - 1 ) equal to zero then the whole equation will too

azure jungle
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ye, but I can't just be putting 0's in every quadratic formula?

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like

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I have 7 numbers that all multiply

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and every single one has an x

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My solution would be, make the x = 0 and boom, everything is 0

azure jungle
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I just tried brute force of logical numbers

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and 1 works

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x = 1

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or x = 0

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3x² - 3x = 0
3 * 1^2 - 3 * 1 = 0
OR
3 * 0^2 - 3 * 0 = 0

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would both answers be considered correct?

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can't be, cuz that x is my x-coordinates for my inflection point

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😭

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okay so, 0 is the correct one, x=1 is wrong

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it is all wrong

azure jungle
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I need to get these 2

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And I don't know what to do

hollow sparrow
#

you need just to find the value of y

azure jungle
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right now I have:
f(x) = 1/4 * x^4 - 1/2 * x^3 - 2
f´(x) = x^3 - 3/2 * x^2
f´´(x) = 3 * x^2 - 6/2 * x
f´´´(x) = 6x - 6/2

azure jungle
#

hold on

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(" I looked in solutions to draw this graph")

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but

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because
X = 0 and x = 1 made the whole equation 0, they are the 0 points

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okay

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but now, to find y, I need to insert x=0 orx=1 in f(x) = 1/4 * x^4 - 1/2 * x^3 - 2

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and that does not give me the solution

azure jungle
#

nvm

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I am tired man

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I typed in the equation from a different task in my calculator

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🤦‍♂️

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It works

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like 3 other ones I finished

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...

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thanks for helping

#

.close

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hollow sparrow
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quick pulsar
#

If x^2 + xy +y^3 = 1, find the value of y''' at the point where x = 1

quick pulsar
#

So this problem is asking me to use implicit differentiation on this equation to find the point where x = 1. I can't seem to figure it out though as im confused on how to do triple implicit differentiation

#

Can someone walk me through the problem step by step

#

im currently stuck with dy/dx = -2x/(1+3y^2) and I dont how to approach from there

#

<@&286206848099549185>

lone heartBOT
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@quick pulsar Has your question been resolved?

lone heartBOT
#

@quick pulsar Has your question been resolved?

quick pulsar
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.close

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last pond
#

Proving angles 1,2,3, and 4 are all right angles. But using postulates, theorems, and definitions.

last ether
#

You can't assume right angles lol

alpine sable
#

^ Proof by picture is terrible way to proof.

last pond
#

it's asking me to prove this statement

alpine sable
#

How do you know they are perpendicular?

last ether
#

And how do you know they are perpendicular?

last pond
#

the question says it is

alpine sable
#

You have no information, no angles nothing.

last ether
#

That's crucial information if the problem gives you it

#

You didn't provide that

#

If that's the case, use the properties of perpendicular lines and vertical angles

alpine sable
#

Angles at a point equal 360 degrees

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360 / 4 = 90

#

If they are perpendicular and they are meeting at a point then they must be at right angles to each other.

#

and according to vertically opposite property they intersect and if 1 side intersects at 90 degrees then the other must intersect at 90 degrees.

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and according to angles on a straight line they must also equal 180 degrees

#

and therefore all angles must be at 90 degrees.

last pond
#

.close

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young quest
#

I have a question how do you solve this math equation? I understand semi partially but I am still confused.

rose schooner
#

so u want to isolate R

#

PV/nT = R

#

so let me spell this out

#

P * V = N * R * T

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by dividing both side by N*T you can have one side with R isolated

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@young quest does it make sense

young quest
#

I understand it a little bit but I still confused because it my first time learning about this math equation

rose schooner
#

i think thats teh pressure equation for chemistry

rose schooner
#

which part

young quest
rose schooner
#
  • = multiplying
#

P x V = N x R x T

#

same thing

wary stream
#

If you have 12 = 24R, do you know how to solve for R?

gray isle
#

where the equation is applied doesn't really affect what you'd do to isolate a variable here

young quest
#

I was looking the textbook example it had it flip in opposite direction would the answer be R = PV/nT? (but in a fraction form)

gray isle
#

()

alpine sable
#

Simple interest formula.

gray isle
#

R = PV/(nT)

