#help-33

1 messages · Page 51 of 1

still temple
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i need help with b

marsh citrusBOT
still temple
#

<@&286206848099549185>

green sky
marsh citrusBOT
#

@still temple Has your question been resolved?

still temple
#

35 student do it

green sky
marsh citrusBOT
#

@still temple Has your question been resolved?

still temple
#

.close

marsh citrusBOT
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still temple
marsh citrusBOT
still temple
#

i needed to find f(x) and that s what i have so far but i dont know how to find C2

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LoL

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Is that exp?

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yes

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So

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f'(ln x) = 1 exp 0, when 0< x ≤ 1

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?

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LoL

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What is the Russian?

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Here

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"while"

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and "and" in the side

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Ahhhhh

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Okkkkk

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AH

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I GOT IT

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IM STUPID

#

.close

marsh citrusBOT
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cloud kettle
#

Are odd square roots of negative numbers defined?

lucid zenith
#

you mean odd roots

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and yes

cloud kettle
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Alright thanks

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That's what I meant

lucid zenith
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$\sqrt[2n+1]{-k} = -\sqrt[2n+1]{k}$

elfin berryBOT
#

kheerii

cloud kettle
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I see

#

.close

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echo jolt
#

I'm trynna convert the Cartesian equation to the equation of a line but X=1 stuck what am I supposed to do with x=1 ?

echo jolt
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is x = 1 + slander 0 ?

#

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lusty scroll
marsh citrusBOT
lucid zenith
#

!status

marsh citrusBOT
#
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
lusty scroll
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oh sorry

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got it

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stupid doubt

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.close

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forest orchid
#

what am i doing wrong

marsh citrusBOT
forest orchid
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expanded (y-2)^2

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using special products (a-b)^2=a^2-2ab+b^2

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idk how they ended up with y^2-4y+4

frail hinge
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yes

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we just have to insert the values

forest orchid
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why is it not -2

elfin berryBOT
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Şêro

forest orchid
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Oh OOPS

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I JUST BROUGHT THE WHOLE "-2" WIT ME

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its 2

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Ur right

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ty for clarification

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.close

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hollow drift
#

Is it true that all lines in space of the form x = ay = z lie in the same plane?

hollow drift
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I believe it is true but I dont know how to prove it

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Not rigorous proof, just an example proof

bleak ibex
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Well, x = z defines a plane

hollow drift
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Yes

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So, since all lines imagined lie in planes with the same normal vector and both pass through the same point, they must lie in the same plane. Therefore, any two lines of the form x = ay = z will lie in the same plane.

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Is that a valid reason?

bleak ibex
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Well, it is simpler. Any point on the line satisfies x = z, and that always lies on the plane x = z

hollow drift
#

Thanks, thats an easier explanation

#

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slim quartz
#

Hiw do u do this

marsh citrusBOT
stoic saddle
#

,rccw

elfin berryBOT
stoic saddle
#

do you know how to solve equations like this in general

harsh holly
#

This is going to be a long-ass solution 🔥

hollow drift
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Start by factoring

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Do you know how to factor

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?

marsh citrusBOT
#

@slim quartz Has your question been resolved?

marsh citrusBOT
#

@slim quartz Has your question been resolved?

wintry shale
marsh citrusBOT
#

@slim quartz Has your question been resolved?

wintry shale
#

@slim quartz

marsh citrusBOT
#
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marsh citrusBOT
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eager moat
#

does anyone know how to move an ellipse? like the equation, how do you shift it left and right?
im tryna make a line that goes through (-20,0), (-15, 7.5), (-7.5, 9.8)

echo bough
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if its just shifting

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replace the x and y

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by (x-a) and (y-b)

eager moat
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?

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wdym

echo bough
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if you want to shift the ellipse by 3 on the right

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replace x by (x-3)

eager moat
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im fucking stupid

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thanks

marsh citrusBOT
#

@eager moat Has your question been resolved?

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modest lotus
#

shouldn’t the original function of x/2 be x^2/2 where did the 4 come from?

bright jay
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Because you just integrate x

modest lotus
whole sleet
#

Maybe instead, try taking the derivative of x²/2, and show that you don't get x/2

modest lotus
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wait ill write what m talking about im a paper

whole sleet
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No need, he is probably doing the same thing I am

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What is the derivative of x²/2, btw?

modest lotus
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okey i kept sketching and couldn’t see it

modest lotus
whole sleet
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Right! The derivative is x. The derivative is not x/2

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If the derivative of x²/2 is not x/2,

Then the integral of x/2 is not x²/2

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.
But we can fix it.
If the derivative of x²/2 is x,

Then we can divide both by 2, and get that the derivative of x²/4 is x/2

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Which is what we want, and gives us our integral

