help-26

[drifting swift]

ln(7) is just a number

so the integral of ln(7) dx is?

[fathom sinew]

then integral of ln(7) dx is ln(7)x

wa

[drifting swift]

yes

[fathom sinew]

my bad i was thinking that it was possible to turn -1/ln(7) to -ln^1(7)

oh

ok

so (-1/ln(7))u + c

(4-7^x/ln(7)) + C

$^{1}/_{2}$

[thorny flame]

(っ◔◡◔)っ 🤍 cosygod 🤍

[drifting swift]

$\frac{1}{2}$

[thorny flame]

Ann

[fathom sinew]

oh thanks

$\frac{4-7^{x}}{\ln(7)}$

[thorny flame]

(っ◔◡◔)っ 🤍 cosygod 🤍

[fathom sinew]

alr thank u very much

.close

[topaz sinew]

Channel closed

Closed by @fathom sinew

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.

[jade wharf]

the line y=2x-3 is reflected about the line y=x. find the equation of the reflected line

[jade wharf]

not sure how to do this at all

[merry mason]

Change y and x position

[coarse tusk]

no...

[mental basin]

nevermind I misread that

[coarse tusk]

for reflection about the line y=x there is a shortcut (as Calamity mentioned)
You can just replace y for x and x for y in your equation

[jade wharf]

so i swap x and y and isolate for y right

[coarse tusk]

yes, you can isolate for y if you wish to

[mental basin]

x=2y-3 <=> x+3=2y >=> y=(1/2)(x+3)

[merry mason]

In this particular question it's possible to isolate y

[jade wharf]

yeah i got it

(x+3)/2 = y

thanks

[mental basin]

in any expression containing at least one y, it is possible to solve for y, no?

[coarse tusk]

not at all. consider x=sin(y)

[merry mason]

It depends...

[coarse tusk]

there's no way to isolate y

[haughty mural]

And maybe for some background info:

We can find the point at which our line and the line y=x intersect. We also know that the point (0,-3) will be at (-3,0) after the reflection. From these points we could also get the equation.

[mental basin]

y=sin⁻¹(x) over the interval [-pi;pi]

[coarse tusk]

yes, but that doesn't account for all branches

[merry mason]

y= arcsin(x)

[coarse tusk]

because a singular x value can have more than one (in this case, infinitely many) values of y associated with it

meaning y is not a function of x

[merry mason]

I see

[coarse tusk]

,w graph x=sin(y)

[thorny flame]

Results provided by WolframAlpha

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

Requested by shikhargupta1207

[mental basin]

hence we define the inverse over a given interval

[coarse tusk]

oh well wolframalpha just switched the x and y axes

[cursive patrol]

that is still not “solving for y”

[coarse tusk]

lmaoo

[cursive patrol]

intellect 100

[coarse tusk]

yes, that is called a partial inverse function

[jade wharf]

take this elsewhere

.close

[topaz sinew]

Channel closed

Closed by @jade wharf

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.

[fickle sorrel]

Prove P(A∪B) = 1 - P(A'⋂B'), when A and B are arbitrary events.

[drifting swift]

what does + mean

[fickle sorrel]

• is union

I'm still not sure what comprises a complete proof, in this example.

[drifting swift]

if you mean union them why not write the union symbol

anyway (A u B)' = A' n B' is the crux of the proof...

if there are extra things your professor wants you to say in the proof then that's something to ask them about not us

[fickle sorrel]

Do you see it is evident in my truth table and reasoning?

[drifting swift]

it's fine yeah

[fickle sorrel]

Thank you for your help!

[topaz sinew]

@fickle sorrel 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.

[worn aurora]

hey

what law should i use to get the angle?

[topaz sinew]

@worn aurora Has your question been resolved?

[chilly walrus]

have you heard of suvat equations?

[worn aurora]

yeah

[chilly walrus]

they are the same for rotational motion

use the last one, where instead of s you get theta (angle), instead of u it's omega_i and instead of v it's omega_f

[worn aurora]

alright thanks lots

,close

[topaz sinew]

@worn aurora Has your question been resolved?

Channel closed

Closed by @worn aurora

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.

[calm gyro]

Can someone help with this?

[rose sierra]

Assume for the sake of contradiction that there only exists n primes

but then show that with these n primes you can make an n+1th prime

[calm gyro]

How about assuming to the contrary that there are n number of primes listed?

[rose sierra]

wdym?

[calm gyro]

Like prove that there are more than n prime numbers for all natural numbers?

oh wait nvm

[calm gyro]

How is this solution?

[cursive thorn]

Looks good, you don't even need the powers of alpha, and just take n = p1 * p2 * p3 * ... * pn

[calm gyro]

Thanks

[cursive thorn]

maybe you need some form of induction though, since you only prove k + 1 primes exist

actually, nvm

that's the contradiction

[calm gyro]

Yea

[cursive thorn]

maybe specify that those k are supposed to be the only ones

[calm gyro]

Ok

[calm gyro]

Sorry can you explain? I’m a bit confused here

[cursive thorn]

You haven't explicitly stated in your assumption that the primes p1, ..., pk are the only ones

you just said that they were primes

[calm gyro]

Oh yea I’ll fix that

How is this now?

