help-23

[brave wolf]

you can compare it with your work and find your mistake

(also, don't forget to divide the diameter by 2, and when putting it to the equation, square the radius)

[earnest tree]

alrighttt, thank youu :')))

.close

[safe radish]

Channel closed

Closed by @earnest tree

Use .reopen if this was a mistake.

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.

[jagged spruce]

Question regarding Kolmogorov's theorem about laws of large numbers and theorem about martingales.
I researched a bit on my own but I want hint or confirmation I am going in right way.
I found I need:

• obviously ones in topic of question,
• theorem about convergence of martingales,
• borel-cantelli lemma,
• theorem about 3 ranges of kolmogorov,
• chebyshev inequality,
• theorem about convergence of martingales (Doob's),
• theorem about expected value,
• random valubes
• independent random variables
  What sort of definitions, theorems, lemma and perhaps examples i should/could use showing connections between martingales about laws of large numbers? Are those enough or am I missing something?

[safe radish]

@jagged spruce Has your question been resolved?

[jagged spruce]

<@&286206848099549185>

[dreamy veldt]

You can also try using the topic chanels

[jagged spruce]

Yeah, I tried my chances in probability channel with no response, so since I just need a reasurence that I am going right way, I thought to ask here.

[safe radish]

@jagged spruce Has your question been resolved?

[tropic sonnet]

.

[safe radish]

@jagged spruce Has your question been resolved?

Channel closed

Closed by @jagged spruce

Use .reopen if this was a mistake.

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.

[compact egret]

Can someone please explain to me in simple terms why some series that as they increase get close to 0 still diverge? Series like 1/n, sqrt n/n

[brave wolf]

What reason do we have to believe that all series whose terms approach 0 converge? Why should adding infinitely many terms, although close to 0, result in some finite value?

[peak estuary]

they just dont get to zero "fast enough"

[compact egret]

i mean aren't they convergent if after a certain number of terms the distance between any 2 terms is smaller than epsilon

or do i have it wrong

[brave wolf]

this sounds more like convergence of sequence

[compact egret]

ohhh

yeah I'm learning these to retake an exam that i failed so i'm kinda lost through them

[brave wolf]

series converges iff the sequence of its partial sums converges

[compact egret]

I was doing the comparison with a limit criterium and couldn't understand why bn being 1/n or sqrtn/n would result in divergence

[brave wolf]

integral test might be a good option for 1/n

and sqrt(n) / n >= 1/n, so once you find out that 1/n diverges, this can be done by comparision

[compact egret]

i see

[brave wolf]

in general, 1/n^p converges only for p > 1

[compact egret]

i think i kinda get the gist of it now more or less.. I guess you start recognizing them more easily with practice

[brave wolf]

and diverges for p <= 1

[compact egret]

okay, thank you

.close

[safe radish]

Channel closed

Closed by @compact egret

Use .reopen if this was a mistake.

[safe radish]

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.

[hollow burrow]

angle ABC = 0.5 into what ?

[hollow burrow]

the website says(ADC-AC)

i think it's wrong

isn't it?

[thin bridge]

can you take a pic of waht the site is saying

[hollow burrow]

help a brother out😔

[thin bridge]

wait

yeh, looks wrong

[hollow burrow]

yeah

correct it

i'm noting

[cunning pasture]

oh

[hollow burrow]

and now i'm confused

cuz ik it's wrong

[cunning pasture]

is it to be corrected?

[hollow burrow]

idk what it will be tho

yeah

like i'ma write the right thing down

in my notebook

or i cri

[cunning pasture]

≅

[limber shore]

nice sign

[thin bridge]

the stuff they wrote doesn't match their colouring

look up outside angles theorem, circle

[cunning pasture]

I mean we can completely alter it, can't we?

[thin bridge]

for that one, looks like they mixed up the positions of points A and B

and for the next one they mixed up the positions of D and E

[hollow burrow]

please do

just tell me what's angle ABC

[hollow burrow]

is ADC - AC possible?

😭

[thin bridge]

yes

with those adjusments yes

[hollow burrow]

thanks G

:3

the last one?

[thin bridge]

is fine,

the last three are pretty much applying the same thing

[hollow burrow]

thanks < 333

mhm

[thin bridge]

look up outside angles theorem, circle

[safe radish]

@hollow burrow Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

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.

[keen fractal]

whats the difference between this ∈ and the other one that has a line under it

[calm sphinx]

That E thing means belongs to

[calm sphinx]

This means is subset or equal to

[shadow verge]

The symbol here means (belongs to) or (element of)

Whereas the symbol in image means (is a subset of)

[calm sphinx]

Or equals to

Line under

[shadow verge]

It means subset of

I haven't said proper subset

[brave wolf]

E.g.
1 ∈ N, pi ∈ R, 3/4 ∈ Q
N ⊆ Z, Z ⊆ Q, Q ⊆ R

[calm sphinx]

Ur just making it hard for him to understand

[brave wolf]

if you have a bag of marbles, then each marble is an element of the bag (∈), on the other hand if you take another bag and put copies of some of the marbles from the first bag in there, the new bag is a subset of the original bag (⊆)

[brave wolf]

subset usually means subseteq

[safe radish]

@keen fractal Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

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.

[shadow verge]

They mean to accelerate it

[median vigil]

well those would be the same amount of force either way

[safe radish]

@hasty mason Has your question been resolved?

Channel closed

Closed by @hasty mason

Use .reopen if this was a mistake.

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.