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We have the integral power rule for this, though. That is, whenever you're integrating x^n, add 1 to the exponent, then divide by the new exponent.

modest lotus
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jesus m so dum

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i get it now

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the 2 at first get canceled therefore its just x

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my mistake was still writing x/2 even tho the 2 is gone

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so x becomes x^2/2

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yes that makes total sense

marsh citrusBOT
#

@modest lotus Has your question been resolved?

modest lotus
#

yes thanks guys btw

marsh citrusBOT
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rugged coral
#

Hey I have a question regarding circle geometry

green sky
#

Yes

rugged coral
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I want to know how to solve this problem I don’t want the answer I just want to know how to start solving it bc I couldn’t grasp the information on how to do it in class today

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Here is the problem

marsh citrusBOT
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@rugged coral Has your question been resolved?

rugged coral
#

<@&286206848099549185>

#

Sorry I haven’t gotten any help in like 20 mins

exotic barn
#

Can you rotate

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Idk how they rotated it

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,rotate

elfin berryBOT
exotic barn
#

You can first calculate arc VY

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and then calculate arc YX, and the. The rest should be done

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Ping me if you need more help

marsh citrusBOT
#

@rugged coral Has your question been resolved?

stark trail
#

Don't click on that link

marsh citrusBOT
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still temple
#

how can i simplify arctan(3)-arctan(1)?

marsh citrusBOT
still temple
#

so that it becomes arctan(p(x))

stoic saddle
#

p(x)?

still temple
#

some function

stoic saddle
#

eh?

still temple
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any function

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3

stoic saddle
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sounds kind of strange even if formally valid

still temple
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3x^2

stoic saddle
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there is no x in arctan(3) - arctan(1)

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so what is this talk of functions

still temple
#

it says express your answer in the form arctan(p)

stoic saddle
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show exact problem statement

still temple
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Find the value of arctan(3)-arctan(1), expressing your answer in the form arctan q, where $q \in Q$

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yeah, sorry

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q is an integer

stoic saddle
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did you mean $q \in \bQ$

elfin berryBOT
still temple
#

yeah

stoic saddle
#

Q is not the set of integers, Q is the set of rational numbers

still temple
#

oh

stoic saddle
#

anyway

still temple
#

ok

stoic saddle
#

consider $\tan(\arctan(3) - \arctan(1))$

elfin berryBOT
still temple
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idk why u can wrap tan around it

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that is my problem

stoic saddle
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do you think you need special permission, signed and notarized in triplicate, to consider the tan of an expression as opposed to an expression itself?

still temple
#

if this were an equation, wouldn't u have to wrap tan on both sides

stoic saddle
#

we will come back to arctan(3)-arctan(1) itself soon enough.

still temple
stoic saddle
#

you might say we are letting theta := arctan(3) - arctan(1) and considering tan(theta), if that makes things easier for you.

still temple
#

it is an angle identity thing

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$\arctan(3) - \arctan(1)=x$

elfin berryBOT
still temple
#

$\tan(\arctan(3) - \arctan(1))=\tan(x)$

elfin berryBOT
still temple
#

shouldn't it become something like this?

stoic saddle
#

yeah sure

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same shit

still temple
#

oh is it?

stoic saddle
#

idk about "should" -- are you basing this on some feedback you received from your prof where they rejected a similarly phrased solution?

still temple
#

no, i looked at the answer key

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but expressions are weirder than equations tbf

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i prefer having something on the other side

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.close

marsh citrusBOT
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marsh citrusBOT
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marsh citrusBOT
daring dagger
#

<@&268886789983436800>

marsh citrusBOT
#
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daring dagger
#

post it in any of these available channel

#

not here

marble viper
#

oh

runic temple
#

.close

#

:I

daring dagger
#

bot moment

marsh citrusBOT
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still temple
#

what symbol are these? left one seems to be big delta

#

what is the right?

untold wyvern
#

capital lambda

#

what topic is this btw, rarely seen capital lambda being used, especially for angles

marsh citrusBOT
#

@still temple Has your question been resolved?

marsh citrusBOT
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still temple
marsh citrusBOT
still temple
#

my answer is coming 1/2 while the correct answer is given 1

marsh citrusBOT
still temple
#

ok

#

let me download discord on phone

#

pls wait

main idol
#

show the answer as well

still temple
main idol
#

which problem number

main idol
still temple
#

4th

main idol
#

that's a mistake. 1/2 is correct

still temple
#

so it means i was right ?