[calm gyro]

Added the changes

[topaz sinew]

@calm gyro Has your question been resolved?

Channel closed

Closed by @calm gyro

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.

[half sage]

is PSL(2, C) an abelian group or no?

[keen venture]

Looking it up, no.

[half sage]

is it because matrix multiplication isn't commutative?

[keen venture]

Well, that's necessary for sure

It's not so obvious though with PSL

What's your definition of PSL(2,C)? We can work with that

[half sage]

here

i want to prove that there is no isomorphism, because C^3 is abelian but PSL(2, C) isn't

[topaz sinew]

@half sage Has your question been resolved?

[half sage]

@keen venture can you help please

[odd pagoda]

you could just try multiplying two random elements in both orders. you likely wont get the same results

[topaz sinew]

@half sage Has your question been resolved?

Channel closed

Closed by @half sage

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 arch]

If S is relation defined this way:

[drifting swift]

в кое множество живеят x и y?

[exotic arch]

истинските числа

[drifting swift]

тоест реални?

[exotic arch]

да

[drifting swift]

добре

[exotic arch]

трябва да се докаже, че е релация на еквивалентност

за рефлексивност получавам просто x-x=0

0 е в целите числа

[drifting swift]

точно така

[exotic arch]

за симетричност имаме (x-y) и (y-x)

трябва просто да ги прибавя ли?

[drifting swift]

ами не, разсъждение няма да върви така

имаш, че x - y ∈ Z, и искаш да докажеш, че y - x ∈ Z

това следва директно от твърдението y - x = -(x-y)

защото -1 е цяло и Z е затворено относно умножение

или пък за всеки елемент има обратен по сложение, ако искаш

[exotic arch]

Да, а за транзитивност

което е

(x, y) ∈ R & (y, z) ∈ R -> (x, z) ∈ R

[drifting swift]

S

[exotic arch]

да, моя грешка

S

просто го тълкувах по традиционната дефиниция

[drifting swift]

знае се, че x-y и y-z са цели, и искаме да докажем, че и x-z е цяло

[exotic arch]

момент

как знаем, че y-z е цяло? просто по дефиниция го допускаме ли?

[drifting swift]

точно така

в рамките на доказателството

[exotic arch]

ясно

тогава

това ще помогне ли?

с идеята, че утре имам контролно

.close

[topaz sinew]

Channel closed

Closed by @exotic arch

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 wadi]

How to solve this guys? I tried pretty hard

[normal iris]

either 4 or 14

[muted wadi]

Please provide reasoning

[normal iris]

i was looking at the left diagnal. the last digit is -3 then plus 1

so i assumed thats the pattern-

[topaz sinew]

@muted wadi Has your question been resolved?

[cursive patrol]

i hate problems like these

[cursive patrol]

hint: ||each number on the left diagonal is the result of the two numbers above it diagonally||

[muted wadi]

ty i wil look into it

[topaz sinew]

@muted wadi Has your question been resolved?

Channel closed

Closed by @muted wadi

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[tame plaza]

Q: Integration

[tame plaza]

$$
a_n=\int^{1}_{-1}\;(1-t^2)\cos(\pi n t)\;dt
$$

Struggling to see how this evaluates to the highlighted part in this image:

[loud oasis]

integration by parts

[tame plaza]

That's disgusting. Thank you <3

Didn't see that at first

[loud oasis]

& used properties of even functions to rewrite the bounds

[tame plaza]

.close

[topaz sinew]

Channel closed

Closed by @tame plaza

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.

[worn raven]

not sure where to start

[rigid ivy]

Are you familiar with implicit differentiation in general?

[worn raven]

yes

e.g y^2= 2ydy/dx

just like how am i differentiating f"(x) and f"(x)^2

[raven sparrow]

Just like f''(x) = (f'(x))'.

[worn raven]

u=y v=f"(x)?

[raven sparrow]

You can give them other names if it helps : say you have y = f(x), y' = g(x) and y'' = h(x).

Now your equation is f(x)•h(x) + 2(g(x))^2 + 2•f(x) = 0

Can you take the derivative of that using the chain rule and product rule when necessary?

[worn raven]

soo

u=y v=h(x)
= h(x)dy/dx+yh*(x)

start represents a dash lol

[raven sparrow]

Ok that's the first term

But it's already useful since the derivative of h(x) is f'''(x) isn't it?

[worn raven]

yes?

[raven sparrow]

So now do that with the other terms to get a new equation, and this one will involve h'(x), which you want to solve for.

[worn raven]

soo

h(x)dy/dx+yh*(x)+4g(x)+2dy/dx

[topaz sinew]

@worn raven Has your question been resolved?

[raven sparrow]

You didn't do the chain rule properly for g(x).

