#help-33

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rare pollen
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/ 72?

storm fern
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yes

rare pollen
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72,755,45.06 ?

storm fern
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approximately that would be the right amount

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does the question demand you to find it in integer?

rare pollen
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dollar amount

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rounded 2 decimal places

storm fern
rare pollen
#

75 545.0359

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what my raw calculation go

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t

storm fern
rare pollen
#

how tf did i say 72

storm fern
#

so the rounded 2 decimals would be 04

rare pollen
#

75,545,04

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yeah

storm fern
#

you got itthumbsupanimegirl

rare pollen
#

sadly it was not correct

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wtf

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wait

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i mistyped

storm fern
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it's actually quite related to geometric sequences

rare pollen
#

yeah still incorrect

rare pollen
#

i do not know about geometric sequences

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haha

storm fern
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ahh

rare pollen
#

but yeah it said the answer is incorrect

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75,545.04

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is what i put in

storm fern
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try putting in 03

rare pollen
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nope

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hmm

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im not sure if this answer would make sense looking at it normally

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how can a payment for a car be over the cars original amount?

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or is it 7,000 instead of 75,000

storm fern
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AHHH

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I FORGOT

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IT'S (1+0,0605)

rare pollen
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ahhh

storm fern
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it's 6.05% right

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so it's 6.05/100

rare pollen
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correct

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so

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44,300 (1 + 0.0605) ^ 6

storm fern
#

yes!

rare pollen
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/72

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875.256343

storm fern
rare pollen
#

875.26

storm fern
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correct

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sorry for the slight mistakebleakkekw

rare pollen
#

still wrong.

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wtf.

rare pollen
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did i not round correctly

storm fern
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you did

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try 25

rare pollen
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still incorrect

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hm

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it is 6.05

storm fern
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uhuh

rare pollen
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hm

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now im even more confused

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that seemedl ike it shouldve worked

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/12 maybe?

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for monthly

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instead of 72

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nah that wasnt right either

storm fern
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nahh

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the only clue are the apr and the 72 months annuity

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to put it in, $\frac {44,300 * (1+0.0605)^6}{72}$

rare pollen
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hm

elfin berryBOT
rare pollen
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yeah this is what we did

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figured it out

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728.59

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@storm fern

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did it a different way

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thanks for your help

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.close

marsh citrusBOT
#
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storm fern
#

ah ok

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sorry if i couldn't help you fully

marsh citrusBOT
#
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ember flame
marsh citrusBOT
ember flame
#

um

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im confused

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why is ans5 wrong

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it's asking for inv of matrix B right?

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why do i need a 3x1 matrix?

marsh citrusBOT
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@ember flame Has your question been resolved?

slim spire
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it's asking you to solve for x in Bx=y, where your answer will include a B^-1

ember flame
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Ohh

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I see lol

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πŸ‘πŸ‘πŸ‘

marsh citrusBOT
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sharp aurora
#

Could someone please help me with question 9? I'm stuck.

marsh citrusBOT
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fierce field
marsh citrusBOT
fierce field
#

But the four vertex theroem states that the curvature of an ellipse should be 0 at 4 points

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here its only 0 at 3 points

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yeah it repeats but i restricted t to be 0<t<2pi cuz thats how the ellipse is drawn

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so just kinda curious as to why. and if my understanding of the four vertex theroem is correct

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hang on

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"two local maxima of curvature, and two local minima of curvature"

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so i do have 4 points

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nevermind

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.close

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acoustic acorn
#

HOW TF DO I GRAPH this thingy

marsh citrusBOT
acoustic acorn
#

im trying to calculate it but its

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such a mess

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for u(x,1)

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its nice they give formula for integral of exp(-x^2)dx but The I(y) is exp(-y^2) and i can't pull it out cuz of the exp from before OR CAN I

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nvm i cant

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PLZ Hep

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plz hep <@&286206848099549185> i just want to know how to start

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sure i can set k=1, t=1

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but then integral is ??? to compute

marsh citrusBOT
#

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winter tinsel
#

I was sick during this unit and im tryna catch up on the work
I gotta know what the steps are to get those 2 answers

crystal lintel
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eh... <@&268886789983436800>

winter tinsel
#

is my username a problem

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mb

tawdry nymph
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huh

winter tinsel
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I cant set a nickname in here

tawdry nymph
#

uhh

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u can request something

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and ill do it

winter tinsel
#

Can you change it to just Gaylord?

tawdry nymph
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okay

winter tinsel
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thanks

crystal lintel
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i think i also misinterpreted it being something more offensive than it was

winter tinsel
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is this correct?

