help-26

[deft wing]

yeah

exactly

[vernal vale]

what have you tried

[deft wing]

I'm just unsure where to start.
$a_1$ is 2.

So $a_2$ would be $\sqrt{1+2}$ ?

[thorny flame]

Lukas

[vernal vale]

yea

[deft wing]

and A3 would be Sqrt(3+1)
Thanks.

[vernal vale]

not quite

$a_3 = \sqrt{ 1 + \sqrt{1+2} }$

[thorny flame]

jan Niku

[deft wing]

ah, I see now.
$a_4 \coloneq \sqrt{1+\sqrt{1+\sqrt{1+2}}}$?

[thorny flame]

Lukas

[vernal vale]

yea

do you have an approach in mind?

[deft wing]

I might find one if I considered the problem further.
Right now It seems pretty obvious that it does converge though.

[vernal vale]

idk if obvious is fair lol

but if you believe it sure

[deft wing]

well, the result should get smaller, but not smaller than 0.

[vernal vale]

yea

so showing that it always gets smaller is probably one piece of this

i mean, that will show its convergent

not to what limit, though

[deft wing]

And I'd still have to formally prove it.

[vernal vale]

i dont think itll be that hard

but itll take some cleverness

[deft wing]

so I'd probably have to remember some of the the rules of squares. And then use that in the proof

[vernal vale]

i think induction is the move

im trying to remember how this works if you just extend it to the reals

do you know calculus?

[deft wing]

a bit. It's been a while though

This is part of the tasks for a second semester Analysis 1 course.

[vernal vale]

its funny because the limit is so easy to find and this is the hard part lol

okay so we assume that $a_n < a_{n-1}$

[thorny flame]

jan Niku

[vernal vale]

and we'd like to show that $a_{n+1} < a_n$

[thorny flame]

jan Niku

[vernal vale]

i think you can start here and manipulate to land at the definition

does that seem like an okay hint? @deft wing

[deft wing]

It does!

I also realized that the limit is the golden ratio.

Thanks a bunch for the nudges. I'll .close this while I actually work the problem some more.

.close

[topaz sinew]

Channel closed

Closed by @deft wing

Use .reopen if this was a mistake.

[vernal vale]

is it?

i just solved the polynomial

lol

i didnt recognize

thats pretty nifty

[deft wing]

yep. 1.6180 something

[vernal vale]

hmm

i wonder how you manipulate it to get out this approximation

interesting

[topaz sinew]

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.

[supple rampart]

Consider this disjunctive syllogism:
The UN will become more responsible or there will be a third world war
The UN will not become more responsible
Therefore, there will be a third world war

[supple rampart]

Now the interpretation of 'or' in the sense of being strong or exclusive makes more sense to me
But the book says the inclusive 'or' also leads to this argument being valid

and Im having trouble seeing that

So from what I understand all exclusive 'or's can be interpreted as inclusive 'or'
but not all inclusive 'or's can be interpreted as exclusive 'or'

<@&286206848099549185>

[topaz sinew]

@supple rampart Has your question been resolved?

[topaz sinew]

@supple rampart Has your question been resolved?

[radiant marlin]

inclusive or is 01, 11, or 10 and you're told that the first thing is 0 a.k.a. false, so the second thing must be true because 01 is the only possibility

xor is just missing the 11 part

[supple rampart]

xor is exclusive or?

[radiant marlin]

yea

[supple rampart]

so xor is sort of contained in inclusive or? like its a specific case of it

[radiant marlin]

right it's a more specific thing, inclusive or is more broad and includes another case

[supple rampart]

ok this sort of explains why this could be interpreted as an inclusive or as well
thanks

[radiant marlin]

you could make syllogisms that work with either one or the other though

[topaz sinew]

@supple rampart Has your question been resolved?

[topaz sinew]

Channel closed

Closed by @supple rampart

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.

[final solstice]

hello

i am once again in need of assistance

is it like that problem?

[glacial adder]

yeah

its just getting you to recognize why $\frac{d}{dx}\int_{f(x)}^{g(x)}v(t)dt=f'(x)v(f(x))-g'(x)v(g(x))$

[thorny flame]

y0shi

[final solstice]

uh

so does it matter if its u or not

like is u just a variable or does it imply something else

what do i do next

plug in 2x and x^3?

[final solstice]

or do you cancel out the integral in this?

<@&286206848099549185>

[zenith cape]

hm

try splitting the integraal in 2

like this

oh nvm

I dont think It will work

ok so then just do newton leibniz

so I short words

what u need to do is evaluate the integral as if you were just plugging the values in

and then multiply by the derivative of the upper and bottom limit because of the chain rule

I'm not sure if I am confusing u more

https://tenor.com/view/poop-cat-meme-dark-fnaf-gif-2491098315710587638

[final solstice]

im so lost in the sauce rn

[neon iron]

me too

[final solstice]

.close

[topaz sinew]

Channel closed

Closed by @final solstice

Use .reopen if this was a mistake.

[neon iron]

Ez

[topaz sinew]

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.

[gilded edge]

Any ideas on this?

[topaz sinew]

@gilded edge Has your question been resolved?

[gilded edge]

No, unsurprisingly

[topaz sinew]

@gilded edge Has your question been resolved?

[gilded edge]

.close

[topaz sinew]

Channel closed

Closed by @gilded edge

Use .reopen if this was a mistake.

[topaz sinew]

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.

[molten crystal]

w_x shoud be a + Ax + By

no?

