help-26

[sweet shard]

That's wrong. a_n depends on n

[oak root]

it seems like it's even harder

ill think about it but i have another question

f continuous

is that obvious that g(x)=f(x)-x=0 has at least one root?

@sweet shard

.close

[topaz sinew]

Channel closed

Closed by @oak root

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.

[frosty nacelle]

how is this wrong

my work

oh whoops

i forgot to do the whole other part

[neon iron]

what was that part?

[frosty nacelle]

like the 3/4 part

[neon iron]

oh wow

[topaz sinew]

@frosty nacelle 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.

[tulip glacier]

found the first eigenvalue

[tulip glacier]

unsure what to do next

[split igloo]

Find the second one

[tulip glacier]

idk how

[split igloo]

Roots of charpoly

[tulip glacier]

i got there but don't think i did it right...

[pastel oracle]

show your work

[tulip glacier]

i think i found what i did wrong

imma try working through it again

cool got it

.close

[topaz sinew]

Channel closed

Closed by @tulip glacier

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.

[thick rune]

Can someone please explain to me how after substituting they were able to Get the next step please

[thick rune]

After subbing B0

Or help fill in blank steps

That help me see it more clearly

[pastel oracle]

I have to go in a minute but you can try substituting it yourself

note that they distribute with the second X_i in the summation

[topaz sinew]

@thick rune Has your question been resolved?

[topaz sinew]

@thick rune Has your question been resolved?

[topaz sinew]

@thick rune 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.

[rancid rock]

Help please

[rancid rock]

These are the two equations I have

For profit for both stores

Store 1: profit=0.20x-x

X being the cost

And store 2: profit=0.35x-x

I don’t know if I’m doing this incorrectly

<@&286206848099549185>

[topaz sinew]

@rancid rock Has your question been resolved?

[topaz sinew]

@rancid rock Has your question been resolved?

[rancid rock]

I got it

[topaz sinew]

Channel closed

Closed due to the original message being deleted

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'm stuck

[gray ridge]

you didnt find dx/du, you just plugged in x into dx

[neon iron]

I'm so confused

oh

i needed to

yes

dx =

[gray ridge]

yea

[neon iron]

So it becomes this

[gray ridge]

hmmm

weird

one thing

is the original question $\int \frac{x}{x²-3} \dd x$

[thorny flame]

OldBiscuit

[neon iron]

yes

[gray ridge]

then....

u=x²-3 will be enough

[neon iron]

[gray ridge]

i thought it was 1/(x²-3) lol

[neon iron]

so this?

😭

So trig sub was just a waste of time

thank you

.close

[topaz sinew]

Channel closed

Closed by @coarse lynx

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.

[flat steppe]

my tutor was working on this with me, and they kinda botched the explanations

can someone help explain the work she did for me?

.close

[topaz sinew]

Channel closed

Closed by @flat steppe

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.

[astral blaze]

i think its false

A1 = 1 A2 = 1 2 A = 1 2 3

so A1 and A2 are p subsets of A

and A1 is p subset of A2

[neon iron]

what function are you using for your example?

[astral blaze]

f(x) = x/x

[astral blaze]

but i think thats wrong lol

just realized x/x isnt a function

but im still sure its wrong

[neon iron]

f(x)=1 is a function

[astral blaze]

it is?

[topaz shard]

Yes

[astral blaze]

hm ok then my counterexample works right?

cause f(a1) = 1 and f(a2) = 1 therefore they not proper subsets

[neon iron]

indeed

[odd pagoda]

please dont forget the brackets {}

[topaz sinew]

@astral blaze Has your question been resolved?

Channel closed

Closed by @astral blaze

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 epoch]

Wanted to ask if I’m right on these

[topaz sinew]

@modern epoch Has your question been resolved?

[modern epoch]

<@&286206848099549185>

[modern epoch]

.close

[topaz sinew]

Channel closed

Closed by @modern epoch

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 spoke]

Hey, this is quite basic but I would really like for someone to verablly explain this part from Serge Lang's "Basic Mathematics" to me. Also, the "proof left as an exercise (N10)" didn't ring any bells. I would appreciate some help.

[delicate spoke]

Basically, I don't understand the correlation between -(ab) = (-a)b = a(-b) and (-1)(-1) = -(1(-1)) = -(-1) = 1

Sorry for my lack of LaTeX knowledge

[hazy pumice]

I don't know what that guy is trying to say

I like this proof:

[delicate spoke]

can you send me a link by any chance?

[topaz sinew]

@delicate spoke Has your question been resolved?

[hazy pumice]

https://davidwees.com/content/why-is-a-negative-times-a-negative-positive/#:~:text=Using the fact multiplication is,a negative is a positive.&text=Since we know that −ab,(−b) is positive.

[topaz sinew]

@delicate spoke Has your question been resolved?

[delicate spoke]

hey sorry if I'm keeping the channel for too long, I just want to learn what the author meant exactly

[topaz sinew]

@delicate spoke Has your question been resolved?

[topaz sinew]

@delicate spoke Has your question been resolved?

[glacial pumice]

you are asking why negative times negative becomes positive?