But yeah

And then you can isolate h' and replace the functions with their actual expressions as derivatives of y.

[worn raven]

wym what should it be?

[raven sparrow]

You forgot to multiply by g'

[worn raven]

ye but it wants dy^3/dx^3?

[raven sparrow]

That's h'

[worn raven]

so whats h(x) dy^2/dx^2?

h(x)dy/dx+yh*(x)+4g(x)g'(x)+2dy/dx

[raven sparrow]

We used those placeholder functions to help with realizing that those are just functions of x you can take the derivative of. Now you have (something) = 0 and you should isolate for h'(x)

[worn raven]

ye i still dont really get it lol

[raven sparrow]

This equation

Solve for h' in it

h'(x) = d3y/dx^3

[worn raven]

okay so g(x) is what y? and g^x is dy/ax? h^x is dy^2/dx^2

[raven sparrow]

f(x) = y. g(x) = dy/dx = f'(x) , h(x) = d2y/dy^2 = g'(x)

[worn raven]

to make itr easier for me i changed it back

to like dy/dx and studff

right

[raven sparrow]

Yeah that works

It was just to try and help with chain rule and stuff

But it doesn't matter you could've done it like that to begin with 👍

[worn raven]

i got
y(d^3y/dx^3)+dy/dx(d^2y+4d^2y/dx^2 +2)=0

[worn raven]

ye the other set notation im not used to

so my brain was like brrr

[raven sparrow]

I think that's good yeah. Now you can just isolate the third derivative like it was a normal variable

[worn raven]

therefore

d^3y/dx^3=-dy(..........)/y?

[raven sparrow]

Yeah

[worn raven]

yipppe

[raven sparrow]

And now it works out since everything is in terms of y, y' and y''

[worn raven]

an hour for part a now part b LMAO

[raven sparrow]

Oh well

[worn raven]

think i can figure this out just sub in numbers

[raven sparrow]

Yeah essentially. You can plug values into the Taylor series

[worn raven]

can i simplify d^2y+4d^2y/dx^2 to amke 5d^2y/dx^2

[worn raven]

ye my specfication dosent do the taylor "swift" series lol

[raven sparrow]

Yes it should be right

[worn raven]

for part b what do i do when i found d^2y/dx^2

[topaz sinew]

@worn raven 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.

[orchid jetty]

How do I get PY

[shadow shadow]

Is wp a+12?

[orchid jetty]

Dunno

[shadow shadow]

Diagonal of parallelogram bisect each other

Use that

[orchid jetty]

Ok

It worked thanks

.close

[topaz sinew]

Channel closed

Closed by @orchid jetty

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]

nvm i got it

.close

[topaz sinew]

Channel closed

Closed by @final 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.

[pearl fog]

Using the digits 1,2,3 and 4, without
repeat, one can form distinct 3-digit
numbers.
What is the average of all possible
numbers formed?
(A) 200
(B) 225.5
(C) 275
(D) 277.5
(E) None of the above

[pearl fog]

how would you do this non manually?

[cursive patrol]

each digit appears in each position (100s, 10s, 1s) 6 times

[pearl fog]

ooh

thanks

[cursive patrol]

welcome

[pearl fog]

lemme see if i have another question wait

how bout this

[cursive patrol]

sum of coefficients of polynomial f(x) is f(1)

[pearl fog]

oh

never heard that before, good to know

[cursive patrol]

yep

[pearl fog]

how bout this

got 2 things
$$\frac{a+b}{ab}=\frac{5}{a-b}$$
$$(\frac{a^2+b^2}{ab})^2$$

[thorny flame]

Skill_Issue

[pearl fog]

like if i tinker around i can get
$\frac{625}{(a-b)^2}-\frac{100}{a-b}+4$ for the lower equation but idk where to go from there

[thorny flame]

Skill_Issue

[topaz sinew]

@pearl fog Has your question been resolved?

[cursive patrol]

hint: ||manipulation you want to apply to top equation is multiply both sides by (a - b)||

[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.

[rapid marten]

https://gyazo.com/a137fc315061f643e2047c160b7f4a74

[rapid marten]

Erm i dont really need help

just wondering what the process would be from changing from d/dx^2 to d/dy^2

knowing the relation between y and x

[gray ridge]

it's chain rule

[rapid marten]

so use the chain rule of y = x/l twice?

[gray ridge]

yep

[rapid marten]

thx

.close

[topaz sinew]

@rapid marten Has your question been resolved?

Channel closed

Closed by @rapid marten

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.

[merry portal]

“Find the length of AD”

[merry portal]

Idk why I can’t do this is seems simple but idk what to do

[ivory sorrel]

I'm pretty sure you need more information

[merry portal]

Oh im so dumb

The rest was next to it but I thought it was 2 questions

.close

[topaz sinew]

Channel closed

Closed by @merry portal

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'd just like to get some help understanding the Gaussian Elimination process shown in the image shown :>
I'm specifically confused about the process that went into turning the numbers into zeroes

[topaz sinew]

@neon iron Has your question been resolved?