[limpid vine]

why are these triangle similar i know the answer is 80

[gritty kindle]

because they have a side in common (CB) and two angles in common

oh yeah similar, not congruent

[limpid vine]

how?

[cedar void]

they are congruent too

[limpid vine]

wait we dont know the angles though

[limpid vine]

i think i meant to say congruent not similar

[cedar void]

side lenghts are all same

[gritty kindle]

assuming CD and AB are parallel lines, the line CB will produce the same angles

[limpid vine]

we only see 2 sides are equals how do we know the 3rd is equal

[cedar void]

it is common in both the triangles

[limpid vine]

we arent given this information

[limpid vine]

oh yeah im stupid

so sss is congruency

[cedar void]

yeah

congruency implies similarity too

btw

[limpid vine]

what does congruency and similarity mean

is congruency that they are similar

i mean equal

and similar is like same ratios

[cedar void]

two triangles are similar if all of their angles are equal

[limpid vine]

oh

[cedar void]

two triangles are congruent if they have all angles equal and all sides equal too

[limpid vine]

ok yeah thanks

[safe radish]

@limpid vine Has your question been resolved?

Channel closed

Closed by @limpid vine

Use .reopen if this was a mistake.

[safe radish]

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.

[limpid cosmos]

I need help

[limpid cosmos]

Not for a quiz or test

I am incredibly bad at math and need someone to break this down step by step please

[violet stratus]

So there is an equation and you can do the same modifications to the both sides: First try to multiple both sides by 3 to get rid of division

[violet stratus]

After multiflying please let me know what do you find as result

[safe radish]

@limpid cosmos Has your question been resolved?

[pastel citrus]

Stil need help?

[tame oar]

Multiply both sides by 3 to get $y+1 = -15y-15$

[flat frigate]

747244351179980930

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[limpid cosmos]

No thank you thanks for the help

[safe radish]

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.

[glad yacht]

9 Please

[safe radish]

@glad yacht Has your question been resolved?

[glad yacht]

Table

[safe radish]

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 was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

[glad yacht]

4

[safe radish]

@glad yacht Has your question been resolved?

[glad yacht]

<@&286206848099549185>

[lean otter]

What is the issue?

[safe radish]

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

[glad yacht]

Above

[lean otter]

this one?

[glad yacht]

Yes

[lean otter]

number 9, lets see

ok

So for 9a: they ask what is the toll for entering at exit 8 and leaving at exit 15?

Do you have an idea on how to start this?

[glad yacht]

Im rpetty sure its using Exit 8 to ten and then 10 to 15 but Im not confident what proeprty that would be

[lean otter]

well

add the tolls together

[glad yacht]

1.25$

[lean otter]

you did (price of 8 + price of 10) + (price of 10 + price of 15)

yes

so that is the first part of 9a

now

you have to find equivalent amounts

where tolls of entrance and exit = $1.25

so

what tolls get $1.25 as a total?

[glad yacht]

1:00$ + 0.25$

[lean otter]

what other tolls

there are 2 others

well, another pair of tolls that is

[glad yacht]

0.50$

[lean otter]

thats 1 part

what about the other part to make $1.25

[safe radish]

@glad yacht Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[safe radish]

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.

[dusk mirage]

How do you find the piecewise function for this graph:

[safe radish]

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 was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

[dusk mirage]

2

[tardy mango]

What have you done so far?

[dusk mirage]

I know one of the functions is a square root function but im not sure about the others

One equation is square root of x + 1 ; x > -1

[tardy mango]

The other one looks like a rational function

Specifically, some transformation of 1/x

[dusk mirage]

Oh ok then what abt the one in the middle

[vapid cypress]

i believe that is part oof the fxn on the left

x = -3 is a vertical asymptote

for the fxn

[dusk mirage]

Ohhhh that makes more sense

[vapid cypress]

smtg like 1/x+c

[dusk mirage]

I thought that was a separate function

Thank you so much!!!!

[safe radish]

If you are done with this channel, please mark your problem as solved by typing .close

[dusk mirage]

.close

[safe radish]

Channel closed

Closed by @dusk mirage

Use .reopen if this was a mistake.

[safe radish]

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.

[nova vapor]

In line 3, why do they halve the coeficient

[thorn cobalt]

they halve the coefficient in order to complete the square

[nova vapor]

Why do they need to cpmplete the square

[thorn cobalt]

to rewrite the equation in standard form so that p can be solved for (equated to r)

[nova vapor]

Oh ok

[nova vapor]

So then in the next step why does x^2 become just x

[thorn cobalt]

They probably factored it

I feel like this solution is missing some parentheses

so like (x+7p)^2 would equal to x^2+14px+49p^2

[nova vapor]

Yeah I get that part

But then wouldn't it have to be x^2+7p^2

And why did the 9p^2 become 3p^2

[thorn cobalt]

likely because missing parentheses

9p^2=(3p)^2 = r^2, thus 3p=r

[nova vapor]

Ok

So if I encounter this kind of problem again i just do exakly the same thing as the explanation?