#

Simple interest formula.
no

alpine sable
#

Oh gas law

#

Changing subjects.

gray isle
#

flip in opposite direction
poor description

#

best to describe actions as applying the same operation to both sides

young quest
#

I couldn't describe it well because I refencing the textbook example I didn't how to explain to you.

gray isle
#

no that makes no sense

#

because its really messed up and wrong

young quest
#

not really the last is not the correct answer to the math equation

alpine sable
#

Oops I just noticed.

gray isle
#

best to describe actions as applying the same operation to both sides
consider simpler equations
like
123x = 7
where to isolate/solve for x,
what you'd do would be best described as dividing both sides by 123

young quest
#

.close

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#
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oblique trail
#

What do you need help with

lone heartBOT
#

@alpine sable Has your question been resolved?

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dusky escarp
#

When a spring is compressed 15 cm from its rest length, it stores 40 J of elecstic energy. If a 30 kg object is suspended from this same spring, then how far would it stretch from rest length

dusky escarp
#

Please help

#

Idk how to do this

#

please🙏🙏

#

like idk why I cant get it

#

idk how to get K in the formula of Spring

#

<@&286206848099549185>

#

Idk where to start

#

Idk what to do

#

I have tried every possible answer

#

and way

lone heartBOT
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@dusky escarp Has your question been resolved?

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long spindle
#

hi can someone help with this?

lone heartBOT
valid lake
#

2 < x < 4

long spindle
#

i know that to be speeding up, both acceleration and velocity need to be the same signs, but how do i find that on the graph?

muted wigeon
#

hello i am new to this server i really need help on this problem i really struggle with math : ( i started classes week ago i need help figuering out this question my professor gave us for extar credit

#

Find five consecutive integers such that:

“The sum of the first and 5 times the third is equal to 41 less than 3 times the sum of the second, fourth, and fifth.”

Make sure to list ALL five integers in your answer and show all of your work!

long spindle
long spindle
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@long spindle Has your question been resolved?

long spindle
#

<@&286206848099549185>

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.close

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steel tiger
#

How do you find the level of signifiance within questions like these?

gusty gorge
#

compute the p-value

merry depot
#

Usually it’s 1 - (confidence interval size)

gusty gorge
#

check if it's < 0.01

steel tiger
#

Ah ty

#

So in this case it would be 1-0.99?

gusty gorge
#

yes it would be

steel tiger
#

Ah gotcha

#

Ty for the answer!

wanton hatch
#

Anyone? I need help on this

long axle
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red vault
#

how do i get help

lone heartBOT
wheat isle
#

you ask for help here

sullen meteor
#

Ye

red vault
#

ok so i jus ask me math question now

sullen meteor
#

Ye

wheat isle
#

yes

red vault
#

how do i find what percent of 18 is 12

sullen meteor
red vault
#

ok lets see

sullen meteor
#

Basically divide the number by the total

red vault
#

yay its right

sullen meteor
#

Nice

red vault
#

i gonna have to be up so long for math finals

sullen meteor
#

Good luck

red vault
#

thank u

sullen meteor
#

Don’t do what I did and bomb

red vault
#

i try

sullen meteor
#

Good luck and study hard

red vault
#

do u find helping other people with math fun

strange meadow
#

yes

red vault
#

how do i do this i already know the answer but not how to solve

gusty gorge
#

try multiplying both sides by x-6

#

alternatively, if you don't like fractions

#

raise both sides to the -1 power

#

to get (x-6)/x = 3

strange meadow
#

the best thing to do is get rid of all the fractions by cross multiplying

red vault
#

so would i do 3*x then get 3x

#

nvm i just got it

strange meadow
#

3x=x-6

#

you probably got it

red vault
#

ya then i subtracted the x from x-6 from 3x so i got 2x = -6 then dived and got x = -3