[main shale]

in rows 2 and 3, the first column has value 2, so dividing those rows by 2 then multiplying by 3 gives a value of 3 in the first column

you can then subtract row 1 from rows 2 and 3, which gives zero

then it's the same thing for the second column

you could have also just immediately subtracted 2/3 * row 1 from row 2 and 3 to get zeros in the first column

[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.

[drowsy root]

i need help with tetration, im not understanding this topic at all

[terse abyss]

What’s your question?

[drowsy root]

im stuck w the basics, take 2 tetrated to 3 for example

i don't understand how tetration works

[shut belfry]

its

((((2)^2)^2)^2)

[drowsy root]

so 2¹⁶?

should that not be 2 tetrated to 2?

[shut belfry]

i mesed up

[drowsy root]

it's okay 😭🙏

[shut belfry]

2 tetrated 2 is 16

[drowsy root]

the answer directly? or 2 raised to the power 16?

[shut belfry]

Ok its messed up

I am explaining the correct one

rn

2 tetrated 2 is just 2 ^2

its 4

@drowsy root

[drowsy root]

i see

[shut belfry]

2 tetrated 3

is 16

or 2^4

[drowsy root]

so 2^2^2?

[shut belfry]

yea

I took 2 tetrated 4

[drowsy root]

what's the pattern? when someone mentions tetrated to n, do i write power of the number n-1 times?

[shut belfry]

yea

if 2

then

2^2

[drowsy root]

like, 3 tetrated to 2
will be 3^2^2

[shut belfry]

if 3 then

no

[drowsy root]

bro-

oh

I GET IT

[shut belfry]

3^3

4 tetrated 2

[drowsy root]

so 4 tetrated to 3 will be

[shut belfry]

4^4^4

[drowsy root]

4^4^4

[drowsy root]

what-

[shut belfry]

yes

[drowsy root]

4 tetrated to 2 should be 4^4?

correct?

[shut belfry]

yes

[drowsy root]

ah i see

what about pentation

i get why they don't teach ts in high school ☠️

[shut belfry]

Dude its easy

[drowsy root]

the problems would get complicated due to the calculations involved in it

if i mention 3 tetrated to 3

[shut belfry]

Pentation is like 2 pentated 3 would be

um

65536

[shut belfry]

yeah

you would certainly need a calculator

for pentation

[drowsy root]

uh

how'd u even do it-☠️

[shut belfry]

Calculator

[drowsy root]

you don't get a calculator during exams until college anyway

[shut belfry]

Yeah

[drowsy root]

what procedure, i mean.

[shut belfry]

and pentation doesnt come in school

[drowsy root]

neither does tetration

[drowsy root]

.

[topaz sinew]

@drowsy root Has your question been resolved?

[topaz sinew]

@drowsy root Has your question been resolved?

[drowsy root]

no

[topaz sinew]

@drowsy root Has your question been resolved?

[drowsy root]

.close

[topaz sinew]

Channel closed

Closed by @drowsy 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.

[calm gyro]

Can someone help with this?

[topaz sinew]

@calm gyro Has your question been resolved?

[topaz sinew]

@calm gyro Has your question been resolved?

[topaz sinew]

Channel closed

Closed by @calm gyro

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.

[manic ravine]

Hi, I need help studying for physics, the problem says, 2 blocks, with masses m1=.3kg and m2=.5kg, are connected by a string and lie on a frictionless tabletop. A force F = 5.5N is applied to block m2. I am good with everything except finding the tension, I know how to do it but dont understand why i have to do it like that. The way I got the answer was doing .3 * the acceleration, but i still dont get why i am doing said calculation.

[topaz sinew]

@manic ravine 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.

[topaz sinew]

@dark pond Has your question been resolved?

[topaz sinew]

@dark pond Has your question been resolved?

[topaz sinew]

@dark pond 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.

[forest quartz]

The gradient of the curve y=ax^2+bx at the point (3,-3) is 5. Find the value of a and the value of b.

[vernal matrix]

That's two equations you have there - do you know how to get them?

[forest quartz]

I found the derivative of the equation of the curve to be dy/dx=2ax+b

[vernal matrix]

Yep

So you have y and dy/dx

For a particular x value, you know the value of both of those

[forest quartz]

The only x value that was given is 3

[vernal matrix]

Yep, so then what does that give you as y and dy/dx?

[forest quartz]

Sorry im confused

Are you saying to plug in x into the normal and derivative equations?

[vernal matrix]

Yep - but the original equation will have an output value, and the derivative equation will have an output value too, that the question gives you

[forest quartz]

I see

So in the original equation it becomes -3=a(3)^2+b(3)

And in the derivative it becomes 5=2a(3)+b

@vernal matrix so the original equation becomes -3=9a+3b and derivative becomes 5=6a+b?

[vernal matrix]

Yep

[forest quartz]

Woo hoo!

So this is exactly where I got stuck. I have no idea what to do now 😭.

@vernal matrix would I have to somehow get them equal to eachother?