@delicate spoke

[delicate spoke]

no, not necessarily

I'm asking for a verbal explanation of the proof

[glacial pumice]

right

[delicate spoke]

this part

[glacial pumice]

Imagine you are playing a video game, in the game you have 2 types of boxes, boxes with +2 points and boxes with -2 points.

3*2=6, meaning you have gathered 3 boxes of +2 points each. 3*(-2)=-6, meaning you have gathered 3 boxes of -2 points each. (-3)*2=-6, meaning you have gotten rid of 3 boxes of 2 points each. And now to (-3)*(-2)=6, think of it as you getting rid of 3 boxes of -2 points each, which is a positive thing.

its not showing my miltiply sign but you get it

[delicate spoke]

hmm yeah I get it

hey, surround your message in `` signs so it will show the *'s

thanks for the explanation

.close

[topaz sinew]

Channel closed

Closed by @delicate spoke

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.

[topaz sinew]

Channel closed

Closed due to the original message being deleted

[rancid rock]

Answer choices:
A) a is larger
B) b is larger
C) both are equal
D) no relationship

[pastel oracle]

any more info?

[rancid rock]

That’s it

[pastel oracle]

then I'd say it can't be determined

[rancid rock]

I thought maybe we make a Venn diagram

The answer is A

[pastel oracle]

hmm

[rancid rock]

I thought it was D too

Because they didn’t give the number of students

But that’s not right

[compact moss]

if there were an even number of students you would have 82+88+90/3 for all 3

,calc (82+88+90)/3

[thorny flame]

Result:

86.666666666667

[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.

[rancid rock]

I still don’t understand

[rancid rock]

Answer choices:
A) a is larger
B) b is larger
C) both are equal
D) no relationship

[compact moss]

,calc (82+88+90)/3

[thorny flame]

Result:

86.666666666667

[compact moss]

this would be the arithmetic mean of all 3 classes if the number of students were equal in all 3

but the actual arithmetic mean they told you is 86

[rancid rock]

Why would you do that

How do you know it’s even number of students

[compact moss]

im saying IF

so since its not the same there is not equal

$86.67\neq 86$

[thorny flame]

Køter

[compact moss]

so since its lower that must mean there are more in class 1

make sense or no?

[rancid rock]

A little but not really

[compact moss]

ok i will create hypothetical example

[rancid rock]

Ok

[compact moss]

there are 2 classes

in class 1 there are 10 people

in class 2 there's 1 person

[rancid rock]

Ok

[compact moss]

class 1 had average of 50

meanwhile class 2 has average of 100

you should be able to see that the actual mean is gonna be alot closer to 50 right?

becasue the 10 people weigh more

if there was also 10 people in class 2 with average 100

the average over both classes would be (100+50)/2 =75

[rancid rock]

Yes

[compact moss]

so here its the same

if you assume there are equal people in all 3 classes

the mean should be 86.67

but they told you its lower

[rancid rock]

Yeah

[compact moss]

which means that class 1 with the avg of 82 had to have weighed more

[rancid rock]

Yeah I thought it was B because the average is higher

It’s 90 for the average and so I thought that weighed more

[rancid rock]

Confused with this part

[compact moss]

they gave us 86 as the TRUE mean

and 86 < 86.67

[rancid rock]

Yes

[compact moss]

so something must have been weighing the mean down

to go from 86.67 to 86

[rancid rock]

Ok I see

I get it

[pastel oracle]

good observation, that's a tricky one

[rancid rock]

Thank you! @compact moss

.close

[topaz sinew]

Channel closed

Closed by @rancid rock

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.

[crisp raptor]

when calculating a surface integral of vector field how do I know if the cross product of the 2 unit vectors is are the right order

[topaz sinew]

@crisp raptor Has your question been resolved?

[crisp raptor]

<@&286206848099549185>

I hope my question is stated clear enough

[remote elk]

I guess what you can do is do it for a point

And see if it point outwards of the surface

Choose a point

[crisp raptor]

so just testing for a few points?

[remote elk]

Yeah thats what i do

But that mostly works for shapes you know how to look

[topaz sinew]

@crisp raptor Has your question been resolved?

Channel closed

Closed by @crisp raptor

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[buoyant girder]

can someone help me with this

[buoyant girder]

B from A

[supple ocean]

think about anglesin a triangle

[buoyant girder]

what

[supple ocean]

think

about angles in a triangle

as in what do they add to

[topaz sinew]

@buoyant girder Has your question been resolved?

[buoyant girder]

200

[supple ocean]

no they do not

[buoyant girder]

180

[buoyant girder]

it's 1 80

[lime karma]

Fun fact, a triangle inscribed on a sphere has sum of angles more than 180°

[topaz sinew]

@buoyant girder Has your question been resolved?

[buoyant girder]

bruh

[grand carbon]

Perhaps I can help?

First use the sum of the angles in the triangle to solve the angle at point A

Specifically the angle inside the triangle

Then use that and the fact that you have that vertical line and you would then know 2 of the angles that make that part at point A to solve for the bottom angle at point A (not inside triangle)

I think that should give you enough information to solve the problem

Please let me know if you’d like me to walk through it a bit more

[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.