#

i mean my process is correct ?

main idol
#

i mean yes if you're allowed to use taylor series

still temple
#

thanks

#

!close

#

.close

marsh citrusBOT
#
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still temple
marsh citrusBOT
worn nimbus
#

are you allowed to use LH?

still temple
#

meaning of LH ?

worn nimbus
#

lhopital

still temple
#

if its also called series expansion / taylor series then yes

worn nimbus
#

lhopital is when you take the derivative of the top and bottom

still temple
#

oh then no

worn nimbus
#

alright

still temple
#

sir said he will teach us in few days so i think this question wont use that method

worn nimbus
#

okay then

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so have you tried to use a series yet

still temple
#

yes i have tried to use the sin and cos but how what to put on log(1-x)

worn nimbus
#

do know how to make the taylor series for log(1-x)

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you can use that

still temple
#

could you please tell ?

worn nimbus
#

it is -x -x^2/2 - x^3/3 etcetera

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$\sum_{k = 1}^{\infty} -\frac{x^k}{k}$

elfin berryBOT
worn nimbus
#

for the taylor series at x = 0

still temple
#

ok could you wait till i put this value and check my answer ?

worn nimbus
#

yeah sure

still temple
#

thanks

still temple
worn nimbus
#

surprisingly no

still temple
#

ok

#

What to do next ?

worn nimbus
#

(x/3)/x = 1/3

still temple
#

can you please write and show me what to do next ?

worn nimbus
#

your expression simplifies

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to -1/3! - x/4! - 1/3

#

and you can compute the limit of that

still temple
#

ok

#

let me try

#

ya i got the answer i.e -1/2 thanks !!!

worn nimbus
#

nice

still temple
#

very very thanks

#

.close

marsh citrusBOT
#
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torpid owl
#

is this right?

marsh citrusBOT
torpid owl
#

(not a test btw)

#

circ. is 18

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18/2 = 9 = r

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H = 8

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9^2 * 8 * 3.14 / 3 gave me a decimal

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rounded to the tenths.

odd turret
#

you round to the whole number

proud ice
#

The numbers you plugged in look fine

torpid owl
odd turret
#

,calc 9^2 * 8 * 3.14 / 3

elfin berryBOT
#

Result:

678.24
proud ice
#

Oh right the /3

odd turret
#

doesn't look like it

proud ice
#

I missed that too (I haven't slept today)

torpid owl
#

so 678? @odd turret

odd turret
#

,calc 9^2 * 8 * 3.141592653589 / 3

elfin berryBOT
#

Result:

678.58401317522
odd turret
#

3.14 is not pi

#

no...

torpid owl
#

679?

proud ice
#

This problem is genius.

#

pi vs 3.14. Very subtle

torpid owl
#

you'd have to input pi into a calc. i'm guessing..

proud ice
#

Most calculators have a specific button for pi

torpid owl
#

i'm using desmos scientific

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I should be good right?

proud ice
#

Just type pi

torpid owl
#

yeah I did

#

also is this right?

proud ice
#

!show

marsh citrusBOT
#

Show your work, and if possible, explain where you are stuck.

torpid owl
#

8 * 12 = 96

#

96 * 7 / 3

#

viola

odd turret
#

96 * 7 / 3 = 32?

proud ice
#

Looks like you forgot to *7

torpid owl
#

🤦

#

224*

#

good?

odd turret
#

,calc 96 * 7 / 3

elfin berryBOT
#

Result:

224
odd turret
torpid owl
#

👍

#

.close

marsh citrusBOT
#
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winged tree
#

Any help is appreciated

marsh citrusBOT
mystic minnow
#

what do you have for the definition of probability?

winged tree
#

Im gonna be honest here I have no idea what im doing with this question thats why i am asking for help lmao, so I couldn't tell you

mystic minnow
marsh citrusBOT
#

@winged tree Has your question been resolved?

marsh citrusBOT
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wary wolf
#

I dont know which one is the proportional relationship and ping me if you know this.

marsh citrusBOT
#

@wary wolf Has your question been resolved?

wary wolf
#

<@&286206848099549185>

peak marten
wary wolf
#

if it multiples or add

peak marten
#

Okay, so
If we go back to the definition, a proportional relationship is one where y=kx for some constant, k

wary wolf
#

alr

peak marten
#

Basically, if they’re ‘off’ by a factor

#

So going back to your problem, which of those fit that definition?

wary wolf
#

y=10/3x+1/3

peak marten
#

So, what is your line of reasoning of selecting that one?

wary wolf
#

it says 10/3x + 1/3 and if you add them up its 3 2/3

peak marten
#

Okay
Let me try and rephrase

Y is proportional to x if y=kx, right?

So for y=10/3x+1/3, that +1/3 doesn’t match with the definition

wary wolf
#

oh

#

its just for adding

#

10/3x is for the multiplying

peak marten
#

Yeah, I understand

What I mean is that by adding that, we no longer have a proportional relationship

#

Does that make sense?

wary wolf
#

yes

#

so 10/3x + 1/3 is correct

#

but not incorrect

peak marten
#

All we can say is that y=10/3x+1/3 is not a proportional relationship

wary wolf
#

oh so y=10/3x+1/3 is not a proptional relationship

peak marten
#

Exactly

#

Now, y=10/3x is a proportional relationship

wary wolf
#

is there still more non proportional relationship

peak marten
#

Well, what do you think?

wary wolf
#

I think thats the only one

peak marten
#

Let’s just go through them left to right:
Is the first one a proportional relationship?

wary wolf
#

yes

peak marten
#

Great! What about the second one?

