#help-10

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obtuse pebbleBOT
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@hot wing Has your question been resolved?

obtuse pebbleBOT
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stuck herald
obtuse pebbleBOT
stuck herald
#

was this correct approach?

gilded drift
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couldn't both a^2 b^3 c and 1+a^3 b be negative

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Oh wait

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division

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Well technically if it was negative signs would be reversed

stuck herald
stuck herald
gilded drift
# stuck herald ?? what

Let me explain
if a^2 b^3 c and 1+a^3 b are both negative, then them multiplied would be positive

gilded drift
gilded drift
fossil night
#

This is where I get help?

gilded drift
#

You go to available help channels

obtuse pebbleBOT
#

@stuck herald Has your question been resolved?

stuck herald
#

i could have deduced there itself u meant to say??

gilded drift
gilded drift
#

well 1 + a^3 b < 0 cannot be true because rules but like it's there

stuck herald
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it can be negative no?

gilded drift
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but a<1 and b<1 therefor it cannot be <-1

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so like ur solution was correct

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although why did you cancel ur c

stuck herald
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1 + a^3 b this will be positive no allways as all -1<a,b,c <1

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they ratios

stuck herald
gilded drift
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c just disappeared

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you can cancel the a^2 since we know that

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but b^3 c > 0 can yield negative for b and c

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since we know b^2 is positve

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we can remove the b^2 in b^3 and get that bc>0

obtuse pebbleBOT
#

@stuck herald Has your question been resolved?

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stuck herald
obtuse pebbleBOT
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merry topaz
#

Consider a polynomial P(x) = 8(2x^3 - 9x²+12x-5)+ a. Consider a function g(a) which is defined as number of real roots of equation P^a(x) = 0 in the interval (0,1) where p^a (x) = P(P(P.........P(x)))) (for example, P³ (x) = P(P(P(x)))). a times

Then find the value summation a 1 to 4 g(a)

royal basin
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got a picture...?

merry topaz
royal basin
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the fact that a is involved both in the polynomial it-

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oh god the black bands.

merry topaz
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G1 is 0

latent walrus
royal basin
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ok so

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... fuck how the hell are you even supposed to do this without being a human calculator

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like

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for g(4)

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they expect you to... what, consider a fucking 81st degree polynomial?

merry topaz
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Use brain 🧠 isuppose

royal basin
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are you sure g(1) = 0 btw?

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i don't know what you meant by G1.

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but i assume you meant g(1) but typed it very badly.

merry topaz
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g(1)

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Yeah just put it

royal basin
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are you SURE g(1) really is 0

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when there is a root visible right there

merry topaz
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Ok

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Hmm

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What is g2 g3 g4

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Respectively

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Hlo?

royal basin
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sorry, did you just "Hello?" me for 30 seconds of absence?

merry topaz
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It always works

royal basin
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you realize it's very rude right

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and entitled

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for THIRTY GODDAMN SECONDS

merry topaz
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Ok let it be

royal basin
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idk take these screenshots and count them yourself

royal basin
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!volunteers

obtuse pebbleBOT
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Helpers are just people volunteering their time to help you. Be polite and patient.

royal basin
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it's disgusting how impatient you just behaved there

obtuse pebbleBOT
#

@merry topaz Has your question been resolved?

obtuse pebbleBOT
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timid silo
obtuse pebbleBOT
timid silo
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Ok so I am trying to find the ambient temperature of an oven(Ta)

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I found the expression

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But I could not figure out how to find Ta, given I have many unknown variables

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The conditions given were:
initial temperature of liquid = 25c

After 1 minute of oven temperature increased by 25C

After 2 minutes in oven temperature of liquid is 73C

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.close

obtuse pebbleBOT
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obtuse pebbleBOT
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fierce lagoon
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Okay what about it

worthy patio
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yo

fierce lagoon
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For the most part yeah

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This is undefined at 0

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This is defined at 0

worthy patio
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dang, am in 6 th grade we only learned plus and minus💀

fierce lagoon
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But that's like the only difference

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They're otherwise equivalent

wooden cipher
worthy patio
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guys what does x mean?

wooden cipher
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Is it below 13?

worthy patio
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????

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bro

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i said i can't say

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stop forcing me

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what does x mean?

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can u help me with my homework?

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please

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okay

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what is a 90 dagree angle?

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??

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dang

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90 degree angle

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ok, is that u?

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ur pfp?

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is that u?

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bye

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pls stop saying am young

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i said, stop saying what my age is

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its not cool

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i dont wanna say my age in discord

royal basin
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!redir

obtuse pebbleBOT
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This channel is only for on-topic discussion. Please take casual conversation to #discussion or #chill.

royal basin
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ah, rip them.