[thorn cobalt]

i mean if the problem is exactly the same format, sure

[nova vapor]

ok

[thorn cobalt]

make sure you understand why you’re doing these steps tho

[nova vapor]

Can you also help me with this

[thorn cobalt]

makes it easier to apply to other questions especially similar but not the same ones

[nova vapor]

yeah I understood everything up until the part where you said they're prob missing parenthesis

Thanks

[thorn cobalt]

ok, give me some time to do it first

[nova vapor]

Go ahead, take your time

[thorn cobalt]

ok so

f(-9) equals f(3)

you can just plug in these x values for f(x) and equate them to solve for a

then they give you that it has a vertex at (h,k) and k<0

so you then convert the equation into vertex form

f(x)=a(x-h)^2+k iirc

[nova vapor]

How do I solve for a if c is still a variable

[thorn cobalt]

c cancels out when you equate the two functions

since its a constant not a coefficient

[nova vapor]

Ohhh ok

[thorn cobalt]

anyway

to solve for h

im not too sure on what that equation is

something like -b/2a

[nova vapor]

Wait what do I do after this

[thorn cobalt]

plug in the known values (a is 2/3 btw)

[thorn cobalt]

to this

[nova vapor]

Oh oops

[nova vapor]

I do this for both -9 and 3?

How did you get 2/3 😭

Sorry I'm rlly struggling with this

[thorn cobalt]

remember -9 is squared, not multiplied by 2

[nova vapor]

Yes

Then it would be 81 right

and then 81a-9a=72a

and now 72a=48

Wait omg

Oops

[thorn cobalt]

mhm

[nova vapor]

What is -b

[thorn cobalt]

-b is -4

[nova vapor]

Oh righht

[thorn cobalt]

so solving for h, its -4/4/3

[nova vapor]

mhm

[thorn cobalt]

which is 3

[nova vapor]

Yes

So then

f(x)= 2/3 (3+3)^2+k

2/3 (36)?

which is

24

so k =-24?

And the vertex qeuals to (-3,-24)

[thorn cobalt]

wait not so fast

[nova vapor]

But how would that help with the answer

ok

[thorn cobalt]

set the vertex form equal to the original form

using x=3 or -9

[nova vapor]

Do I include c

[thorn cobalt]

yes

[nova vapor]

ok

[thorn cobalt]

remember to write k as an unknown btw

[nova vapor]

alr

[thorn cobalt]

24 shouldn’t be negative

[nova vapor]

ok

Now what

[thorn cobalt]

18+c=24+k -> c-6=k

[nova vapor]

yes

[thorn cobalt]

k<0, so c-6<0 -> c<6

thus c isn’t necessarily less than 0

[nova vapor]

Okok

[thorn cobalt]

which means both i and ii are wrong

[nova vapor]

Ohhhhhh

Omg thanks so much

[thorn cobalt]

Np

[nova vapor]

Ok yeah now that I'm looking at some of these explanations theyre missing parenthesis

Which I didn't earlier some how

[safe radish]

@nova vapor Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

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.

[safe sparrow]

Could anyone help understand this notation, I understand just negate the statement but some of the notation confuses me

[safe radish]

@safe sparrow Has your question been resolved?

[safe sparrow]

<@&286206848099549185>

[acoustic drift]

sorry i dont know

[safe radish]

@safe sparrow Has your question been resolved?

[safe sparrow]

.close

[safe radish]

Channel closed

Closed by @safe sparrow

Use .reopen if this was a mistake.

[safe radish]

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.

[patent topaz]

Could anyone explain why A^T . A has to be invertible and well conditioned for the normal equation? (And the connection with eigenvalues)

[empty gyro]

It does? What if A=0?

[patent topaz]

I am not sure, I'm specifically referring to this slide

Point 1: A^T A should be invertible makes sense

But Point 2 and Point 3 I don't have the intuition for

[fathom adder]

https://math.stackexchange.com/questions/158219/is-a-matrix-multiplied-with-its-transpose-something-special

I found this, but its not directly linked to normal equation

[patent topaz]

I may have overlooked something but it doesn't seem particularly helpful, can you give a specific section there?

[toxic stratus]

i mean invertibility of A^T A is all you need to solve the equation for u and v

but in life, you'd want to be able to numerically calculate these things using a computer or something

[safe radish]

@patent topaz Has your question been resolved?

[toxic stratus]

the other two conditions are just saying that if the eigenvalues are too small or far apart in magnitude, you might not get good numerical results

[patent topaz]

are there any chapters i can read to better understand the other two conditions?

thanks btw!

[toxic stratus]

uh, well it's facts from linear algebra

so learn linear algebra i guess

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

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.

[thorn cobalt]

How to find the maximum for this expression: (24+12sin(x))(2cos(x))

[thorn cobalt]

I found the derivative to be 48cos(x)+24sin(x)cos(x) and set the equation to zero but got pi/2, which, when plugging back in gives 0

which is not the maximum of that expression

[quick crater]

isnt 48cos(x)+24sin(x)cos(x) just the expansion of it?

[thorn cobalt]

wait

ok yeah let me solve it again

I got -48sin(x)+24cos^2(x)-24sin^2(x)

oh that's just correct

nvm

.close

[safe radish]

Channel closed

Closed by @thorn cobalt

Use .reopen if this was a mistake.

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.

[sinful wyvern]

Guys, do we not include the negative for b?

[vale oriole]

its being squared

it wont matter as it will turn out positive

$[-(k+2)]^2 = (-1)^2 * (k+2)^2$

[flat frigate]

Galaxy

[sinful wyvern]

Ohhhh

Okok thankssss

.close

[safe radish]

Channel closed

Closed by @sinful wyvern

Use .reopen if this was a mistake.

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.

[storm ice]

very quick question for my sleep deprived brain

[storm ice]

is it possible to do log 7 right away and what would that look like?

like i get that you want to add exponents in LHS together so you get 7^1/2 = 7^x

7 log and then 1/2 = x

but is it possible to do it another way?