[vernal matrix]

You could e.g. isolate b, say out of the second equation, then substitute that into the first one

[forest quartz]

I see, so b=5-6a

And then put it into the first one so -3=9a+3(5-6a)

[vernal matrix]

Yep then can work with that then find b

It's just a pair of linear simeultaneous equations of course

[forest quartz]

I got a to equal 2

OMG

I finally understand the problem

Only took me almost 2 hours

[vernal matrix]

,w 9a + 3b = -3, 6a + b = 5

[thorny flame]

Results provided by WolframAlpha

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

Requested by chartbit

[vernal matrix]

Looks good

[vernal matrix]

And awww well done

[forest quartz]

Thank youuuuu

How do I close this so someone else can use it?

[vernal matrix]

Just type .close and it will do it for you

[forest quartz]

Alright tysm for the help!

.close

[topaz sinew]

Channel closed

Closed by @forest quartz

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.

[thorny bison]

how would i go about doing this ?

would i first find ab

which is m

then find c m ?

<@&286206848099549185>

that didnt work btw XD

[outer delta]

AB is the entire length of the base you would just need M which is the midpoint of AB, so use the Midpoint formula

[thorny bison]

ye a+b/2 ??

[outer delta]

yes?

[thorny bison]

that no work

unless i somehow did the wrong numbers

[outer delta]

you would do that for each coordinate though so x = (2 + 2)/2, y = (2 + 4)/2, z = (0 + 0)/2

[thorny bison]

2,2,9 + 2,4,0 is (4,6,0 )/2 is 2 ,3,0

so thats M

[outer delta]

yes

[thorny bison]

but cm i tried doing (M+C)/2

or do i do something diffrent

[outer delta]

You shouldn't need to find cm

find the distance between C and M

distance for each coordinate

[thorny bison]

so i do c-m?

[outer delta]

I believe so yes

[thorny bison]

nice

that was right

Find the vector from C to the point that lies​ two-thirds of the way from C to M on the median CM.

now i do

c+m /3?

well that wasnt quite right

[outer delta]

you should just be able to take what you got for the original question and multiply it by 2/3

[thorny bison]

1,2,-2 * 2/3?

[outer delta]

yes

[thorny bison]

well that worked lol

Find the coordinates of the point in which the medians of ABC intersect. This point is the​ plate's center of mass.

now is this finally cm XD

[outer delta]

I would assume so

probably stands for Center of Mass

[thorny bison]

and thats c+m / 2 ?

[outer delta]

I don't think so

you can try

[thorny bison]

yea thats wrong lol

[outer delta]

but I would do what you did for question 1 and apply it to midpoint of AC then find vector to B
then, midpoint of BC and vector to A
then find out where these all intersect and that gives you the center of mass

you could also try the avg method, (avg x, avg y, avg z) = midpoint

I mean center of mass

[thorny bison]

so for that would i just take all x's add them upp divide by 3 sa,e fpr y and z ?

[outer delta]

only using the vertexes coordinates

[outer delta]

yes, I am not 100% if it will work in this case, but its worth a shot

[thorny bison]

so 1+2+2 = 5/3x 2+4+1=7/3y 0+0+2/3 =2/3z

ay it worked

thx so much for the help frfr now i can finally go to bed lol

[outer delta]

good night then , if you have no further questions, use .close

[thorny bison]

.close

[topaz sinew]

Channel closed

Closed by @thorny 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.

[heavy cove]

I can't figure out what I did wrong here...

[heavy cove]

y(1) = 5 holds true here

c = 15^18/18-1 btw

and the integral of (1 + x) / x is just ln|x|+x, no?

[ruby mural]

Yeah

What equation did you get after integrating both sides exactly?

[heavy cove]

I got
y^18 / 18 = ln|x| + x + C

and C = 5^18/18-1 because y(1) = 5

any clue what I did wrong 😭

[ruby mural]

Seems right

[ruby mural]

Why is it 15¹⁸/18 here tho?

[heavy cove]

I solved for C

[ruby mural]

Yes but you said it was 5¹⁸/18

-1

[heavy cove]

oh my fucking god

[heavy cove]

thank you so much

[ruby mural]

Np

[heavy cove]

yeah I got it correct now

[ruby mural]

Nice

[heavy cove]

😭

we need to build an AI

that spots silly mistakes

[ruby mural]

Hmm

[topaz sinew]

@heavy cove Has your question been resolved?

Channel closed

Closed by @heavy cove

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]

I tried constructing sectors to get radius and also construction of another circle with this chord as diameter. Didn't work

<@&286206848099549185>

[cursive patrol]

sectors is good

you want to make use of angles here... specifically, the angle subtended by an arc is proportional to the arc length

[neon iron]

So should I take separate angles for each arc length or same angle overall for arc length of 6?

[cursive patrol]

you want to relate everything in terms of the same angle

because you are given the arc lengths (and therefore their ratios)

so you know the angles will be in the same ratio

[cursive patrol]

for this purpose, i'd recommend picking a small angle to use as a unit

[topaz sinew]

@fickle pendant 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.