#

Well, we did that one already, how about the third?

wary wolf
#

proportional

peak marten
#

Nice! And the last one?

wary wolf
#

non

peak marten
#

So how many non-proportional relationships are there?

wary wolf
#

2

peak marten
#

Looks like you got your answer then! Everything make sense?

wary wolf
#

yes

#

.close

marsh citrusBOT
#
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faint garnet
#

is 30b Dne, or des it jump down to the bottom graph

cunning cobalt
#

30b does neither of those things

#

did you mean a different one?

faint garnet
#

no

#

30b, since it's coming from the right, does it jump from the graph on the right to the graph on the left?

#

cause if it does that then the answer is 2

#

but if it cant jump to the other graph the answer would just be DNE

cunning cobalt
#

well yes, i was just a little confused by the term "jump"

faint garnet
#

u know wht im tryna say

cunning cobalt
#

since this is one function

faint garnet
cunning cobalt
#

all g

#

yes its 2 then

faint garnet
#

okok

#

Thxx

#

.close

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#
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limber condor
#

Does the operation max(A) is linear?

I mean, if I define C = [x+y | x ϵ A ^ y ϵ B}, then max(C) = max(A) + max(B)?

main idol
#

What's A? A vector?

limber condor
#

No, a set

proud ice
#

Have you given any consideration to what the answer could be?

#

You could try to prove using induction

limber condor
#

Uh, but I'm not working with naturals, these are real numbers sets

proud ice
#

Doesn't matter

#

The sets are finetely sized

limber condor
#

Uh, well I'll try that

#

.close

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#
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ivory laurel
#

I don’t understand the underlined part, how does it imply |an|r^n tends to 0 shouldn’t it just be anr^n tends to 0 without the absolute sign

glacial hedge
#

an -> 0 <=> |an| -> 0

ivory laurel
#

Oh wait yes this only applies to sequences with limits that are 0 right

glacial hedge
#

Yes

#

Because then the circle is reduced to a point

#

(so in general an -> a is stronger than |an| -> |a|)

marsh citrusBOT
#

@ivory laurel Has your question been resolved?

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lapis sable
#

I need to find the surface area of this composite figure

winter meteor
winter meteor
#

find the surface area of each of them

#

Profit

lapis sable
winter meteor
#

How many faces does the 3D object have

twilit grove
#

<@&268886789983436800> spam

still temple
#

ban when :/

glacial hedge
#

Legend has it all mods are American and it may be they're all asleep

still temple
#

:// mods really be inactive in this server tho.....there was another fight 2h ago in the help channel

glacial hedge
#

I don't believe it, but it has yet to be proven false since I asked 40 min ago

cloud kettle
#

America 8 21 am now

glacial hedge
#

At the latest, or would that be 9:21 ?

cloud kettle
#

Googled

lapis sable
glacial hedge
#

2 solids, which makes for a lot more than 2 faces

paper raptor
cloud kettle
#

Oh

glacial hedge
#

Why P and not W for West ?

marsh citrusBOT
#

@lapis sable Has your question been resolved?

twilit grove
#

Pacific

marsh citrusBOT
#
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still temple
#

why isnt sqrt(a²+b²) simplified to a+b?

marsh citrusBOT
still temple
#

a²+b²

gloomy crypt
#

No

still temple
#

bruh

gloomy crypt
#

Its A^2 + B^2 + 2AB

paper raptor
#

$(a+b)^2=(a+b)(a+b)=a(a+b)+b(a+b)=a^2+ab+ab+b^2=$\fbox{$a^2+2ab+b^2$}. Therefore $(a+b)^2\neq a^2+b^2$ and hence $\sqrt{(a+b)^2}\neq\sqrt{a^2+b^2}\implies a+b\neq\sqrt{a^2+b^2}$

elfin berryBOT
#

XxMrFancyu2xX

still temple
#

so sqrt((a+b)²=a+b

gloomy crypt
#

Yes

paper raptor
#

Yes because square root and square cancel out

still temple
#

am smart

gloomy crypt
still temple
#

thx

gloomy crypt
#

@still temple Is your problem solved ?_?

#

If yess then kindly close this by .close

still temple
#

.close

marsh citrusBOT
#
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snow bison
marsh citrusBOT
snow bison
#

Would the missing linear value be 65?

#

If so how so?