I'm not sure i understand what they did on 8. It seems they just started with this random function.

here's how it sounded to me:
the simplest function is this, but it's not valid for us cause it does not have interesting critical points so LOL why do i tell you. Here's a more complex function instead.

oh i'm eval w_x at zero. so... this means at x=0?
a+Ax+By eval at x=0 is a+By
shouldn't the partial be written with double zero to indicate where it has been eval?

it seems it is evaluated at origin, based on the result

[topaz sinew]

@molten crystal Has your question been resolved?

[topaz sinew]

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.

Channel closed

Channel closed due to the original message being deleted.
If you did not intend to do this, please open a new help channel,
as this action is irreversible, and this channel may abruptly lock.

[neon iron]

.close

[inner crypt]

can someone help me with this, i wasnt able to attend the class when our teacher tackled this

AB is a line 652 feet long on one bank of a stream, where A points to the north and B points to south, and C is a point on the opposite bank, directed to the east. m∠A = 53° 18' and m∠B = 48° 36'. Solve the distance from point A to C

[topaz sinew]

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.

[spark rain]

.

Quick one

[spark rain]

Is this right

[mellow arrow]

no

multiplying the inequality by -1 flips the sign of the inequality

[spark rain]

How ?

Let me caculate that

Yeah I did everything right

[spark rain]

What am I supposed to do the with the -1 ?

[mellow arrow]

case 2 line 3

you're multiplying by -1 on the next step

[spark rain]

Like this ?

I need to change the direction of the >

@mellow arrow

[restive inlet]

the work for each case still isn't quite complete.

doing casework like this, you'd also need to state restriction for the case

i.e. for case 1:, you're working under the condition that x+7 >= 0
and you need to state that
and determine where that overlaps with x<4

similar idea for case 2

[topaz sinew]

@spark rain Has your question been resolved?

[topaz sinew]

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.

[spark bison]

If there any formula for finding the smallest number to reach a palindrome after N iterations? For example, 89 is the smallest number to reach a palindrome after 24 iterations.

[long stirrup]

not enough context

i have zero guesses

[spark bison]

What context do you need?

[odd pagoda]

iterations of what

[spark bison]

Sorry, adding the numbers inverse. Example, 19 -> 19+91 -> 110 -> 110+011 -> 121.

[long stirrup]

i'll do oeis hack

[spark bison]

Found it, not really a formula, but it displays all of the smallest numbers. Thanks for suggesting oeis. Helped a lot.

.close

[topaz sinew]

Channel closed

Closed by @spark bison

Use .reopen if this was a mistake.

[topaz sinew]

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.

[exotic furnace]

how would i solve this integral

[exotic furnace]

would simpson’s rule work

[topaz sinew]

@exotic furnace Has your question been resolved?

[exotic furnace]

no

<@&286206848099549185> can anyone help

[neon iron]

yes

[exotic furnace]

i have the solution just not the steps if that helps in any way

[neon iron]

what is it

[exotic furnace]

all of these questions have to do w trig identities btw

[neon iron]

do you know this identity cos2A = 1-2sin^2A

[exotic furnace]

yes

[lone wadi]

Is tat hs math or beyond tat....

[neon iron]

its hs

[exotic furnace]

high school

[lone wadi]

Hate it when trig is used in int

[neon iron]

use it

[exotic furnace]

ill try wait

[neon iron]

yes

[exotic furnace]

what do i do then

i just made it more difficult

[neon iron]

show em

me

what you did

[neon iron]

(1-cos8x)(1-cos10x)(1/4)

did you get this

after using identity

[exotic furnace]

yh

[neon iron]

ok

now multiply

it

i mean

open the bracket

you get a term with (cos8x)(cos10x)

right ?

rest all other terms are good to integrate

do you follow ?

[exotic furnace]

so 1/4 integral (cos8x-1)(cos10x-1)

[neon iron]

yes

[exotic furnace]

alr i got it now thanks

.close

[topaz sinew]

Channel closed

Closed by @exotic furnace

Use .reopen if this was a mistake.

[topaz sinew]

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.

[golden flare]

is it the case that P(A | B) = P(A | B & C) + P(A | B & ~C)? Or is that invalid?

[opal vault]

yeah, invalid

counterexample : if C is independent from A and B, then the above statement would mean P(A|B) = 2P(A|B) (maybe doesn't require that C independent from B)

which would mean P(A|B) = 0, which isn't true necessarily

[golden flare]

thanks!

would you be willing to construct a proof for P(A | B) ≈ 1 entails P(A | B & C) ≈ 1

or is that not possible

?

(pls ping me)

[opal vault]

P(A|B and C) = P(A and C|B)/P(C|B)

[opal vault]

@golden flare here

and maybe we can do it differently

[golden flare]

P(A|B and C) = P(A and C|B)/P(A|B) so, if P(A and C|B) ≈ 0, then P(A | B) ≈ 1 does not entail P(A | B & C) ≈ 1

?

[opal vault]

just let Q(E) = P(E|B) where E is any event

Q is a probability

[golden flare]

what is the name of this law?

[opal vault]

definition of conditional probability with Q

Q(A|C) = Q(A and C)/Q(C)

[golden flare]

makes sense

[golden flare]

so is this correct?

[opal vault]

not really

[golden flare]

what is going wrong?