[languid blaze]

how do i solve this?

[languid blaze]

please ping me

[long stirrup]

@languid blazehint: 3^n

[languid blaze]

im not sure where 3^n comes from

[long stirrup]

3^n counts ways to make 2 subsets that don't inersect

[long stirrup]

for each element you put it in A, or B or neither

[languid blaze]

ohh

would that be the final answer?

[long stirrup]

not telling

[languid blaze]

4^n - 3^n

becacuse there are 4^n possible ordered pairs

and since we need want to find the number of ordered pairs that have an intersection we just substract the amount that dont have an intersection from the total

[long stirrup]

makes sense to me

[languid blaze]

tysm

this gives me a much better understanding of combinatorics

[topaz sinew]

@languid blaze 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.

[neon iron]

How the hell do I solve this number 7. And the answer is 176ft, how do I get there at all

[little ferry]

,rotate

[little ferry]

i assume it's a similar triangle in which the longest side is 80

8/16/20 ~ x/y/80

[neon iron]

OHHHH

Ok let me get the paper out, brb

[little ferry]

the question is written in a very difficult way to understand tho

[neon iron]

Yeah 😭

Why tho

I found out I had to use scaler

Done

Thanks

Ushdnwndjs

[topaz sinew]

@neon iron 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.

[thorny flame]

Why am. I here
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[ivory sorrel]

could I just have a hint

like what substitution should I perform?

I was thinking maybe y/x=u?

would that work?

or is there another method?

[topaz sinew]

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.

[ivory sorrel]

.close

[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]

need help

[neon iron]

with coordinate geometry

is the 3rd question of the exercise and the question from the other pic the same?

because i think they're the same but they have different answer so idk what's happening

sorry for the bad quality

also ping me please

[topaz sinew]

@neon iron Has your question been resolved?

[neon iron]

https://cdn.discordapp.com/emojis/966123298129858600.gif?size=56&quality=lossless

[ornate magnet]

@neon iron they are different

[neon iron]

yea ok how

thanks for replying

@ornate magnet

[neon iron]

,rotate

[neon iron]

hmm

yea

so i have to T^2=SS_1 for the second question

and T=S_1 for the exercise one

ok yea i thought so

thanks for helping @ornate magnet

.close

[topaz sinew]

Channel closed

Closed by @proven dome

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.

[silent mortar]

someone please help

L and U matrices are correct

for some reason the x_1 and x_2 are not

ping me if you help

<@&286206848099549185>

[topaz sinew]

@silent mortar Has your question been resolved?

[split onyx]

hi im new and i have a question so when a twine has a strength of 4 tex, which means 1 km of this thread weighs 4 grams. Calculate the diameter of the thread in mm if the material density is 1.44 g / 2 square centimeters?

[silent mortar]

channel is in use

.close

[topaz sinew]

Channel closed

Closed by @silent mortar

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.

[silent mortar]

ive went through the formulas a few times and looked them up and the selections i have now all seem to be true but im getting the answer wrong

D and E are both false due to commutativity

I'm iffy about A

B and C are both correct I'm pretty sure, I also tried submitting just B and C and that was wrong as well

[worthy storm]

C is not true, there's a very easy counterexample

A is fine, can you say what the inverse of A^3 is?

[silent mortar]

whats the counter example

[worthy storm]

can you find an example where A+B = 0?

[topaz sinew]

@silent mortar 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.

[brittle void]

halp

[tawdry dagger]

you’re moving it one to the right

so its x = 1

@brittle void

[brittle void]

wait but

i have a- thats -2

c is 0

but whats b

[tawdry dagger]

?

oh

is b the constant after x

in the brackets?

[brittle void]

i dunno thats the thing

[tawdry dagger]

do you know what that graph looks like

[brittle void]

thats the formula

nope i dont

[tawdry dagger]

not for the one you have

the one you have given is in a different shape than yours

[brittle void]

oh.

crap

[tawdry dagger]

than $ax^2+bx+c$

[thorny flame]

DerTheo

[brittle void]

thats why it was weird.

[tawdry dagger]

you can write that form as
$a(x-b)^2+c$

[brittle void]

thank you so much!

.close

[topaz sinew]

Channel closed

Closed by @brittle void

Use .reopen if this was a mistake.

[thorny flame]

DerTheo

[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.

[wild pawn]

ik this is math

[wild pawn]

bu tlike

quick question

will #3 have a reaction?

cuz if theres 2 aqueous products it doesnt have reaction

my teacher said theres no reaction but other people said there is a reaction

[topaz sinew]

@wild pawn Has your question been resolved?

[wild pawn]

<@&286206848099549185>

do i break up water if it is a product

in a net ionic equations

[sweet shard]

#old-network for chemistry server

[topaz sinew]

@wild pawn 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.

[neon iron]

Hello anybody can explain me the question and how to get it?

[topaz sinew]

@neon iron 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.

