#help-33

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marsh citrusBOT
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ivory laurel
marsh citrusBOT
ivory laurel
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I’m confused as to how they get the geometric sequence

marble shoal
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are you confused on how they concluded it was a geometric sequence or the (1/(1- 1/10^k))?

ivory laurel
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How they concluded the recurring part can be factored into the two things

marsh citrusBOT
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@ivory laurel Has your question been resolved?

marble shoal
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oops, sorry, i was afk for a while...
if you still need the answer:

  1. they factored out the 1/10^k to have an infinite geometric series with a = 1 and r = 1/10^k
  2. then they used the infinite geometric series formula: a/1-r
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terribly sorry :(

marsh citrusBOT
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@ivory laurel Has your question been resolved?

marsh citrusBOT
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still temple
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hi

marsh citrusBOT
still temple
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can anyone help

ivory sundial
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post question

still temple
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ok

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wait

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  1. Use Euclid’s division algorithm to find the HCF of:

i. 135 and 225

ii. 196 and 38220

iii. 867 and 255

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tell

worthy trellis
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Show your work

still temple
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?

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means

worthy trellis
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Your work? Your progress along with where you are stuck?

still temple
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ok

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so deol you can see, from the question 225 is greater than 135. Therefore, by Euclid’s division algorithm, we have,

225 = 135 × 1 + 90

Now, remainder 90 ≠ 0, thus again using division lemma for 90, we get,

135 = 90 × 1 + 45

Again, 45 ≠ 0, repeating the above step for 45, we get,

90 = 45 × 2 + 0

The remainder is now zero, so our method stops here. Since, in the last step, the divisor is 45, therefore, HCF (225,135) = HCF (135, 90) = HCF (90, 45) = 45.

Hence, the HCF of 225 and 135 is 45.
is my answer correct??

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i want to just confirm

worthy trellis
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Yes

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Lol

still temple
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?

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yes

worthy trellis
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It’s correct

still temple
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lets gooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

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thanksssssssssssssssssssssssssssssss

worthy trellis
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That was so elaborate lol

still temple
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deolllllllll

worthy trellis
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Ye?

still temple
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because

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i am topper of my class

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and write fast

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hehe

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🙃

worthy trellis
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Lol

still temple
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lol

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bro

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dm

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?

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you indian

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@worthy trellis

lean flame
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He is from Pakistan

still temple
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okkkkkkkkkkkkkkk

still temple
worthy trellis
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From Pakistan?

lean flame
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You

worthy trellis
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Lol how so?

lean flame
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You real name is Hafeez

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From Labore

worthy trellis
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Lahore*

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And no lol

still temple
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ok

worthy trellis
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I am Indian

still temple
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noice

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bro

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deol

lean flame
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India lost today lol

still temple
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bro i am in 10th

still temple
lean flame
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Thanks to Dinesh Karthik

still temple
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yes

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hehe

worthy trellis
still temple
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6 runs 15 ball

still temple
lean flame
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Deol is your full name Yash Deol

still temple
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lol

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neeraj deol

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?

lean flame
worthy trellis
still temple
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euclid is nub'

worthy trellis
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Lmao close the channel if you’re done

still temple
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i need to read his algrothim everyday

still temple
marsh citrusBOT
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still temple
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ok

worthy trellis
still temple
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it is nice but boring

lean flame
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@worthy trellis are you married?

still temple
worthy trellis
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It’s not even in the cbse syllabus?

still temple
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?

still temple
worthy trellis
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It’s not

still temple
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ch-1 real numbers

marsh citrusBOT
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still temple
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1st question is that

marsh citrusBOT
lean flame
still temple
worthy trellis
still temple
lean flame
lean flame
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This is Ariana grande 💀

hidden plaza
still temple
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HUH

still temple
lean flame
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Pure is from India

still temple
lean flame
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Gujarat

worthy trellis
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Is there a reason this channel still open lmao?

still temple
still temple
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for a fuking math question

lean flame
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@hidden plaza

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Gujarat boy

still temple
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ok

lean flame
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How you feel India lost

still temple
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.close

marsh citrusBOT
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lean flame
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Bro

still temple
hidden plaza
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What r u in about

still temple
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but not sad

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hey pure

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how to get free nitro

lean flame
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Pure is from gujurat

still temple
lean flame
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Mera Naam mery hai

still temple
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ok

#

ladki

lean flame
marsh citrusBOT
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late valley
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Grade 9 maths but I need help here

marsh citrusBOT
late valley
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Need help here 🙋‍♂️