#

I’m so confused

rocky veldt
#

Ok do you know general equation of a linear form

#

$y = ax + b$

elfin berryBOT
#

Encrpyt

rocky veldt
snow bison
snow bison
rocky veldt
#

Ok, so, now we insert the first value, that is x=0, y=5, what will be equation in that case

snow bison
#

oh

#

hm

#

not sue w

#

sure wouldn’t it be like this

snow bison
rocky veldt
#

ok, if we insert y=5 and x=0
then we get 5 = a(0) + b
b = 5

#

did you get this

snow bison
#

oh

#

yes i see

rocky veldt
#

Now, we got equation as $y = ax + 5$

elfin berryBOT
#

Encrpyt

rocky veldt
#

Now, can you insert y=125 and x=2, find what is 'a'.

marsh citrusBOT
#

@snow bison Has your question been resolved?

snow bison
#

60

#

omggg

#

125=(60)(2)+5

rocky veldt
#

Great, now can you tell me value of y when x=1 in the equation y=60x +5

snow bison
#

65 ?

rocky veldt
#

Yes you got it!

snow bison
#

tysm!

#

.close

marsh citrusBOT
#
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slender junco
#

just need help rearranging an equation

marsh citrusBOT
slender junco
#

T = 2π * √(I / (m * g * d^2))

#

so rearranging for my g = 4π^2 * (I / (m * s))

where s is slope

Where slope is Delta_T^2/Delta_d

marsh citrusBOT
#

@slender junco Has your question been resolved?

slender junco
#

<@&286206848099549185>

#

<@&286206848099549185>

twilit grove
#

what are you asking here?

marsh citrusBOT
#

@slender junco Has your question been resolved?

marsh citrusBOT
#
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native tapir
#

how is the answer d?

marsh citrusBOT
#

@native tapir Has your question been resolved?

native tapir
#

.close

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still temple
marsh citrusBOT
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@still temple Has your question been resolved?

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still temple
#

Why is he ticking the equation on the left?

still temple
#

2 < 3 is not in the triangle.

#

and why is he putting a big X on sections (he said something wont be there) but idk why he crossed it.

bright jay
still temple
#

Yes

#

I understand

#

But why is he ticking it.

#

What is the point of that equation

bright jay
#

Because he's plugging in that coordinate, and confirmed it for the first inequality that (1, 2) satisfies it but for the others, it doesn't work

still temple
#

satisfies what

#

???????????????????????????????

bright jay
#

The inequality

still temple
#

How do ik if it satisfies the inequality

bright jay
#

If it's a true statement

still temple
#

How do ik if its a true statement

#

Oh

#

OH

bright jay
still temple
#

2 is less than 3

#

is that the statement

bright jay
#

Yes

still temple
#

Alr

bright jay
#

Plug in the coordinates (1, 2) into the first inequality

still temple
#

And then why is he crossing out the other regions and sides

bright jay
#

You have 2 < 2(1) + 1 which is 2 < 3, that's true so (1, 2) satisfies the inequality

bright jay
still temple
#

Mhm

#

OHH

#

So like

bright jay
#

If it fails at least 1 inequality then that region does not satisfy all three regions

still temple
#

If i picked -4, 4

#

Do i put it through each inequality

bright jay
#

If it fails at least 1 inequality

#

You plug it into each inequality, and the first one that fails, you can stop

#

Because if it fails one then that region does not satisfy all three inequality

still temple
#

it failed it

#

why shouldnt it satisfy all 3 regions

#

i picked one region

#

I picked that region

bright jay
#

Meant to say inequality

#

Because if it fails one then that region does not satisfy all three inequality

still temple
#

yeah so?

#

Wait huh

#

My regions are

bright jay
#

Your goal is to find the region that satisfies all 3 inequalities

still temple
#

Is this one region

#

So it has to be somewhere in the blue?

bright jay
#

You did (-4, 4) first, because it failed the first inequality, that means that region will not satisfy all three inequalities

bright jay
bright jay
still temple
#

Bruh i dont know which region is which

#

How do ik the regions

bright jay
#

The region is the area encompassed by the lines

#

The lines are the borders

still temple
#

wdym encompassed

bright jay
#

Google it

still temple
#

Which regions bro

bright jay
#

The lines are the borders

still temple
#

Is that all 3 regions

bright jay
#

No

still temple
#

Then tell me where.

bright jay
#

lines are the borders

#

Follow along the lines

#

That encompass a region

still temple
#

Thats 4 regions

bright jay
#

Yes that's 4 of the many existing regions

still temple
#

But theres 3 inequalitys

#

So shouldnt it be 3 invalid?

bright jay
#

No

still temple
#

<@&286206848099549185>

bright jay
#

You can have as many regions as you want

still temple
#

I need someone to better explain.

bright jay
#

There's not a set limit

still temple
#

No offence your explanation is confusing as hell to understand.