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if it is how do I get x from this

latent coral
#

yeah that's correct, tanx = 13/16, are you allowed a calculator on this?

quaint elm
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,tex .sohcahtoa

elfin berryBOT
#

hayley!

latent coral
winter tinsel
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can you simplify that a bit
i dont know what arctan means

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or what != means

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sorry

latent coral
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okay sorry, arctan is the same thing as tan^-1 or inverse tangent, some people call it arctan cause it's better to type out

winter tinsel
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ah

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thanks

latent coral
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!= isn't really official symbols (unless you're a programmer) but it's basically not equals

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so i was trying to say that based on your triangle, tan(x) = 13/16

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look at the soh cah toa diagram above if you don't understand why that's true

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so then to isolate for x, you'd apply the inverse operation of tangent to both sides, since arctan(tan(x)) = x

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they're inverses so they undo each other

latent coral
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so aplying arctan to both sides of tan(x) = 13/16 gives x = arctan(13/16)

latent coral
winter tinsel
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thank you

latent coral
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no problem

winter tinsel
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and it gives me this?

latent coral
#

correct

winter tinsel
#

thank you so much

latent coral
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and whatever your calculator gives you for that should be the right answer

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depending on what your teacher says, x could be in degrees or radians so that would affect the answer you'd want from your calculator

winter tinsel
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alright

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thank you

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how do I close the help thing

quaint hill
#

.close

marsh citrusBOT
#
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winter tinsel
#

thanks

marsh citrusBOT
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sharp mauve
marsh citrusBOT
sharp mauve
#

How am I supposed to proceed further

#

.rotate

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.close

marsh citrusBOT
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fallow furnace
#

Let $W=\left\langle(1,1,1,2)^T,(1,1,0,-1)^T,(3,1,1,1)^T\right\rangle$ be a subspace of $\mathbb{R}^4$ with the standard scalar product. Express the vector $v=(1,1,-2,0)^T$ as the sum $v=w+u$, where $w$ belongs to $W$ and $u$ belongs to its orthogonal complement $W^{\perp}$.

elfin berryBOT
#

Slowaq

fallow furnace
#

what am i doing wrong?

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where <w_1,u> is standart scalar multiplication

slim spire
#

what went wrong? the only thing that might be the issue is the scaling coefficients you put in front of the vectors

marsh citrusBOT
#

@fallow furnace Has your question been resolved?

fallow furnace
#

<@&286206848099549185>

slim spire
#

oh it seems like w1 and w3 aren't orthogonal so the formula doesn't work yet, you need to gram-schmidt or something to the subspace vectors first to make it orthonormal

fallow furnace
#

yes it works now thx

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sharp mauve
#

how did they do a and c?

marsh citrusBOT
sharp mauve
#

with b i get (-1)^n (3)^2n / (2n+1)!

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with c i got this:

upbeat sable
sharp mauve
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i know its supossed to be in that form

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but idk how to derive it algebraic

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ly

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@upbeat sable

upbeat sable
#

What does that mean?

sharp mauve
#

this is the answer

upbeat sable
#

Oh you don't know how to derive the expansion for ln(1+x)?

sharp mauve
#

but idk how they get x = 1/3

sharp mauve
upbeat sable
#

What is the expansion for ln(1+x)

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Write it in sigma notation

sharp mauve
#

(-1)^n+1 * x^n)/(n)

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@upbeat sable

upbeat sable
#

Right

sharp mauve
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im on a time limit tho

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could you explain what steps they took rq

upbeat sable
#

Are you in a test rn?

sharp mauve
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no i got a test tommorow

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see

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its just lecture slide

elfin berryBOT
#

smidgin

sharp mauve
#

...

upbeat sable
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Right

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Put x=1/3

sharp mauve
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there isnt a x

upbeat sable
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And you get that same thing

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...

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There won't be after you put x=1/3

sharp mauve
#

did they multiply the equation with 1/3^n?

upbeat sable
#

No

elfin berryBOT
#

smidgin

sharp mauve
#

im lost man

upbeat sable
#

I don't understand why

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I have basically given you the solution

sharp mauve
#

I got it in this form

elfin berryBOT
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smidgin

sharp mauve
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How could i know x would be 1/3 tho

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Oooh

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Ahhhh

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I get it now

elfin berryBOT
#

smidgin

sharp mauve
#

you just compare the sigma notations with each other

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right

upbeat sable
#

Yes

marsh citrusBOT
#
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sharp mauve
#

.reopen

marsh citrusBOT
#

βœ…

sharp mauve
#

@upbeat sable

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so how did they do c

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i get the (-1)^n in the denumartor

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@upbeat sable pls

upbeat sable
#

Write down the series for ln(1-x) and ln(1+x)

sharp mauve
#

is (-1)^n * s (-1)^n equal just 1?