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.

marsh citrusBOT
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@late valley Has your question been resolved?

late valley
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.close

marsh citrusBOT
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late valley
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.reopen

marsh citrusBOT
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late valley
marsh citrusBOT
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late valley
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.close

marsh citrusBOT
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spring grove
marsh citrusBOT
spring grove
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This is not solvable 🥲

devout mauve
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Remember the discriminant

spring grove
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Yeah

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b^2-4ac>0

devout mauve
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And now you can go through a few cases. b can be 0 to 5 and then that gives you only a few options for a,c

spring grove
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But how can b be 0

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It's distinct natural numbers right

devout mauve
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If you don't count 0 as a natural number then it can be 1 to 5

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(I'm not saying that 1 actually works. Just that it is a case to consider)

spring grove
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Yeah right so if b is 1.. a and c will have to be 0 because b squared is greater than 4ac

devout mauve
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Yes

spring grove
devout mauve
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Yes

spring grove
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Perfect

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So the next case that can be considered is 3

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And for 3, a can be 1, 2 and even c so four pairs found

devout mauve
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Wait do you count 0 as a natural number or not

spring grove
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No i dont

devout mauve
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Ok

spring grove
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I think I have got the hang of it

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Thanks so much i was stuck on it since hours overthinking about zeros of polynomials and coefficients not thinking about discriminants

unreal wharf
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i wonder if this can be solved using generating functions

spring grove
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What's that?

unreal wharf
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it's a method of solving counting problems, i learned about from 3Blue1Brown video. I don't really know how they fully work so idk if they are really applicable here

marsh citrusBOT
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@spring grove Has your question been resolved?

marsh citrusBOT
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queen fox
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Hello, is drawing such a function realistically possible without using a utility?

queen fox
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Also can I have some tips for D please?

keen nova
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I dunno if drawing a function like that without a utility is super realistic
As for part D, remember that a graph has horizontal tangent lines where the derivative = 0
(Haven't worked it out, but judging from the x^3 and y^3, I think it means for you to use either the quadratic formula or factoring to find those 0s)

queen fox
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I have two variables in y’ 💀

keen nova
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?

queen fox
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Am I suppose to solve for x

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And then for y ?

keen nova
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sorry I had a brainfart

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So since y' is a fraction, you'd only need to solve the numerator for 0

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(although do keep in mind where the denominator = 0, as those points would be undefined)

queen fox
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Hmm ok

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.close

marsh citrusBOT
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queen fox
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Ty

marsh citrusBOT
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amber turret
marsh citrusBOT
deft nova
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Hello, i need help with this problem "One day 12 746 people visited an amusement park, on average a person spent 300kr with standard deviation of 60kr, how many people spent less than 200kr that day?".

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I cant solve it, the only thing i came to was 318, which is wrong

amber turret
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.close

marsh citrusBOT
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short wadi
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Can someone explain to me that if Aω are constants, why don’t they fall away when we take the derivative?

bitter dawn
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Because we multiply and not add

short wadi
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Oh of course. If there’s an addition of a constant then it falls away?

bitter dawn
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Yes

short wadi
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Clear thanks

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marsh citrusBOT
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rough ocean
#

How do I do part e?

marsh citrusBOT
still temple
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write out $\begin{pmatrix}1&1\0&1\end{pmatrix}\begin{pmatrix}a&b\c&d\end{pmatrix}$

elfin berryBOT
still temple
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then write it out for the other way round, then equate

rough ocean
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equate how?

still temple
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compare each entry

rough ocean
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so would that just be {(a+c, c) , (b+d, d)}

still temple
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no, thats not how matrix multiplication works

rough ocean
elfin berryBOT
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classic truedough

rough ocean
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just this?

still temple
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yes

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now do it for the other way, then compare each entry of the matrices

rough ocean
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$\begin{pmatrix}a&a+b\c&c+d\end{pmatrix}$

elfin berryBOT
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classic truedough

still temple
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yup

rough ocean
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all of these columns look linearly independent

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what does the c in the bottom lest being the same mean

still temple
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if you equate the bottom left, then c=c which doesnt tell us much

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try equating the other entries

rough ocean
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making the matrix $\begin{pmatrix}a&b\0&a\end{pmatrix}$ ?

elfin berryBOT
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classic truedough

still temple
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yup, thats correct