[eternal carbon]

you could, but you would be effectively doing the same thing

[storm ice]

what would that look like then? because i did kinda try that route without success hence the asking

because i 7log the entire LHS and entire RHS right?

so i get

[eternal carbon]

log(7^(-/2) * 7^4) = log(7^x)

use log(ab) = log(a) + log(b)
log(7^(-7/2)) + log(7^4) = log(7^x)

use log(a^b) = blog(a)
-7/2 + 4 = x

1/2 = x

(all these logs have base 7)

[storm ice]

oh so

hm

but this is the correct interpretation so far?

or you never take it up in the exponent it seems like

so you're saying like this then?

so if I have e^x = 5

i do ln ( e^x) = ln (5)

not ln ^ (e^x) = ln^5

not sure why i raise it to the power then

nvm im stopid i guess

.close

[safe radish]

Channel closed

Closed by @storm ice

Use .reopen if this was a mistake.

[safe radish]

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.

[timid flume]

help me

@helper

<@&286206848099549185>

[lean otter]

Mitochondria is the power house of the cell

[frozen marlin]

please do not post spam.

[safe radish]

@timid flume Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

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.

[timber karma]

Given that the radius of the small circle is 1, find the area of the shaded region (there are 6 small circles total and 1 big circle)

[timber karma]

and the two circles next to one circle intersect at the circle's center

i got that the radius of the big circle is sqrt(3)

okay so now i got the area of the flower looking thing in the middle to be 2pi - 3sqrt(3)

got it

.close

[safe radish]

Channel closed

Closed by @timber karma

Use .reopen if this was a mistake.

[safe radish]

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.

[elder cypress]

what is this notation

[elder cypress]

the subscript and superscript

on 1/2

[safe radish]

@elder cypress Has your question been resolved?

[safe radish]

@elder cypress Has your question been resolved?

[elder cypress]

<@&286206848099549185>

[wind laurel]

could you provide with a source to where you found this

[elder cypress]

Wait

https://en.m.wikipedia.org/wiki/List_of_formulae_involving_π

Check the "other infinite series" section

The screenshot is of the series involving rising factorials

[safe radish]

@elder cypress Has your question been resolved?

[scenic dove]

that answers the question doesn't it

the subscript is the rising factorial, the superscript is just "to the power of two"

[elder cypress]

Why would they write 1/2 to the power of two

And not 1/4

Or is the square after the rising factorial

[scenic dove]

i believe so, yes

[elder cypress]

Ok

Thank you

.close

[safe radish]

Channel closed

Closed by @elder cypress

Use .reopen if this was a mistake.

[safe radish]

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.

[ruby delta]

I need help with a soroban addition problem.

103 + 48 + 74

I know addition is commutative, but I cannot get to the answer if I do (103 + 48) + 74 instead of (103 + 74) + 48.

I appreciate if you could send me a video showing how to move the pieces in this case 🙏

[safe radish]

@ruby delta Has your question been resolved?

[pastel citrus]

Do you need help with the commutative property or the puzzle?

[ruby delta]

the puzzle

[safe radish]

@ruby delta Has your question been resolved?

[safe radish]

@ruby delta Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

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.

[potent pilot]

What method has been used here with the lambdas and mu's? I think I've done it a valid (different) way but no idea whats going in the model answer

[potent pilot]

like why would you write A^2 as λA + μI

[peak estuary]

they previously figured out that you can write A^(k+1) with A and A^2

so if you can write the A^2 in terms of I and A, you are done

[potent pilot]

Ohh ok thanks

.close

[safe radish]

Channel closed

Closed by @potent pilot

Use .reopen if this was a mistake.

[safe radish]

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.

[jovial sentinel]

how does he go from 3pi/2 to 5pi/6

[mossy fractal]

Those are two different questions

[jovial sentinel]

so which is right?

or are they both

because i got 3pi/2 & pi/6

[mossy fractal]

For which part?

You have sinx = -1 and sinx = 1/2

Both are solutions to the original problem

[jovial sentinel]

then whats 5pi/6

[mossy fractal]

That is also a solution to it

[jovial sentinel]

how

[mossy fractal]

Do you know the property that sin(x) = sin(pi - x)?

[jovial sentinel]

what property is that

[mossy fractal]

Or at least when you solve a sin problem you get the first solution x from doing arcsin and then you can do combinations of plus and minus 2pi along with pi - x to get every other solution

[lime dust]

?

How did u get 3pi/2 as a solution to the equation?

[mossy fractal]

Sinx = -1

[lime dust]

,w tan(3pi/2)+sec(3pi/2)=2cos (3pi/2)

[flat frigate]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by _arkimond_

[lime dust]

Am i missing something? I might i am about to sleep

[jovial sentinel]

is sine not 3pi/2?

[lime dust]

Give me a sec

[mossy fractal]

Oh wait yeah

Plugging it back into the original equation won’t work

[lime dust]

Nice so I wasnt tripping

Gonna sleep now, u finish

[mossy fractal]

Whenever sinx is -1 cosx is 0

So only the solutions to sinx = 1/2 work

[jovial sentinel]

so 5pi/6 doesnt work?

[mossy fractal]

Well that isn’t a solution to sinx = -1

It’s one of the solutions to sinx = 1/2

So it will work

None of the solutions to sinx = -1 will work

[jovial sentinel]

why is that

[mossy fractal]

Because any solutions to sinx = -1 are solutions to cosx = 0

[jovial sentinel]

still confused

[mossy fractal]

And there are cosx terms in the denominators of that equation

What happens when you try and evaluate secx at an x value where cosx is 0?