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@vocal marsh do you still have a question to ask?

obtuse pebbleBOT
#

@vocal marsh Has your question been resolved?

obtuse pebbleBOT
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split dew
#

Would f(0) here be equal to 2 here?

obtuse pebbleBOT
split dew
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And f(x) would be 1?

dark stirrup
dark stirrup
split dew
#

Thanks

#

.close

obtuse pebbleBOT
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still oxide
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does anyone know what this equation is about? I don't get how the partial of 2 terms on the left become 4 terms on the right

pseudo swift
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you have some product rule going on

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f_x x_s is a product of 2 functions

still oxide
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yea but i dont get why
∂/∂t of f_x * x_s = f_xt * x_s + f_x * x_st

pseudo swift
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$\pdv{}{t}\left( f_x x_s\right) = \left(\pdv{}{t}f_x\right)x_s + f_x\left(\pdv{}{t}x_s\right)$

warm shaleBOT
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aPlatypus

pseudo swift
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that's the product rule right?

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@still oxide

still oxide
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oh

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wait i didnt learnt that

pseudo swift
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I'm pretty sure you had calc 1 at some point

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it's the same thing here

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except with the partials

still oxide
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yea ok

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thanks

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.close

obtuse pebbleBOT
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uneven night
#

Determine all functions f (x, y) that solve the equation
for example with a variable change u = ax + y, v = x, for any suitable value of the number a

austere hound
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!status

obtuse pebbleBOT
#
What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
uneven night
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@austere hound

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<@&286206848099549185>

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Is my work correct

olive urchin
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Hi. Can anyone help me in choosing one of these four topics for my mathematics projects: 1)Mensuration: Applications and
illustrations from daily life situations, etc.
2)Applications of Arithmetic
Progression in daily life situations, etc.
3)E-commerce -Impact on World
economy -Discusswith-illustrationss, etc.

uneven night
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But g(3x)=x

olive urchin
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k

uneven night
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I just ignore the the x on the RHS

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Np

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So my work aren’t correct

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Homework

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So I integrated on both sides I got v=g(u)

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Then I changed u to 2x+y

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And plugged in f(x,x)

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So we got g(3x)=x

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What happens next

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What

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I don’t understand

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Plug what

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I already plugged in f(x,x) which gave me 3x

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But

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How did you got 4a+b

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What is a and what is b

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5?

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Wait where did c come from?

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So you can’t help me?

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Np

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Thanks anyway

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.close

obtuse pebbleBOT
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timid silo
obtuse pebbleBOT
#
What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
timid silo
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3

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And

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1

upper widget
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what did you do to get ur incorrect answer

timid silo
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Added parallel lines then time by 2

upper widget
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right

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so

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lets start from what we want

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the height

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we have

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right

timid silo
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4 and 6

upper widget
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yes

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so we end up with

timid silo
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10

upper widget
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right

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well its 10/2

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so its 5

timid silo
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Yes

upper widget
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whats A=?

timid silo
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Area

upper widget
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i mean the value

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whats the value

timid silo
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20cm2

upper widget
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so this right

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we want h on its own

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how do u think we can get h on its own

timid silo
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Divide by 5 on both sides?

upper widget
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yup

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so h =?

timid silo
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4

upper widget
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yeah

timid silo
#

Thank you!

#

.close

obtuse pebbleBOT
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burnt light
#

Why is the square root of 2 equal to the fourth root of four?

tardy epoch
#

,tex .exp rules

warm shaleBOT
#

riemann

cunning breach
#

$2^{\frac{1}{2}}=2^{\frac{2}{4}}$

warm shaleBOT
burnt light
#

.close

obtuse pebbleBOT
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indigo cipher
#

Is this derivative correct?

obtuse pebbleBOT
brazen gorge
#

,rccw

warm shaleBOT
obtuse pebbleBOT
#

@indigo cipher Has your question been resolved?

obtuse pebbleBOT
#

@indigo cipher Has your question been resolved?

obtuse pebbleBOT
#

@indigo cipher Has your question been resolved?

heavy thicket
obtuse pebbleBOT
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obtuse pebbleBOT
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short burrow
#

my math teacher gave this problem as a practice and i think x = 1 but that is only using the short leg and hypotenuse. When i try to double check with base leg i get stuck

austere hound
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30-60-90 triangles have this neat property that the hypotenuse is twice the length of the short leg

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And the long leg is short_leg*sqrt(3)

short burrow
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when i set the long leg equal to 3.5√3 it dosent work.