[rugged idol]

this is part of an induction proof. From the requirement we know that $\sum_{i=1}^{2^n} 1/i \geq 1 + 1/n$
What I dont get is why we know that $\sum_{i=2^n + 1}^{2^{n+1}} 1/i = \sum_{i=1}^{2^n} 1/(2^n +i)$

Can someone explain why this is equal ?

[thorny flame]

barış

[rugged idol]

oh my bad, it's not supposed to be equal, its supposed to be less or equal

.close

[topaz sinew]

Channel closed

Closed by @rugged idol

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.

[rancid rock]

Very wordy but I’ll try to break it down

I understand that Judy=6.2+M

M=mean

M=total/25

Judy=6.2+(total/25)+10

Recalculated average: 10(total)/25

Am I on the right track?

I tried breaking it down

[glad cliff]

I followed until the recalculated average...

[rancid rock]

Hmm okay

[glad cliff]

The recalculated average is?

(total + 10)/ 25

isn't it?

@rancid rock

[rancid rock]

What if each student gets 10 points

I am not sure

[glad cliff]

If each student gets 10 points, the average goes up by 10

[rancid rock]

That’s true

Ok then it is +10

[glad cliff]

But in the question it says that only judy got 10 points right?

[rancid rock]

(Total+10)/25

[glad cliff]

yes

[rancid rock]

Yes but why is it asking for recalculated

It’s asking Judy’s score how much bigger than recalculated

[glad cliff]

Because the avereage has changed, and judy's score has changed, so the difference has changed

(Judy's new score) - (Recalculared average) = Recalculated difference

[rancid rock]

Yes

[glad cliff]

So you only need to substitude

[rancid rock]

So is it not +10 for recalculated

Since only Judy got 10 points

That was my confusion

[glad cliff]

Yes, so it's (total+10)/25

Because only judy got 10 points

[rancid rock]

What if everyone got 10 points

How would the equation change

[granite hull]

hmm

[glad cliff]

So recalculated avg = old avg + 10

[granite hull]

25(10)/25 right?

[glad cliff]

yes (Total + 25 * 10)/25

Because all 25 students got 10 more

[granite hull]

right

[rancid rock]

Yes that’s what I thought

For each student

But in this case it’s only judy

So it would just be (total+10)/25

[glad cliff]

correct

[rancid rock]

Then do we solve for total

Or how do we get Judy’s and recalculated score

[glad cliff]

Just substitude what you already know

(Judy's new score) - (Recalculared average) = Recalculated difference

You need to find recalculated difference

Hope that total will just cancel out

[rancid rock]

Let me try it

Not sure how to do it

Looks complicated

[glad cliff]

It's very simple

try again

(Judy's new score) = 16.2 + Total/25

(Recalculared average) = Total/25 + 10/25

Substract

@rancid rock

[rancid rock]

Ohhhh I see what you did

You put 25 under total and 10

Okay it would be 16.2+10/25

[glad cliff]

16.2 - 10/25

[rancid rock]

Sorry yes

Minus

[glad cliff]

Yes

[rancid rock]

15.8

[glad cliff]

Correct

[rancid rock]

That would be the answer

[glad cliff]

👍

[rancid rock]

Thank you!!

[glad cliff]

You are welcome

[rancid rock]

.close

[topaz sinew]

Channel closed

Closed by @rancid rock

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.

[snow token]

Is it true that the function $\lim_{x \to 2} \frac{x^2-4}{x-2}$ has no vertical and horizontal asymptotes?

[thorny flame]

Bennxy

[grim jacinth]

Correct

The limit part makes the expression equal to a number

But the function inside the limit does have no asymptotes

You can graph it on Desmos to see it

[snow token]

Yeah I saw that it was a linear line

[grim jacinth]

It appears that way at least

[snow token]

But wasn't sure if it did or didn't has a asymptote

[grim jacinth]

Asymptotes you can tell visually

[snow token]

But thank you for confirming it for me

.close

[topaz sinew]

Channel closed

Closed by @snow token

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.

[frosty nacelle]

Am I doing something wrong?

[sweet shard]

3.2 west

[frosty nacelle]

ffs

these small mistakes

[frosty nacelle]

to find the angle isnt it tan^-1(-0.6/-3.2)

[topaz sinew]

@frosty nacelle 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.

[buoyant girder]

can someone help me somve these?
now for a i understand that the ∩ in both A and B, i i wrote my answer as {x E Z^2} but it was wrong

[buoyant girder]

this is the answer

[topaz sinew]

@buoyant girder Has your question been resolved?

[topaz sinew]

@buoyant girder Has your question been resolved?

[buoyant girder]

.close

[topaz sinew]

Channel closed

Closed by @buoyant girder

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.

[neon iron]

Hi!
I was wondering if anyone could help me find the apothem of a pentagon easily.
I have been struggling and not been able to wrap my head around it.

[neon iron]

.close

[topaz sinew]

Channel closed

Closed by @empty phoenix

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.

[cursive gazelle]

How to find 1% of 689

[mellow arrow]

That is simply one hundredth of 689

[topaz sinew]

@cursive gazelle Has your question been resolved?

