help-23

[misty blade]

Exactly

[hearty egret]

seems like the text is wrong

[misty blade]

So there are infinitely many such functions

[misty blade]

Ig

.close

[safe radish]

Channel closed

Closed by @misty blade

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.

[brazen parrot]

how would i do this

[small epoch]

Expand LHS of equation so (x+y)^2=x^2+2xy+y^2

[brazen parrot]

why?

what about the x= 0 or y = 0

[small epoch]

Yes, what you then do is minus x^2+y^2 on both sides of the equation

to get 2xy=0

or xy=0

[brazen parrot]

xy = 0?

[small epoch]

by null factor law, either x=0 or y=0

[brazen parrot]

oh

how am i supposed to think of that during a test

[small epoch]

its quite easy

just expand everything out

then subtract the like terms

[brazen parrot]

.close

[safe radish]

Channel closed

Closed by @brazen parrot

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 maple]

hello can somebody please help me with a combinatorics question?

[storm maple]

A student learns that in a multiple choice test, the correct answer to each question always has a different number. There are 6 questions, each with 6 choice answers, and the student has studied nothing, so he responds essentially at random. What is his best strategy (which maximizes the number of correct answers) between (i) always answer “1” (ii) roll a die for each question and give the answer corresponding to the number that comes out (iii) randomly choose a permutation of the numbers {1, . . . 6} and respond following this permutation. Generalize this problem to the generic case of n questions, with n choices per answer.

in the first case since all the questions have different answers the student guesses 1 out of 6 questions

i think we have to use derangements (?)

[safe radish]

@storm maple Has your question been resolved?

[storm maple]

<@&286206848099549185> sorry for the ping

[safe radish]

@storm maple Has your question been resolved?

[buoyant shadow]

i think they mean permutations

just what option 3 says

[storm maple]

yes

[storm maple]

i got that in the first and second case the expected value is 1, whereas in the third case it is approx. 3,792

there exist 6! possible permutations and 265 derangements (6! / e)

the probability of getting a derangement is 265/720 = 0,368 therefore the expected value of correct answers is 6 x (1 - 0,368) = 3,792

idk if this is right

[storm maple]

by the way in yesterday's problem, the professor was wrong. he mixed the solutions to two different problems

[buoyant shadow]

that's not how it works

you don;t get 6 right answers as long as you didn't pick a derangement

you can get 6,1,2,3,4

[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.

[modern pier]

to check if it converges or not

[modern pier]

Did i do it correctly?

[proper crypt]

In the last step, where did the exponent go?

you forgot to write it

but yes the limit is 1/e

seems correct to me

[safe radish]

@modern pier Has your question been resolved?

[modern pier]

oh i forgot it...but thanks

[safe radish]

Channel closed

Closed by @modern pier

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.

[cobalt reef]

there is some kind of operation here but i can't find it

[safe radish]

@cobalt reef Has your question been resolved?

[cobalt reef]

<@&286206848099549185> any idea?

[sage robin]

Istg

I came up with this problem

2 days ago

Still no response

[cobalt reef]

really exactly this one?

[sage robin]

This type of

[cobalt reef]

can you send it here?

[sage robin]

Not exactly this one

[cobalt reef]

i can take a look

[sage robin]

I needa find it

Ait

Wait*

[cobalt reef]

aight

[terse sleet]

😫 what is this??

[sage robin]

A dude told me to solve this

[cobalt reef]

let me try this one

damnn that's hard

ok i found it

@sage robin

[cobalt reef]

finally found it

[sage robin]

Damn?

Holy shit thanks

[sage robin]

W

[cobalt reef]

lol you're welcome

i get these type of problems alot

ping me if you get any of them again i can try

.close

[safe radish]

Channel closed

Closed by @cobalt reef

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.

[lost spruce]

....any clue how to solve this? dont really wanna know the solution ,just a clue, feels so simple but i havent done geometry in like 4-5 years -_-

[buoyant solar]

Hello can someone check if these are correct please. I also need help with the last question

[buoyant solar]

Bud, you posted ur question 3 times relax and be patient

[tawny knoll]

do things properly

[lost spruce]

sorry about that....

[tawny knoll]

and learn exponential properties

dont do random things

[buoyant solar]

I didnt do random things

[tawny knoll]

u did

[buoyant solar]

What are tou sauing bruh

[tawny knoll]

on a)

[buoyant solar]

How is it random

[tawny knoll]

u end up with 3=9

and u have to ask if it is correct?

[buoyant solar]

I multiplied by 2^a

[tawny knoll]

since when 3 = 9?

[lost spruce]

why did you write 2^9 = 2^3 ? ofcourse thats not true -_-

[buoyant solar]

Yeah its probably not right

[tawny knoll]

i told u already. Dont do random things, and study the exponential properties

[buoyant solar]

Saying i didnt do random things, otherwise i wouldnt be here

[tawny knoll]

u are doing random things. And for the third time, study exponential properties

[buoyant solar]

So the answer is 6.

[lost spruce]

so can you explain why you wrote 2^9 = 2^3???