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there is no 0

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is the problem written wrong?

austere hound
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no the math looks good to me

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That might be the solution though

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that for no value of x is that triangle a 30 60 90 triangle

short burrow
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hmm makess sense

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i think your right.

austere hound
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Because the rules of geometry are pretty strict and sqrt(3)/2 * 1 + sqrt(75) != sqrt(3)*3.5

short burrow
#

yeah

austere hound
#

Your graphical solution work well as a proof too, showing there are no roots to the equation is proof

short burrow
#

thank you

#

.close

obtuse pebbleBOT
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tiny spire
#

Is anyone able to help me with this linear algebra problem. Question 22 please : )

austere hound
#

!status

obtuse pebbleBOT
#
What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
tiny spire
obtuse pebbleBOT
#

@tiny spire Has your question been resolved?

obtuse pebbleBOT
#

@tiny spire Has your question been resolved?

obtuse pebbleBOT
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mellow pelican
#

I do need some help with something

obtuse pebbleBOT
teal turret
#

pray tell

obtuse pebbleBOT
#

@mellow pelican Has your question been resolved?

mellow pelican
teal turret
#

what have u tried

mellow pelican
#

I understand how to do the first part but I am confused on how to do the second part

teal turret
#

plug in the point (0,1) into ur value of dy/dx

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then use point slope form to make a linear equation

mellow pelican
#

wait both values

teal turret
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what dy/dx did u get

mellow pelican
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I got

teal turret
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ok now plug in ur values of x and y into that to find the slope at that point

mellow pelican
#

Ok

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Ok I pluged in the values the slope to equal - 1 - e

teal turret
#

ok now

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u know point slope form of linear eqns?

mellow pelican
#

Ok so then: y-1=(-1-e)

teal turret
#

what happened to the x part

mellow pelican
#

Oh wait

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y - 1 = (- 1 - e)x

#

Ok thank you

obtuse pebbleBOT
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drifting wraith
#

hint from google

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well it means 10^4

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9999 is divisible by 101

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i don't get it though

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oh okay

#

@fierce ocean

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remember the rule for divisibility by 3, especially why it's like that

obtuse pebbleBOT
#

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pliant cipher
#

hello i need help with relative rate

obtuse pebbleBOT
pliant cipher
#

i simplified the equation for it to be like

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6(dc/dt) = 320sin(theta)

#

.close

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sterile vale
#

"determine the new equation after the following transformations."

8x^2 +y^2 =2
a horizontal expansion by a factor of 2, then a vertical compression by a factor of 1/3

sterile vale
#

here is what I'm doing

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1/2(8x^2) + y^2 =2

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then 4x^2 + 1/3(y^2) =2

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and in the end I get 4x^2 + y^3 =6

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but the answer is 2x^2 +9y^2 =2

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where did I go wrong?

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wont 8(x/2) result in the same thing?

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How did you get the 4 in the denominator’s place?

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Oh my goodness, I can be such a dunce sometimes

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Maybe it’s a good idea to fully write out what I’m doing lol

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Now I’m wondering just how in the world there is a 9 beside the y

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Yeah, I now see how it could be y^2/9

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That’s what makes this confusing lol

obtuse pebbleBOT
#

@sterile vale Has your question been resolved?

obtuse pebbleBOT
#

@sterile vale Has your question been resolved?

obtuse pebbleBOT
#

@sterile vale Has your question been resolved?

obtuse pebbleBOT
#

@sterile vale Has your question been resolved?

obtuse pebbleBOT
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hard pike
#

can 3x^2+11x−20 be simplified further?

obtuse pebbleBOT
rich plume
#

you mean can it be factored?

hard pike
rich plume
#

yes it can be

hard pike
rich plume
#

you can try to break the middle term

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or by the concept of perfect squares

hard pike
#

or is it -60

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wait...

rich plume
#

It is -60

hard pike
#

its 15 and -4

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,$ 3x^2+15x-4x−20

rich plume
hard pike
#

$3x^2+15x-4x−20

rich plume
#

$3x^2+15x-4x−20$

warm shaleBOT
#

B-eard

hard pike
#

cool, i know where to go from here

hard pike
#

.close

obtuse pebbleBOT
#
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valid temple
#

Hey there! I'm doing some intercepts on the plane and I was wondering why in some cases you have to sqrt all the equation, meanwhile in others you don't. Here is the example:

The operations on the whiteboard is what I think i should do, but apparently nop.