[opal vault]

you have to start from the fact that for any probability Q, if Q(A) = 1, then Q(A n C) = Q(C)

and then it becomes clear

[golden flare]

P(A | B) ≈ 1 means P(A & C | B) ≈ P(C | B)

but we want to show that it entails P(A | B & C) ≈ 1

[opal vault]

no, P(A|B) = 1 implies P(A & C|B) = P(C|B)

[golden flare]

sry, my bad

[opal vault]

then recall what P(A|B and C) was defined as

[golden flare]

using P(A|B and C) ≈ P(A and C|B)/P(A|B)
we have P(A|B and C) ≈ P(C|B)/P(A|B) then?

[golden flare]

okay how are we using it further?

[opal vault]

the first statement was not well writen

P(A|B and C) ≈ P(A and C|B)/P(C|B)

[golden flare]

indeed

[golden flare]

that doesn't really help

hmmm

[opal vault]

really?

[golden flare]

P(A | B) ≈ 1 entails P(A | B & C) ≈ 1

[opal vault]

even with this?

[golden flare]

ye, we need to prove that this is false, the expression you gave doesn't prove this

[opal vault]

uh

we have :

• P(A|B and C) = P(A and C|B)/P(A|B)
• P(A|B) = 1 implies that P(A and C|B) = P(A|B)

I don't know how to put it more straightforward than this

[golden flare]

LOGIC/PROBABILITY PROOF
there are 15 premises (you probably only need 4 of them tho)

1. P(A | B & C) ≈ 1
2. P(A | B) ≈ 1
3. P(~A | ~B & C) ≈ 1
4. P(~A | ~B) ≈ 1
5. P( ~A & C | ~B) ≈ 1
6. P(C & A | B) ≈ 0
7. P(~C & ~A | ~B) ≈ 0
8. P(C | A & B) ≈ 0
9. P(C | A & ~B) ≈ 0
10. P(C | A) ≈ 0
11. P(~C | ~A) ≈ 0
12. P(C | ~A & B) ≈ 1
13. P(C | ~A & ~B) ≈ 1 [I made a typo in my initial problem, sorry.... I accidentally didn't put this premise in there, but put premise 12 twice]
14. P(C | ~A) ≈ 1
15. P( ~C | A) ≈ 1

we want to conclude that ¬(P(B | ¬A & C) ≈ 1) it's very important that these are approximate premises. This for example, means that you cannot use P(C | ~A) ≈ 1 to mean if ~A then C, that makes an assumption that you would need to support, i.e. P(C | ~A) ≈ 1 ≠ P(C | ~A) ≈ 1. Curious to hear what you come up with. Ping me if you want some preliminary results

.close

[topaz sinew]

Channel closed

Closed by @golden flare

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.

[mental sorrel]

I need help to find a grammar of type 0 for the following language

[mental sorrel]

$L_1 = {a^n b^m c^{nm} \mid n, m \in \mathbb{N} }$

[thorny flame]

Ben

[topaz sinew]

@mental sorrel Has your question been resolved?

[topaz sinew]

@mental sorrel Has your question been resolved?

[mental sorrel]

.close

[topaz sinew]

Channel closed

Closed by @mental sorrel

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.

[mossy fable]

Can I get some help with number 8

[topaz sinew]

Please don't occupy multiple help channels.

[mossy fable]

I closed my previous one 😭

[neon iron]

hi

differentiate and solve for 0

find that x value and put it back into f(x) = 6

and youll have an equation for k

solve for k

[mossy fable]

But I get multiple x values 😭

Because the derivative is a quadratic

[neon iron]

differentiate again and find out which is the minimum value

[mossy fable]

.close

[topaz sinew]

Channel closed

Closed by @mossy fable

Use .reopen if this was a mistake.

[topaz sinew]

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.

[neon iron]

i cant understand thesenotes help

what are they tryna say

.close

[topaz sinew]

Channel closed

Closed by @wheat wedge

Use .reopen if this was a mistake.

[topaz sinew]

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.

[spare fractal]

Hi, can I please have help. I would appreciate it soo much. So I did this equation, and the black box is the simplified version but apparently it is incorrect

[spare fractal]

Help me

👹

[topaz sinew]

@spare fractal Has your question been resolved?

[topaz sinew]

@spare fractal Has your question been resolved?

[topaz sinew]

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.

[runic iron]

for the first one i got (2x)^2 = y but I'm not sure if i'm reading the question right... is it that for y = x it needs to be the same number as the prev equation .?

[pastel oracle]

that seems correct

[runic iron]

ugh... so this is basically trial and error .?

[pastel oracle]

trial and error for what?

[runic iron]

part (ii) lol

[pastel oracle]

so it wants you to solve x = (2x)^2?

[runic iron]

it's y = (2x)^2 and im not sure if i need 1 number or two

it SAYS two but where would they go..???

is it that its two possible values, so 2 answers?

[pastel oracle]

if I'm understanding the question correctly, I think you need to solve x = (2x)^2

[runic iron]

oohh ok

ok nvmd i dont really understand cause i got [square root y]/4 = x

[pastel oracle]

there shouldn't be a y

solve the equation x = (2x)^2

solve for x

[runic iron]

oh

[pastel oracle]

do you know how to solve it

[runic iron]

...trying and failing aha

[pastel oracle]

it's a quadratic equation

[runic iron]

sigh

It's getting late so this question could wait. I'll see to it tomorrow. Thank you for you're help though! 🙂

.close

[topaz sinew]

Channel closed

Closed by @runic iron

Use .reopen if this was a mistake.

[topaz sinew]

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.

[regal leaf]

whered i go wrong

[topaz sinew]

@regal leaf Has your question been resolved?

[regal leaf]

.close

[topaz sinew]

Channel closed

Closed by @regal leaf

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.