[buoyant solar]

For a

Its 2^9= 2^3a

You take base away and its 9=3@a…

[lost spruce]

you kind of forgot to write a everywhere, it should be 9 = 3a and then you get a = 3

[buoyant solar]

Omg

[lost spruce]

im talking about 1)

[buoyant solar]

I think i see what i did wrong

Was i supposed to write 2^3 x 2^a?

On the ones side

[lost spruce]

???

[buoyant solar]

Hmm

I’ll write it on paper

[lost spruce]

yeah better do that, no clue what you re saying lol

[buoyant solar]

The one on the right

Is new

[tawny knoll]

i wont repeat again @buoyant solar . STUDY EXPONENTIAL PROPERTIES

[buoyant solar]

What is the one you are talking about

[tawny knoll]

$2^3 * 2^a = ?$

[flat frigate]

Aza

[buoyant solar]

Guy im doing logs

[tawny knoll]

????

[hidden mist]

wdym logs

[tawny knoll]

oh god

[hidden mist]

hes right

[tawny knoll]

u dont even know what u are doing

[buoyant solar]

You know them logs

[hidden mist]

ur using the wrong exponential property

[tawny knoll]

and u saying u arent doing random things xd

[buoyant solar]

I know he is but i dont understand

[hidden mist]

see he said

2^3*2^a = 2^3+a

thats hwo it is supposed to be done

and ur doing it 2^3a

[buoyant solar]

Oh

[hidden mist]

which is wrong

[lost spruce]

first study the theory and formulas, then do exercises

[tawny knoll]

i have just told u to not spoonfeed, and u come here and do it again? @hidden mist

rlly, shut up wtf?

[buoyant solar]

I already did the topic last year

[hidden mist]

didnt he just mess 3 times already

[tawny knoll]

so?

[hidden mist]

and u tried making him understand thric

[tawny knoll]

as if he needs to mess 100 times

[hidden mist]

and nothing helped

[buoyant solar]

Yeah but i can just find new problems to practise

No biggie

[hidden mist]

Yeah

[lost spruce]

spoonfeed?

[tawny knoll]

yeah cuz im not spoonfeeding him. I told him to study, and he doesnt care

[hidden mist]

I dont know why this guy has some high anger issues

well cool

[tawny knoll]

he only comes here to see if someone else solves his problems

he doesnt care about why

but whatever

do what u want

[buoyant solar]

Aza bro if u get mad just leave

Cant teach a person like that

[tawny knoll]

xDDDDDDDDDDDDDDDDDDDD

[buoyant solar]

Sorry im not as good at maths as u

[tawny knoll]

okey mister logarithms

u are gonna tell me how to teach

wp wp

[buoyant solar]

Shi idk what that is

[lost spruce]

idk, @tawny knoll ,that atitude just gets people away from math,right?

[buoyant solar]

Fax bro

Im trynna fix my shi and people telling me what to do actually helps

[tawny knoll]

then STUDY. Dont come here hoping for others to tell u the answers

[buoyant solar]

So i can do other problems

[lost spruce]

also maybe stop talking like you re on a tiktok -_-

[buoyant solar]

?

I dont use that app bro

For braindead ppl

K well none of you are really usefull

[lost spruce]

idk if its just the slang but it makes you sound bad, like "fax", " shi"....

[buoyant solar]

Tell me the answer so i can work backward

Thats just how i thpe

Say what a is equal to

[lost spruce]

thats not how it works

[buoyant solar]

Not how it is done

[lost spruce]

literaly just google exponential properties

and solve it

[buoyant solar]

Well my teachers have said the best way to figure something out is to try and do the problem backward

And im in my final year

[lost spruce]

do that for the ones you got in class or just google some examples

[lost spruce]

then try applying the same logic to your problem

[buoyant solar]

Btw this is 2^2+a

Ez stuff

[lost spruce]

no its not :/

[buoyant solar]

I swear

Thats what i’ve been taught

I have it on my notes

Damn bro

[steep flicker]

Wasup

[lost spruce]

anyway, if someone could help with this, it would help a lot

[lost spruce]

hi

[buoyant solar]

It issss

Oon god bro

Wait

I said 2

I meant 3

[steep flicker]

Wikipedia sucks

[lost spruce]

dude, think about that logically, you put 2 * 2, 3 times and then you put 2 * 2, a more times, how many times did you put 2*2?

[steep flicker]

Reddit is better

[buoyant solar]

Yes it is 2x2x2

[lost spruce]

yeah 2^(3+a)

[buoyant solar]

Bro can you just write it

Ok

Yes i know that

[lost spruce]

but its not the answer to your original problem

[buoyant solar]

Ok

Give me a second

[lost spruce]

well, gl, im just gonna leave

[buoyant solar]

I got a=6

As final answer

@hidden mist

Can you check pls

[safe radish]

@buoyant solar 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.

[delicate fjord]

If x = 4/x+y and y+5/y+x where x and y are non-zero real numbers, then the absolute value of the difference of the two numbers is equal to?