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now find a basis (of two matrices) that generates all matrices of that form

rough ocean
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so would that just be {(a, 0) , (b, a)}

still temple
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no

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its a matrix subspace

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so the generators should be matrices

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they also shouldn't have variables in them

rough ocean
elfin berryBOT
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classic truedough

still temple
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not quite

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that would generate $\begin{pmatrix}a&b\0&b\end{pmatrix}$

elfin berryBOT
rough ocean
still temple
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its the same process as finding a basis of vectors in linear algebra

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$\begin{pmatrix}a&b\0&a\end{pmatrix}=\begin{pmatrix}a&0\0&a\end{pmatrix}+\begin{pmatrix}0&b\0&0\end{pmatrix}=a\begin{pmatrix}1&0\0&1\end{pmatrix}+b\begin{pmatrix}0&1\0&0\end{pmatrix}$

elfin berryBOT
marsh citrusBOT
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@rough ocean Has your question been resolved?

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ripe kite
marsh citrusBOT
lean flame
#

Whenever the graph is below x axis

marsh citrusBOT
#

@ripe kite Has your question been resolved?

ripe kite
#

which of the choices would that be

dusky wing
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Visva, you can figure that out by looking at where the graph is below the x-axis

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Here's some help

ripe kite
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oh so when x doesnt equal 4

dusky wing
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No, notice it's positive when x is 0 too

ripe kite
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yeah

dusky wing
#

Do you understand intervals

ripe kite
#

nope 😦

dusky wing
#

If we projected that onto the x axis this is what we have

ripe kite
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oh so its b

dusky wing
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Yes

ripe kite
#

what if the qeustion asks for range

dusky wing
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Does it make sense how to arrive at that answer?

ripe kite
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yeah

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ty

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🙂

dusky wing
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If you want to know the range, you project every value onto the y-axis

ripe kite
#

okeyyy 🙂

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ty sir

dusky wing
#

👍

marsh citrusBOT
#

@ripe kite Has your question been resolved?

marsh citrusBOT
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wise minnow
#

Can somebody please explain the second row? Thanks

wind wadi
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with the second row you mean "if zx then x = 0, ..."?

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or the 4th row where f(x,y) = 1?

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@wise minnow

wise minnow
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Wdym

wind wadi
#

do you mean the row where f(x,y) = 1?

wise minnow
wind wadi
#

So you have two 16-bit inputs x & y. The two 1's for zx & zy mean they get zeroed out, so x = y = 0 now. Then because nx & ny are set on they are inverted which means x = 1111... and y = 1111..., since the function f is also set to 1, you get the sum x+y = 11111...0 (the last bit will be 0 after completing the binary addition).

Lastly, since no=1, the result, which is 1111...0, is inverted -> 0000...1, so out = 1.

marsh citrusBOT
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@wise minnow Has your question been resolved?

marsh citrusBOT
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tight oak
#

i've narrowed this problem down to B and C.

marsh citrusBOT
thin bison
#

Well, you mean your answer is option b and c?

tight oak
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yeah, I eliminated A D and E

thin bison
#

AAA can also be used I guess so far

tight oak
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AAA isn't a postulate that exists sadly

thin bison
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Oh

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So c Is your answer

tight oak
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oh alright

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/solved

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how does this work

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?solved

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whatever

thin bison
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.close

tight oak
#

thank you btw

thin bison
tight oak
#

.close

marsh citrusBOT
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honest perch
marsh citrusBOT
honest perch
#

im unsure about the subtraction part for cos

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<@&286206848099549185>

dire beacon
#

are you sure cos B is -sqrt(119)/12?

honest perch
honest perch
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i used the pythagorean theorem to calculate the x

dire beacon
#

try to calculate again

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oh wait my bad, i thought the denominator is 13

honest perch
dire beacon
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ok all values for sin a, sin b, cos a, and cos b are correct

honest perch
#

k good

dire beacon
#

so cos(a+b) = cos a x cos b - sin a x sin b

honest perch
dire beacon
#

the cos(a+b) part is correct

honest perch
dire beacon
honest perch
dire beacon
#

it will be (-4 x sqrt(119) - 15)/60

dire beacon
honest perch
dire beacon
#

hmmm

dire beacon
# honest perch

i mean for the question it says "use radicals as needed, use integers or fractions for any numbers in the expression"

honest perch
#

i feel like the culprit is the 15

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like if there was no 15 then it would be easy

dire beacon
#

umm which 15?