[proud hinge]

How do i get this guys

[grim sable]

can you type it out

I can't read your handwriting, sorry

[thorny flame]

Yousef

[proud hinge]

$\frac{1}{r\pi3} + Sc{\pi_3} = 1 +\frac{S}{\frac{1}{r\pi3Cpi3}$

[grim sable]

I don't know whatever topic this is srry

[proud hinge]

it's just constants

I just wanna know how I can simplify this expression

wait

P1=

[thorny flame]

Yousef
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[rigid coyote]

$\frac{1}{r_{\pi_3}} + SC_{\pi_3} = 1 - \frac{S}{P_1}$

[thorny flame]

mehdi_moulati

[rigid coyote]

like this @proud hinge ?

[proud hinge]

yes but can you write my p1 inside

[rigid coyote]

$\frac{1}{r_{\pi3}} + SC_{\pi_3} = 1 - \frac{S}{-\frac{1}{r_{\pi3} C{\pi_3}}}$

[thorny flame]

mehdi_moulati

[proud hinge]

yes

like this bro

so how do i get the RHS

how do I go from left to right

?

[rigid coyote]

we need some context bro for this exercice

[proud hinge]

okay bro

I will show you everything

I almost done

so im doing it in latex

im gonna send u the link

do you have latex?

so i can send it yo you

,close

.close

[topaz sinew]

Channel closed

Closed by @proud hinge

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]

I got the answer but the problem says to check answers mentally

[neon iron]

How would I check answers from logarithms without a calculator?

[raven sparrow]

You can plug it yourself in it

[rigid ivy]

So long as you are aware that 3³=27

[raven sparrow]

To get log(27) say

and make sure it works

But you've essentially already done the work

[neon iron]

I remember my teacher warned us that logs can’t be negative

But in some cases they can?

I sort of forgot why

[rigid ivy]

The input of a log cannot be negative. The output of a log can be negative.

[raven sparrow]

Both x's here yield a positive input

[rigid ivy]

(unless you are dealing with complex numbers)

[neon iron]

So how would I know what negatives are good and bad?

I’m starting to understand but I think I just need an example

Because so far all the equations to me look the same

[rigid ivy]

All input must be positive. No restriction on output.

$\log 5$ is okay, $\log (-1)$ is not

[thorny flame]

SWR

[rigid ivy]

$\log_{-1} 1$ is not either, nor is $\log_{-1} (-1)$

[thorny flame]

SWR

[neon iron]

Ok

But why are some answers not solutions?

If they are negative

[rigid ivy]

If a certain x requires you to calculate the log of a negative value, then then that x is invalid because you cannot calculate a negative log

[neon iron]

Ohh I think I understand now

The answers with negative being a solution are the ones with = number

And the ones with negatives not being solution are the ones with negatives in the log question itself

[rigid ivy]

yes

[neon iron]

Ok

I think my teacher said there was a caveat

Where the answer could be negative

[topaz sinew]

@neon iron Has your question been resolved?

[neon iron]

I’m trying to remember the caveat

Where the inputs of logs COULD be negative

[topaz sinew]

@neon iron Has your question been resolved?

[topaz sinew]

@neon iron Has your question been resolved?

[neon iron]

They said that on the final logs weren’t always going to take the positive

They would take the negative of a input in some scenarios

[thorn scroll]

It is likely that your teacher believes that because there are questions such as $(-2)^x=-8$ gives $x=3$ that something like $\log_{-2} (-8)=3$ but for reasons that are harder to all explain here thats not strictly true.

[thorny flame]

Talos Teaches

[thorn scroll]

At least its not possible without taking complex numbers into account. But this may be what they want

[neon iron]

I believe so

[topaz sinew]

@neon iron Has your question been resolved?

[neon iron]

How is it not strictly true?

Majority of the times on tests and such it will not apply tho right

[neon iron]

.close

[topaz sinew]

Channel closed

Closed by @cobalt olive

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.

[lucid junco]

How can I simplify $\ln\left(\sqrt{e^{x}}\right)$ ? I know ln(e) = 1 but does that apply through square roots as well?

[thorny flame]

water beam

[ivory sorrel]

It's ln((e^x)^1/2)

and log(a^b)=blog(a)

[drifting swift]

numerous ways

you can either recognize ln(sqrt(x)) = 1/2 ln(x)

or that sqrt(e^x) = e^(x/2)

[lucid junco]

okay i did the algebra

[ivory sorrel]

you mean 0.5(x) right? ln(e^x)=x

[lucid junco]

and got x/2

as my answer

is that right?

[ivory sorrel]

I think so, but I could be wrong

[lucid junco]

okay i checked with desmos its right

.close

[topaz sinew]

Channel closed

Closed by @lucid junco

Use .reopen if this was a mistake.

[drifting swift]

my x is not op's x

[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.

[honest shard]

First of all sorry for my broken English, I need help with a mathematical finance problem. Can someone help me?