Thanks in advance!

valid temple
#

My question is, why on the first screenshot you can sqrt all and have the result, meanwhile in the other operation, you cannot sqrt all

sage geode
#

sqrt(a^2 + b^2) is not a + b

cunning breach
#

$(-2)^2+y^2$ is not $(-2+y)^2$

warm shaleBOT
valid temple
#

mmm

#

still don't understand

#

I mean, why i cannot just sqrt all the equation for eliminating those ^2?

cunning breach
#

The reason why you are allowed to cancel the squared in the first photo, is that the expression is one. In the third picture, you're trying to cancel out two expressions, which is not allowed.

valid temple
#

okey so, in the first image it's correct because it just sqrt((x-2)^2) meanwhile what i tried to do it's incorrect because its sqrt((-2)^2+y^2)

#

and why it's not allowed?

cunning breach
#

$$(x-2)^2 = (x-2)(x-2) = y \cdot y$$ meanwhile $$(-2)^2 + y^2 \ne (-2+y)(-2+y)$$

warm shaleBOT
valid temple
#

okay so, you in this cases you can just sqrt when you have those special identities?

cunning breach
#

$$\sqrt{x}=x^{\frac{1}{2}}$$ so $$\textcircled{1} (x-2)^2 => \sqrt{(x-2)^2} => x-2$$ but $$\textcircled{2} \sqrt{(-2)^2 + y^2}$$ you cannot do the same as $\textcircled{1}$.

warm shaleBOT
valid temple
#

Okay, i think i got it

#

thank you so much!!

#

@valid temple

cunning breach
#

Welcome.

valid temple
#

.close

obtuse pebbleBOT
#
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junior jay
#

.repen

#

.reopen

obtuse pebbleBOT
dense crater
#

Do you know the SOH CAH TOA?

craggy berry
#

what is tan27

#

the value of tan27

royal basin
#

in fact, if you type anything beginning with a . in an available channel, it PREVENTS the channel from opening on your message

#

also yeah @junior jay do you know basic trigonometry

craggy berry
#

.reopen

#

oo

alpine raven
craggy berry
#

trignometry

#

i know the tan 30 value

#

1/root 3

royal basin
#

!redir

obtuse pebbleBOT
#

This channel is only for on-topic discussion. Please take casual conversation to #discussion or #chill.

craggy berry
#

but how to find tan 27

craggy berry
#

anng host

dense crater
#

You have a given of adjacent and an angle

craggy berry
#

you can use tan value and find it

junior jay
dense crater
#

You're trying to find the Opposite

junior jay
#

yep

craggy berry
#

tan = opposite/adjacent

junior jay
#

yes

dense crater
#

Use TOA

craggy berry
#

tan27=ac/bc

#

bc=13

dense crater
#

from the SOH CAH TOA

junior jay
#

so tan(27 = 0.50952

#

then what

craggy berry
#

0.50952 = ac / 13

#

then ac= 0.509*13

#

ac = 6.617

#

cm

#

Yea AC = 6.617cm

junior jay
#

yeah

#

so thats it?

craggy berry
#

yea

junior jay
#

I got another

craggy berry
#

I still study in like high school

junior jay
#

that's good

craggy berry
#

do you have any high school level math

#

doubts

junior jay
#

yep

craggy berry
#

oke

junior jay
#

wait

#

so this would be a

craggy berry
#

130 degress

#

130 degree

#

because when we add both angles a and b we need to get 180

#

soo 180-50

#

is 130

#

wait bro one sec

junior jay
#

where did you get 130?

#

I dont know how to do this

craggy berry
#

yess its 130

#

we had the same question

#

see

#

if we add both angles A and B

#

we are supposed to get 180 degree

#

because both form straight line

#

therefore

junior jay
#

the missing is 130

craggy berry
#

angle A=50

#

A+B=180

#

50+B=180

#

B=180-50

#

B=130

#

soo angle B is 130 degree

#

co interior angles

#

gott it

junior jay
#

alright let me get another question cause I need to practice to learn

craggy berry
#

do you have the answer key

#

for the bearing question

junior jay
#

wait I think you might be wrong

craggy berry
#

do u have google

#

on your device

junior jay
junior jay
craggy berry
#

lol

#

b is 130

#

its given'

junior jay
#

alr thanks Im gonna go now

craggy berry
#

add me brother

#

gtg too

#

byee

junior jay
#

ill ask if I need help

craggy berry
#

oke

junior jay
#

goodbye

craggy berry
#

bye

obtuse pebbleBOT
#

@junior jay Has your question been resolved?

#
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junior jay
#

.reopen

obtuse pebbleBOT
#

junior jay
#

.reopen

#

<@&286206848099549185>

obtuse pebbleBOT
#

@junior jay Has your question been resolved?

obtuse pebbleBOT
#
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plain nebula
obtuse pebbleBOT
plain nebula
#

can someone lmk what i did wrong

royal basin
#

what's the deriv of 2x^3+x?

plain nebula
#

6x^2

#

is it not

royal basin
#

no

#

that's just for 2x^3

plain nebula
#

oh shit

#

i forgot the 1 lol

royal basin
#

yes you did

plain nebula
#

thanks so much lol

royal basin
#

also don't forget parentheses, also don't quite your sixes like b's.

plain nebula
royal basin
#

those = who?

plain nebula
#

parenthases

royal basin
#

()

#

these fuckers

plain nebula
#

oh oh okay

cloud shadow
#

hi

plain nebula
#

did i do it wrong somewhere?\

royal basin
plain nebula
#

like the brackets

cloud shadow
#

!redir

#

what does that do

royal basin
plain nebula
#

oh u mean like () instead of writing multiply

royal basin
#

anyway uh

cloud shadow
#

k

royal basin
#

if you have a question of your own then take your own channel, otherwise go to #discussion or #chill

plain nebula
#

ok im done tysm!