[deft harness]

I have a short question to get a width do i divide area by length and is the same for length do divide area with width

[brave acorn]

For a rectangle?

Yeah

[topaz sinew]

@deft harness Has your question been resolved?

[deft harness]

Mb i went go do something , just a rectangle?

[topaz sinew]

@deft harness Has your question been resolved?

[noble laurel]

@tiny yew

[topaz sinew]

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.

[fallow igloo]

What’s the result of this?

I don’t know how to apply formulas onto this question

[ivory sorrel]

Binomial expansion?

will be nasty , yes

but it works

,w (5x-3)^4 /x

[thorny flame]

Results provided by WolframAlpha

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

Requested by physicsrocks

[ivory sorrel]

so integrate $625x^4 -1500x^3+1350x^2-540x+81$

[thorny flame]

ƒ(Why am. I here)=I don't Know

[fallow igloo]

That’s large

Thanks 🙏

This is the original question, worth to be challenged

.close

[topaz sinew]

Channel closed

Closed by @fallow igloo

Use .reopen if this was a mistake.

[topaz sinew]

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.

[lofty moth]

How would this set of numbers be interpreted as?

[loud oasis]

the set of all real numbers x, such that sin(x) > 0

[lofty moth]

And would an element of that be pi/4

Since that’s a real number that satisfies sin(x)>0

[loud oasis]

yes

[lofty moth]

The set of numbers I posted above and the set of numbers here are identical right?

[loud oasis]

that set is the set of numbers satisfying sin(x) = 0, which makes it a different set

[lofty moth]

Isn’t it an interval though?

Like (5,9)

Means all the numbers between 5 and 9, exclusive

[loud oasis]

oh i see, it's using interval notation and set builder notation at the same time (which is a bit unusual)

[lofty moth]

So to conclude, they represent the same numbers right?

[loud oasis]

the way that interval is set up would include all real numbers other than multiples of pi

wait no, i'm misreading it

[lofty moth]

I think so. We could sub it k=0 to get (0, pi)

This is also when sin is positive

[loud oasis]

that seems to work, then

[lofty moth]

The only difference would be in HOW they represent them. The first method simply represents all the real numbers that satisfy sin(x)>0 while the other method represents the values in intervals

[loud oasis]

yes

[lofty moth]

Alright cool. Thanks a lot

.close

[topaz sinew]

Channel closed

Closed by @lofty moth

Use .reopen if this was a mistake.

[topaz sinew]

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.

[neon iron]

im kind of stuck

[topaz sinew]

@neon iron Has your question been resolved?

[neon iron]

<@&286206848099549185> sorry for the ping pls help

my attemp-

im pretty sure i did some mistake in rationalization or smth

its just very messed up

[regal charm]

why don't you square both sides?

and then implicit differentiation

[neon iron]

i mean thats what i did

[regal charm]

oh yeah i didn't notice

okay fine

the rest just looks like trivial algebra to me

but anyway

$y' = \frac{2x - 2y y'}{2 \sqrt{y^2 - x^2}}$

[thorny flame]

nyxie9151

[regal charm]

just cross multiply and isolate y'

[thorny flame]

nyxie9151

[regal charm]

move the 2yy' to the other side and yeah you're mostly done

[neon iron]

oHHH

ill try

i just took the wrong path

😿

done

Thnx a lot mate

[regal charm]

[neon iron]

.close

[topaz sinew]

Channel closed

Closed by @thin warren

Use .reopen if this was a mistake.

[topaz sinew]

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.

[hidden mauve]

Hello/I tried to do this question by susituting y=k-x, and then discrimant>0 with the equation from the substituo0n but I am not getting K values. Please help thankyou

[tawny spade]

If its tangent then discriminant = 0

Because it has only one point touching

[hidden mauve]

Yes still I am not getting the surd form though

.help

[topaz sinew]

Commands:

• clopen: .close, .reopen
• consensus: .poll
• factoids: .tag
• help: .help
• version: .version

Type .help <command name> for more info on a command.

[tawny spade]

x²+(k-x)²=2x
x²+k²-2kx+x²=2x
2x²-2kx-2x+k²=0
2x²-(2k+2)x+k²=0
D=(2k+2)²-8k²=0
4k²+8k+1-8k²=0
4k²-8k-1=0

Right?

[hidden mauve]

You facrorised wring here

[tawny spade]

Whoops

[hidden mauve]

should be -(2k-2

its ok

I figured it out btw

(-2k-2)^2-4(2)(k^2)=0 (disdcriminat equation)

expands to -4K^2+8k+4=0

calc leads to 1+-(root)2

check with desmos

So thanks

.close

[topaz sinew]

Channel closed

Closed by @hidden mauve

Use .reopen if this was a mistake.

[topaz sinew]

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.

[stuck ridge]

I just made a list on my notes on how to get the the missing sides with trigonometry. I just wanna know if i what i noted was factual

So basically

If opp is given
And your finding
Hyp = opp/Sin∅(jus act like this is theta)
Adj = opp/Tan∅

If Adj given
And finding
Hyp = Adj • Cos∅
Opp = Adj • Tan∅

If Hyp given
And finding
Opp = Hyp • Sin∅
Adj = Hyp • Cos∅

Is this factual?

[topaz sinew]

@stuck ridge Has your question been resolved?

[stuck ridge]

<@&286206848099549185>

[topaz sinew]

@stuck ridge Has your question been resolved?

[stuck ridge]

Anyone there?

[stuck ridge]

Why is it wrong?

Let me check

Oh my god your correct

Thanks

Is that the only one wrong?