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they maybe i got it

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then *

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i want to cancel out the (-1)^n it seems in the denumarotr

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i got 2^n in the form of sqrt2)^2n

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then doing the antiderivatve

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just the (-1)^n in the denum throws me off

elfin berryBOT
#

smidgin

sharp mauve
#

no

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arent you supossed to do the sigma of the arctan(x)??

upbeat sable
#

You will get your value for x

elfin berryBOT
#

smidgin

upbeat sable
#

Now compare the sums

marsh citrusBOT
#

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marsh citrusBOT
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tall sun
marsh citrusBOT
tall sun
#

math says yes,, internet to check says nothing

#

thoughts?

paper relic
#

0.03407811

marsh citrusBOT
#

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vale ruin
#

Why is sin2theta = positive and negative 1/2, instead of just positive 1/2?

vale ruin
#

Im supposed to be finding the points of intersection

worn plank
#

to be honest idk

marsh citrusBOT
#

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marsh citrusBOT
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@vale ruin Has your question been resolved?

marsh citrusBOT
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@vale ruin Has your question been resolved?

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lapis knoll
#

Anyone can find the idea how to solve this? Been stuck

marsh citrusBOT
#

@lapis knoll Has your question been resolved?

lapis knoll
#

<@&286206848099549185>

cunning fiber
elfin berryBOT
#

Civil Service Pigeon

cunning fiber
#

then telescope w/ partial fractions

lapis knoll
#

I use that formula

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But I can't telescope it

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Wait, when to use partisl fractions?

cunning fiber
elfin berryBOT
#

Civil Service Pigeon

cunning fiber
lapis knoll
#

Ooo I see, thanks man!

#

.close

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digital zodiac
#

Can anyone tell me what am I supposed to do here?
O

digital zodiac
#

I'm guessing I have to use the Gaussian-Jordan matrix to solve this but yeah I really don't have an idea how to start (Subject is Linear Algebra)

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jagged bay
#

I was tasked with proving that for three non-negative real numbers x, y and z, the following is true:
xy/z + xz/y + yz/x >= x+y+z.
I want to know if my proof, which follows, is correct. And if there's something I should improve.

xy/z + xz/y + yz/x >= x+y+z
<-> (xy)^2 + (xz)^2 + (yz)^2 >= xyz(x+y+z)
<-> (xy)^2 + (xz)^2 + (yz)^2 >= (x^2)yz + (y^2)xz + (z^2)xy
Let a=xy, b=xz and c=yz.
a^2 + b^2 + c^2 >= ab + ac + bc
(should I make it more clear why the above is true, specifically for the right side??)
<-> a^2 - ab + b^2 - bc + c^2 - ac >= 0
<-> ((a-b)^2 + (b-c)^2 + (a-c)^2)/2 >= 0
(should I make it more clear why the above is true??)
<-> (a-b)^2 + (b-c)^2 + (a-c)^2 >= 0
zenith knoll
#

yeh i think you should mention when you multiplied both sides by 2

#

but its true πŸ‘

jagged bay
#
((a-b)^2 + (b-c)^2 + (a-c)^2)/2 >= 0
<-> (a-b)^2 + (b-c)^2 + (a-c)^2 >= 0

is imo very easy to understand

#

but

a^2 - ab + b^2 - bc + c^2 - ac >= 0
<-> ((a-b)^2 + (b-c)^2 + (a-c)^2)/2 >= 0

is a lot less obvious

#

should I explain more for the latter?

zenith knoll
#

mhm not really

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if its a teacher who is reading this

#

it doesnt really matter

#

she/he should understand

jagged bay
#

the presentation is being graded

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like how well it's written

#

So it should be easy to understand

marsh citrusBOT
#

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marsh citrusBOT
#

@jagged bay Has your question been resolved?