honest perch
#

15/60

dire beacon
#

oh.. yea

honest perch
#

here's what i mean

dire beacon
#

well i think the square root 119 messes it up so the answer is "not as tidy"

honest perch
#

if there was just a radical in the numerator on one of the fractions... and a regular number in the other... then it would be easy as u would just do it like radical - number / 60

dire beacon
#

but yea u can't necessarily simplify -4 x sqrt(119) - 15

honest perch
dire beacon
#

slightly weird question tho

honest perch
#

bc ik for a fact that it won't accept that answer

marsh citrusBOT
#

@honest perch Has your question been resolved?

dire beacon
marsh citrusBOT
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sullen basin
#

Draw a figure of all possible complex numbers that satisfies the following rule:
$$
\begin{cases}
\mid z - 3 \mid < 1, \text{if Im}z > 0 \
\mid z + 1 \mid \le 5, \text{if Im}z \le 0 \

\end{cases}

$$

elfin berryBOT
#

-(𝕂eloτ)-

sullen basin
#

How would you go on about solving that question?

  • Would appreciate it if you anyone could share resources that explains similar complex situations for me to learn from because the course I am attending is shit.. no materials whatsoever besides a crappy website that demonstrates almost nothing besides basics
earnest siren
#

Do you know how to take the complex absolute value

earnest siren
#

Is mostly how I learned

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It’s not the best

sullen basin
#

$$
| z | = sqrt{a^{2} + b^{2}}
$$

earnest siren
#

So I suggest

elfin berryBOT
#

-(𝕂eloτ)-

earnest siren
#

Try out a few complex numbers

sullen basin
#

And i am aware that the absolute value = the distance from 0,0 to complex point

earnest siren
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And see if they satisfy the conditions

sullen basin
#

Oh..

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I was looking for the algebra way to solve this

earnest siren
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Ok

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It’s

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Says to draw a figure

sullen basin
#

So here is what I've done,

#

Writing from vim and pasting, brb

earnest siren
#

No problem

bright jay
sullen basin
#

ik, missed it and thought that it was too late to replace

#

Why was that pasted as one \

elfin berryBOT
#

-(𝕂eloτ)-
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

sullen basin
#

Still not working.. wtf

#

Will generate locally brb

earnest siren
#

Write it on Desmos

#

Might be easier

#

Then copy and paste the text hear

sullen basin
#

Easier in vim because I have snippets and whatnot

earnest siren
#

Ok

sullen basin
#

Alright that looks better

#

That's for first one only

earnest siren
#

So you could

#

Solve for a or b in terms of

#

The other

sullen basin
#

Forgot another step for the 9

sullen basin
earnest siren
#

For example

#

Like if a^2+b > 6

sullen basin
#

Is your profile picture black or is my discord tripping?

#

Only seeing your name

#

Huh, weird..

earnest siren
#

Did not mean to

#

Send that

#

It’s transparent

sullen basin
#

OH

earnest siren
#

Sorry

sullen basin
#

No worries 😉

earnest siren
#

Auto correct but weird lol

#

Basically

sullen basin
earnest siren
#

An example

#

You can then write

#

B as b>6-a^2

#

And then

#

You can graph that

sullen basin
#

We can already do something similar what I had sent earlier

#

It looks a little weird though

earnest siren
#

I know

#

You have to use the quadratic formula

sullen basin
#

Something like this:

earnest siren
#

Ya

sullen basin
#

Ignore the =

#

Should be =>

earnest siren
#

And then you

#

Can solve for b

#

Or not solve

#

But

#

Put it in the inequality

sullen basin
#

Just put in numbers?

earnest siren
#

Not like that

#

You can add 8

#

Flip the inequality

#

And multiple by -1

#

And take the square root

sullen basin
#

Lol messed up the a

earnest siren
#

Just about to say that

sullen basin
#

Should be like this

earnest siren
#

Yup

#

And you can do the same

#

For both equations

sullen basin
#

or without the brackets:

#

And the substitute I assume

#

To get the answer for a ?

earnest siren
#

Don’t substitute

#

For the second equation

#

You can do the same thing

#

And get b

sullen basin
#

Correct

earnest siren
#

And also

#

B is positive because

#

It said the imaginary value is greater then 0

#

So the sqrt on that side is *

#

Sqrt

sullen basin
#

Something like this?