[delicate fjord]

<@&286206848099549185>

[empty gyro]

!15m

[safe radish]

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.

[delicate fjord]

i'm sorry

my bad

[empty gyro]

!status

[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

[delicate fjord]

I don't know where to begin

i replaced the x in 5/y+x with 5/x+y

[empty gyro]

Did you mean y=5/y+x?

[delicate fjord]

like

5/(y) + x

[empty gyro]

And you want to find |x-y|?

[delicate fjord]

thats right

[empty gyro]

I wold solve for x-y in both equations, then go from there. That seems to be the best route

[delicate fjord]

wdym both ecuations

[hidden mist]

didnt u specify 2 equations in the quetion

question

[delicate fjord]

oh those two

makes sense

x-y = 4/x

x-y = -5/y

right? @empty gyro

okay

does that mean 4/x = -5/y

now i'm stuck again 😭

@empty gyro what should i do now

?

[empty gyro]

solve for x or y, then put it back in first equation and solve for the other variable

[delicate fjord]

well x = 4y/5

so we'd replace in the second one

[empty gyro]

double check your math

[delicate fjord]

-4y/5

so 4/x = -y

what would I do now @empty gyro

oh wait

x-4/x

[empty gyro]

what is this?

[delicate fjord]

x-y

[delicate fjord]

i replaced -y with 4/x

it's actually x+4/x

[empty gyro]

x-y=x+4/x won't help you. You broight the unknown y back

You're trying to solve for x

[delicate fjord]

this is frustrating

.close

[safe radish]

Channel closed

Closed by @delicate fjord

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.

[severe moon]

can someone help me with this question pls

[safe radish]

@severe moon Has your question been resolved?

[severe moon]

<@&286206848099549185>

[grave lodge]

well you have:

• number of women = 4/5ths * number of men
  and
• number of unmarried woman = 40%
• 30 unmarried woman

so 30 = 40% of x (x being the number of women)
x = 75

from here you can calculate the number of men

[grave lodge]

i may have perceived the question wrong
40% of the men were unmarried or 40% of the women?

[uncut gate]

i also didnt get that part

i think its %40 of women

[severe moon]

i know this question is a bit ambiguous

but i think it's 40% of the men

as men was the last subject mentioned

[grave lodge]

yeah i think its men as well coz why else would they mention the stuff about the married women being with their husbands etc

[severe moon]

exactly

[grave lodge]

ok then u gotta solve it a different way

[severe moon]

how

[uncut gate]

well you'll take %40 of the men

not the women

which would obviously change the amount of people

[safe radish]

@severe moon 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.

[sullen hill]

I know I have to use some directional calculation but I'm kinda stuck on how to approach this

[sullen hill]

I think I need to calculate the partial derivative of x and y

but

given the two points

I don't know if it's possible

[safe radish]

@sullen hill Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[severe moon]

.reopen

[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.

[lean otter]

what's up with the radical.

[lean otter]

looks like they skipped some steps

[proper crypt]

They just skip over the simplification because it's not important I assume

If you're doing calculus, this isn't the main focus

Just plug and evaluate, that's all

[lean otter]

how do you even simplify that equation to get that answer is the question

[proper crypt]

Find cos(19pi/6)

Subtract 2pi, so that's equal to cos(7pi/6)

Which is equal to -cos(pi/6)

And cos(pi/6) = sqrt(3)/2

Do a similar thing with sine

[lean otter]

Is there an easy way to think about trig functions on radians

I get degrees, but radians hurt my head

[safe radish]

@lean otter Has your question been resolved?

[lean otter]

no

eh fine

.done

.solved

[safe radish]

Channel closed

Closed by @real plank

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.

[marble aspen]

Can someone explain me why it equals to 0 in both sides here?

[clear blade]

because the LHS must be >= 0 and the RHS is <= 0

[hardy lion]

you have an even root of a positive number on one side and an even root of a negative number on the other

[marble aspen]

Ohh I see

And does it apply to every quadratic equation? Or is it because I took the root from both sides?

[wind dove]

I expanded s.t $(3x^2 + 6)^2 = -9x^2 \Rightarrow 18x^2+36x+36 = 0$

[flat frigate]

g3

[wind dove]

Then you see that $\sqrt{b^2 - 4ac} < 0 \Rightarrow x \in \mathbb{C}$

[flat frigate]

g3

[marble aspen]

Oh I saw that yeah

But it's only that I didn't know why it equaled 0 in both sides

[marble aspen]

I see now that's because this, right?

[clear blade]

The only way we can have equality is at the intersection, 0

[marble aspen]

Righttt

That makes it more clear

Thanks y'all!

[clear blade]

No

Only in this very specific case

[marble aspen]

I see

[clear blade]

Best is to use other methods above

[marble aspen]

Yeah, like discriminant right?

I used that and I got the solution also

But now I get why you can also equal all to 0

Well, thank you very much

.solved

[safe radish]

Channel closed

Closed by @marble aspen

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.

[south epoch]

How?

[safe radish]

@south epoch Has your question been resolved?