Alright thanks.

.close

[topaz sinew]

Channel closed

Closed by @stuck ridge

Use .reopen if this was a mistake.

[topaz sinew]

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 glacier]

can i get help, preferrably visualised since english is not my first language

[topaz sinew]

@elder glacier Has your question been resolved?

[elder glacier]

<@&286206848099549185>

[vast dirge]

you can use the equation of tangente

[topaz sinew]

@elder glacier Has your question been resolved?

[topaz sinew]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[topaz sinew]

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.

[old plover]

How would I graph 4a?

[old plover]

Do I have, like, the right idea?

<@&286206848099549185>

I changed it to degrees, since that’s what we’re working w/

But where would I go from here?

[topaz sinew]

@old plover Has your question been resolved?

Channel closed

Closed by @old plover

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.

[mellow agate]

How is 3/4 wrong

[tawny spade]

6/48

Not 36/48

[mellow agate]

I keep making that mistake

Solving the square root then keeping it

What would 31. Be

Because 4 to the power of 4 is way over 21

So idk how that works

Just keep it as 21

Yeah

And rational fractional

So both

[thorny flame]

faiyrose

[mellow agate]

I knew

The other one

So how would I do 4^21

You can’t right

Unless you simplify it

Could you turn it into 21^1/4

Alright so that’s the answer

[thorny flame]

faiyrose

[topaz sinew]

@mellow agate Has your question been resolved?

[topaz sinew]

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.

Channel closed

Channel closed due to the original message being deleted.
If you did not intend to do this, please open a new help channel,
as this action is irreversible, and this channel may abruptly lock.

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.

[karmic summit]

Testing the significance of the least squares regression model, Stats and Probability

[karmic summit]

struggling to caculate the residuals thru the RESID function and giving me the wrong values

[topaz sinew]

@karmic summit Has your question been resolved?

[karmic summit]

<@&286206848099549185>

[topaz sinew]

@karmic summit Has your question been resolved?

[karmic summit]

.close

[topaz sinew]

Channel closed

Closed by @karmic summit

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.

[paper dust]

i need help with this

im stuck

the problems is to evaluate the limit, workin with it as a defined integrer

[topaz sinew]

@paper dust Has your question been resolved?

[dusky mango]

,rotate

[dusky mango]

@paper dust do you know how limit of sum tending to infinity can be converted to definite integration?

[paper dust]

not really

[paper dust]

.close

[topaz sinew]

Channel closed

Closed by @paper dust

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.

[scarlet spade]

Someone please help

i got 17.1 but i think i did it wrong

someone please help

wdym how

[vernal matrix]

How did you get 17.1?

[scarlet spade]

i set up an equation

cos(40)=(x-4)/x

then i just cross multiplied

[scarlet spade]

what did u get?

[vernal matrix]

Sounds good to me, how does that work out?

[scarlet spade]

but idk i think i had an algebra issue

what answer did u get tho?

[vernal matrix]

We don't give solutions here

[vernal matrix]

And well, there's one way to find out!

[scarlet spade]

what?

[vernal matrix]

I'm saying you should explain the other steps you did from that point

(and also I think it's fine, so why do you think it's wrong?)

[topaz sinew]

@scarlet spade Has your question been resolved?

[topaz sinew]

@scarlet spade Has your question been resolved?

[scarlet spade]

someone

please help

[neon iron]

use cosine formula

[verbal crater]

cosine law 👍

[scarlet spade]

I got 16.9

Is that correct?

[verbal crater]

lemme check

[verbal crater]

yeah

[scarlet spade]

Alr thx

[scarlet spade]

U think i could dm for the next time i need help?

It kinda takes a while for people to respond here

[verbal crater]

well i also might take a while to respond because of time differences and stuff

but if you want you can

[scarlet spade]

Oh well while ur still online could u help me with this other one too?

[verbal crater]

sure

[scarlet spade]

I need to solve for h

I got about 50

[verbal crater]

lemme try this

[verbal crater]

49.95

about 50 seems good

[scarlet spade]

Wow u solved it quick

Wait can I see how u solved it?

Or did u not write it down

[scarlet spade]

Hm

Alr

[verbal crater]

oh thats for x btw

[scarlet spade]

Ik I was a little confused

So how did u solve for h once u got x?

[verbal crater]

put it back into tan(55) = h/x

[scarlet spade]

Oh alr

Sorry to bother again, but could u show me the steps to solve this problem?

[scarlet spade]

I got an answer before but now I forgot how to solve it

[verbal crater]

sin(50) is just a number

so multiply the x to the other side

put all x one side

solve

[scarlet spade]

I’m stuck

[verbal crater]

you have xsin(50) and x on the left

so you can?

[scarlet spade]

Wdym

[verbal crater]

you have xsin(50)

and you have x

they both have a common x

so you can?

[scarlet spade]

Uh

Factor out something?

[verbal crater]

yep

[scarlet spade]

I don’t think I’ve been taught this before

What am I supposed to factor out

[verbal crater]

what do you see that can be factored

[scarlet spade]

Well the x

[verbal crater]

ok good

[scarlet spade]

But like how?

[verbal crater]

x - sin(50)x

factor the x

x(1 - sin(50))

[scarlet spade]

What the flip

How does it become a 1

I’m so confused

Ohhh

[verbal crater]

think of factoring is like dividing

x / x is 1

[scarlet spade]

When u distribute it becomes back

Alr I think I get it

X is about 17.1?

[scarlet spade]

Tysm

[verbal crater]

yep

[topaz sinew]

@scarlet spade Has your question been resolved?