[gleaming thunder]

689 * 1/100

[cursive gazelle]

Who invented %?

[frosty tusk]

The concept of percentage was not developed by any person. The percentage concept originated throughout History. In Ancient Rome, Mathematical calculations were expressed in fractions of 100. This concept later originated in Percentage.

(I didnt type that) i copied and pasted

[cursive gazelle]

Who invented %?

[frosty tusk]

Huh?

[frosty tusk]

here

[topaz sinew]

@cursive gazelle Has your question been resolved?

[cursive gazelle]

why

[frosty tusk]

IDK

maybe to make fractions and test marks easier

[cursive gazelle]

Why can’t it be 1/250?

Why 100

[frosty tusk]

idk bro

[topaz sinew]

@cursive gazelle Has your question been resolved?

[bleak mirage]

because its just convenient, especiallly for our decimal number system

[cursive gazelle]

Whyyyy

[minor zealot]

what the dude said

[bleak mirage]

yea

1/100 of a dollar is a cent

1/250 is like a fraction of a cent

things like that make hundreths more usable

[cursive gazelle]

No

[trim sable]

He’s got a point

[topaz sinew]

@cursive gazelle Has your question been resolved?

[neon iron]

.close

[topaz sinew]

Channel closed

Closed by @eager tundra

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.

[karmic anchor]

Struggling with calculus question

[karmic anchor]

Is anyone there to help

[neon iron]

which 1

[karmic anchor]

Hi

A b c

can you help me solve step by step im stuck on where o start

[topaz sinew]

@karmic anchor Has your question been resolved?

[sweet shard]

You don't know where to start?

[karmic anchor]

yeah

Can you help

[sweet shard]

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:introduction-to-the-domain-and-range-of-a-function/v/range-of-a-function

[topaz sinew]

@karmic anchor 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.

[woeful depot]

how can i prove that the series cos(n) diverge?

[woeful depot]

can i say that cos(n) doen't tend to 0 so it can't be convergence

[icy sky]

The series as in $\sum_{n=1}^{\infty} cos(n)$?

[thorny flame]

GarlicBredFries

[icy sky]

Use the Nth term test

[woeful depot]

wdym?

[gusty bane]

are you talking about the sequence cos(n)?

as n goes to infinity?

[woeful depot]

i wanna prove that the series diverge but if the sequence don't tend to 0, it's a sufficient condition to show that the series diverge

[gusty bane]

what is "the series"

[gusty bane]

is it this?

[woeful depot]

yes

[gusty bane]

then yes

it suffices to show cos(n) does not tend to zero

[woeful depot]

ok

thx

btw i wonder how to know the nature of the series cos(n)/n

[topaz sinew]

@woeful depot Has your question been resolved?

[outer drift]

yes, by ntt

[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.

[nimble crown]

I am currently stuck on a section of this question

this helps solve this

so I got

now I know what to do, you just multiply the numberator by the number

but what do you get when you multiply pi and pi?

2pi or pi^2

nvm

I got it

.close

[topaz sinew]

Channel closed

Closed by @nimble crown

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.

[neon iron]

hello there

iam currently over getting the percentage of my marks calculated but it gives me a wrong result

anyone might can help me find my issue?
best mark 1 = 100%
worst mark 6 = 0%

Percentage = (1 - (AverageMark) / (6 - 1)) * 100

[restive inlet]

Percentage = (6 - (AverageMark) / (6 - 1)) * 100
change that to a 6

[neon iron]

can you give me an explanation of why? would like to understand the background too

[restive inlet]

well you're rescaling your values to be out of 6-1 = 5
6 - (the worst mark 6) = 0
6 - (the best mark 1) = 5

[neon iron]

ah i see

yes now it works

thanks a lot mate

.close

[topaz sinew]

Channel closed

Closed by @abstract sapphire

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.

[exotic kernel]

Can anyone please explain from where Z did come to the range f(x) ?

[topaz sinew]

@exotic kernel Has your question been resolved?

[sacred moon]

It's just a variable name

it could have been anything

[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.

[muted burrow]

i need help with this problem, it's completing the square

[vapid hawk]

i think its abt maximizing

[muted burrow]

ohh okay

[vapid hawk]

Do you know about maxima and minima

[muted burrow]

no

[vapid hawk]

https://www.toppr.com/guides/maths/application-of-derivatives/maxima-and-minima/

this might help

you just need to maximise the performance and find at what stress level does such performance occur

[muted burrow]

thank you

.close

[topaz sinew]

Channel closed

Closed by @muted burrow

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.

[uneven viper]

What is happening at at the marked row?

Or why is it simplified like that?

<@&286206848099549185>

[neon iron]

factor out f(1,s)

[uneven viper]

Thanks, can't believe I didn't see that lol

.close

[topaz sinew]

Channel closed

Closed by @uneven viper

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]

F doesn’t share a similar plane

[neon iron]

This makes no sense i thought planes could only be 2d?

Why are two points on opposite sides the same plane?

[wheat grove]

wdym?

you need 3 points to define a plane

[neon iron]

But don’t they have to be on like the same shape?

[wheat grove]

(assume ofc that the points are not on the same line)

[neon iron]

Oh wait… does that mean the whole 3d thing is the plane itself?