[eternal carbon]

vandermonde's identity

[south epoch]

ok

.close

[safe radish]

Channel closed

Closed by @south epoch

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.

[lean otter]

.close

[next oar]

wouldnt n - n be 0

becauses they are both of degree n

[drowsy moss]

the degree of the numerator and denominator are not both n in the derivative.

[safe radish]

@next oar Has your question been resolved?

Channel closed

Closed by @next oar

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.

[rough matrix]

Hi

[rough matrix]

Is 1.d answer just nothing ?

[mortal sandal]

no

do you have answers for the other parts?

For 1d I would start by factoring

[rough matrix]

I factored

The fractions are equal after reducinh

[mortal sandal]

Yes

Reducing is performing a certain operation to both the numerator and denominator

They are asking what the operation was

[rough matrix]

O division

Ic

[mortal sandal]

Yeah

[safe radish]

@rough matrix 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.

[lean otter]

How do you do these again?

[left karma]

You were close, but the first issue that f'(x)=-1, not +1. Next, you can actually calculate g'(3) because it's the slope of the line at x=3. Looking at the part of g(x) around x=3, the slope is 2, so you can plug that in to get just a number for the answer

[lean otter]

OH

So the answer is 4

Darn it!

[left karma]

I think it's -1 + 2*3 + 3 = 8

[lean otter]

Wat

[left karma]

So re-writing your work a bit, you got that h'(3) = f'(3) + g'(3)*3+g(3). Then plugging in h'(3) = -1 + 2*3 + 3

[lean otter]

Why did you add 3?

You told me the slope is 2

[left karma]

Oh sorry if I'm not writing it well. g'(x) is the slope, but there's also just g(x) which is the actual value of the function. So the 3 on the end there is from the actual value of g(3), not the slope

[lean otter]

OHHH that makes sense

Thank you so much Don!

[left karma]

Glad to help! It's a weird one haha

[lean otter]

yeah it is

.close

[safe radish]

Channel closed

Closed by @rain nova

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.

[flat bramble]

is anyone fluent in statistics (ap statistics specifically would be even better)

[flat bramble]

i need help studying

[rigid inlet]

!da2a

[safe radish]

No need to ask “Can I ask…?” or “Does anyone know about…?”—it’s faster for everyone if you just ask your question! See https://dontasktoask.com/

[split fulcrum]

soooo that’s the command

[flat bramble]

does anyone know about sample proportions

[rigid inlet]

i think you need to read what the bot said again

[steel granite]

yo... ask the question

[flat bramble]

i’m just curious about how they work

[safe radish]

@flat bramble 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.

[glad linden]

What would my first step be since i cant cross multiply

[dusk gate]

get all your x stuff on one side

[small epoch]

maybe just write 5 as 5(x+4)/(x+4)

and then see the denominators are the same

[sullen ravine]

why can't you? try it and see what happens!

[dusk gate]

or multiply both sides by (x+4) and get rid of the denominators

several ways to go about it

[glad linden]

Wouldnt i have x^3 then too?

If i multiplied both sides

Man i have no idea lol

.close

[safe radish]

Channel closed

Closed by @glad linden

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.

[fallow minnow]

Why need to divide by 18

[eternal carbon]

you divide by 2 because if you reflect the necklace, you can get the same bead pattern
you divide by 9 because if you rotate the necklace, you can get the same bead pattern

in total, you divide by 18

though it looks like the book has a typo… extra 0 at the end of the answer 🤔

[safe radish]

@fallow minnow 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.

[hoary lotus]

d

[hoary lotus]

hello i have a limits question

if i have something like lim x -> 3, (x^2-9)/(|x-3|)

how do i go about solving it

[severe lark]

it has no limit

[hoary lotus]

can u pls explain i understand its because its divided by absolute value of that

but i dont understand exactly why that is

[severe lark]

because the right limit and left limit are not equal

x^2-9=(x+3)(x-3)

lim x->3+ (x-3)/|x-3| = 1, lim x->3- (x-3)/|x-3| = -1

[hoary lotus]

so would you use test values?

if it wanst apparent

[severe lark]

it....is apparent

or

[hoary lotus]

yes i understand

but i mean for another question

[severe lark]

wdym

[hoary lotus]

lets say i had a question on a test and the denom was an absolute value

if a factor of the numerator was the same thing it means theres no limit

[severe lark]

yep

...

not always

it depends

[hoary lotus]

alright thanks

.close

[safe radish]

Channel closed

Closed by @hoary lotus

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.

[minor rapids]

hi

[safe radish]

Please don't occupy multiple help channels.

[minor rapids]

ok

[pseudo pulsar]

Do you have no question to ask?