[jovial sentinel]

asymptote right

undefined

[mossy fractal]

Yeah

[jovial sentinel]

ohh

so plugging it back in wont work = not solution

[mossy fractal]

Yeah basically

Since technically you are only solving the equation that you get after multiplying both sides by cosx

You would have to divide both sides of the equation you solved by cosx to get back to the original equation

And so any solutions to the original equation would have to be a solution of the equation you just solved and each solution would also have to be one where cosx isnt 0, otherwise you are dividing by 0 to get back to the original equation

[jovial sentinel]

oh i see

thank you

.close

[safe radish]

Channel closed

Closed by @jovial sentinel

Use .reopen if this was a mistake.

[safe radish]

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.

[pure garnet]

alguien que hable spanish?

[pure garnet]

bot

[hard crest]

umpoco, manda su cuestion

[safe radish]

@pure garnet Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

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.

[radiant pebble]

could someone please tell me why? and how can i tell that i should do this?

[empty gyro]

what sre you not understanding by chance?

[radiant pebble]

why 2 is factored out

so we can simplify yeah but how can i tell? i got alot of my practice questions wrong because of this part

[empty gyro]

$-10=2\cdot(-5)$ and $2\sqrt{5}=2\cdot\sqrt5$, so $-10+2\sqrt{5}=2\cdot(-5)+2\cdot\sqrt5$ and because both expressions have a 2, you can factor it out and just add $-5$ and $\sqrt5$

[flat frigate]

SWR

[radiant pebble]

so I'll just look for factors?

[empty gyro]

yup

[radiant pebble]

okay okay thank you

.close

[safe radish]

Channel closed

Closed by @radiant pebble

Use .reopen if this was a mistake.

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.

[hard turtle]

can anyone solve this for me please?

[quick crater]

uh doesent that mean $\frac{x^2-a^2}{x-a}=10$ or am i stupid

[flat frigate]

Skill_Issue

[safe radish]

@hard turtle Has your question been resolved?

[hard turtle]

NO I WAS DUMB

ITS a = 5

OIAJIARJIAJIR

THANK U THO

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

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.

[dense void]

What to even do from here

,rotate

[thin bridge]

use the given point

[dense void]

U can’t find equation of line with just -4,0

[thin bridge]

you have the derivative

[dense void]

What about the derivative

[thin bridge]

well why did you even differentiate?

[dense void]

Cause it’s a differentiation paper

[thin bridge]

do you know the relation between derivatives and slope

[dense void]

Meh

Oh wait

Is the equation of the lines gradient

The derviavte

[thin bridge]

its known as the gradient function

you can use that to determine the slope at your point

[dense void]

Got it

.close

[safe radish]

Channel closed

Closed by @dense void

Use .reopen if this was a mistake.

[dense void]

.reopen

[safe radish]

✅

[dense void]

@thin bridge got the answer…

Idk how I didn’t know how to do at first

[thin bridge]

np. should always try to apply basic definitions/properties

[dense void]

.close

[safe radish]

Channel closed

Closed by @dense void

Use .reopen if this was a mistake.

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.

[buoyant cedar]

If possible could I get help on this question

[pure agate]

What have you tried?

[safe radish]

@buoyant cedar Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

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.

[rain dagger]

whats this function

[rain dagger]

whats the bar x=x0

[mossy lotus]

the bar means it is evaluated at a specific point x = x0

[rain dagger]

ty

.close

[safe radish]

Channel closed

Closed by @rain dagger

Use .reopen if this was a mistake.

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.

[quick crater]

shadow D:

[tropic charm]

yeah mb the light was like really weird

[hollow patrol]

Have you found smt already?

[brave wolf]

Hint:

[tropic charm]

i split it into 4 triangles idk if u can see it that well

[brave wolf]

split it into more triangles

[tropic charm]

wait how do u know theyre all equal?

[quick crater]

midpoints with midpoints with midpoints

[brave wolf]

this, plus symmetry of the construction

[quick crater]

thank god you brought this up lmao

i was thinking finding blue then red then area lmao

[brave wolf]

Btw, if you want to prove that all of the triangles are equal, focus on one of the purple triangles. Since the whole shape is a regular hexagon, the purple triangle must be equilateral (equal sides)

and if you ccan prove that all the triangles inside it are congreunt, then by symmetry it extends to every other triangle

and to actually prove it, just look at the midpoints, look for parallel lines and maybe few angles

the whole thing is so symmetrical that there are thousands of ways to prove it

[hollow patrol]

Also, we could find the size of triangle's side form formula S = sqrt(3)/4 * a^2
This side should be average of hexagon's side and hexagon's diagonal (which is twice bigger than it's side), so we can calculate hexagon's side b
Finally there is formula for finding area for arbitrary polygons with polygon side b and amount of sides n (in our case, 6 sides): S = (n * b^2) / (4 * tan( 180degree / n))

But graphical solution like@brave wolf give is way more convenient😅

[tropic charm]

wait im kinda dumb i dont rlly understand the midpoint thingys 😭 if u could kinda explain it a bit that would be great

@brave wolf ?

[brave wolf]

I'm back

[brave wolf]

it tells us that the vertices of triangle are at midpoints of the sides

hence the green and blue sides must be the same

But we also know that yellow-green angle and orange-green angle are 60°

that's again more or less by construction

same for purple-light blue and dark blue - light blue angles

and yellow, orange, purple, dark blue are also of same length

hence those 2 small triangles are equilateral and furthermore congruent

It's hard to explain it because i cant explicitly point at lines and stuff, and there is not that many colors to color everything

[tropic charm]

how do we know yellow and purple are parallel?