earnest siren
#

One min

#

Sorry

sullen basin
#

Take your time

#

Also, the first one has bi +

earnest siren
#

I think you forgot a 1

sullen basin
#

second is -

#

Should be 24

earnest siren
#

Yup

sullen basin
earnest siren
#

So now you can graph these both

#

And see where they intersect

sullen basin
#

Would that work in desmos? Because geogebra tripped

earnest siren
#

Let me try

sullen basin
#

1st: b > \sqrt{a^{2} - 6a + 8}
2nd: b \ge \sqrt{-a^{2} - 2a + 24}

earnest siren
#

Can you put that in the

#

Text it thing

sullen basin
#

$$
b > \sqrt{a^{2} - 6a + 8}
$$

elfin berryBOT
#

-(𝕂eloτ)-

sullen basin
#

$$
b \ge \sqrt{-a^{2} - 2a + 24}
$$

elfin berryBOT
#

-(𝕂eloτ)-

earnest siren
#

It’s glitching out

#

For me

sullen basin
#

Which?

earnest siren
#

I’m pretty sure the algebra was wrong

#

For the first one

sullen basin
#

Most likely, wonder where

earnest siren
#

Wait

#

I did it again

#

And it graphed its normal I think

sullen basin
#

What had I missed?

earnest siren
#

I think the signs got flipped

sullen basin
#

Oh

earnest siren
#

One min

#

It’s on my computer

sullen basin
#

Take your time 🙂

earnest siren
#

This is what I did

#

And it seemed to graph it right

#

I switched the variables so

#

That it graphs it correctly

sullen basin
#

You got to type in all the steps for it to show the figure?

earnest siren
#

No

#

The steps are just there to show the algebra

sullen basin
#

Appreciate that bit! 🙂

#

Now the second one, right?

earnest siren
#

Yup

#

Also we can solve it with algebra to

sullen basin
#

I did that and sent the answer btw

#

This one:

earnest siren
#

Ok

#

I’ll graph it

sullen basin
#

Want latex?

earnest siren
#

Hopefully no glitches

#

Desmos?

sullen basin
#

Yep

#

For easier writing

earnest siren
sullen basin
#

Alright 👍

earnest siren
#

Ok

#

Its graphed correct I think

sullen basin
#

🙏

earnest siren
#

My computers a bit slow

sullen basin
sullen basin
earnest siren
#

Which one

sullen basin
#

Draw a figure of all possible complex numbers that satisfies the following rule:
$$
\begin{cases}
\mid z - 3 \mid < 1, \text{if Im}z > 0
\mid z + 1 \mid \le 5, \text{if Im}z \le 0 \

\end{cases}

$$

elfin berryBOT
#

-(𝕂eloτ)-

sullen basin
#

The above circle

#

That image is also butchered.. wtf

#

Going to send it local, brb

earnest siren
#

Also

sullen basin
earnest siren
#

I think

#

we could have just graphed it from the start

sullen basin
#

Oh, how?

earnest siren
#

well

#

sqrt((a-3)^2+b^2)

#

<1

#

I am pretty sure desmos can graph that

sullen basin
#

Hmm

#

Going to try

earnest siren
#

I think the work I did

#

and you did

#

Would be good for solving it algebraically

sullen basin
#

Idk what geogebra is eating but it ain't good..

earnest siren
#

Idk how geogebra works

sullen basin
#

no graph, even if true

earnest siren
#

my computer cant run it

sullen basin
#

It usually graphs things and has good functions but sometimes it's dumb

#

Oh

#

Hmm

#

Nothing

earnest siren
#

I think I graphed it wrong

sullen basin
earnest siren
#

Switch

#

the varibles

#

a and b are constants in desmos

sullen basin
#

Still nothing

earnest siren
#

change a to x

sullen basin
#

Oh

earnest siren
#

and b to y

sullen basin
#

That worked, wtf

#

Not respecting <1

earnest siren
#

nice

#

you can then add the condition

#

that y is greater the 0

sullen basin
#

Interesting enough switching a & b to x & y worked in geogebra too

#

Both are dumb.. lol

earnest siren
#

ya

#

i dont think

#

they like handling a and b as varibles

sullen basin
#

They are not recognizing anything past x and y as variables

#

That was geogebra with no extra steps

#

Line looks odd though

#

It's a butchered circle

earnest siren
#

I think

#

never mind

#

idk

sullen basin
#

Cannot get second function to work though

earnest siren
#

I think it 's working in desmos

sullen basin
#

Desmos is better

#

Interface sucks though

#

Mine was a newbie's graph 😂

#

Yeah that looks about right

#

So trail + error is the only approach here or is there a better way to get all the values?