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limpid bison
marsh citrusBOT
limpid bison
#

I forgot how to do B

#

Like i got ebverything

#

except the angle ABD

#

halppp

lone hare
#

angle sum of triangle is 180 degrees, does that help?

marsh citrusBOT
#

@limpid bison Has your question been resolved?

limpid bison
#

all i know is that it is icosseles

#

But i rly need the angle ABD

lone hare
#

you found ACB right

#

then you can get DCB, and since the triangle DCB is isosceles you can get ABD

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#
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limpid bison
#

idk how im meant to get ACB

#

also can you ping me if u dont mind xd

#

if u respond

marsh citrusBOT
#
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lone hare
limpid bison
#

hahahaha

#

its fine i thought it too

lone hare
#

what is the bot doing

limpid bison
#

idk bro

lone hare
#

I think you’re supposed to make that assumption because nothing else works

marsh citrusBOT
#

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midnight estuary
marsh citrusBOT
static quarry
midnight estuary
#

Is it possible to solve this without multivariate optimization?

proud ice
#

f is increasing radially, so the maximum value must be at the boundary somewhere

midnight estuary
#

hmm maybe the intersection point?

proud ice
#

Not a guarantee

#

Maybe, but not certain

midnight estuary
#

Because that's farthest from centre

proud ice
#

the parabolic curve is what makes it uncertain

#

But with straight lines, yeah you can do just the intersection points

midnight estuary
#

Alright

marsh citrusBOT
#

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high bison
marsh citrusBOT
high bison
#

Please someone help

#

I got 76

#

360-256

#

180-104

rigid veldt
#

ure correct

high bison
#

The website tells me im wrong

rigid veldt
#

wait which website

high bison
#

ive just realised i had to put the 0 before it

high bison
rigid veldt
#

is it right now

high bison
#

ye lol

#

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broken flare
#

Hello! How are you? Could someone help me with this fraction multiplication? The answer should be 37/5 = 7.4, but instead, I get 74.

broken flare
left wadi
#

where this 10 came from?

#

you hade 43/30 before and now you wrote 43/10/30 from nowhere

#

ok i see

#

its 4,3/30

#

i dont see the problem

#

maybe your initial formula is wrong?

#

for h

#

in calculator its also 74

broken flare
#

Yeah, right?

#

There is the formula

left wadi
#

its 74 then

broken flare
#

.close

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vivid pier
#

guys can you help me what is this

marsh citrusBOT
verbal ibex
vivid pier
#

yea

verbal ibex
#

yea that’s what it is

vivid pier
#

yea but i dont understand where the answer got like the big numbers

verbal ibex
#

as in the 8/3?

vivid pier
#

might be

verbal ibex
#

wym might be it’s a yes or no

vivid pier
#

like the 2 and 1 what is that for

verbal ibex
#

they’re whole numbers

#

You add them to the fraction by multiplying the denominator (bottom number) by the whole number then adding it to the numerator (top number)

#

Eg if you have 1 and 2/5 you’d do 5x1+2 to get 7/5

verbal ibex
#

yea

#

so all good now?

vivid pier
#

alr thanks

vivid pier
marsh citrusBOT
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fossil adder
#

For some reason that answer is wrong? is my input syntax invalid?

runic temple
#

s(0)

fossil adder
#

why?

runic temple
#

they gove you a value for s(0)

fossil adder
#

so sub and find C ?

runic temple
#

yes

fossil adder
#

ah ok

nova tree
fossil adder
#

anti deriviate of velocity gives displacement

#

oh wait

#

you mean the wording

nova tree
#

mhm

fossil adder
#

idk thats how they teach it at unsw

#

weird

nova tree
#

weirdddd

fossil adder
#

thank you btw!!

#

.clsoe

#

.close

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nova tree
#

It’s like instead of saying plus saying anti minus lol

fossil adder
#

haha

#

true

#

its ok tho

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slim mist
#

can anyone help me in my stats homework? kinda confused with the question

slim mist
#

Express the probability distribution of the random variable of the sum of the outcomes on rolling two dices.The sample space of the discrete random variable for the sum of the outcomes on rolling two dice is 6. (just incase my handwriting can’t be read)

opal parcel
#

basically you just have to calculate the probability of each sum possible

#

like firstly, the sum is 2

#

this only happens when the first dice rolls 1 and the second dice rolls so individually its 1/6 and 1/6

#

and together it is 1/36

slim mist
#

wait, I made a table. can you check if its right?

opal parcel
#

sure

slim mist
#

am i horribly far from the right answer

opal parcel
#

yes

#

this is not what the problem is asking you to do at all

#

the table will look something like this :

opal parcel
#

$\text{Let X represent the sum while P represents probability} \newline X = 2 \newline P = \frac{1}{36}$

elfin berryBOT
#

Barbie

opal parcel
#

and the table will move in this order

slim mist
#

so theres 36 outcomes right? since theres 2 dices

opal parcel
#

no

#

the possible outcome is 1 in 36

slim mist
#

ohh

opal parcel
#

what grade are you in?