[silver whale]

can you help me ? 5

[minor rapids]

no but i need your help

in maths

[pseudo pulsar]

Post your question

[thin bridge]

post in one of your two channels and close the other

[pseudo pulsar]

And don't occupy 2 channels

[minor rapids]

bro i dont have any question my maths is week so everyone make fun of me and i work so hard but im not geting result

[silver whale]

what are you talking about

[pseudo pulsar]

Type the following
.close

[silver whale]

yo zap

can you help 5

[thin bridge]

it may be worth getting a private tutor, you could seek tips for how to improve in #discussion #serious-discussion
these channels are intended for help on specific problems

[minor rapids]

ok

[pseudo pulsar]

You shouldn't occupy the help channel then, other channels would be more helpful

.close

@minor rapids

[safe radish]

@minor rapids Has your question been resolved?

[lean otter]

@minor rapids It's been 20 minutes, do you still need assistance or can you .close this help channel to open it for others?

[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.

[round yoke]

Hi

[round yoke]

Sorry ...how to do this question? 😅 which part was wrong

nvm get it

.close

[safe radish]

Channel closed

Closed by @round yoke

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.

[amber sky]

How do you go about solving this? I tried to use disc method but I couldn't integrate it

[median vigil]

trigonometric substitution is a good place to start

[amber sky]

What type of trig sub would I use for this integral

[median vigil]

https://tutorial.math.lamar.edu/Classes/CalcII/TrigSubstitutions.aspx

the table at the end has a list

[rose plume]

but the volume of the solid has x^2 isnt it?

im blind

i didnt read everything

[amber sky]

Wait but you do use disc method for this question right?

[median vigil]

disk method will work fine here

[median vigil]

although in that case i suppose trig sub is a bit overkill

[rose plume]

still being a trig

i mean

ok not a trig sub

but a trig

[median vigil]

you would get it with trig sub, just more work than strictly necessary

https://math.libretexts.org/Courses/Monroe_Community_College/MTH_211_Calculus_II/Chapter_5%3A_Integration/5.7%3A_Integrals_Resulting_in_Inverse_Trigonometric_Functions_and_Related_Integration_Techniques

[safe radish]

@amber sky Has your question been resolved?

Channel closed

Closed by @amber sky

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.

[sacred socket]

No idea how to go from here

[rose plume]

I've seen that when you have an 1/x^2 you usually use (Ax+B)/x^2 instead of B

maybe that method is also valid(?) I haven't see it

mmm maybe you can just separate it more

x^2(x-1)^2 = xx(x-1)(x-1)

wait, why squared? you end up with a term of x x^2 x^2 x^2

its a coefficient for each factor

[sacred socket]

No clue on this one, i know when you have "Repeating Factors" you should do A+B+...but the difference here is that I have 2 repeating factors 💀

[rose plume]

un-repeat it

when you wrote it the denominator would end up with at max a 1+2+2+2 degree instead of degree 4

x^2(x-1)^2 gives x^4 at max LHS (only focussing at biggest x)

RHS gives x^7, (after you add up all the fractions you multiply all fractions, and that x will be as big as x^7)

[rose plume]

fwof-wogypajkhogwoajhkoj k this in few words

a coefficient for each factor

[sacred socket]

ok lemme give this a shot, thank you

[rose plume]

don't thank me because its wrong

forget everything

imma see what you can do with what you had

///////////////////////

i have an idea

expand everything

[sacred socket]

dang im actually frustrated right now

im trying to FOIL it out

see if that brings me somewhere

[rose plume]

an match every coefficient with the one correspoding to eat

it

let me explain

once you know b = 1 and d = 1 is easier

[sacred socket]

hold on i think i got it

nvm i cant

[rose plume]

i figured it out

but wait let me send ss

okay I think I screwed it up in some term

but this is what you have to do

you match the coefficient of each term

let me try again

[sacred socket]

i notice this but I missed my lecture yesterday and Im reading the notes but I dont understand the matching the coefficients part.

[rose plume]

i mean

rewrite the 1 as 0x^3 + 0x^2 +0x^1 + 1

so you want the coefficients of the term x^3 be equal to 0, same for x^2 and 0x^1, BUT YOU WANT THE ALONE COEFFICIENT BE EQUAL TO A

okay give me few minutes

[sacred socket]

ok i see this a lot clearer, this is the example I get when he talks about the coefficients.

[rose plume]

of i didn't mean it like that

but that works

give different values for x that doesn't delete the terms

okay that might work there too

if you let x = 2 and x = 3 for example, you find a system of equations and solve for A,C

imma send it with both methods

omg too many terms

wait im almost done

[sacred socket]

ok its fine, its getting really late for me but its good imma stay up a little longer

[rose plume]

first way

you write 1 = 0 + 1

and because multiplying by 0 doesn't change the expression

rewrite it as 0x^3+0x^2+0x+1 = ...

then match every coefficient, so you find whose values of A,B,C,D cancels make 0 those x^3 + x^2... and so on, so it only leaves you with 0 + 0 +... + 1 = 1

[sacred socket]

hmm ok i dont really understand this entirely since its 12am for me but i will go over this again tmr and try to understand it.

its funny because i skipped this and the question right after i got the answer in literally 2m

im going to log off for now but do you mind if I add you through discord?

thank you so much

.close

[safe radish]

Channel closed

Closed by @sacred socket

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.