#

did i get this right

#

i know the first part is right because that is the 2 slope points

#

its just the = part

#

how do i find 3 consecutive integers whos sum is 171

gusty gorge
#

what are the next two in terms of N

#

can you write an equation for it

fathom slate
#

can someone help me with my hw

gusty gorge
#

probably but you need to make your own channel from the available channels

red vault
#

how do i do this one

#

im going to bed

tacit arch
red vault
#

.close

lone heartBOT
#
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alpine sable
#

how do i parametrize something like (2x^3/y)+2xy+(3y^2x/5) so i can line integrate

alpine sable
#

bc i just realized i can only parametrize easy things that arent in terms of f(x)

tacit arch
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slim moth
#

∑n=0∞(−1)nn3n∑n=0∞((−1)nn+1+(−1)nn+2) help me in this

slim moth
#

never mind i solved it

tacit arch
#

.close if you're done

#

.c.ose

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#

@slim moth Has your question been resolved?

tacit arch
#

.close

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astral sedge
#

Can someone please help me I do not understand how to do this. Thank you in advance.

gusty gorge
#

the corresponding angles in the figures are the same

#

you're given 3 of the angles

#

furthermore, you can use the fact that the angles inside a quadrilateral add up to 360 degrees

astral sedge
#

Oh I completely forgot about that thank you so much!

#

Have a great day

#

.close

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wheat crystal
lone heartBOT
wheat crystal
#

problem #55

alpine sable
#

So, what have you tried

wheat crystal
#

so what u do on these problems

#

is split the denominators

#

so i got A/x + b/x^2 + c/x^2+3 + d/(x^2+3)^2

#

but apparently my numerator is wrong

#

like instead of C its Cx+d

#

and instead of D its Ex+f

#

is it because its a nonfactorable quadratic

#

Welp..

#

.close

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spare plaza
lone heartBOT
spare plaza
#

Teacher hinted that use distance formula

#

But i don't know how to do it

vale wigeon
#

is the 13 meant to be under the root or not?

spare plaza
#

Under prolly

vale wigeon
#

"prolly" sully

spare plaza
#

Well yes its under

vale wigeon
#

what comes to mind is x^4 + 5x^2 + 4 = x^4 + 4x^2 + 4 + x^2 = (x^2 + 1)^2 + x^2

#

so $\sqrt{(x^2+1)^2 + x^2}$ could be read as, say, the distance between $(x, x^2+1)$ and $(0,0)$

ocean sealBOT
spare plaza
#

Oh ok thats good

#

Wait its (x^2+2)^2 ig

vale wigeon
#

yeah oops typo

#

the idea's still there tho

spare plaza
#

Ok ok

vale wigeon
#

something similar could likely be done with the other radical

spare plaza
#

Yup

#

Oh wow its done

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novel oar
#

Hello can anyone help for 4th question

lone heartBOT
novel oar
#

i don't know what must i do lol

mortal trellis
#

IVT

novel oar
#

but we have no interval

#

When:

The curve is the function y = f(x),
which is continuous on the interval [a, b],
and w is a number between f(a) and f(b),
Then ...

... there must be at least one value c within [a, b] such that f(c) = w

raven haven
#

are you asking about q4

#

can you type it out please (LaTeX preferably)

novel oar
#

Proof that x*9+3x-1 has at least one solution.

tacit arch
raven haven
tacit arch
#

You're supposed to find the endpoints

mortal trellis
#

choose a and b so that f(a) and f(b) have different signs

novel oar
#

i got it thanks all

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#

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alpine sable
#

i need help of some math of finding parallel or smthing

alpine sable
#

my teacher said, i gotta write these simple stuff to graduate, but the point is i dont even understand

rocky grove
#

Hmm

alpine sable
rocky grove
#

Would you like to read about your lesson or are you more comfortable listening to a video?

alpine sable
#

i dont think i got time

#

gotta turn in in under 15 minute

#

._.

rocky grove
#

Okay I'll tell you a small hint

alpine sable
#

alr alr

#

thanks

rocky grove
#

Angles of the same color are the same

#

This is your hint

#

@alpine sable

alpine sable
#

thanks ima try to figure it out

rocky grove
alpine sable
#

nvm i give up

rocky grove
#

Okay so

#

As I showed you in the picture

#

The black angles are the same

#

And the red angles are the same

rocky grove
#

It shows us 2 angles opposite to each other from the inside right?

alpine sable
#

its fine its fine, failing one subject wont hurt too much i guess

alpine sable
#

i cant math

rocky grove
#

Don't have a mindset of this type

#

You can do this

#

Don't give up unless you tried all your efforts

alpine sable
#

A

rocky grove
#

Anyways

#

1st question

#

We have 2 angles opposite to each other

#

24x + 3 and 26x -3

#

Let's refer to what I sent

#

Looks like if 2 angles are opposite to each other from the inside, then they are the same

#

So

#

(24x+3) = (26x-3)

alpine sable
#

ohhhh

#

alr alr

#

ig ik how rn Man

rocky grove
#

Nice nice

#

Hope you get an A+ at least

alpine sable
#

thanks

lone heartBOT
#

@alpine sable Has your question been resolved?