I was thinking of 2d planes maybe

[topaz sinew]

@neon iron 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.

[vital mauve]

How do i get question c

[topaz sinew]

@vital mauve Has your question been resolved?

[swift lance]

think about the forces "cancelling" each other out if theyre in opposite directions

but notice that one direction has more force than the other

how much more force is going to the right compared to the left

[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.

[wintry urchin]

I don't see how such a function can be possible?
How can it have a point of inflection and be consistently decreasing?

[restive inlet]

How can it have a point of inflection and be consistently decreasing?
why don't you think that's possible?
what's your understanding of what an inflection point is

[wintry urchin]

The point at which concavity changes. Or the second derivative = 0

[restive inlet]

and how exactly would that prevent the function from being consistently decreasing

[wintry urchin]

I can't visualise how the concavity would change if it is only decreasing.

[valid marsh]

-x^3

[wintry urchin]

Alright, but now that does not meet the requirement that g(x)>0 for all x

[restive inlet]

that's left as an exercise for you

i'm merely giving a simple example of how what you though was impossible is very possible

you can use a similar idea

and also note that you can have y=0 as an asymptote

and you're not required to give an equation, just sketch something

[wintry urchin]

That function is not consistently decreasing though. f(x) = -x^3
f'(x) = -3x^2
Given x = 0: f'(0) = -3(0)^2 = 0
And one of the requirements is that it must be <0
It excludes 0.

[restive inlet]

what i gave wasn't -x^3 though

it was -x^3 - x

[wintry urchin]

Oh

[restive inlet]

and you're not required to give an equation

[wintry urchin]

Oh lmao I never noticed that

I still can't think of how to do it though

.close

[topaz sinew]

Channel closed

Closed by @wintry urchin

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.

[potent breach]

Two numbers are chosen from 1, 3, 5, 7, 9,…, 151 and multiplied together in all possible ways. The number of ways that will give the product a multiple of 5 is ___.

[potent breach]

Either at least one of the selected number should be a multiple of 5 or both of them should be a multiple of 5.

Numbers in 1,3,5,...,151 which are divisible by 5 are 5,15,25,...145

Oh, nevermind

I found my mistake

.close

[topaz sinew]

Channel closed

Closed by @potent breach

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.

[topaz sinew]

Channel closed

Closed due to the original message being deleted

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.

[coral fog]

Hello i'm trying to find the anti derivative of this

but on the last line 4pi^2/4 is wrong right?

it should be 4pi^2/2

correct?

[restive inlet]

why would it be 4pi^2/2

[coral fog]

cz y(pi/2)

when you replace it by x

[restive inlet]

why do you think
4x^2 is 4pi^2/2 when x=pi/2

[coral fog]

(pi/2)^2= pi^2/4?

[restive inlet]

yes...

[coral fog]

😘

[restive inlet]

you may need a quick review of algebra

also that
-7 - pi^2 at the end is very poorly written

[coral fog]

c= -7pi^2??

[restive inlet]

no

its supposed to be -7 - pi^2

but the stroke through the 7 merged with the - sign

[coral fog]

when i have a fraction with power

the denominator is multiplied or power

[restive inlet]

you should review your exponent laws

[coral fog]

I will but can you tell me

[restive inlet]

do the review first

shouldn't take more than 5 minutes to take a look at the list of 10 or so laws

[coral fog]

(x/y)^n= x^n/y^n

[restive inlet]

yes

[topaz sinew]

@coral fog Has your question been resolved?

Channel closed

Closed by @coral fog

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.

[topaz lynx]

should it be 3y + 3xy

6 is the solution to df/dxy

but then it should be /2! right?

because its a 2nd order term

wait a sec i may have flawed my understanding

wait a sec.... u dont half the xy term

i had forgotten this fact

that was a close one

.close

[topaz sinew]

Channel closed

Closed by @topaz lynx

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.

[strange pumice]

how do i plot a 4 point moving average?

[rigid ivy]

The first three were done for you.
For the first one, it took these four numbers

And found the average: 319

Then it moved over by 1 and found the average of these four numbers:

And so one

[strange pumice]

i understand a

but i dont understand b

[rigid ivy]

Oh I see

For the first 3 points, it looks like just the actual points were plotted, since there are not enough points for a 4-point average

Same for the last 3 points

[topaz sinew]

@strange pumice 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.

[broken agate]

llookign through this

i dont think it is correct

but i need someone to veiirfy

.close

[topaz sinew]

Channel closed

Closed by @broken agate

Use .reopen if this was a mistake.

[broken agate]

.close

[errant bronze]

it's correct 👍

[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.

[topaz lynx]

i dont know how to swap order

heres diagram

[topaz sinew]

@topaz lynx Has your question been resolved?

Channel closed

Closed by @topaz lynx

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.

[cinder oxide]

I'm pretty sure I got first and last right

but 2nd and 3rd I'm stuck on

[lyric gale]

first do u.v

[empty sail]

The dot product results in a scalar

[lyric gale]

then do the resultant vector dot product with u

[cinder oxide]

so I would answer b) as (#,#,#)?