[opal moat]

can i get a step by step help as to how to solve this?

[opal moat]

also what am I typing wrong here?

symbolabs gives the wrong answer

or maybe they're equivalent but it says its wrong when i try 8/81

[safe radish]

@opal moat Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[opal moat]

.reopen

[safe radish]

✅

@opal moat Has your question been resolved?

[safe radish]

@opal moat 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.

[formal blaze]

what is 8+8

[formal blaze]

first answer my question 8+8

[teal pollen]

Compound interest formula = (1+p/n)^n where n is number of times compounded in one period (usually a year) and p is the % change

n = 4 in this case

yeah compounded 4 times in one year —> % increase in one year = (1+0.25/4)^4

find the % increase for one year and then find the % increase for 6

quarterly refers to specifically four times per ywar

well its just multiplying the power by 6 after that but im talking more about the thought process

so…?

multiply the % increase after six years by the original amount?

an increase of (1+0.25/4)^4 per year for six years

compounded quarterly

i.e. compounded four times a year

[safe radish]

Channel closed

Closed by @faint minnow

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.

[spiral ermine]

prove that the power of P is 3

[spiral ermine]

if (look pic) find P

<@&286206848099549185>

[safe radish]

@spiral ermine Has your question been resolved?

[charred niche]

Assume P to be nth degree ,now equate the highest degree term

2power n= 8

Therefore n=3

[spiral ermine]

what??

[charred niche]

Assume p to be of nth degree

Now what will be the degree of P(x+6)

?

[spiral ermine]

what is nth degree?

[charred niche]

Power, the highest exponent of the variable

Assume it to be n

Now equate that highest power term from both sides(lhs and rhs)

Lhs you will have the coefficient 2 power n and rhs 8

Hope it helps

[safe radish]

@spiral ermine 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.

[hardy vapor]

What does the following iteration calculate?

[hardy vapor]

for a>0

$x_{k+1}=G(x_k)$

[flat frigate]

Bob Goldham

[safe radish]

@hardy vapor Has your question been resolved?

[last wren]

this is known as a fixed point iteration

if you have something of the form f(x) = x, then $x_{n+1} = f(x_n)$ converges to the solution $x^$, as long as $|f'(x^)| < 1$

[flat frigate]

doaby

[hardy vapor]

so this converges such that for a sufficiently large n (likely the limit towards infinity) x_n=G(x_n)?

And I'm assuming we could analytically determine what it converges towards by setting x=G(x) and solving for x?

(Not that that's very efficient, hence the numerical approach?)

[last wren]

yes exactly

you got it

[hardy vapor]

alright thanks!

.close

[safe radish]

Channel closed

Closed by @hardy vapor

Use .reopen if this was a mistake.

[last wren]

np! :)

[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 stratus]

so im trying to find the derivative of this using the f(x+h)-f(x)/h

[dusk stratus]

I'm having a tough time though

[potent seal]

Is the sqrt for the entire thing or just 3x?

[dusk stratus]

I radicized the numerator but now the denominator is sq

[dusk stratus]

the whole thing

[potent seal]

$\frac{\sqrt{3(x+h)+2}-\sqrt{3x+2}}{h}$

[flat frigate]

Lorentz

[potent seal]

You can just substitute after that

[dusk stratus]

sustitute with what

[potent seal]

The denominator will be the conjugate of numerator

h=0 i mean

[thin bridge]

can you show your work

[dusk stratus]

k one sec

@thin bridge @potent seal

please note that 3 at the bottom shouldnt be neg

[potent seal]

Just substitute h=0 after that

[thin bridge]

also there's no need/point in distributing the h to the conjugate

more ideal to leave it unexpanded, especially for more complicated limit problems

[dusk stratus]

where

[thin bridge]

in your denominators

[potent seal]

Note that the derivative would be the limit of this as h tends to 0

[thin bridge]

no need to expand to
$$h\sqrt{3(x+h)+2} + h\sqrt{3x+2}$$
just leave it as
$$h(\sqrt{3(x+h)+2} + \sqrt{3x+2})$$

[flat frigate]

ℝαμΩℕωⅤ

[dusk stratus]

ohh

okay

thank you

[thin bridge]

also in the first line

[dusk stratus]

makes sense actually

[thin bridge]

don't be lazy with notation

[dusk stratus]

[thin bridge]

make sure you write the multiplication to both the numerator and denominator

[dusk stratus]

okay ill do that

thanks guys

.close

[safe radish]

Channel closed

Closed by @dusk stratus

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.

[hybrid plover]

Consider

[hybrid plover]

n and k are positive integers

[flat frigate]

moriaritie

[proper crypt]

Well what exactly would you consider a closed form

[eternal carbon]

that pretty much is- ye

[proper crypt]

If you're allowed to use something like floor() then yes I guess

[safe radish]

@hybrid plover 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.

[magic willow]

Somebody help with my math ts impossible

[faint seal]

I highly doubt it is "impossible"

[main mural]

ask your question

[desert pasture]

,rotate

[main mural]

gödel would like to interfere

lol

[lean otter]

add and square root

[magic willow]

What do i add

[lean otter]

144 and 64

[magic willow]

Oh ok

[lean otter]

4root13

[safe radish]

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.