#
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high ether
#

how is this a homogenous differential equation?

high ether
#

shouldnt the second member be 0

#

unless idk what homogenous means

#

my book says it's homogenous

rocky grove
#

Try dividing by x

#

Also

#

Homogeneous diff equation is a differential equation where every term is a derivative of y, and where all the derivatives of y are raised to the first power

#

Like y' + y = 1 is a homogeneous function

#

While (y')^2 -2xy^2 = 15y is not

red vault
#

help please

placid swallow
#

I'll gladly help u

red vault
placid swallow
#

pick what u want

kindred anchor
#

$F(x,y)=y'=\frac{1+xy}{x}$

ocean sealBOT
kindred anchor
#

I don't think it's homogenous

#

Besides, My knowledge in DEs is a bit rusty smh

lone heartBOT
#

@high ether Has your question been resolved?

high ether
#

is y'+y=2 homogenous?

#

ill wiki it

placid swallow
#

what is this

limpid turret
#

<@&268886789983436800>

high ether
#

.close

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#
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woven jetty
#

can someone help with 11 e pls

lone heartBOT
placid swallow
wind cloak
#

Expand it all out

#

Then put it back together

#

Or there's another way I suppose

#

Not sure if it would work

placid swallow
#

exactly

wind cloak
#

You can use the difference of squares for the center

#

And then factor

placid swallow
#

just factor p^2 - q^2

wind cloak
#

Oh then it becomes a perfect square

woven jetty
#

ohhhhhh

wind cloak
#

Cool

woven jetty
#

thank you

#

.close

lone heartBOT
#
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woven jetty
#

ty guys

lone heartBOT
#
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tulip egret
#

pls someone help me solve radical equations in one variable. only 7 questions

placid swallow
#

mind that solving radical equations means usually solving a system

tulip egret
placid swallow
#

which one do you wanna start with?

tulip egret
#

im not sure about 1 and 2

placid swallow
#

what have you done so far?

tulip egret
#

1 2 and 4

#

also 4 im not sure if its correct

placid swallow
#

show the 1st one

tulip egret
#

x=8

placid swallow
#

i mean the steps

tulip egret
#

i didnt solve it by my self

#

i used some apps but idk if its correct or no

placid swallow
#

is it (2x)^2/3 or just 2 * x^2/3

tulip egret
#

2x^(2/3)=8

placid swallow
#

nice

tulip egret
#

i wanted to do this one quick cuz i have another 7 HW

placid swallow
#

I wanna see your actual work

#

@tulip egret

#

and btw the answer is not 8

tulip egret
#

the steps and all of this?

placid swallow
#

yes

tulip egret
#

i didnt do it

placid swallow
#

well, do it

tulip egret
#

i dont know how

placid swallow
#

I'd start by writing the LHS in radical form

tulip egret
#

i want to finish it fast cuz i also have 7 hw left

tulip egret
#

i didnt understand anything from the first day

placid swallow
#

have you followed lectures?

#

Well, yeah, that might be an issue.

tulip egret
#

yes

placid swallow
#

what does it mean ^2/3

tulip egret
#

and ig they gave us that yesterday

tulip egret
placid swallow
#

you can express that in radicals

tulip egret
placid swallow
#

yeah

#

also, it's (2x)^2/3

tulip egret
#

idk the teacher wrote it this way

placid swallow
#

isolate the x

#

First

tulip egret
#

can u solve it for me pls

placid swallow
tulip egret
#

rn i have to submit 8 hw

placid swallow
#

I'm pretty sure you can do it

tulip egret
#

i dont even remember what we took at school

#

if i remember i will solve it by my self

#

im also rn solving biology hw

lone heartBOT
#

@tulip egret Has your question been resolved?