#

.close

obtuse pebbleBOT
#
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royal basin
#

wait let me test this again...

#

!redir

obtuse pebbleBOT
#

This channel is only for on-topic discussion. Please take casual conversation to #discussion or #chill.

royal basin
#

huh strange

obtuse pebbleBOT
#
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mellow remnant
#

For number one. If a^2 - b^2 equals (a+b)(a-b) why is exercise number one doing something else? Could somebody explain please?

mellow remnant
austere hound
#

,rccw

warm shaleBOT
austere hound
#

Having kind of a hard time reading but are you referrring to the task

#

,, \Big( \sqrt{x} + \frac{1}{\sqrt{x}}\Big)^2 - \Big(\sqrt{x} - \frac{1}{\sqrt{x}}\Big)^2

warm shaleBOT
#

Joachim

obtuse pebbleBOT
#

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fathom schooner
#

39a

obtuse pebbleBOT
fathom schooner
austere torrent
#

How

#

Srr

fathom schooner
#

?

#

39 a please

obtuse pebbleBOT
#

@fathom schooner Has your question been resolved?

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timid silo
#

<@&286206848099549185> tell me if this is correct or not.

timid silo
#

I'm using the quadratic formula to solve

flat star
obtuse pebbleBOT
#

@timid silo Has your question been resolved?

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pine yacht
#

can someone plz explain this from the 2nd last step

tacit scarab
#

so we factored the quadratic

#

and for the last step you can either treat (m-4)(m-6) as a quadratic

#

or consider two cases: case 1 which m-4 is positive and m-6 is negative, and case two of m-4 being negative and m-6 positive

pine yacht
#

@tacit scarab didnt get it

tacit scarab
#

ok let's remember that a quadratic open upwards with positve coefficient

#

thus it's negative between the roots

pine yacht
#

i dont get it

#

can u explain it in a simpler way (english isnt my first lang srry )

#

im not getting things from this part

tacit scarab
#

a general quadratic can be written as ax^2+bx+c=0

pine yacht
#

yes

tacit scarab
#

and when a is positive, it open upwards

pine yacht
#

what does open upwards mean

tacit scarab
#

like it curves upwards

#

,w graph y=x^2-1

pine yacht
#

ok

tacit scarab
#

as you can see if the graph curves upwards, it is negative between the roots

pine yacht
#

negative between the roots ?

#

@tacit scarab is it ok if i revise my theory (as i dont remeber it) and then come back to u

tacit scarab
#

ok

pine yacht
#

thanks

#

mb for coming half prepared

tacit scarab
#

let a<b and they are the roots, then the quadratic is negative for a<x<b

obtuse pebbleBOT
#

@pine yacht Has your question been resolved?

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vivid yew
#

what's the procedure to do this exercise

obtuse pebbleBOT
obtuse pebbleBOT
#

@vivid yew Has your question been resolved?

vivid yew
#

help

timid silo
vivid yew
#

fine

pulsar oriole
#

I would locate that point in each case and then draw five lines through it.

vivid yew
#

i know that , i mean what's the correct sentence and procedures to used.
i will do an exam next week linked to this, so i want to see someone do an example.

if it's too long for you, give up, some else will try

#

.close

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timid silo
#

I want to understand the geometrical proof of d(sin(θ))/dθ = cos(θ).

I was watching Grant's video on derivatives and he used a unit circle to prove that d(sin(θ))/dθ = cos(θ). The image attached below shows how he did it.

My question is, how is the smaller triangle similar to the bigger one, so that the angle between d(sin(θ)) and dθ is equal to θ?

civic briar
#

AAA similarity

#

You see that that angle is theta with alternate angles

timid silo
#

Ah I see it now, thanks.