[lean otter]

did u get why

[magic willow]

I added

208=x square

Now what

[lean otter]

okay so see

u need to find only x

not x^2

amd

applying pythagoras theorem

do u know it

?

[thin bridge]

pythag was already applied

[lean otter]

but he/she didnt square root

im explaining why square root should be applied

so thst they dont make same mistake again

[magic willow]

Did i gettit

[lean otter]

yes

[unborn spade]

yes

[lean otter]

do u understand why

we square root?

[thin bridge]

no mistakes were made, work was just incomplete

[lean otter]

dude

i didnt say its a mistake

i said

they shouldnt forget to square root

[unborn spade]

you'll lose marks if you keep in it x2 form

[lean otter]

yeah

thats what i was tryna explain

[unborn spade]

don't forget to square root be careful that's all

ggs

[lean otter]

but someone here thinks

[unborn spade]

sid

shush

[lean otter]

otherwise

[lean otter]

....

[magic willow]

Thank u

[thin bridge]

you literally said mistake

[unborn spade]

raq its okay she meant she didn't want him to make the mistake of forgetting the root

not a literal mistake

[magic willow]

Who tryna help me wit this one

Number 2

[thin bridge]

have you been introduced to sohcahtoa
and/or what sin, cos, tan do in a right triangle?

[magic willow]

Yeah

[thin bridge]

are you able to set up an equation that relates the
30° angle, x and 33?

[hybrid plover]

oops, i was gone. ok you can use floor, what would be it then?

[proper crypt]

The solution to n = k(k + 3)/2 in terms of k is a whole number when a_n = 1

and not a whole number when a_n = 0

So you can use that

[safe radish]

@magic willow Has your question been resolved?

Channel closed

Closed by @magic willow

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.

[eager garden]

im not getting the same cords

[thin bridge]

-x^2 isn't 4 when x=2

[eager garden]

Then what is it

[thin bridge]

recall order of operations

[hybrid plover]

got it, thanks!

[sly rose]

SOHCAHTOA

[safe radish]

@eager garden 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.

[dense wadi]

whats the i in riemann sum

[dense wadi]

and why does it always = to 1

[severe pond]

it starts at one

i is just a subscript

[dense wadi]

so lets say in this

what does the i stand for

[severe pond]

yea it’s just the index

like which rectangle

so ur adding up the first second third and so on

rectangle

and ur taking the limit as we get infinite rectangles

so starting at 1 rectangle we go up to n rectangles

for the approximation

and the integral represents having infinitely many rectangles

to get a precise area

[proper crypt]

You start from i = 1, and increment it by 1 each time until you get to n

For each i, you sum up f(x_i) * delta x

So this just means f(x_1)delta x + f(x_2)delta x + ... + f(x_n)delta x

[dense wadi]

ah

[dense wadi]

so if it says

i=2

does it jump from every 2 rectangles?

[dense wadi]

so the x_i

can the i just be like a symbol for all constants?

1,2,3 etc

[severe pond]

well if it starts at i=2 but it won’t

you always sum from the first rectangle

it’s an approximation

which gets better and better the more rectangles you add

hence why n goes to infinity

[safe radish]

@dense wadi Has your question been resolved?

[dense wadi]

ah okay ty

[safe radish]

Channel closed

Closed by @dense wadi

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.

[neat rover]

why is c wrong

i got 2/5 on question one

but wouldnt finding the average cost just be the cost of producing 100 phones plus producing 1 more devided by the total amount of phones made

[safe radish]

@neat rover Has your question been resolved?

[neat rover]

.close

[safe radish]

Channel closed

Closed by @neat rover

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.

[barren hollow]

Can someone help me with my geometry homework 😭😭 we are learning about cross sections

[safe radish]

@barren hollow 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.

[wide cloud]

how to find upper and lower boundaries? wasn't it getting the iqr, multiplying the iqr by 1.5, and subtracting for the lower bound/adding for upper bound?

[median vigil]

the upper and lower boundaries are usually just the lowest and highest data points. however, you may be required to exclude outliers, which we can define to be any points outside the 1.5*IQR range

if you do have outliers you would normally plot them as individual points, and the upper and lower bounds would be the highest/lowest non-outliers

[wide cloud]

ok so it should be 10.5 and 54.5?

i'm actually getting -10.5 though it feels weird for the entire graph to be apart of the plot

[median vigil]

where are you getting those numbers from?

[wide cloud]

the iqr minus 26 and plus 38

[median vigil]

so those aren't the upper and lower bounds of your box plot, that's the boundary which we find for outliers

[wide cloud]

right

this is what i meant to be asking

[median vigil]

so any data point outside that range is an outlier (you plot with a point) and anything inside that range is not an outlier (covered with the graph)

[wide cloud]

alright, yea I was just making sure if those numbers were correct if i was looking for the outliars

[median vigil]

but that is the correct range for finding outliers, yes

[wide cloud]

ok sounds good, I appreciate it

.close

[safe radish]

Channel closed

Closed by @wide cloud

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.