[topaz sinew]

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.

[proper dagger]

Is this as simple as 8C3 + 10C4?

[opal vault]

when you do 8C3 + 10C4, it means in english that you EITHER choose 3 men out of 8 OR choose 4 women out of 10

which isn't what you want is it @proper dagger ?

what operation symbolizes that you choose .... AND choose ....?

[proper dagger]

Ohh I see, a multiplication would work here

[opal vault]

yes

[proper dagger]

Yep, thank you that makes sense

.close

[topaz sinew]

Channel closed

Closed by @proper dagger

Use .reopen if this was a mistake.

[topaz sinew]

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 pasture]

hey this is gonna be a very weird question but can someone teach me how to find the area of a parabola/curve between the axis?

[south pasture]

i watched a few tutorials but i dont get it since i dont know anything abt calc

i need to learn it today as soon as possible

[topaz sinew]

@south pasture Has your question been resolved?

[topaz sinew]

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.

[deft holly]

post your question or close the channel

[topaz sinew]

Channel closed

Closed by @hidden anchor

Use .reopen if this was a mistake.

[topaz sinew]

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 pasture]

Hey can someone help me with this

[south pasture]

.

[winter egret]

Which tutorial did you watch and which part did you not get

[azure parrot]

Take the Integral of the curve between two points

[topaz sinew]

@south pasture Has your question been resolved?

[topaz sinew]

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.

[ivory sorrel]

$\frac{dy}{dx}=\frac{\left(2x^2+y^2\right)}{2xy-x^2}$

[thorny flame]

ƒ(Why am. I here)=I don't Know

[ivory sorrel]

Solve this

so I started by dividing by $x^2$

[thorny flame]

ƒ(Why am. I here)=I don't Know

[ivory sorrel]

$\frac{dy}{dx}=\frac{\left(2+\left(\frac{y^2}{x^2}\right)\right)}{\frac{2y}{x}-1}$

next $\frac{y}{x}=u$

[thorny flame]

ƒ(Why am. I here)=I don't Know

ƒ(Why am. I here)=I don't Know

[ivory sorrel]

$u+\frac{xdu}{dx}=\frac{\left(2+\left(u^2\right)\right)}{2u-1}$

[thorny flame]

ƒ(Why am. I here)=I don't Know

[ivory sorrel]

which is

$\frac{xdu}{dx}=\frac{\left(2+\left(u^2\right)\right)}{2u-1}-\left(\frac{u\left(2u-1\right)}{2u-1}\right)$

[thorny flame]

ƒ(Why am. I here)=I don't Know

[ivory sorrel]

or

$\frac{xdu}{dx}=\frac{-u^2+u+2}{2u-1}$

[thorny flame]

ƒ(Why am. I here)=I don't Know

[ivory sorrel]

which can be re-written as

$\frac{dx}{x}=\frac{\left(2u-1\right)}{-u^2+u+2}du$

[thorny flame]

ƒ(Why am. I here)=I don't Know

[ivory sorrel]

which I feel is wrong

as all the options have square roots

[ivory sorrel]

This would. , btw have the soln $\ln\left(\frac{1}{x}\right)=\ln\left(C\left(u^2+u+2\right)\right)$

[thorny flame]

ƒ(Why am. I here)=I don't Know

[ivory sorrel]

or

$\ln\left(\frac{1}{x}\right)=\ln\left(C\left(\frac{y^2}{x^2}+\frac{y}{x}+2\right)\right)$

[thorny flame]

ƒ(Why am. I here)=I don't Know

[ruby mural]

Is the final ans in form of y= something?

[ivory sorrel]

yes

[ruby mural]

Oh then you can solve further

Try isolating y and write it in terms of x

[ivory sorrel]

$\ln\left(\frac{1}{x}\right)=\ln\left(C\left(\frac{y^2+yx+x^2}{x^2}\right)\right)$

[thorny flame]

ƒ(Why am. I here)=I don't Know

[ivory sorrel]

which is

$\frac{1}{x}=C\left(\frac{y^2+yx+x^2}{x^2}\right)$

[thorny flame]

ƒ(Why am. I here)=I don't Know

[ruby mural]

Right

[ivory sorrel]

like this?

[ruby mural]

Yeah now solve the quadratic in y ig

[fervent crag]

Where did the 2 go

[ruby mural]

Oh yeah

2x² not x²

[ivory sorrel]

what 2

[ruby mural]

Here

[fervent crag]

Here

[ivory sorrel]

oh

$\frac{1}{x}=C\left(\frac{y^2+yx+2x^2}{x^2}\right)$

[thorny flame]

ƒ(Why am. I here)=I don't Know

[ivory sorrel]

so this is right

$x=C\left(y^2+yx+2x^2\right)$

now i solve this as a quadratic in y , I suppsoe?