slim mist
#

11th

opal parcel
#

i see

opal parcel
slim mist
#

ill try

#

okay im having a slightly hard time

opal parcel
#

think about it

#

it's easy

slim mist
#

do i make two tables?

marsh citrusBOT
#

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#

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fringe flame
marsh citrusBOT
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@fringe flame Has your question been resolved?

fringe flame
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<@&286206848099549185>

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manic basin
#

Book says solution is 1/3, am i not seeing something or did they accidentally use the limit of x approaches 0 instead of infinity?

manic basin
#

Because sinx/x; x->inf goes to zero, but it just seems highly likel they used the wrong limit

#

Idk tho

normal warren
manic basin
#

No, theres a method without these

normal warren
#

ah sorry then I can only think of those 2

manic basin
#

Even here sinx/x as x goes to inf it says its 1

worn plank
#

maybe there's a way using this limit honestly IDK

manic basin
#

Oh wait im stupid

manic basin
#

So its just lim x->0 sinx/x

worn plank
#

ok im helping you

manic basin
#

Yeah thx

#

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worn plank
#

you still have that 1/3 there

#

you can again use subtitution or the other limit

#

sin(ax)/x

#

whatever you want

manic basin
#

.close

#

.close

#

.reopen

marsh citrusBOT
#

βœ…

manic basin
#

.close

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mystic basin
#

I need help with proof by induction (screenshots following)

mystic basin
#

This is the homework i have to do with some hints

#

As of right now i have proven the base case for both formulas and started with the inductive step but tbh i dont really know how to continue here

marsh citrusBOT
#

@mystic basin Has your question been resolved?

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#

@mystic basin Has your question been resolved?

marsh citrusBOT
#

@mystic basin Has your question been resolved?

mystic basin
#

ive started over again and got this for the inductive step right now but i dont know how to continue

#

(ive proven the base case already)

#

can any <@&286206848099549185> help? :)

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#

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past shard
#

Does anyone mind explaining how the two equations after (2x)(2y) are equivalent to each other?

elder glacier
past shard
#

How did you figure they are equal to each other?

elder glacier
past shard
#

No. I am asking about the same equation; I just can't figure out how 4x(√1 - x^2/4) equals 2x(√4 - x^2)

#

@elder glacier

elder glacier
#

which is gonna be half outside the root

past shard
elder glacier
#

inside the root

#

hold on]

#

ill show you what i mean

#

is that what you were havin trouble with?

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#

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swift lion
#

I have a trigonometry question. I have the answer of 14.36, although my exam is asking to write the sum of how I got that answer. They have given the formula of 1.08/14x3240/2 but nothing else..

still temple
#

is this an exam?

swift lion
#

i have finished the exam

#

but this question is a bonus one for us to try

#

and i can’t figure it out

pseudo jackal
swift lion
dim schooner
#

,rotate

elfin berryBOT
swift lion
#

Question number 1.35

dim schooner
#

sorry i forgot how to calculate sounds, like all of it

#

i just wanted to help everyone by using the bot to turn the picture

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#

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ruby axle
#

Hi there

marsh citrusBOT
#

Please don't occupy multiple help channels.

vagrant gull
#

bro use one channel

marsh citrusBOT
#

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mossy widget
marsh citrusBOT
mossy widget
#

surely y can be anything no???

#

not just 0

#

this is the question we r doing f(z)

#

.close

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still temple
#
  1. isn't 5! 125
#

oh wait

#

so you can actually effectively simplify it to G1, G2, G3, G4, G5 and B1, B2, B3, B4, B5, right?

#

however G1 can't sit in B1...

#

so G1 must sit in B2, B3, B4, or B5, so that's 4, then, if she sits in B2, G2 has 4 choices, but if she sits anywhere else, G2 has 3 choices

#

so your current number of choices is 4+3*3 = 13 for the first 2 girls

#

now repeat this for the next 3

#

yeah

#

but we're simplifying the problem and renaming the girls and chairs

#

G3 -> G1, G4 -> G2... and B1 -> B1, B4 -> B2...

marsh citrusBOT
#

@still temple Has your question been resolved?

still temple
#

<@&286206848099549185>

lethal eagle
#

B1,B4,B5,B6,B7 are left for G3,G4,G5,G6,G7 so if G3 sits in B1 there is a perfect case for derangement so 9 possibilities , next for any other girl sitting on B1 , we get a number telling different combos which is same for all those 4 girls..... so lets take G4 occupying B1 then if G3 takes B4 then by derangement we get 2 combos but if not then assuming G3 taking one of B5,B6,B7 then by counting we get 3 for each selection so final answer is: A=9+4(2+3(3))=53