earnest siren
#

I am pretty sure there is a better way

#

with algebra

sullen basin
#

Me too, but I wonder how it would look like

earnest siren
#

I think

#

aslo

#

are you sure its

#

the seconed one is

sullen basin
#

Yep, because the graph looks like the solution

earnest siren
#

|z+1|

#

is >= or <=

#

to 5

#

I think it changed

sullen basin
#

≤ 5

earnest siren
#

Ok

#

I think

#

what you can do for these questions

#

is because the imaginary value

#

never mind

sullen basin
#

I appreciate your help mate!

earnest siren
#

sorry

#

I could not do it with algebra

sullen basin
#

If someone with better algebra knowledge than me, please do help me solve the question algebraically

earnest siren
#

let me go search it up

sullen basin
earnest siren
#

repost the question

sullen basin
#

Where?

earnest siren
#

google

sullen basin
#

Oh

earnest siren
#

I think that

sullen basin
#

I tried wolframalpha with the complex variable and it said no step-by-step solutions available

earnest siren
#

I searched up

#

how to solve a system of iniqualitys

sullen basin
#

Will do it soon, brb

#

Fixing something

earnest siren
#

Ok I think I got it

#

@sullen basin

sullen basin
#

Do tell!

earnest siren
#

Ok

#

Well when we solved for b

#

we got two equations b>= something

#

and b<something

sullen basin
#

Correct

#

And b <

earnest siren
#

so we can sort of smoosh b in between

sullen basin
#

As in?

#

Did not get the smoosh part

earnest siren
#

something<b<=something

#

like that

#

or like

sullen basin
#

OH

earnest siren
#

something>b>=something

#

cause b how to be inbetween both the bounds

sullen basin
#

So it determines the shape of the geo, figure

#

Correct

earnest siren
#

and the something

#

can have a in it

sullen basin
#

AHA

#

That site is wonderful.. wonder why I never found it

earnest siren
#

also

#

if

#

you have like

#

x>2 and x>3

#

and you need to find the solutions

#

x>3

sullen basin
#

you just do 3 > x > 2 ?

earnest siren
#

would be it

#

no

sullen basin
#

Oh ok

earnest siren
#

cause the inquality

#

is the same way hear

#

hear

sullen basin
#

here*

#

Autocorrect sucks 🙃

earnest siren
#

I'll show it with a graph

#

its still processing

#

sorry

#

5 years later

#

the purble

#

is x>2

sullen basin
#

It's alright, don't be sorry

#

I am glad you are helping me out mate!

earnest siren
#

and then

#

if you have

#

x>-2 x<3

#

then you can write

sullen basin
#

Divide by two and you get the limit between the two

earnest siren
#

-2<x<3

sullen basin
#

I know that algebra 😉

earnest siren
#

lol

sullen basin
#

I know, just saw the x > -2x

#

I guess my eyes are shit

#

Lol

earnest siren
#

so bascially if they are

#

the same way

#

then just pick the one

#

that contains both directions

sullen basin
#

Will keep that in mind!

earnest siren
#

and if they are different ones

#

then smoosh the value inbetween

sullen basin
#

Will keep that in mind, thanks for the help mate! 🙂

#

.closed

earnest siren
#

bit messy

#

but hears

sullen basin
#

At least we got somewhere

earnest siren
#

the graphed

#

also its

#

.close

sullen basin
#

AHA

earnest siren
#

not closed

sullen basin
#

Once again, thanks for the help mate! 🙂

#

Hope you have a good day! @earnest siren

earnest siren
#

thanks

sullen basin
#

.close

marsh citrusBOT
#
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#
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Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
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marsh citrusBOT
raven loom
#

uhmmm

#

quick quiz

#

from the table, do you know what is the value of f^-1(1)

#

do you know how to differentate f^-1 thonk

#

yeah, what you get is sort of like this, right?

elfin berryBOT
#

3_n
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

raven loom
#

so now you basically know whats in the brackets

#

it's just evaluating f^-1's derivative

#

are you trying to say this thonk_spinny

#

because i doubt so

#

yes

#

well this is how i understand chain rule (but kind of cursed and idk if its mathematically right to write it this way)

#

XD but it's kind of cursed (physics student kekw )

#

anyways it's just the df^-1/dx bothering you right

#

thonk_spinny so do you want the formula to be thrown to you or you want some sort of explanation?