[brave wolf]

there is a trapezium hidden

right here

we know that the purple sides are equal, and orange angles too

[tropic charm]

i think i get it a bit but dou thinku could help me with one more?

<@&286206848099549185> ?

<@&286206848099549185> ples

[safe radish]

@tropic charm Has your question been resolved?

[tropic charm]

<@&286206848099549185> plese its due soon

and im a bit stuck

[inner frigate]

6^8?

It's probably incorrect tho

[tropic charm]

that seems like way toomany

because theyre duplicates

[left gyro]

take a look at this triangle

you can see it singles out a corner of the cube, right?

[inner frigate]

20?

[left gyro]

for what

[inner frigate]

Answer

[left gyro]

this alone has 24

so no

[inner frigate]

120?

[left gyro]

are you guessing

[inner frigate]

No

[left gyro]

where's 120 from

[inner frigate]

I was counting

[tropic charm]

yeah

[left gyro]

how many corners are in a cube?

[inner frigate]

8

[left gyro]

let dice speak

[tropic charm]

8

[left gyro]

so if each corner has a face-diagonal triangle that would single it out,

[inner frigate]

I was also trying to solve it 😦

[left gyro]

this isnt your channel

[inner frigate]

Sowwy

[left gyro]

[left gyro]

and there are 8 corners,
how many face-diagonals are there?

[tropic charm]

12?

[left gyro]

how does it turn from 8 to 12?

[inner frigate]

I think you mean cube diagonals

Face diagonals would be 12

[left gyro]

Im naming the triangles by the name that goes along with them

[left gyro]

how many three-face-diagonal triangles are there?

[inner frigate]

@tropic charm

[tropic charm]

ye im trying to look at it rn

[tropic charm]

would there be 1 for every corner?

[left gyro]

yea

[tropic charm]

are there any more than 1 per corner?

[left gyro]

lets consider how that would be possible

can you draw a second one that hasnt already been counted?

[tropic charm]

you can go diagonally across the base and back up either way for 2?

[inner frigate]

🤦🏻‍♂️

That wouldn't single out a corner tho

[tropic charm]

dont they all use corners?

[inner frigate]

We are talking about 1 corner

Can you find any more triangles which single out that corner?

@left gyro where you at bruv?

[left gyro]

if you want to continue with dice, go continue, theres nothing stopping you

[tropic charm]

wdym by single out? cause they all use corners mb im a bit dumb

[inner frigate]

No I don't have enough braincells that I could help him

Im the typa guy who counts in the math problems

@left gyro help @tropic charm bruh

[left gyro]

Im busy helping someone else

you got this

[left gyro]

you mean this?

[tropic charm]

from the same corner thats shown diagonally across

[left gyro]

thats not a yes or a no

that doesnt mean anything either

[tropic charm]

no

[left gyro]

draw in the three corners that you are using as the vertices of the triangle for me

[left gyro]

those were already counted

they single out the lower-left corner and the lower-right corner

do you know what I mean by "single out a corner"?

[tropic charm]

yeah i think thats wjhat im confused abt

[left gyro]

then why did you say "yes" to this?

it doesnt help if youre lying

[tropic charm]

i think i misunderstood what you were asking

mb, what is it meant to mean

[left gyro]

this triangle has a front and a back, right?

the yellow point is in front of the triangle

the blue points are behind the triangle

the red points are on the side of the triangle

do you understand?

[tropic charm]

yeah

[left gyro]

you need to reply to the correct message

its easier to not need to reply to a specific message

[left gyro]

one point is in front of this red triangle

if I choose this triangle, you can color in the points the same way

[tropic charm]

but theres only one such triangle for each of the points

right

[left gyro]

yes

[tropic charm]

i think i understand this one now but theres still 2 more

[left gyro]

the next one should be easier

this wants you to use two edges

then to connect them with a face diagonal

to form a triangle

this kind of triangle is flat on the face

[tropic charm]

oh that should just be 12 right

[left gyro]

youre forgetting the other direction

its 24

[tropic charm]

oh yeah

so we have 8+24 and then we need the last one right

[left gyro]

yes

you can think of this triangle as having an edge base and a vertex tip

[tropic charm]

so is there an easy way to tell how many there are?

[left gyro]

lets keep going

for an edge base, there are two vertex tips that are possible

now how many edges are in a cube?

[tropic charm]

12

[left gyro]

each edge can work as a base of the triangle

each edge has two corners it can use as the tip of the triangle

yes?

[tropic charm]

yeah

[left gyro]

so how many triangles total?

[tropic charm]

24?

[left gyro]

yes, 12 times 2

now add all three counts together

[tropic charm]

so the answer is 56?

[left gyro]

yes

[tropic charm]

i think i get it

tysm 🙂

[left gyro]

np

[tropic charm]

.close

[safe radish]

Channel closed

Closed by @tropic charm

Use .reopen if this was a mistake.

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.

[sinful wyvern]

guys how am i wrong?

[spice furnace]

so your solution is on the left?

[lean otter]

(2sqrt(5))^2 is not 50

[hard crest]

1.65 is also not an exact solution, and neither is -4.82

those are approximatinos

[thin bridge]

4sqrt(2) * 3sqrt(2) isn't 24sqrt(2) either

[sinful wyvern]

yes

[sinful wyvern]

ohhhh i miscalculated it

[sinful wyvern]

oooo okayokay

[sinful wyvern]

my calculator won't give me an answer with square roots 😭 i think it might be bcs of some miscalculations

i'm gonna fix it first

[hard crest]

i think you're expected to simplify it by hand

or tbh not simplify it

[sinful wyvern]

i don't know how to deal with square roots

[thin bridge]

try fix those mistakes mentioned first

[sinful wyvern]

okaayy

thankyouuu everyoneee for ur help

[lean otter]

np

[covert cove]

i dont get the theorm involved w this

[safe radish]

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

@sinful wyvern Has your question been resolved?