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halcyon current
#

can I get help for part c?

marsh citrusBOT
#

Please don't occupy multiple help channels.

sinful thistle
#

please close one of your channels

#

@halcyon current

halcyon current
#

how do I/

#

?

sinful thistle
#

.close

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sinful thistle
#

there

#

:D

halcyon current
#

thx

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velvet elk
#

A group of 6 boys and 3 girls wants to take a photograph. Find the number of
ways that the group members can be arranged in a row if the three girls sit next
to each other?
A. 3P3 x 7P7 C. 3P3 x 6P6
B. 3P3 x 7P7 x 2P2 D. 3P3 x 6P6 x 2P2

Not really sure but D?

marsh citrusBOT
#

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sleek lake
#

it's c

#

no okay

#

d

#

no

#

a

#

d would work if the boys had to stay together too

#

then you have 2 ways to arrange the groups, boys first or girls first

#

but there's 7 ways: 0 boys before girls, 1 boy, 2... 6 boys

#

so 3p3 Γ— 7 Γ— 6p6 = 3p3 Γ— 7p7

velvet elk
#

I already changed my mind with a earlier but thanks for confirming it

#

Cuz I was doubting too xd

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#
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stray nest
marsh citrusBOT
stray nest
#

How to proceed?

knotty frost
#

Hold on one moment. Let me contact my sir. @stark trail help us please.

stark trail
#

what is the trig function in the denominator? Sine?

#

I suggest you cancel the common factor of x^3 from the numerator and denominator

#

then recall that trig functions such as sine and cosine are bounded between -1 and 1

knotty frost
#

Hint: $\lim_{x\to 0} \frac{x}{\sin(x)} = 1$

elfin berryBOT
#

Ultimate Chad

stark trail
knotty frost
#

You get 3/infinity * 0

stark trail
#

there's a substitution that trivializes it

#

I will let my sir @knotty frost figure it out though

knotty frost
#

My thought was to cancel the x^3 then multiply by something to get 1/x/sin(1/x) and use that limit

stray nest
teal arch
#

can we do lim (1/x) tends to 0 if lim x tends to infinity? (just curious, i dont know it myself)

knotty frost
#

This is what I’m using

teal arch
stray nest
knotty frost
#

His hint was u = 1/x

marsh citrusBOT
#

@stray nest Has your question been resolved?

knotty frost
#

?

stray nest
knotty frost
#

Where r u getting stuck?

stray nest
knotty frost
#

@stark trail my friend here needs help

stray nest
#

I'm pretty sure it's wrong, ahsdhasdhas

#

But that's where I've arrived

knotty frost
#

Yes that’s good

#

Now multiply top and bottom by u

stray nest
stray nest
#

But I ended up with 3/u/1

knotty frost
#

You picked up a u somewhere

#

Ended up with an extra

stray nest
knotty frost
#

When you went from the first line to the second

stray nest
#

Got it

#

Finally got it

#

thank you so much!

#

Really helpful! Hope you have a nice day/night/whatever over there!

#

:)

#

.close

marsh citrusBOT
#
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knotty frost
#

πŸ‘u2

marsh citrusBOT
#
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crude mango
marsh citrusBOT
vagrant gull
#

is this test?

marsh citrusBOT
#

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copper lodge
#

how can i find the angle of an n sided shape

copper lodge
#

i forgot the formula

#

a regular shape

#

okay its 180(n-2)/n

#

.close

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surreal glade
#

What is the definition of a system of generators of a vector subspace?

marsh citrusBOT
#

@surreal glade Has your question been resolved?

surreal glade
#

<@&286206848099549185>

marsh citrusBOT
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still temple
#

If 10^2x = 25, then 10^-x is equal to?

marsh citrusBOT
#

Please don't occupy multiple help channels.

dusk coral
#

what have you tried?

stoic slate
#

Dont use multiple channels

#

You have another channel with the same question, stick to that one

next raft
#

let q=10^x

still temple
#

I'm gonna just give up πŸ™ƒ

#

Anyways, have a good day guys

marsh citrusBOT
#

@still temple Has your question been resolved?

lilac siren
#

I've shown you the steps before

#

(...)^1/2

#

then (...)^-1

#

and you get 10^-x = 1/sqrt(25)

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#

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modern lake
#

I need help

marsh citrusBOT
modern lake
#

<@&286206848099549185>

pliant tangle
#

AC and CB are equal so Angle ABC and angle CAB will be equal

modern lake
#

I need to rush to school in an hour can someone help me with these two questions?

pliant tangle
#

AOB is twice of ACB

#

Because subtended by chord AB at centre and circumference, respectively

pliant tangle
modern lake
#

So?

pliant tangle
#

Which makes all the angles in triangle ABC equal

#

Therefore Angle BAC is 60

modern lake
#

So what will be the BDC?

pliant tangle
#

Angle BDC + Angle BAC = 180 becuz cyclic quadri

modern lake
#

I'm getting late for school

#

Yeah question is asking me angle BDC

pliant tangle
#

It’s 180-60

modern lake
#

120 right?