bright jay
#

Then understand it, it's not complex

still temple
#

Your doing everything but answering my question

bright jay
#

You asked

So shouldnt it be 3 invalid?

still temple
#

Anyways ill wait for someone else go have some tea.

bright jay
#

I'm saying no because you can have 10 regions if you wanted

#

And only certain ones will work

still temple
#

.close

marsh citrusBOT
#
Channel closed

Closed by @wise moth

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bright jay
#

.reopen

marsh citrusBOT
#

bright jay
#

Don't be a prick

#

A video revising the techniques and strategies for completing questions on graphical inequalities & shaded regions (Higher Only)

This video is part of the Inequalities module in GCSE maths, see my other videos below to continue with the series focussed on Inequalities.

Download the Worksheet: https://thegcsemathstutor.co.uk/lesson-home/

Usefu...

▶ Play video
bright jay
main idol
still temple
#

stop reopening this ticket its solved.

#

.close

marsh citrusBOT
#
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blazing mist
marsh citrusBOT
blazing mist
#

can anyone explain squaring the ceiling function? Do I just square the inner terms?

main idol
#

ceiling(3.1) = 4

blazing mist
#

ok so a composition

main idol
#

4^2 = 16

blazing mist
#

so in this case it'd be, take the ceiling value and square it ?

#

thank you!

#

.close

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ripe oasis
#

hey so apparently you can raise both sides of an equation to the power of 2

ripe oasis
#

why does this work?

#

and is it related to applying the exp function?

main idol
#

you're asking why x = y implies x^2 = y^2 ?

ripe oasis
#

yeah

#

oh well

#

now it's obvious

#

hm

#

but does this mean you can only raise to power of 2 if x > 0 and y > 0?

main idol
#

no

#

x = y = -3

#

what's x^2 ?

ripe oasis
#

9

#

ahh

ebon smelt
#

x=y => x²=y²
but x²=y² does not imply x = y

elfin berryBOT
#

madmike

ripe oasis
#

so uhh wolframalpha says the real solutions are this

#

I am not sure how to get there

#

because I'd assume xy = 0 is true if either x=0 or y=0

#

but then why not x < 0

#

or y < 0

ebon smelt
#

you're squaring the above equation so you're getting more solutions then you're supposed to have for the original equation
y=0 and x<0 won't satisfy above equation because the output of sqrt function is positive

#

same is true for y<0

ripe oasis
#

ah yeah I see ...

#

how do you catch stuff like this?

#

I had no idea

#

thought I just need to solve for xy and then I'd get the solution

ebon smelt
#

Please note that sqrt(x²)=|x| (look at my about ^_^)
And hence putting y = 0 gives |x|=x which is true only for x>0

ripe oasis
#

ohhhh

ebon smelt
ripe oasis
#

ok tricky question then l0l

#

hm

#

tbh this rly confuses me

#

so squaring both sides is not a safe operation l0l

ebon smelt
#

No, because x² is an not an injective function

#

you'll have to check all the solutions manually after getting to the answer

ripe oasis
#

ahhhh that makes sense

#

not injective means one input can be mapped to multiple outputs so when we square we will get some solutions that might not work

ebon smelt
#

Yes

ripe oasis
#

thanks a lot

#

.close

marsh citrusBOT
#
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marsh citrusBOT
still temple
#

draw a triangle

loud hamlet
still temple
#

!show

marsh citrusBOT
#

Show your work, and if possible, explain where you are stuck.

loud hamlet
#

So.. I got sin = 5/rad34

still temple
#

how did you get that

loud hamlet
#

Sin = o/h

#

3 I mean

still temple
#

cos = a/h

#

not o/a

loud hamlet
#

Ooo

still temple
#

sec is 1/cos

loud hamlet
#

Tysm

#

.close

marsh citrusBOT
#
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still temple
#

Hi

marsh citrusBOT
still temple
#

I’m so confused

#

<@&286206848099549185>

marsh citrusBOT
#

Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.

elfin berryBOT
still temple
#

<@&286206848099549185>

desert socket
#

Draw a diagram and send a labelled pic

still temple
#

Ladder and wall are thee

#

There

young owl
#

nope, 3m is the length of the ladder

still temple
#

I know

young owl
#

not the height that the ladder reaches when tilted

still temple
#

Wait what

#

ohh

#

What’s the length

#

Ah thank you

young owl
#

the distance between the two extremities of an object

still temple
#

damn I’m not that smart I’m only year 9

inner kernel
#

my pleasure'

still temple
#

Your very smart

inner kernel
#

thanks.............

desert socket
#

!nosols

marsh citrusBOT
#

As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.

inner kernel
#

ohk great didnt knew

desert socket
#

Also probably a ' ChatGPT answer '

inner kernel
#

damn you sure 9

#

hey on this app just saying can we play among us like .......

still temple
#

I’m not 9

#

I’m 14

#

I’m year 9 Uk

inner kernel
#

ok i still dont recommend you using less of those words you know it makes your personality less likable by people

#

no dont sorry

still temple
#

nobody likes me anyway

#

Doesn’t really matter

inner kernel
#

well umm can we play among us together

#

like here

still temple
#

Don’t have it

inner kernel
#

oh great

marsh citrusBOT
#

@still temple Has your question been resolved?