[sleek sail]

bro in this 2^1/2 * 2^1/2 = 2 and wht u have gotten in x1 and x2 respectively are just approximations

[icy charm]

help me with sets pls

[sinful wyvern]

This is the one on the mark scheme

[thin bridge]

why is there a + for the sqrt(10) in your x_2

[sinful wyvern]

Is it the negative?

-sqrt(22)?

[thin bridge]

not what i asked

what exactly are you doing after

[sinful wyvern]

Ok here’s what i fixed

[thin bridge]

ok, i suppose that works

[sinful wyvern]

For the x2, does the negative means the whole thing is being times with negative?

[thin bridge]

if you're writing the - sign outside like that,

yes

[sinful wyvern]

Like -sqrt(22) and -sqrt(10) over -2

[thin bridge]

no

multiple to one of the numerator or denominator if you want to distribute it
not both

[sinful wyvern]

Ohhh

[inner frigate]

We doing quadratic? Damn I remember grade 7

[sinful wyvern]

Ohhh so if multiply with numerator, the sqrt(22) will be negative, and sqrt(10) will be negative too?

[thin bridge]

yes

[sinful wyvern]

Yeaah quadratic

[sinful wyvern]

Ohhh okk soo my answer matches the answer keyy

Thank you sosoo much everyone who helpedd

[sinful wyvern]

Thanku sm for ur help

.close

[safe radish]

Channel closed

Closed by @sinful wyvern

Use .reopen if this was a mistake.

[safe radish]

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.

[warped rampart]

What statistical model could I use to predict tarantula molting dates and how much they'll grow on that molt

[safe radish]

@warped rampart Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[safe radish]

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.

[keen trail]

my work^

i'm not sure how to continue with part (c)

[safe radish]

@keen trail Has your question been resolved?

[warm lodge]

the pdf of a continuous unifon (a,b) is

[keen trail]

why?

[warm lodge]

b) is weird because i agree you seem to get P(X=0) but for continuous distribution function P(X=x)=0

only P(x<X<y) has non zero probability

Consider first if a<2b. if x < a , X can’t be lower than a>x so P(X<x)=0 similarly if x > 2b, X will always be less than x so P(X<x)=1

[warm lodge]

does that make sense?

[keen trail]

this is finding the cdf?

[warm lodge]

yeah

[keen trail]

why did you find from a to x instead of from a to 2b

you're answering part (a) right?

[warm lodge]

integrating a to 2b would be 1

as you would “sum” the probability that X takes all it’s possible values

[keen trail]

wait so the cdf isn't a piecewise function but just a fraction?

[warm lodge]

that’s the case when x is between a and 2b if x is less than a with a < 2b then F_X(x)=0.

[keen trail]

yea if it's between a and 2b, i still don't understand why wouldn't you integrate from a to 2b

and instead just integrate from a to x

[warm lodge]

the density of a continuous df when integrated on a range [a,b] gives you P(a<X<b) by definition almost like that’s what the density is. so if since we want P(X<x) with x between a and 2b then we set the bounds accordingly.

[keen trail]

isn't P(X<x) with x between a and 2b the same as P(a<X<2b)

therefore you integrate from a to 2b

[warm lodge]

no these 2 interval are not the same. one ask what’s the chance the random quantity X is less than x the other one what’s the probability that it’s in the range [a,2b] the two interval mesured by the probability function P are not the same.

[keen trail]

okay so why is it to find P(X<x) with a<x<2b, you integrate from a to x?

[warm lodge]

because the density is 0 from -infinity to a

[keen trail]

density means probability?

[warm lodge]

no f_X(x) the pdf probability density function. it’s what the mass function for discrete random variables is for continuous random variables

sorry but i gtg, feel free to ping helper

[keen trail]

hmm i think i got it

[keen trail]

can any <@&286206848099549185> help with parts (b) and (c)?

[safe radish]

@keen trail Has your question been resolved?

[warm lodge]

i blundered sorry, for b) i think the awnser is 0 because as i said for a continuous random variable P(X=x)=0 only P(x<X<y) can be positive in contrast to discrete random variables.

[warm lodge]

for c) the case b >= a make sense but b < a i’m not too sure because from my definition (Wikipedia) the parameter a must be less than b.

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

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.

[vapid leaf]

I need help with a math packet

[vapid leaf]

I have a seven page math packet

[soft matrix]

What's a math packet

[vapid leaf]

a or the

but its a algebra packet

its a packet so I can be prepared for a test I have to do to get into geometry honors

[hearty egret]

interesting

[soft matrix]

Can u explain to me what he is saying

[hearty egret]

he has a set of math exercises, and he is expected to do them so that he will be prepared for the test

moreover this test will enable him to get into the geometry honors

[soft matrix]

Ohhhh so where did math packet come from

[hearty egret]

maybe the professor gave it to him one day

but these further questions have to be done to @vapid leaf

[soft matrix]

Understandable

[safe radish]

@vapid leaf Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

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.

[kind sandal]

How do I do this?