#

So the answer is option A basically

pliant tangle
#

Yeah

modern lake
#

Can you solve this one also, please?

#

@pliant tangle hey, helper are u there?

spark siren
marsh citrusBOT
spark siren
#

you wont get solutions here.

modern lake
#

I'm getting late for school

#

Its just one question

#

He might help me

#

Okay someone please help me to reach conclusion

spark siren
#

youre cheating. that violates the rules of this server.

modern lake
#

.close

marsh citrusBOT
#
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marsh citrusBOT
#
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open kayak
#

Find all possible natural numbers with the following properties: \begin{enumerate} \item One of the digits is a 0 and all the other ones nonzero \item The last digit is 5 \item If we remove the zero-digit, then the number becomess 9 times smaller \end{enumerate}

open kayak
#

How do we approach this?

#

We had modulo before this, so maybe with that?

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#

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open kayak
#

.close

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still temple
#

Hello
I need someone to explain to me how to solve these problem as I have a slight confusion

pliant tangle
#

You have to find area of white region?

#

Or coloured

still temple
#

I have to find the area of the shaded region ( that’s the question )

#

So I’m assuming it’s the coloured ?

pliant tangle
#

Find the area of whole shape, and subtract the area of the white region from it

still temple
#

Just a question do we always subtract the small from the biggest or it can be the opposite ?

pliant tangle
#

Small from big

#

Can’t be done opposite

still temple
#

Alright it worked with me just one error in one of the questions

I did 240 minus 19.21 and it says wrong

#

Would you please tell me where I went wrong ?

pliant tangle
#

How did you get 19.21?

next raft
#

how did you get 240

still temple
still temple
next raft
pliant tangle
#

Find area of the big triangle

#

Or you could find the small triangle individually and add them

still temple
#

A = b x h x 0.5

Area equals to 15 times 12 times 0.5? Since we divide the 24 by 2?

pliant tangle
#

No need to divide it by 2

#

0.5 x base x height

#

For the blue triangle at top, base is 24 and height is 15

#

With same formula find the area of those two small triangle at the side

#

And then add all three

still temple
#

So it will be 25 plus 25 plus 180 equals to 230

240 minus 230?

pliant tangle
#

No need to minus

pliant tangle
#

230 is the total area of blue region

pliant tangle
still temple
#

Wait so then what is the next step ?

#

since we got the 230

#

Mb it’s just that I’m slightly confused

pliant tangle
still temple
#

It’s telling me it’s wrong answer

#

Maybe there is an error with the survey

This bring one last question

How did you know that you didn’t need to minus?

pliant tangle
#

Oh

#

Well try finding the area of the whole triangle itself, then subtract the area of rectangle from it

still temple
#

Alright man thank you a lot for you help really appreciate it
Have a good day ahead !

still temple
#

YESSSIR IT WORKED

marsh citrusBOT
#

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marsh citrusBOT
#
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visual crag
marsh citrusBOT
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inner nexus
#

How do i prove this sss similarity theorem with statements and reasons?

inner nexus
still temple
#

well if u want a hint, XY and ST are parallel to each other

#

what can u say about the relation between angles RXY and RST?

inner nexus
still temple
#

they are angles

#

we are not considering lines

inner nexus
#

Ohh

#

Sorry my math teacher literally rushed our lesson

#

Grasping them was pretty pressuring so i didn't really get to understand the lesson much

still temple
#

thats ok

inner nexus
#

What can i do to prove them

still temple
#

well there are some steps and im trying to guide u towards that

still temple
inner nexus
#

I kind of proven to draw a line xy then replace the seg st

still temple
#

i dont understand what u mean by that soz

inner nexus
#

We're gonna try using corollary 60.1 to prove them

still temple
#

i dont know what corollary 60.1 is

inner nexus
#

Argh

#

We prove them like this way

still temple
#

Yes i know you are expected to do two column proofs

inner nexus
#

Rhhh

still temple
#

the construction of your triangle tells you that XY and ST are parallel, so knowing that, what can you say about the relationship between angles RSY and RST?