#
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pallid igloo
#

me and my classmates have been struggling on this problem, can anyone please explain this carefully?

hard patio
#

well first off the figure is slightly misleading

pallid igloo
#

i know right

hard patio
#

ye lol

pallid igloo
#

but is there like a way to solve this w/o the figure?

hard patio
#

so start off with GA = SN

pallid igloo
#

mhmhm i already wrote that down :D

hard patio
#

subtract IA from both sides

hard patio
pallid igloo
hard patio
#

mind telling me what else youve worked on

pallid igloo
#

what i wrote is just the given lol

#

GA = NS, given

#

IA = TS, given

#

thats it :))

hard patio
#

:))

#

okay so

#

GA = NS

pallid igloo
#

what next?

hard patio
#

subtract IA from both sides, so you get GA- IA = NS - IA

#

right?

pallid igloo
#

yes yes

#

subtraction property is the reasoning?

hard patio
#

now IA=TS

pallid igloo
#

ahh i see but i also need the reasons though :))

thorny root
#

reasons are rather for the conclusions you have come to along your proof not really why did you make a step

hard patio
#

if you know the working

#

and understand it

pallid igloo
hard patio
pallid igloo
#

ahh alr

#

lets go back to what you were saying then thanks

hard patio
#

where?

pallid igloo
hard patio
#

so GA - IA = NS- TS

#

what atre those now

pallid igloo
#

hm

hard patio
#

now, look at the figure

thorny root
#

yes, there is a one more "pseudo-given" which stems directly from the diagram

#

and ultimately helps you solve it

pallid igloo
#

i dont get it 😭

thorny root
#

it's really straightforward

#

so straightforward that you may overlook it many times

#

or ignore

hard patio
#

look at the figure, and see what both sides of the equation mean in the diagram

pallid igloo
#

idk but the lines are not equal

thorny root
#

tell me

#

what does GI + IA equal to

pallid igloo
#

st + tn?

thorny root
#

sure but that's leaping over a step

#

or two

pallid igloo
#

oh then im kinda stumped 😭

thorny root
#

GI + IA is equal to the line GA

pallid igloo
#

o

thorny root
#

that's all you need to notice

#

and ST + TN is equal to the line SN

thorny root
pallid igloo
#

so line segment ga = line segment sn?

thorny root
#

that's given, yes

pallid igloo
#

o right aaaaaaaaa

thorny root
#

you just need to decompose the lines GA and NS in that equation

pallid igloo
thorny root
#

sure

pallid igloo
thorny root
#

kinda?

#

decompose the lines AG and NS

pallid igloo
#

so

#

GA + IA - IA = ST + TN - TS

#

???

thorny root
#

yup

#

that's the final step

pallid igloo
#

wait thats all?

thorny root
#

yes just simplify the equation by cancelling out the terms

pallid igloo
#

GA = TN

thorny root
#

GI*

#

you had a typo

pallid igloo
#

OHHHHHHHH

#

i was following his equation aaa

thorny root
#

you got it

pallid igloo
#

i feel a lot better now thanks :))

#

yess

#

thank you man

thorny root
pallid igloo
#

.close

lone heartBOT
#
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bleak pine
#

Hello, I don't quite understand how to solve this complex limit

bleak pine
#

$\lim_{z \to 0} \frac{cosz - 1}{z^{3}} , z\in \mathbb{C}$

ocean sealBOT
#

draganb

keen mason
bleak pine
#

<@&286206848099549185>

lone heartBOT
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@bleak pine Has your question been resolved?

bleak pine
#

<@&286206848099549185>

lone heartBOT
#

@bleak pine Has your question been resolved?

bleak pine
#

.close

lone heartBOT
#
Channel closed

Closed by @bleak pine

Use .reopen if this was a mistake.

lone heartBOT
#
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ruby bison
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does a neither function have an inverse?

lone heartBOT
vale wigeon
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wdym by "a neither function"

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do you mean a neither-even-nor-odd function?

ruby bison
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yes

vale wigeon
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if so then you can't tell from that info alone. there exist functions which are neither-even-nor-odd and have an inverse, and there also exist ones that don't.

ruby bison
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well i need to explain that x2-4x+9 does not have an inverse