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cyan radish
#

This will probably be a hard one to explain (abstract set theory)
So we have classes that are sets and classes that aren't sets right? (I'm talking about ZFC here) There are classes that aren't sets like the sets of all sets or the sets of all tiny sets that are known to create paradoxes if one consider them a set. But are all classes that are not sets create paradoxes? If we can't answer the question, to what other question in math the provlem equivalent to?

cyan radish
#

Bro I already opened it. I dont know the answer to your question but feel free to move it to another place

main idol
#

delete your message please

wise minnow
#

We posted at the same time

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I didn't know you had posted

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Sorry...

marsh citrusBOT
#

@cyan radish Has your question been resolved?

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ocean marsh
marsh citrusBOT
ocean marsh
#

What do I do now

main idol
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there's no question

ocean marsh
#

No

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I am stuck at a step

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I was dividing

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And got stuck

main idol
#

dividing what ? your handwriting is all over

ocean marsh
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(4x³-5x²-kx+32)÷ 4x-1

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Is it possible to do this by division

main idol
#

what are you solving for?

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it'd be a lot faster if you just showed the question with instructions

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instead of going back and forth asking clarifying question

ocean marsh
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I am literally

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Just

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Dividing

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That's the question you know

main idol
#

no i don't know

main idol
ocean marsh
#

Its just my query

marsh citrusBOT
#

@ocean marsh Has your question been resolved?

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marsh citrusBOT
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urban grail
marsh citrusBOT
urban grail
#

Türk biri çözse daha iyi olur

marsh citrusBOT
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marsh citrusBOT
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still temple
#

Quite easy little thing yet I am paranoid

marsh citrusBOT
still temple
#

Did I do everything correct

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Basically task is to say if these logical operations have no contradictions

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It has no contradictions right?

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Oh wait

raven olive
#

What about A/B?

still temple
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I am mega stupid

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Yes

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2 is not supposed to not exist

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How stupid is that

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Close

#

.close

marsh citrusBOT
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graceful nacelle
marsh citrusBOT
graceful nacelle
#

is this not 7pi/6

still temple
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what makes you think that?

graceful nacelle
#

because A is pi/6

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and B is just pi radians ahead of A

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so pi+pi/6=7pi/6

still temple
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I do not see any evidence for that in the image you've given

graceful nacelle
#

wdym

still temple
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and B is just pi radians ahead of A

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where are you getting this information?

graceful nacelle
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thats true

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i just looked at the line between the points and it went through the middle of the circle

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so how do i advance

still temple
graceful nacelle
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no teacher, khan academy

still temple
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each part is unrelated

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choose the angle in the correct eighth

graceful nacelle
#

wdym

still temple
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split the unit circle into eighths

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figure out which of the four angles lies in the eighth containing B

graceful nacelle
#

it is in 5/8

still temple
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5/8 isnt a choice

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but yes, it is in the fifth eigth

graceful nacelle
#

i mean it is in number 5 of the 8

still temple
#

yes

graceful nacelle
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7pi/8

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that makes sense thanks

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what

still temple
#

yeah you are right

graceful nacelle
#

yeah

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it was correct

still temple
#

nice

graceful nacelle
#

.close

marsh citrusBOT
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marsh citrusBOT
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cloud kettle
#

If a function is defined wrongly, that is I get $$Range \nsubseteq Codomain$$, is it still a function?

elfin berryBOT
#

Calamity

still temple
#

no

cloud kettle
#

Alright, thankyou!

still temple
#

if an object doesn't satisfy the function definition, it is not a function

cloud kettle
#

Oh okay!

#

.close

marsh citrusBOT
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barren lance
#

so I will explain the context first, he called it the magical square and u basically need to make a square where every row column and diagonal sums up to 15 and he did it by the making the set of sets which has the numbers that sums up to 15 and the question was to fill in the magical square

barren lance
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he said the letter e has 4 lines through it so there must be a number in the sets of set which occurs 4 times and after that he did 1 I also understood that because that must be a nubmer that occurs 2 times

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then he went to the number 8 and it needs to occur 3 times but also it has to be within a set of the number 1

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and I don't understand why it had to be in the set of number 1

marsh citrusBOT
#

@barren lance Has your question been resolved?