[eager garden]

im not sure what to do here

[neon summit]

when a function increases it means that, going from left to right, the y value increases

and when it decreases, the y value decreases

so from question one we can see the function increases from negative infinity to somewhere before 0

and increases from like 1 to positive infinity

[eager garden]

and what am i suppose to do with the numerical thing

[neon summit]

you have the equations of the two functions

idk what your teacher may be looking for, but if i got this question this is what i would do. if i thought the function stopped increasing at -0.5, i would calculate. f(-0.5). after that, i would get a number smaller than -0.5, and greater than -0.5, and plug them into f, for example f(-0.6) and f(-0.4). if i see that both f(-0.6), and f(-0.4) are smaller than f(-0.5), then i know that it stops increasing at -0.5

[safe radish]

@eager garden Has your question been resolved?

[safe radish]

@eager garden 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.

[misty ember]

I assume I distribute the e^2x to the x+2, and then take the antiderivative, is that correct?

[drowsy karma]

use integration by parts, your integral si typical for that

[misty ember]

the UV - integral of vdu?

[drowsy karma]

yes that )

u = x + 2

dv = exp

[misty ember]

I'm not very good at that, so I was afraid that was the case lol- I'll try it with this new info and get back to you haha

[drowsy karma]

ok) but no other emthod , becasue

if you have polynomial

and

exponentuial fucntion

binded togetehr as multiplicaiton

then you must integrate by parts

no exception

[misty ember]

Is this correct so far?

[drowsy karma]

very well 🙂

[misty ember]

Do I distribute the 1/2e^2x to the x+2?

[drowsy karma]

yes you may

[misty ember]

like this?

[drowsy karma]

ye sbut it does nto look nice

do other thing

if yoru exp2x

is everywhere

then take it out

in front of parenthesis

you understand me ?

2Pi exp(2x) ( ... )

that is more consistent notation

nicer

[misty ember]

I see

Lemme rewrite it

[drowsy karma]

when you show me all yoru final results, i will show you my version too, to compare

[misty ember]

Here you go!

[drowsy karma]

yes 🙂

that is method to calculate all in same time

but you can do as you did, first indefinite integral and next definite

[misty ember]

So now I plug in what I got into the definite integral?

[drowsy karma]

yes it is,

[misty ember]

Like this?

[drowsy karma]

your bracket must surrond all expression

2Pi can be outsid

but exp must be isnide

[misty ember]

Like this?

[drowsy karma]

correct)

[misty ember]

Okay, let me try to calculate it

[drowsy karma]

ok

[misty ember]

I got 57.821

[drowsy karma]

but can you get precise form ?

as me ?

the last form on my photo

shud be the same at you

[misty ember]

I don't understand where the e^2 - e^2 come from, everything else I think I understand how you got there

[drowsy karma]

exp(2x)

if you put x = 1

then you have e^2

if you put x = -1

you hav exp(-2)

agreed ?

[misty ember]

Oh, I see it now! Thank you.

[drowsy karma]

yvw)

[misty ember]

If I may ask you another question- how would I set this particular problem up? Would I solve for x and proceed to solve it the same way I did the last problem?

[drowsy karma]

one moment )

[drowsy karma]

that is your region :

and you rotate it around x-axis

[misty ember]

Oh, because if you simplify the y^2-4y you get y= 0, -4

So the constraints are from -4 to 0

Okay, let me see if I can set this up properly

Is this correct?

[drowsy karma]

no, because, you used formula, when your function is of the form y = f(x)

and you have:

x = f(y)

[misty ember]

Would x=y^2 - 4y become y = x+4?

[drowsy karma]

no ) look, you have parabola, so it cant become a straight line

i shwo you :

[drowsy karma]

hence:

the upper branch is y = 2+...

the lower bramch is y = 2- ...

[misty ember]

What did you do in order to create the (y-2)^2 - 4 ?

[drowsy karma]

it is called : a canonical form of the trinomial, or in your language it can be called: a vertex form of the trinomial

[drowsy karma]

ahve you heard about it durign lecture of square trinomials ?

a square trinomial = a quadratic function

[drowsy karma]

there is a very known formula fo rthat in school

[misty ember]

I think I just forgot about that, or maybe I know it and it's just not clicking right now for me

[drowsy karma]

if you want i can write this formual for you

you like?

[misty ember]

Yes please!

[drowsy karma]

ok minute plz

[drowsy karma]

of course, it also works when you change x with y

that is super easy formula, and no need to spend time to combine on creatign it

ppl often spedns much of time to reach it

[misty ember]

I see

[drowsy karma]

and it always always works 🙂

even if you have very ugly numbers)

[misty ember]

y = 2- square root of x+4 would be what I use for this equation yes?

[drowsy karma]

you saw my photo with graph ?

the upper red part of parabola

is y = 2+ ...

the lwoer part is y = 2-..