#

.close

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#
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nova cave
#

how can I solve for the x's?

obtuse pebbleBOT
nova cave
#

basically x^2(9-x)=44, x=?

civic briar
#

its guess and check time

nova cave
#

😭

#

alr thx

civic briar
#

x = -2 is an obvious solution

#

you can use that to factorize the cubic into a linear and quadratic

nova cave
#

damn ur right

civic briar
#

The quadratic is easily solvable

#

(hopefully)

nova cave
#

i can do quadratics

civic briar
#

Polynomial long division

#

Or if you're smart (about it) you can do it in your head

nova cave
#

okie thanks!

obtuse pebbleBOT
#

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woeful blade
#

Im confused by this question. I have no idea how to start, the only thing i know about is the formula for the volyme but other than that i dont understand the question very well.

obtuse pebbleBOT
#

@woeful blade Has your question been resolved?

woeful blade
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.close

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nova cave
timber fox
obtuse pebbleBOT
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bronze pumice
#

Can some one help me solve this problem?

obtuse pebbleBOT
bronze pumice
#

Oops wrong one

#

This one

#

Is this channel open?

brazen gorge
brazen gorge
bronze pumice
#

I know that height is changing at -1.4 in/sec and I know that the formula is V =1/3pi(r^2)h

#

Bc I am differentiating with respect to h, I could treat everything else as a constant

#

I feel like I already messed up somewhere

#

I have a feeling I might need similar triangles

#

Can I compare my radius to my hypotenuse

#

I just realized there are 2 variables here R and H

#

I ignored r before and treated it as a constant but bc it is a cone, the further away you get from the base the smaller the radius becomes

#

So I think my next step is to differentiate the volume formula with respects to time

#

So am I on the right path

#

?

obtuse pebbleBOT
#

@bronze pumice Has your question been resolved?

bronze pumice
#

No

#

.close

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severe forum
#

If the number 1,1010101… that has 1 as a whole and a random decimal place which we will call k, that for each whole positive k is: 0 if k is even and 1 if its uneven, is it irrational or rational?

severe forum
#

I did my best to translate

#

I also have to justify my answer

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#

@severe forum Has your question been resolved?

drifting wraith
#

what do you think

obtuse pebbleBOT
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tawdry arrow
#

Is this enough as proof (Is it even correct?), or am I missing something?
I is an index set, C is a set, (Ai)i ∈ I is a family of sets with Ai ⊂ C for all i ∈ I.

tawdry arrow
#

I hope the terms are correct cause I'm just translating as best as I can from german.

#

Wait, it formatted the first part wrong. Here's a better picture.

obtuse pebbleBOT
#

@tawdry arrow Has your question been resolved?

sage geode
#

On the second line shoudln't it be "x not in A_i"?

#

Ah wait I just noticed the bar

#

Yeah it's all correct @tawdry arrow

tawdry arrow
#

Thank you, much appreciated!

#

.close

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#
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thick crystal
#

how did they come from left side to the right side? lets pretend we dont know how the right side look and we want to go turn the left side to right side, how do i do it?

empty cypress
#

I suppose you could try to convert it to factorials and see if something nice comes out

#

I just know it as an identity

sage geode
#

Yeah if you defined binomial coefficients with factorials straight away then you just need to directly show that the equation is true

thick crystal
empty cypress
#

yes

#

I know that that equation is true by memory

thick crystal
sage geode
#

Yeah well how have you defined the binomial coefficient?

thick crystal
sage geode
#

How were you introduced to the binomial coefficient? Just using this formula?
[ \binom{n}{k} = \frac{n!}{k!(n-k)!} ]

warm shaleBOT
#

A Lonely Bean

thick crystal
#

yes

sage geode
#

Just apply the formula and the fact that (n+1)! = (n+1) * n!

#

The rest is simplification

thick crystal
#

if you look at the answer i send, they write it as this, so first number + whatever in the middle + the last number

#

but i dont understand how they got this

#

to this

sage geode
thick crystal
#

you showing me how to get this

#

to this

sage geode
#

Just write it the reverse way then

thick crystal
#

.close

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#
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fierce matrix
#

can anyone help me with this?

obtuse pebbleBOT
fierce matrix
#

its an infinite seuence i think

#

sequence

regal tundra
#

Yes

#

Do you know the formula for infinite sum of geometric series

#

A/1-r?

fierce matrix
#

idk how to type it in a keyboard tho

regal tundra
#

A/1-r?

fierce matrix
#

is that it?

regal tundra
#

Yes

fierce matrix
#

infinite geometric series

#

yh i think thats it

regal tundra
#

Ok

#

So you threw the ball once

fierce matrix
regal tundra
#

Yes

fierce matrix
#

alr

regal tundra
fierce matrix
#

two thirds?

regal tundra
#

It went up 6m feet and came down 6 feet

fierce matrix
#

ohh

regal tundra
#

How much did it travel

fierce matrix
#

two thirds?

regal tundra
#

Bro 6 +6 = 12

#

It travelled 6feet up and then 6 feet down

fierce matrix
#

oh

regal tundra
#

12 feet

fierce matrix
#

mb

regal tundra
#

So it went 12 feet the first time

fierce matrix
#

yh

regal tundra
#

Now

#

Second time

#

It went up two thirds of six feet

#

What is two thirds of 6

fierce matrix
#

8

#

wait

#

uh

#

3?