[lyric gale]

yes

[cinder oxide]

ahh OK

[cinder oxide]

they want <> instead of ()?

[gusty bane]

yes

[lyric gale]

i guess

[cinder oxide]

ty

[gusty bane]

do you have a "special character" picker or something

[cinder oxide]

fixed

[lyric gale]

bro dot product always results in a scalar

[cinder oxide]

.close

[topaz sinew]

Channel closed

Closed by @cinder oxide

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.

[flint star]

Is the function x^2ln(x) continous at x = 0 and why?

[silk pewter]

domain of log is $(0,\infty)$

[thorny flame]

bettim

[topaz sinew]

@flint star Has your question been resolved?

[flint star]

So since f(0) is undefined, the function is not continuous at x = 0?

[silk pewter]

yep

[topaz sinew]

@flint star Has your question been resolved?

Channel closed

Closed by @flint star

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.

[charred gull]

what is 32 as a power of 2

[drifting swift]

well what is 32 as a power of 2?

do you know your powers of 2?

[charred gull]

yep

so whats the answer

[drifting swift]

no, we won't give you the answer.

write out the first few powers of two yourself.

[charred gull]

can u help

[drifting swift]

i am helping you

by guiding you towards solving your own problem

[charred gull]

and i dont know it

[drifting swift]

you said you know your powers of 2

[charred gull]

i forgot

[drifting swift]

2^1, 2^2, 2^3, ...

can you write these out

[charred gull]

k

i did

[drifting swift]

write them out here where i can see them

[charred gull]

where

[drifting swift]

in this chat

[charred gull]

2 1, 2 2, 2 3

[drifting swift]

...

[blazing spindle]

lmao

[drifting swift]

do you know what the words "power" or "exponent" mean?

[charred gull]

yep

[drifting swift]

ok

so what is 2^1?

[neon iron]

Alternative suggestion: divide 32 by 2 and its resultant as well until you get a non-zero remainder or a value of 1, and then count the amount of 2's you divided with that process

[topaz sinew]

@charred gull 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.

[errant marlin]

can someone help me with this question thx

[topaz sinew]

Please don't occupy multiple help channels.

[vapid hawk]

d-d-dont make two channels

[errant marlin]

sorry i couldnt find the last one 😦

[vapid geyser]

#help-23

[errant marlin]

ok

[halcyon slate]

.close

[topaz sinew]

Channel closed

Closed by @halcyon slate

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.

[drifting wind]

Can someone help me solve this for x

[topaz sinew]

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

[pulsar sun]

Well first notice that u can write $7+\sqrt{48}$ and it's conjugate as whole squares

[thorny flame]

ItzKraken2

[pulsar sun]

So u can remove the square root

[drifting wind]

i dont get it

[pulsar sun]

@drifting wind do u know how

Hmm..okay write $7+\sqrt{48}$ as $3 + 4 + 4\sqrt{3}$

[thorny flame]

ItzKraken2

[pulsar sun]

Can u find a and b by comparing this to $a^2 +b^2 + 2ab$

[thorny flame]

ItzKraken2

[pulsar sun]

@drifting wind

[drifting wind]

Where can I implement this

[pulsar sun]

Wdym

It will remove the root above 7+sqrt(48)

And 7-sqrt(48)

[frosty garden]

Should already be a helpful hint.

[valid marsh]

how did you find that rearrangement

[pulsar sun]

Idk I have practice ig

[valid marsh]

did you just see it?

[pulsar sun]

We had an entire chapter dedicated to surds this year

[pulsar sun]

Well yeah

And BTW Jimmy can u take over I gtg

[frosty garden]

These are small numbers, and smart students in Asia (and elsewhere) probably have been trained with these toy problems when they are studying surds. 😂

[pulsar sun]

Bruh

Well I gtg, bye

[frosty garden]

There is no take-over in this server i guess, ppl just pick up whtever channel they are interested. 😂

[valid marsh]

am in asia
have not been trained with this

[pulsar sun]

Hmm true

[pulsar sun]

Country and class?

[valid marsh]

hk and this isn’t in hkdse pretty sure

[pulsar sun]

Ah, I see. Am in India

[frosty garden]

Pre-calculus classes in China will know this coz I have seen like Chinese or Japanese vid with such example.

[valid marsh]

those were probably olympiad problems

[topaz sinew]

@drifting wind 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.

[bronze bison]

hey

[bronze bison]

i have this pyramid

we have a local coordinate system where the z axis goes from S to M

x and y are parallel to the other 2 sides i marked in blue

the origin is in the point S

I need the rotation matrix when rotating around omega

any tips?

Context:
I am calculating the rotational energy for which i need some weird tensor and also some other stuff for which i need this matrix

if x y and z basis vectors are normalized then this should be true, maybe that helps

[topaz sinew]

@bronze bison Has your question been resolved?

[topaz sinew]

@bronze bison Has your question been resolved?

Channel closed

Closed by @bronze 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.

[fierce zealot]

Standard equation of ellipse is $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$

[thorny flame]

KN

[fierce zealot]

And then the other one I've seen is $\frac{y^2}{a^2} + \frac{x^2}{b^2} = 1$

[thorny flame]

KN

[fierce zealot]

What's the difference?