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idk how i would do that

vale wigeon
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did you mean x^2 - 4x + 9?

ruby bison
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i cant use the hor. line this

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test

ruby bison
vale wigeon
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so you are disallowed from pointing out that, say, f(0) = f(4) and so the function is not one to one and hence not invertible...?

ruby bison
vale wigeon
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you say you "can't use the horizontal line test"

keen mason
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Can u not just says its a many to one function?

vale wigeon
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so clearly you have some special instructions

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about what kind of argument is allowed and what isn't

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is that so?

ruby bison
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basically

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prove the function does not have an inverse function

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with using the hor. line test

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so basically not using a graph and just algebraically

keen mason
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???

vale wigeon
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...

keen mason
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but u said with using the hoz line test?

vale wigeon
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@ruby bison show us a picture of the problem statement

ruby bison
vale wigeon
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right

ruby bison
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wait

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without

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sorry

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my bad

keen mason
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Xd

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u have f(x)

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get f^-1(x)

vale wigeon
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so then pointing out that p(0) = p(4) would not be in violation of this instruction.

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it's called p, not f.

ruby bison
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i dont get

keen mason
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and put x and 0 into the equation also

ruby bison
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where di 4 come from

vale wigeon
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do you mean "i don't understand what you are saying" or "i understand what you are saying but not how you came up with it"

ruby bison
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i understand what u are saying

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just idk where 4 came from

vale wigeon
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p(x) = x(x-4) + 9

ruby bison
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and why i need to sub in 0

vale wigeon
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x(x-4) has two obvious roots at 0 and 4, thus your function will have the same value (9 in this case) at both said roots

ruby bison
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oh so basically

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i can say that

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its a many to one function because

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the two roots both have the same y value?

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hence the many to one

vale wigeon
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you're trying to look for something sophisticated in this

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don't

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i mean sure you can call it a many-to-one function if you want

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if thats what your teacher wants from you

ruby bison
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he just wants me to prove

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it does not have an inverse

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so if its many to one means it does not have inverse cus inverse can happen when only one to one

keen mason
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if you try to get the inverse of that function

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you would end up with 2 functions, coz its kinda not possilbe

ruby bison
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ok

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so i can explain like i did above right

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both roots have same y value

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so its many to one

keen mason
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U could its probably not enough, give the example ann give along with it

ruby bison
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hence no inverse

keen mason
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Yea

ruby bison
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thank you

lone heartBOT
#

@ruby bison Has your question been resolved?

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Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
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cold zenith
lone heartBOT
cold zenith
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the first screenshot is me trying to show the common difference is 9

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for some reason i keep getting the wrong answer and i cant see what is wrong with how i am trying to find d

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i am using the formula for arithmetic series

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for both the fifth and twentieth term and then i am trying to find d using simultaneous equations

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i really dont know what is wrong with how im trying to approach this

alpine sable
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an = a1 + (n – 1)d is arithmetic sequence formula

cold zenith
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but its a series

delicate jacinth
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46 = a_1+4r
181 = a_1+19r
181-46 = 15r
r = 9

vale wigeon
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@cold zenith it says the 5th TERM is 46, not that the SUM OF THE FIRST 5 TERMS is 46.

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you either misread or misinterpreted the problem

cold zenith
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but isnt the fifth term in a series the sum of the first 5 terms of a sequence?

vale wigeon
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no

cold zenith
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lol

vale wigeon
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you are confusing terms with partial sums

cold zenith
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i thought a series was a sum of terms in a sequence

vale wigeon
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in all honesty, the way this problem uses the word "series" feels like a misuse of terminology to me.

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but they would not write "fifth term" to mean "fifth partial sum", that's for sure.

cold zenith
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am i right in thinking that series cant have common differences because each term gets increasingly bigger or smaller?

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so when it says common difference it must be for a sequence?

vale wigeon
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you're kind of right but also kind of not and it's hard to say exactly what is wrong

cold zenith
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ok so i would just use the formula for sequences here?

vale wigeon
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the what

cold zenith
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a + (n-1)d

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instead of the formula for series

vale wigeon
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you were taught that as "the formula for sequences"?

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yikes

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that's the n'th term of an arithmetic sequence, surely...

cold zenith
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thats what i mean

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Un = a + (n-1)d