#

lolll kk

#

so we know that f(f^-1(x))=x right?

#

do implicit differentation wrt x

#

ohhhh uhm

#

it's just taking derivative of both sides of the equation at its core

#

uhmmm this is misleading

#

use the cursed way

#

we know the first derivative: it's f'(f^-1(x))

#

divide both sides by that and viola

#

im not familiar with function notations as i mostly use d/dx, but i think they're the same?

#

I just finished my exam on this chapter in my math course XD

#

from what we have i think we can sub everything in? thonk_spinny

#

if im correct

#

nonoon f^-1 is not 1/f sad

#

if it's confusing you, use something like g

#

are you sure thonkEyes

#

but he is saying f^-1'(y)

#

not f^-1'(x)

#

yes

#

since f'(3)=-4

#

so 1/f'(3) = -1/4?

#

and the whole thing is 1/3 * -1/4

#

soooo -1/12?

raven loom
#

it'd be funny if i am wrong

#

-0.083 is 2sf/3dp?

#

I forget all the roundings XD

#

btw rmbr to close when you're done with channel XD

marsh citrusBOT
#
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marsh citrusBOT
#
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Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
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teal arch
#

the circles represent certain characterstics

#

where circles intersect, the people have the characteristics of the intersecting circles

whole umbra
#

i get venn diagrams but for euler diagrams

#

and predicates

#

i am lost

spark berry
#

Like look at D

#

You can see that it is a part of the diagram, but it only intersects C and B

#

So that means some elements or characteristics are not included at D

whole umbra
#

so A B C

#

are all intersect together

#

D only intersect C & b

#

but how would you make a formula

spark berry
#

At 1st question (Farmers), two portions are included

whole umbra
#

1?

spark berry
#

The one that intersects A and C; and the other one that intersects A,B and C

whole umbra
#

ok i see

#

P(x) and R(x)

#

will be in the formula

#

A and C

#

A and C intersection is true right?

spark berry
#

The second is clearly false, No blonde farmer can't have blue eyes, it's at circle D and it doesn't even touch the intersection of A and B

whole umbra
spark berry
#

I mean isn't there a set notation for that?

#

A U B or something?

whole umbra
#

so P,Q,R,S

#

A is P

spark berry
#

BTW The last part is also false, since there is no intersection at A and D

whole umbra
#

include A C

#

and D

whole umbra
spark berry
#

Yeah, but it tries to relate statement A and B to be true to prove the last statement is true

#

Is this the thing you're talking about?

whole umbra
#

how did you interpret without creating formula?

spark berry
#

I mean, I just look at the thing?

#

Ǝ(P(x) ɅR(x))

spark berry
whole umbra
#

there exists P in x and

#

implies R in x?

spark berry
#

Oh my bad

whole umbra
#

what does that mean

#

there exists P in x and R in x?

spark berry
#

I don't really know since I never encountered these symbols, but I think there should be an Implied symbol at the last question

whole umbra
#

<@&286206848099549185> if anyone has really good knowledge in predicates i'd appreciate help

whole umbra
#

this was euler and not venn

#

so it might be different

#

i believe euler can have own seperate sets inside a set

marsh citrusBOT
#

@whole umbra Has your question been resolved?

whole umbra
#

.close

marsh citrusBOT
#
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#
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Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
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novel rune
#

Hey there

marsh citrusBOT
hidden plaza
#

hello

novel rune
#

What I have here is ABC being an isosceles triangle

#

with r the radius of the circle

#

I also have that L = AH + HC

#

and that L/r ratio is equal to:

#

I need to find the measurement of the alpha angle

marsh citrusBOT
#

@novel rune Has your question been resolved?

novel rune
#

<@&286206848099549185>

novel rune
#

I couldn't think of anything though

#

Because I always end up in loops

marsh citrusBOT
#

@novel rune Has your question been resolved?

#
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novel rune
#

.reopen

marsh citrusBOT
#

marsh citrusBOT
#

@novel rune Has your question been resolved?

marsh citrusBOT
#

@novel rune Has your question been resolved?

marsh citrusBOT
#

@novel rune Has your question been resolved?

novel rune
#

Not yet

sturdy hawk
#

lol

halcyon flicker
#

.close

marsh citrusBOT
#
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halcyon flicker
#

Due to inactiveness.

marsh citrusBOT
#
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rustic leaf
#

How is infinity/infinity the same as (1/infinity) / (1/infinity)? I am forgetting a fundamental concept here

rustic leaf
#

In the context of L'Hopital's rule

main idol
#

What you're saying sounds like just algebra

rustic leaf
rustic leaf
rustic leaf
#

thank you

#

.close

marsh citrusBOT
#
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worn lake
marsh citrusBOT
worn lake
#

maybe do something like (-3/8)^2 + cos^2x=1?