[fierce zealot]

I guess its kinda dumb. Like I always just remembered it as when a > b or b > a, whichever variable (x or y) it was under, then we called the length of it as the semi -major axis

hmm ok

i see

ty

.close

[topaz sinew]

Channel closed

Closed by @fierce zealot

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.

[fierce zealot]

What is the relationship between SVD and diagonalization?

[sweet shard]

https://math.stackexchange.com/a/2858267

[fierce zealot]

what is the covariance matrix they talk about?

[sweet shard]

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

[fierce zealot]

.close

[topaz sinew]

Channel closed

Closed by @fierce zealot

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]

How do I synthesize ibuprofen from isobutylbenzene pls help

[neon iron]

<@&286206848099549185>

I have a headache and I have access to my lab at my uni

[hearty dragon]

Dont ping until 15 mins

[neon iron]

Can u help

[hearty dragon]

also <@&268886789983436800> seems a little not-math

[sonic escarp]

this is clearly a math question. #kchchch

[cunning kestrel]

take the derivative

[neon iron]

do I integrate by parts

[cunning kestrel]

no just take the derivative

[neon iron]

for Ibuprofen

Ok

Thanks bro

✌️ 🙏

I will be healed

.close

[topaz sinew]

Channel closed

Closed by @gentle iris

Use .reopen if this was a mistake.

[neon iron]

😂

[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.

[minor scarab]

Can anyone help me to check my answer? (Circular Measure Add Math)

[minor scarab]

Question 2b

[topaz sinew]

@minor scarab Has your question been resolved?

[topaz sinew]

@minor scarab 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.

[fallow stump]

Yo I was wondering what should I do to practice my 4u exam. I already finished the cambridge and mastering mathematics and I was hitting trial papers but my partial fractions are weak. I was wondering if you had any advice

[topaz sinew]

Please don't occupy multiple help channels.

@fallow stump 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.

[undone flicker]

,w cube root of 169

[thorny flame]

Results provided by WolframAlpha

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

Requested by ! Arjunn#5589

[undone flicker]

,w cube root of 27

[thorny flame]

Results provided by WolframAlpha

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

Requested by ! Arjunn#5589

[dreamy drum]

[undone flicker]

,w how many terms of 3 , 3/2,3/4 are need to be sum of 3069/512

[thorny flame]

Wolfram Alpha doesn't understand your query!
Perhaps try rephrasing your question?
Click here to refine your query online

Requested by ! Arjunn#5589

[sweet shard]

Go to #bots

[undone flicker]

I will go there. @sweet shard thanks for suggesting but i am now uploading my question wait

Radius of convergence?

How to find it

[topaz sinew]

@undone flicker 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.

[bronze bison]

im doing imporper integrals

[bronze bison]

we are looking at the integral over f(x) from a to b

if lim[x->a]f(x) or lim[x->b]f(x) exists, then the improper Integral exists.
Is this statement true?

that sounds so wrong

[sweet shard]

f =1/x

[bronze bison]

like if we look at f(x)=1/x^2
then the improper integral from 0 to 1 does not exist right?

[sweet shard]

That works too

[bronze bison]

ok thx

.close

[topaz sinew]

Channel closed

Closed by @bronze bison

Use .reopen if this was a mistake.

[bronze bison]

.reopen

[topaz sinew]

✅

[bronze bison]

$\int_{0}^{1}\frac{1}{x\cdot\sqrt{-\ln(x)}}dx$

[thorny flame]

~Martin

[bronze bison]

that is the improper integral i am looking at

i already got the value with the bounds being 1/e and 1

this one doesn't exist afaik

any ideas on how to prove that?

[sweet shard]

u sub?

[bronze bison]

if i would try u sub, then i get integral from 0 to infinity of 1/sqrt(u) du

afaik, a) should be correct (even though i should quote some stuff from my script)

for substitution, my u has to be continuosly differentiable on [0,1].
u=-ln(x)
u'=-1/x
which is continuous on (0,1] but not [0,1] so i don't think that b) is done correctly

i tried comparing f to other functions but that did not work

[dreamy drum]

ln(0) doesn’t equal infinity?

did you take a limit?

[bronze bison]

ah yeah oops

i took limit

so u isn't even defined on [0,1]

[dreamy drum]

I think it’ll be sufficient to just substitute the substitution back in and show that the limit doesn’t exist when x -> 1

[sweet shard]

The bottom half is correct

[bronze bison]

oh it is?

[sweet shard]

This statement is about the integrand, not its antiderivative

[bronze bison]

so we don't need u, u' to be continuous on [0,1] but just on (0,1)?

[sweet shard]

,w int 0 to 1 of (x * sqrt(-log(x)))^(-1)

[thorny flame]

Results provided by WolframAlpha

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

Requested by riemann#2529

[bronze bison]

hmm

but i have still written the bounds kinda funky

-ln(0) became oo

[sweet shard]

That's right-ish

Improper integrals are defined as the limit

[dreamy drum]

you can just keep it 0 to 1 and plug u = -ln(x) back in and evaluate the limit too

[bronze bison]

this looks better

.close

[topaz sinew]

Channel closed

Closed by @bronze 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.