[ruby mural]

LHS is just x

[fervent crag]

X on lhs

[thorny flame]

ƒ(Why am. I here)=I don't Know

[ruby mural]

Yup

[thin adder]

ew

i mean the solution is nasty lol

[ruby mural]

Lol

[craggy haven]

just quadratic formula

[ivory sorrel]

yeah

[thin adder]

yeh but gonna be some weird radical

[ivory sorrel]

thanks

[torpid sparrow]

It is not that bad

[ivory sorrel]

I think I'll just ask wolfram to do it, doubt this will come in my exam

[ruby mural]

Wolfram op

[ivory sorrel]

,w solve $x=C\left(y^2+yx+2x^2\right)$ as a quadratic in y

[thorny flame]

Results provided by WolframAlpha

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

Requested by physicsrocks

[thin adder]

lol

[torpid sparrow]

😹

[ivory sorrel]

guess, I'll do it

lol

[thin adder]

prob doesn't know what x or y is

2 variables

[torpid sparrow]

The input is wrong

[craggy haven]

,w solve x = C(y²+yx+2x²) for y

[thorny flame]

Results provided by WolframAlpha

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

Requested by kitten.in.a.teacup

[craggy haven]

oh

,w solve x = c*(y²+yx+2x²) for y

[thorny flame]

Results provided by WolframAlpha

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

Requested by kitten.in.a.teacup

[thin adder]

could honestly just replace x with a so it knows it's a ocnstant

oh there you go

[ivory sorrel]

yeah that checks out

thanks so much everyone!

and sorry for wolfram

.close

[topaz sinew]

Channel closed

Closed by @ivory sorrel

Use .reopen if this was a mistake.

[topaz sinew]

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.

[snow gyro]

what is equivalent statements

[topaz sinew]

@snow gyro Has your question been resolved?

[topaz sinew]

@snow gyro Has your question been resolved?

[topaz sinew]

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.

[signal fog]

how would i do part A? do i do D-A = C-B?

[lone dune]

d - a = some multiple of (c - b)

[signal fog]

so i got (10, 24) = Lambda (50, 120)

oh so lambda is 5 so its parrallel

how woudl i do part b?

[lone dune]

find the perimeter of the shape

[signal fog]

so DA + AB + BC + CD?

[lone dune]

the lengths of

[signal fog]

so would i do trig to find magnitude?

[lone dune]

no just pythagoras

[signal fog]

yer thats what i meant

[signal fog]

so 52 seem correct? i got (20, 48) and did pythagoras to get 52

[lone dune]

did you do |DA + AB + BC + CD|

[signal fog]

how was i supposed to do it?

[lone dune]

pretty sure you need to do |DA|+|AB|+|BC|+|CD|

if you do DA + AB + BC + CD correctly you should get (0, 0) I think

but that's not what you need to do

[signal fog]

i got 291.45

[lone dune]

so that's the distance for 1 lap

[signal fog]

x2 and then divide by 5?

[lone dune]

5 minutes

you need it in km/h

[signal fog]

ight i got 6.99 km/hr

i think thats correct

ty for the help

.close

[topaz sinew]

Channel closed

Closed by @signal fog

Use .reopen if this was a mistake.

[topaz sinew]

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.

[rocky dock]

calculating this

i need help

[rocky dock]

i don’t know what to do

[obsidian solstice]

The slope is the height divided by the length. Find both and then divide

[rocky dock]

i know but that doesn’t really help me

[obsidian solstice]

You already know one of the two numbers

[rocky dock]

i am confused as to how to find the other one

[obsidian solstice]

You have a small triangle at the right

With height 3

And length 15-10

Do you agree?

[rocky dock]

yes

[obsidian solstice]

And that triangle is similar to the whole big triangle

[rocky dock]

it is 1/3 of the length of the big one that’s all i really figured out

but what would i do with that information

[obsidian solstice]

So if the length of the big one is 3 times the small one, how much longer will be the height?

[rocky dock]

the height would be 9 ft ?

[obsidian solstice]

Yes

And that works because the triangles are similar

[rocky dock]

so would the slope be 9/15

or 3/5

[obsidian solstice]

Yes, but maybe it could be -9/15 because of how it is drawn

[obsidian solstice]

It's the same number

[rocky dock]

oh

yes

could you help me with this follow up question too

never mind

i understand it

tysm 😊

.close

[topaz sinew]

Channel closed

Closed by @rocky dock

Use .reopen if this was a mistake.

[topaz sinew]

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.

[wispy burrow]

is it possible to find the rotations per second from this?

this is the data from an accelerometer that was on a rocket

the radius from the senter of the rocket to the accelerometer was 0.031 m

I've tried to find it myself but it has been hard

I've tried to find ω

can someone help?

the x axis is t measured in seconds

the y axis is the acceleration measured in g's

[topaz sinew]

@wispy burrow Has your question been resolved?

[wispy burrow]

<@&286206848099549185>

[topaz sinew]

@wispy burrow Has your question been resolved?

[wispy burrow]

<@&286206848099549185>

[warm cipher]

Sou analfabeto caralho

[neon iron]

idk

that's advanced level for me

to reach yet

[warm cipher]

Sabe português?

[wispy burrow]

?

[wispy burrow]

can someone help with this

.close

[topaz sinew]

Channel closed

Closed by @wispy burrow

Use .reopen if this was a mistake.

[topaz sinew]

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 bone]

hi, this is a picture from my diffeq teacher's notes. I was wondering if anybody knew why f(x) changed from x^4e^x to x^2e^x

[opal bone]

hes using variation of parameters

[topaz sinew]

@opal bone Has your question been resolved?

[topaz sinew]

@opal bone Has your question been resolved?

[topaz sinew]

@opal bone Has your question been resolved?

[topaz sinew]

@opal bone Has your question been resolved?

[topaz sinew]

@opal bone Has your question been resolved?

[radiant marlin]

for wronskian stuff you want the y'' part by itself, so they divide by x^2 in the beginning to solve y'' - 2/x*y' +2/x^2y=x^2e^x https://tutorial.math.lamar.edu/classes/de/wronskian.aspx

[opal bone]

Ah I see

[radiant marlin]

for example

[opal bone]

Does everything else being divided by the x^2 not really matter in this case

Acc I get it

Thanks

.close

[topaz sinew]

Channel closed

Closed by @opal bone

Use .reopen if this was a mistake.