#

but im not quite sure what to do after

#

ping me if someone responds

still creek
#

sin(2x)=2sin(x)cos(x)

#

cos(2x)=cos^2(x)-sin^2(x)

#

pick your poison

clever wharf
#

yeah calculate cosx first using sin^2x+cos^2x=1, then use sin(a+b), cos(a+b), tan(a+b) formulas

marsh citrusBOT
#

@worn lake Has your question been resolved?

covert dome
#

I just need my answer checked please

marsh citrusBOT
#
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marsh citrusBOT
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thick depot
#

how can i find the devirative of ((\root(3)(6x-4))) by using the definition

ruby fog
#

$((\root(3)(6x-4)))$

elfin berryBOT
#

HumanBot
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

still creek
#

power rule+chain rule

#

$\sqrt[3]{6x-4}$

thick depot
#

lenme take a pic

elfin berryBOT
#

SlowBrosRUs

thick depot
#

how should i deal with the cube root

marsh citrusBOT
#

@thick depot Has your question been resolved?

potent sentinel
thick depot
#

ok

#

what's next ?

potent sentinel
#

and derivate of x^n is n.x^n-1

marsh citrusBOT
#

@thick depot Has your question been resolved?

thick depot
#

wait no

#

the definition...

marsh citrusBOT
#

@thick depot Has your question been resolved?

bright crystal
#

I think you can use $(a-b)*(a^2+ab+b^2) =a^3-b^3$

elfin berryBOT
#

asuasu

thick depot
#

oh ye let me take a look

#

thank so much

#

.close

marsh citrusBOT
#
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supple spindle
marsh citrusBOT
supple spindle
#

how do I even find the solution?

ripe otter
#

You know that tanx is sinx/cosx

stoic saddle
#

you don't actually need to

#

you have four numbers and you are asked to say how many of THEM are solutions

ripe otter
#

Every value that doesnt make Cosx = 0 (Since dividing by 0 is bad)

stoic saddle
#

you can accomplish this by simply pluging each one in

#

and checking

#

and then reporting how many successes you get

#

@supple spindle

marsh citrusBOT
#

@supple spindle Has your question been resolved?

supple spindle
#

@stoic saddle SORRY I LITERALLY FELL ASLEEP

#

ok yeah that makes sense

#

sorry lmao

#

and thanks

#

.close

marsh citrusBOT
#
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marsh citrusBOT
#
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fossil grail
#

AC=CB
S(AC) - symmetrical bisector
Why does angle CO1Q=angle CAB

fossil grail
#

I think they might be similar triangles, since CQ=1/2 AC

#

CQO1=90 degrees

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but so far there's a side, and an angle that are proportional and equal

still temple
#

what's that CO1 line?

fossil grail
#

height

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but I solved it

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AOC ~ O1QC

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angle ACD is common

#

.close

marsh citrusBOT
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#
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native gust
#

how do i do this

marsh citrusBOT
#

@native gust Has your question been resolved?

marsh citrusBOT
#

@native gust Has your question been resolved?

marsh citrusBOT
#

@native gust Has your question been resolved?

marsh citrusBOT
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marsh citrusBOT
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hard stratus
#

how do i estimate square root 34 number

marsh citrusBOT
hard stratus
fallen galleon
#

eh

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look for the closest square numbers

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before

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and after

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34

hard stratus
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only ones that can be multiplied the same?

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25 and 49?

hard stratus
#

?

fallen galleon
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closest sq numbers

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25 and 36

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so

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uk rt 34 is between 5 and 6

hard stratus
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and 5 and 6 is the answer right

fallen galleon
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no

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it’s not 5 and 6

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it’s between 5 and 6

hard stratus
#

?

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ok i’ll write it’s between 5 and 6

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ya?

#

?

fallen galleon
#

ye depending on what ur cher wants

hard stratus
#

ok but

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she said

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how do i do 3 square roots between 6 and 7

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?

fallen galleon
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?

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uh

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wdym

hard stratus
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i don’t understand

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wait

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i think i see it on the mult chart

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9x4 and the numbers beside it

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nvm

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help

main idol
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do you have any examples?