#

wait no

#

tha half

#

4

#

has to be 4

regal tundra
#

Yes

#

2*6/3 = 4

fierce matrix
regal tundra
#

Ok

regal tundra
fierce matrix
#

ok

regal tundra
#

Let's not even calculate two thirds of six

fierce matrix
#

ait ait

regal tundra
#

It went 2/3 ×6 up and 2/3 × 6 down

#

So how much did it move

#

2/3 ×(6+6) = 2/3 ×12

fierce matrix
#

wtf

regal tundra
#

Ok

#

Till what point did you get it?

regal tundra
fierce matrix
fierce matrix
fierce matrix
#

dont we have to lay out the given?

#

like a sub 1 is 6

regal tundra
#

Two thirds of something is 2/3 × the thing?

fierce matrix
#

idek tbh

#

i am so dead tmrw

regal tundra
#

Fraction bro?

fierce matrix
#

i have math exams tmrw

fierce matrix
#

hold on lemme send u a vid

regal tundra
#

Bro you know fractions?

fierce matrix
regal tundra
#

What grade are you in?

fierce matrix
regal tundra
#

They teach fractions in like 3rd grade or sum

fierce matrix
regal tundra
#

Like did you ever learn 1/7 or 2/3, 4/9 stuff like that?

fierce matrix
#

yep

#

i j forgot abt how to divid or multiply them

#

also integers

#

and idk how to divide

regal tundra
#

Ok show me you syllabus for tmr

fierce matrix
#

i have exams tmrw

#

math

regal tundra
#

What's coming in the exam

fierce matrix
#

i need it rn lol

fierce matrix
#

MATH

  • Generating Patterns
  • Arithmetic Sequence
  • Arithmetic Series
  • Arithmetic Mean
  • Geometric Sequence
  • Geometric Series
  • Infinite Geometric Series
#

here

regal tundra
#

You know arithmetic sequences?

fierce matrix
#

yep

#

a sub n = a sub 1 ( 1 - r)d

regal tundra
#

Yes

#

Their sum?

fierce matrix
#

wdym

regal tundra
#

Sum of arithmetic sequences

fierce matrix
#

n?

regal tundra
#

S=n/2(2a + (n-1)d)?

fierce matrix
#

wtf is that

fierce matrix
regal tundra
#

Ok i see

#

So

fierce matrix
#

its geometric sequence?

regal tundra
#

Can you give me an example of any arithmetic sequence

fierce matrix
#

mk

#

this was 1 of our activities abt arithmetic sequence

regal tundra
#

Stop looking at questions

#

First understand

fierce matrix
#

all ik is we have to lay out the thingies

regal tundra
#

1,4,7,10,13,16.... Is an arithmetic sequence

fierce matrix
#

can i explain to u how i answered it?

regal tundra
fierce matrix
#

yeah

regal tundra
#

You start with a number

#

Add something to it

#

Get the next number

#

You keep adding you keep getting numbers

fierce matrix
#

yh but it has a difference

#

like u gotta add them by 3

fierce matrix
regal tundra
#

Yes

#

So the number I keep adding is 3

#

And I started with 1

fierce matrix
#

yh and u gotta find the 47th term

fierce matrix
#

cuz its the first one

regal tundra
#

I said stop looking at the questions

fierce matrix
#

dam ok

regal tundra
#

Not talking about the ques

#

The number you begin with is "a"

#

It's the first term

fierce matrix
#

yhyh

regal tundra
#

So like in series 2,6,10,14,18... The first term is 2 and common difference is 4

#

You get this right?

#

@fierce matrix ?

fierce matrix
#

yhyh

regal tundra
#

You got that or no?

#

Be honest

#

So basically "a" and "d" can be any numbers

#

Like negative too

#

So 9,6,3,0,-3,-6 and so on

#

Here d is -3

#

Cuz you keep adding -3

#

@fierce matrix bruv you wanna do this or no?

fierce matrix
#

lol

regal tundra
#

Bruh you have test tmr you gotta focus up

fierce matrix
#

i am focusingg

#

im j watching a vid abt infinite geometric sequence

#

cuz the vid i sent u was the one my sir sent

#

aka the guy who made the vid

regal tundra
#

Hm

#

Ok

#

First do arithmetic series and related stuff tho

#

Thenn geometric

#

That'd be easier

#

If you have video

#

Then do it from video

#

That's easier

fierce matrix
#

i have all the vids

#

its from my sir's yt channel

regal tundra
#

Do it from there

#

And learn how to divide

#

And multiply

fierce matrix
#

alr

#

ty fr

regal tundra
#

Bruh I didn't even help

#

Good luck for your exam

heady walrus
#

Not sure if you still need help but the first question is simply adding by 3, repeat this process 47 times by multiplying to get your answer.