[soft matrix]

What have u tried

[kind sandal]

I cannot think of anything rn

[soft matrix]

dam

[lean otter]

complete the square on denominator maybe

idk

[shadow verge]

Hii

[brave wolf]

partial fractions should work here, although it would probably be really tedious

[soft matrix]

A little too tedious
Another tedious method will be by parts

There should be some trick here which I can't see

[kind sandal]

Yeah I've done that much

[eternal carbon]

no

[lean otter]

split the fraction

[eternal carbon]

do not do that

[lean otter]

what

[eternal carbon]

start by rewriting the numerator in terms of a(2v + 1) + b

where a and b are constants

[shadow verge]

There will be 1/2 ln

*error ^

[soft matrix]

• c*

[eternal carbon]

that's not even the full solution

[shadow verge]

That doesn't count until I write the final answer 🙂

Also i missed dx

[kind sandal]

Got it, thanks.

[eternal carbon]

said that but ok

[shadow verge]

You can manipulate, it if it's easy

[open scroll]

whats 1+1 help😰

[soft matrix]

0

[open scroll]

really

i have amnesia btw

okay ill put 0

[soft matrix]

still tho

[shadow verge]

Wasn't 1+1 = 1 ?

[open scroll]

Its 1?

[soft matrix]

I tried it by parts and now I have a even harder integral to solve

[open scroll]

i thought it was 11

[shadow verge]

I think you re using XOR gate so 1+1 = 0

[open scroll]

huhh

[shadow verge]

Nah it can be 10, 1, 0 never 11

[open scroll]

10

[shadow verge]

Unless you define some special "+"

[open scroll]

alr

a,so

also*

are u a real human?

[shadow verge]

Nah I'm a bot

[open scroll]

.

wait im not in university

im in 9th grade

[shadow verge]

Huh !?

[pure agate]

And he's trolling.

[shadow verge]

Nah I'm absolutely not

[golden verge]

It's a bot which executes xor gate on repeat 😭

[shadow verge]

I have valid points to proof every statement

[open scroll]

oh

[open scroll]

bitch

[shadow verge]

💀

[golden verge]

Don't tell me u fell for that

I'm laughing

[open scroll]

Erm

[golden verge]

😭😭😭

[open scroll]

i have amnesia

[shadow verge]

NVM i think it's insulting*

[open scroll]

so OF COURSE I FELL FOR THAT

[golden verge]

Isn't amnesia memory loss

[shadow verge]

What is dementia?

[golden verge]

Idk how this even relates

[shadow verge]

I think both are nearly same

[golden verge]

Oh

[hearty egret]

oh

[soft matrix]

Quite a imp discussion on the Millenium problem 1+1

[hearty egret]

yes, I will talk to my professor about it surely

[shadow verge]

The debate about 1+1 never ends

[safe radish]

@kind sandal Has your question been resolved?

Channel closed

Closed by @kind sandal

Use .reopen if this was a mistake.

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.

[midnight mirage]

hi

[midnight mirage]

I am actually lost

does this seem right enough?

[lean otter]

Which problem/question is presenting the most trouble?

[midnight mirage]

honestly all i just wanna know if i did it right or not

[lean otter]

For A, the graph doesn't show any signs of stopping at 4

And -14 is a closed circle, meaning it is part of the domain (parentheses mean that the point is not part of the interval/domain)

[midnight mirage]

so a is right?

[lean otter]

Well, the initial value, or start of the interval for the domain is correct, the symbol for the start is incorrect, and the value for the end of the interval isn't completely correct

[midnight mirage]

yeah bro i did hella bad

[lean otter]

It's all good, dw

[midnight mirage]

@lean otter

do yk what the answer is 😭

[lean otter]

For A, whenever you have a value of infinity, you can only put parentheses bc brackets mean you include infinity, which won't work in this case, as infinity isn't 1 number, it's all of them

So by putting infinity in parentheses, you say that you include all numbers from -14 to whatever the last number is

Out of all countable numbers

Tbh, I could be explaining this wrong, but infinity won't have brackets

[midnight mirage]

is this good?

[safe radish]

@midnight mirage Has your question been resolved?

[midnight mirage]

can someone please help me, im lost and the teacher dosent have any guides

[rustic goblet]

which part is the problem? @midnight mirage

[midnight mirage]

honestly all of them, i just have been very sick so i missed class a lot

tried learning online but i just didnt get it :(

[rustic goblet]

I see

[midnight mirage]

i had to do like 20 math homework, just this question and another graph question i got wrong sadly

[rustic goblet]

okay, let's start with a)

[midnight mirage]

for sure!

[rustic goblet]

what's the domain of f(x)?

can you answer that?

if not, then I ask that you state the definition of domain

[midnight mirage]

so the asymptope is at 6

[rustic goblet]

mhm

[midnight mirage]

so the domain is [inifity , 6) ?

assuming the graph starts from the left, [neative infinty , 6 )?

[rustic goblet]

well, f(x) is defined for all values in each of those intervals

so the domain should include both of them

[midnight mirage]

oh

[rustic goblet]

you're on the right track!

almost done, in fact

[midnight mirage]

WAIT

i think i got it holup

[rustic goblet]

[celest slate]

i am also excited to see his answer

[midnight mirage]

[-infnity , 6) U (6, infnity]?

[celest slate]

[midnight mirage]

I GOT IT RIGHT??

[rustic goblet]

yes, but use ( and ) instead of [ and ]

we can't include infinity as part of the domain

it's not a real number

[midnight mirage]

so (-infinity , 6) (6, inifinity) ?

[rustic goblet]

yup!

[midnight mirage]

lets goo

ok

[rustic goblet]

okay, part b)