[feral comet]

is it possible to prove that for all x there exists some a and n such that this is true

[manic wave]

Do you know the sum of 3^n?

[drifting swift]

this looks odd

btw are you sure the summation is meant to run from 0 to n and not from 0 to n-1?

[manic wave]

$\sum_{n=0}^m 3^n = \frac{3^{m+1}-1}{2}$

[thorny flame]

Oğuzhan

[manic wave]

Yeah it's odd

[feral comet]

yeah it’s meant to run from 0 to n

[drifting swift]

anyway i believe this is asking whether for any x it is possible to append some 1's to the ternary representation of x+1 to yield a power of two

which i am not convinced it is, but it sounds very nontrivial to prove

[manic wave]

$2 \cdot 3^n \cdot x + 3^{n+1} - 1 = 2^{a+1}$

[thorny flame]

Oğuzhan

[feral comet]

wouldnt it be $1 + \frac{1 - 3^n}{1 - 3}$

[thorny flame]

Fulgebunt

[feral comet]

hm

ah

[drifting swift]

n+1 not n

[manic wave]

$3^n (x + 1) = 2^a$

[thorny flame]

Oğuzhan

[manic wave]

I've tried some things but I'm not sure

It might not be true?

[feral comet]

my instructor has told me that it’s true

[manic wave]

Hmm

[manic wave]

But if x = 0, there is no integer solution?

Or x = 1

If I expanded it correctly

[feral comet]

ah wait i have the domain of x wrong

[manic wave]

Oh

[feral comet]

a and n can be any positive integer but x must be greater than 4

[manic wave]

Still, I don't think it works for any x value

[manic wave]

Can anyone check this?

I might be wrong

[wide granite]

x=0; n=0,a=0 and x=1;n=0,a=1 work, no?

[manic wave]

Yeah true

Kind of an edge case

It can't work for all integers nor positive integers

$3^nx + \sum_{i=0}^n 3^i = 2^a$\
$3^nx + \frac{3^{n+1} - 1}{2} = 2^a$\
$2\cdot 3^nx + 3^{n+1} - 1 = 2^{a+1}$\
$3^n(2x + 3 - 1) = 2^{a + 1}$\
$3^n(x+1) = 2^a$

I don't see an error

[feral comet]

oh it cant be true for any even integer right

[manic wave]

It can't be true for any, except for this edge case

[thorny flame]

Oğuzhan

[manic wave]

Fixed something*

[wide granite]

why do you take the -1 inside brackets

[feral comet]

perhaps my instructor was trying to trick me

[manic wave]

a or n should be 0

[manic wave]

Oh my god yes thanks

[wide granite]

(2x+3)3^n=1+2^(a+1)

[feral comet]

ah

[manic wave]

My apologies I'm exhausted

[manic wave]

Yeah now it seems possible

$3^n(2x + 3) - 1 = 2^{a + 1}$\
$b = a + 1$\
$3^n(2x + 3) - 1 = 2^b$

[thorny flame]

Oğuzhan

[manic wave]

(odd) (odd) - 1 = even

Which is totally possible

[feral comet]

my instructor has said that proving this was useful towards the collatz conjecture

[manic wave]

Hmm

[feral comet]

its for x greater than 4

[wide granite]

I know

just getting a grip

But this same argument would show x=5 is not possible...

nvm

[topaz sinew]

@feral comet Has your question been resolved?

[wide granite]

Alright I looked at it again and solving this is pretty much solving collatz so I stop

[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.

[willow quarry]

I've read this paragraph in my textbook like 10 times and still have no idea what it means

could someone explain what unbiased estimates are please

[junior pumice]

unbiased = reflective of "reality" or of the population.

biased = not reflective of the population

[topaz sinew]

@willow quarry Has your question been resolved?

Channel closed

Closed by @willow quarry

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.

[oak sequoia]

is this solution correct? it doesn't check if we actually get a 9 does it

[torn vale]

if the largest number is 9, you can't select anything more than 9

so just take out 10 to 15

so now you have 1 to 9 to work with, and you pick 7 things, all with replacement

count that, and also count that picking 7 things from 15 things with replacement

divide the first with 2nd

and what it seems from where that the solution is correct

why did you put (8/15)^7?

also how is this binomial distribution 💀

oh got it how

these people never told properly what is the actual random variable working here

💀

[topaz sinew]

@oak sequoia Has your question been resolved?

[oak sequoia]

Guess

So is the solution correct?

[oak sequoia]

But we aren't ensuring that we select at least 1 9

[torn vale]

the correct is what they marked

[torn vale]

if you exclude 9 your probability is 0 lmao

[topaz sinew]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[torn vale]

.repoen

.reopen

[topaz sinew]

✅

[oak sequoia]

I'm not saying exclude 9, what I'm saying is there is a change you end up selecting let's say 1 7 times

But we end up counting that in our case

[oak sequoia]

can't help it, need to attempt all questions to access the bonus questions 💀

,w (3/5)^7

[thorny flame]

Results provided by WolframAlpha

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

Requested by Swastik#2533