obtuse pebbleBOT
#

@fierce matrix Has your question been resolved?

obtuse pebbleBOT
#
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vast sun
#

hi, i've been asked to mathematically prove that there this functions graph is symmetrical to a point

vast sun
#

and find that point

#

i've read about some thing like this

#

where omega is the point of symmetry

#

but i'm skeptical

vast sun
neon vector
#

Why are you skeptical

vast sun
obtuse pebbleBOT
#

@vast sun Has your question been resolved?

vast sun
#

<@&286206848099549185>

obtuse pebbleBOT
#

@vast sun Has your question been resolved?

#
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Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

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fathom flicker
obtuse pebbleBOT
fathom flicker
#

Could anyone double check my proof here?

obtuse pebbleBOT
#

@fathom flicker Has your question been resolved?

kind hawk
#

from where are you pulling the primes

dark stirrup
#

$9000=2^3 3^2 5^3$

warm shaleBOT
kind hawk
#

the first paragraph is clear, you are using that argument already to show that a,b,c,d need to be of that form with the exponents being less than 3,2,3

#

(well yes I know but its not clear in the proof)

dark stirrup
#

I have no idea how to read || * *| * *

kind hawk
#

same

fathom flicker
#

That means | 1 power

#

And every star after it

#

Gets it

kind hawk
#

even with the example its not clear

fathom flicker
#

||*

#

Means a being the first star

#

Gets 2 powers

#

And placing the stars in order like that garuntees the non decreasing

fathom flicker
kind hawk
#

instead of stating that

fathom flicker
#

Oh well yeah I can just state the prime factorization of 9000

#

I should do that

#

I forgot when I was writing it up

kind hawk
#

and when you then argue that a,b,c,d have to be of that form then you basically already give the argument for why the exponents have to be nondecreasing

fathom flicker
#

I elaborated incase it wasn’t clear

#

But It should be immediate yet

#

Yes*

kind hawk
#

are there really 35 nondecreasing sequences with 0-3? that seems super high. I am not convinced by your stars and bar argument somehow

#

I suppose there are quite a bit more total

#

ehh probably works out

fathom flicker
#

Yeah because like for example if d=2^3 there can also have c=b=a=2^3

#

And so like it kind of cascades since they can still be equal to the preceding variable

#

2^3 2^3 2^3 2^3 , 2^3, 2^3 2^3 2^2, 2^3 2^3 2^2 2^2, 2^3 2^2 2^2 2^2

#

like that is just 16 i think real easily

#

so 35 is fari

#

fair*

kind hawk
#

how about you just write the exponents instead of this mess

#

but yeah I think it works out

fathom flicker
#

3 3 3 3, 3 3 3 2, 3 3 2 2, 3 2 2 2, 2 2 2 2, 2 2 2 1, 2 2 1 1, 2 1 1 1

#

yea

kind hawk
#

but your argument needs to be rewritten. not clear currently whats happening

fathom flicker
#

which part of it unclear besides the prime factorization

kind hawk
#

how to read the stars bars thing

fathom flicker
#

Okay

#

I'll work on that

#

ty

fathom flicker
#

how r u

#

long time no see kinda

dark stirrup
#

been busy

fathom flicker
#

understandable

#

well anyways ttyl

#

ty denascite

#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @fathom flicker

Use .reopen if this was a mistake.

obtuse pebbleBOT
#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

tawdry arrow
#

Does this make sense (if it does, is it complete?), or did I misunderstand certain rules of sets?

tawdry arrow
#

I'm going batshit insane.

#

Let's fucking go, thank you for checking.

#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @tawdry arrow

Use .reopen if this was a mistake.

tawdry arrow
#

forgot to close 💀

dark stirrup
#

.reopen

obtuse pebbleBOT
#

dark stirrup
#

@tawdry arrow that user was banned for giving random, not necessarily true advice.

tawdry arrow
#

Oh.

dark stirrup
#

I would expand your reasoning between these two steps

#

Specifically, have you shown in the past that $(A\times B)\setminus(C\times D)=(A\setminus C)\times (B\setminus D)$?

warm shaleBOT
tawdry arrow
#

No, I haven't. For some reason I thought they would just be equal without showing it.

#

Let me try.

dark stirrup
#

(hint: they will not be equal)

tawdry arrow
#

So, the entire thing is just bullshit.

dark stirrup
#

Not entirely. You just made a bad assumption here.

#

You at least have a decent understanding otherwise.

#

But, I do recommend starting over, just to be safe.

#

You're fine up to here