[topaz sinew]

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.

[next epoch]

hello

[sharp atlas]

hi

[next epoch]

<@&286206848099549185> I NEED help with this questiom

hi relu

i m not sure but i wanna know the asnwer for this question....

[sharp atlas]

turn km/h to m/s

[next epoch]

can yuo please tell me the answer?

[sharp atlas]

🙄

[next epoch]

so i can know? and I will try to do working out

[ocean terrace]

relu

[sharp atlas]

what?

[ocean terrace]

nice optimisation equation

[sharp atlas]

which one?

huh

what

[sharp atlas]

ur answer is b btw

[next epoch]

can you guys please tell me the asnwer?

[next epoch]

yo i got it correct....

[ocean terrace]

y=0, x<0
y=x otherwise

[next epoch]

thanks

[sharp atlas]

what about it

[ocean terrace]

relu

[sharp atlas]

what

[ocean terrace]

😭

search relu

[sharp atlas]

oh rectified linear unit

yeah

ik

[ocean terrace]

yes

[sharp atlas]

its just my name lmao

[ocean terrace]

my fav

[sharp atlas]

like my irl name

[ocean terrace]

:0

cool name

[next epoch]

ur pofile f]pic a bit of

[sharp atlas]

what?

[sharp atlas]

its short for aurel but my parents hate me so they called me the nickname

[past thorn]

Think by yourself!

[sharp atlas]

nah he just wants his homework done

[topaz sinew]

@next epoch Has your question been resolved?

[topaz sinew]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[topaz sinew]

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 pasture]

Hey can someone tell me whether this is correct

[keen scaffold]

Firstly, what value did you get for cos(x) after using pythagorean identity?

[south pasture]

Let me send

[keen scaffold]

The answer -0.5802469... is correct, but that is not the same as -29/50

[thin adder]

$\sin x=\frac{8}{9} => \cos x=\sqrt{1-\frac{8^2}{9^2}} \text{ and } \sin(2x) = 2\sin x \cos x$

[thorny flame]

Obotron

[keen scaffold]

cos(2x) = cos^2(x) - sin^2(x), not the sin(2x) identity

[south pasture]

i got another question can u help

[south pasture]

Alr

[keen scaffold]

It's the same as -47/81 btw

[keen scaffold]

Sure

[south pasture]

Idk what to do here

[south pasture]

Thabks a lot

[topaz sinew]

@south pasture Has your question been resolved?

[thin adder]

differentiate the equation: g(x) = xf(x)

using the product rule

[south pasture]

Is it -16

[south pasture]

i did

[thin adder]

i dont think so

what did you get for the derivative?

[south pasture]

idk man im confused i think i did it wrong

like

idk how to explain

[thin adder]

it would be easier if you could show me or write how you differentiated

then i could point out the mistake

[south pasture]

i did smthn like this but then continued on my head

[south pasture]

okay i got -28 and i moved on with the question

still, thanks

.close

[topaz sinew]

Channel closed

Closed by @south pasture

Use .reopen if this was a mistake.

[topaz sinew]

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.

[chilly walrus]

,rccw

[chilly walrus]

which question

[languid marsh]

21 and 22

[chilly walrus]

for 21

[topaz sinew]

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

[languid marsh]

I dojt know how to begin

What advantages does "pq is the midpoint of rst" even give us

[chilly walrus]

okay so

[chilly walrus]

length of midsegment is always half of the base

[languid marsh]

Always??

[chilly walrus]

yes

[languid marsh]

so if the teacher brings midsegment then its always half the base

But

Why isnt this true for trapezoid

Oh wait

Wait

I got it

[chilly walrus]

that's a different story :)

[languid marsh]

This is the point

Ok thanks

Q22?

[chilly walrus]

find DL first

which is the midsegment of the triangle

[languid marsh]

Oh

Dl is 12

[chilly walrus]

yes

[chilly walrus]

a similar property is true actually, the midsegment is the average of two bases, i.e. midsegment = 1/2 * (a+b) where a and b are the bases

[languid marsh]

Yes i got it

So we will say

pq=1/2rt

?

Or 2pq=rr

Rt

[chilly walrus]

which question are we talking about

i thought we moved on to 22 already

[languid marsh]

22 was too easy

they were both easy

[chilly walrus]

okay lol

[languid marsh]

but idk why i didnt know

[chilly walrus]

doesn't matter, they are completely equivalent

[languid marsh]

oh

Thank u soooo much

[chilly walrus]

no problem!

if you are done, type ".close"

[topaz sinew]

@languid marsh Has your question been resolved?

Channel closed

Closed by @languid marsh

Use .reopen if this was a mistake.

[topaz sinew]

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.

[charred ivy]

can anyone help wit this?

[woeful drift]

!status

[topaz sinew]

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

[stable minnow]

pretty bad question in my op

[charred ivy]

yea im in a quiz rn and i aint learn this

[stable minnow]

I think you should plug in each point to the equation

[woeful drift]

Quiz?

[stable minnow]

then you will have 4 equations of C and D

and try and find some C and D that best expresses them

[woeful drift]

That's not how you find a best fit line

[stable minnow]

well no

but i would use python

so this is goofy

[charred ivy]

mhmm, okay i tried chatgbt and it gave the eq y=2 +(3/5t)

idk if thats correct and im trying not to fail 💀

[stable minnow]

☠️