#

Are they equal for example?

inner nexus
still temple
#

they are not meant to be

#

they are corresponding angles so they are in fact equal

still temple
inner nexus
#

Apologies for the trouble there

still temple
#

its like 2 and 6 here

#

i think you call them transversals

#

well anyways

#

do you know AA theorem? @inner nexus

inner nexus
still temple
#

aight

#

sorry i dont know how to help you then. I would suggest studying some of those similarity theorems

#

SAS, SSS, AA, so on

#

you can use AA here at least

inner nexus
#

I see, thank you about that

marsh citrusBOT
#

@inner nexus Has your question been resolved?

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#
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#
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surreal linden
marsh citrusBOT
surreal linden
#

1 sec

#

if for example

#

AC and AB are tangents from point A to the circle

#

and AD is angle bisector.

#

can u say ED is a diameter?

#

as if two tangents from the same point are connected with a line from the center of the circle, the line is bisector to the angle between the two tangents.

#

and a diameter is a chord that passes through the center

iron meadow
#

yea it should be

surreal linden
#

can u say that " if a line connected to the point where two tangents to the circle meet, which bisects the angle between the tangents, the line comes from the center"?

surreal linden
iron meadow
# surreal linden yeah i thought so too

one easy argument you can make: you draw the 2 tangents, then connect the tangent points to the center of the circle (the tangent lines and radii of the circle make 90 degree anglex). now connect center of circle with the original point to the left. so you have 2 right triangles with two equal sides (1 is shared and the 2nd is both radii) so the triangles are congruent. so the angles at the left are congruent, so the line you drew from the center to the point bisects the angle

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#

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winter flicker
#

how do i get started with this

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#

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wispy robin
#

Hey, im making an investigation and need help modeling the parabolas of the macdonald's logo to get the area of the "m" in the red square, could somebody help me make the equations that form the "m", I have tried to model it with a system of equations and desmos but the parabola doesn't match. Please help!!!!

marsh citrusBOT
#

@wispy robin Has your question been resolved?

wispy robin
#

<@&286206848099549185>

twilit arrow
#

i am inclined to say that those aren't parabolas

slim spire
#

for real life archways the equation is cosh(x)

twilit arrow
#

you can approximate the shape with parabolas, but if you found a parabola that passes through 3 the other curve's points and it doesn't match, then the other curve is not a parabola

marsh citrusBOT
#

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main bough
marsh citrusBOT
main bough
#

one sec gonna post a solution

#

idk if its right or not

#

so is it concave down

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#

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earnest hound
#

for 1b, what am i doing wrong?

marsh citrusBOT
earnest hound
#

the answer's
-11
4
12

lone heart
#

Wait sorry I'm trying to find the mistake still

#

Right here actually, why did you flip all the signs on the right when you did R1 = -R1?

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#

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Available help channel!

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β€’ Ask your math question in a clear, concise manner.
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sick dawn
#

Someone pls help me with this

marsh citrusBOT
void elm
#

,rotate

elfin berryBOT
void elm
#

,rotate

elfin berryBOT
void elm
#

,rotate

elfin berryBOT
sick dawn
#

Am i heading in thw right direction?

#

@void elm doyk?

potent fog
sick dawn
#

My exam’s in like an hour and im in a bus could u help me

#

With working

#

@potent fog

potent fog
#

sure

#

you figured out we want to use 2theta to find the area of the unshaded region in the quadrilateral

#

so what are the areas of those two unshaded regions of the circles

sick dawn
#

Ye 2pi-thera

#

Then thetar^2/2

#

X2

#

Then add it with the shaded area in the middle

#

But how to find the middel one

#

On either side

#

Area pf rhombus-the sectors?

potent fog
sick dawn
#

I forgot area of rhombus form

potent fog
#

well

#

we dont need to find the area of the rhombus necessarily

#

we can see some triangles in the diagram you drew right?

sick dawn
#

Oh ye

#

We could do triangle

potent fog
#

right

sick dawn
#

I remember that thing i did

#

(Basexheight/2 - area of sector) x 4

#

Then add everything up

#

1:shaded

potent fog
potent fog
sick dawn
potent fog
#

shaded:area of the large circle
right

sick dawn
#

But since the shaded part is inside the circle wouldnt we take it as 1

#

I mean prwcious time i did take it as pir^2

sick dawn
#

But u feel like it should be 1

potent fog
#

is the area of the large circle pir^2?

#

how did you define r

sick dawn
#

oh sorry 2x squared

potent fog
#

right

sick dawn
#

Oh