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storm imp
marsh citrusBOT
storm imp
#

Need help

quasi minnow
#

AM>=GM

storm imp
#

BRO CHATGPT ANSWER IS NOT IN MCQd

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mcqs

#

Someone helppp

twilit grove
storm imp
#

k

fathom ridge
#

You're better off asking a monkey for math help

brittle delta
fathom ridge
#

Are integers not numbers

brittle delta
fathom ridge
#

I still fail to understand the point

brittle delta
#

the answer that AM GM gives is third root of 144

storm imp
#

the solution key came in clutch

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it came as 75

fathom ridge
#

You can just take the integral part of the third root

brittle delta
fathom ridge
#

The AM-GM inequality will just give you a bound lol

marsh citrusBOT
#

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distant peak
#

I'm having a brain fart, I forgot how to bound this type of integral :
$\int_a ^b x^{\alpha -1} e^{-x} \lvert \phi_n (x) - \phi(x) \rvert dx$ with $\phi_n \to \phi$ uniformely

elfin berryBOT
#

Herels

distant peak
#

if someone can help me remember

marsh citrusBOT
#

@distant peak Has your question been resolved?

azure pier
#

whatever that doesn't matter (though if [a, b] contains 0 then it's better to have alpha < 0)

distant peak
azure pier
#

alright

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then I guess you can say $$\int_a^b x^{\alpha -1} e^{-x} \lvert \phi_n (x) - \phi(x) \rvert dx \leq ||\phi_n - \phi||_{\infty} \int_a^b x^{\alpha-1} e^{-x} dx$$

elfin berryBOT
distant peak
#

oh 🤔

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I thought there would be (b-a) ||phi_n - phi||

azure pier
#

you mean an extra (b - a) factor?

distant peak
#

yea

azure pier
#

here we're still integrating something which is not 1 so it doesn't appear

distant peak
#

Since you would need to bound gamma(alpha) there too nah ?

azure pier
#

we're just using the fact that if f <= g then \int_a^b f <= \int_a^b g

distant peak
#

hmm

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wait its not gamma

azure pier
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it is gamma

distant peak
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the bound

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it goes from 0 to inf

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to be gamma

azure pier
#

yes of course but we can bound this by gamma(alpha) since x^alpha-1 e^-x is positive

distant peak
#

ah yes true

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I've reduced the bounds to a and b cuz I wanted to bound an integral from 0 to inf

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so I made the supposition that we work on a compact set

azure pier
#

hmm right

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well if the integral converges then this rule also applies (the limit preserves large inequalities)

distant peak
#

okk thx

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.close

marsh citrusBOT
#
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azure pier
#

np :)

marsh citrusBOT
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smoky terrace
#

is there something like peano's axioms but for rationals or maybe even reals?

still temple
smoky terrace
#

Ok

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.close

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smoky terrace
still temple
smoky terrace
#

ok

#

thanks

marsh citrusBOT
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mellow willow
#

How do I become an expert at integrals, I know I need to practice so Im wondering whether someone has a file that has a list of integrals from easy to hard and any tips are appreciated

distant peak
#

Bluepenredpen video marathon

mellow willow
#

Where do I find that

distant peak
#

youtube

mellow willow
#

Oh this 5 hour one

distant peak
#

have fun

mellow willow
#

This is perfect

#

Thank you

#

.close

marsh citrusBOT
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bitter tulip
#

Let $f: \mathbb{R}\to\mathbb{R}$ be a function as $f(x) = (x-1)(x+2)(x-3)(x-6)-100$. If $g(x)$ is a polynomial of degree $\le 3$ such that $\int \frac{g(x)}{f(x)} dx$ does not contain any logarithm function and $g(-2) = 10$. Then the minimum value of $f(x)$ is

elfin berryBOT
#

lmaowhat

bitter tulip
#

All I was able to do till now was factorize it

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$$t = (x-1)(x-3) = x^2-4x+3$$
Then $$(x-1)(x+2)(x-3)(x-6)-100 = t(t-15)-100 = t^2-15t-100$$
$$= (t-20)(t+5) = (x^2-4x-17)(x^2-4x+8)$$

elfin berryBOT
#

lmaowhat

bitter tulip
#

Now what?

#

I can't seem to use the information provided in the question

marsh citrusBOT
#

@bitter tulip Has your question been resolved?

bitter tulip
#

<@&286206848099549185>

marsh citrusBOT
#

@bitter tulip Has your question been resolved?

marsh citrusBOT
#
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marble glacier
#

why is the bounds in polar coords pi/2 ?

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#

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round magnet
#

I don't understand how my teacher rewrites the expressions, such as:
3 - 2 * ( 8 - 2 * 3 ) = -1 * 8 + 3 * 3
and the rest

round magnet
#

generally just how he rewrites all the expressions

amber ruin
#

lol isn't it wrong