[drowsy root]

send the question

[honest shard]

A coupon bond is listed on the market with 9 months of residual life, half-yearly coupons at 6% per year, redemption value 105, market value 103,967. Calculate h(0;9/12)

I was already given h(0;3/12)= 0,0235
h(0;6/12)= 0,0254
h(0;1)= 0,0288

[topaz sinew]

@honest shard Has your question been resolved?

[honest shard]

no

[topaz sinew]

@honest shard Has your question been resolved?

[honest shard]

no

.close

[topaz sinew]

Channel closed

Closed by @honest shard

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.

[olive stream]

Not a task i need help with, but does anyone of you have a summary pdf or similar for all hypothesis tests, with the formulas etc

[olive stream]

thank you very much

.close

[topaz sinew]

Channel closed

Closed by @olive stream

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

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.

[toxic aspen]

Could someone help me understand how i utilize the trig functions ?

[toxic aspen]

For example

If i was given: Solve $sinx = \frac12$

[thorny flame]

Merineth

[toxic aspen]

I'd do: $x = sin^{-1}\frac12$

[drifting swift]

$x = \sin^{-1} \left( \frac{1}{2} \right)$

[thorny flame]

Merineth

Ann

[toxic aspen]

How do i utilize my table properly to translate arcsin(1/2) into an actual value

[drifting swift]

gonna need to look up 1/2 in the sin column in your table.

[toxic aspen]

I don't really understand the difference between if. x = sin(1/2) and x = sin^-1(1/2)

[drifting swift]

if. x = sin(1/2)
sin(1/2) means sin(0.5 radians)

the input of the sin function is to be interpreted as an angle

[toxic aspen]

Okay so whenever i'm given arcsin, arccos etc i should interpret that using the table by converting it into Radians?

So arcsin(1/2) = pi/6 ?

[modern rock]

yeah

[toxic aspen]

and if i'm given 30* it could be interpreted as cos(sqrt(3/2)), sin(1/2) or tan(1/sqrt3)

?

[modern rock]

explain?

is that meant to be 30 degrees?

[toxic aspen]

Yeah, idk how to make the degree sign

[modern rock]

no it would be the arccos, arcsin and arctan

the inverse functions tell you the angle

[toxic aspen]

What happens if i'm given

Solve the equation : $sinx=cos2x$

[thorny flame]

Merineth

[toxic aspen]

I can't take arcsin or arccos on either side as it seems redundant

However if i assume the values of x

Idk tbh

Just a tiny little hint is what i need

[ruby tree]

That doesn't have much to do with inverse functions

[toxic aspen]

No, i'm on trig now :3

[ruby tree]

cos(2x) = 1 - 2sin(x)^2

[toxic aspen]

Aaah

Yeah i got it to

$sin^2(x) + sin(x) = 1$

[thorny flame]

Merineth

[toxic aspen]

But i'm not sure how to proceed

i can't factor out sinx

[ruby tree]

That's just a quadratic

[toxic aspen]

Can i use quadratic on it?

[ruby tree]

Of course

[toxic aspen]

I was thinking it but what is p in this case?

[modern rock]

p?

[modern rock]

tf is that

[ruby tree]

An odd way of writing the quadratic formula

x^2 + px + q = 0

[toxic aspen]

Yeah

Precisely

[ruby tree]

Match this with your thing

[toxic aspen]

But i'm not sure what p is

[modern rock]

1

[ruby tree]

What's x here?

[toxic aspen]

so sin(x) is my x

[modern rock]

yuh

[ruby tree]

Right

[toxic aspen]

Aah okay one moment then

[modern rock]

if ur using this then please seek help

[toxic aspen]

i got x to be

$-1/2 \pm\sqrt{(5/4)}$

(idk how to make +- with the bot

[ruby tree]

\pm

[thorny flame]

Merineth

[ruby tree]

$-\frac12 \pm\frac{\sqrt{5}}{2}$

[thorny flame]

Nel

[ruby tree]

That's your sin(x)

[toxic aspen]

ooh so

i input that back into the equation?

[ruby tree]

?

[toxic aspen]

I assume i have to answer in Rad?

[ruby tree]

Probably yeah

[toxic aspen]

$\frac{pi}{6} \pm \frac{\sqrt{5}}{2}$

[thorny flame]

Merineth

[toxic aspen]

Not sure how to express the last fraction

since i don't have a table value

[ruby tree]

I don't know what you're doing but it's wrong

[toxic aspen]

That seems to be the answer but

Idk how to make the last fraction

into 2kpi/3

[restive inlet]

um did you have $\cos^2(x)$ or $\cos(2x)$

[thorny flame]

ℝαμΩℕωⅤ

[restive inlet]

you seemed to have conflated the two

[ruby tree]

I missed this, it's wrong

[toxic aspen]

i'll redo it

Don't i get

$2sin^2(x) + sin(x) -1 = 0$

[thorny flame]

Merineth

[ruby tree]

Yes

That's not what you had

[toxic aspen]

Yeah my bad ;-;

I divide everything by 2 now

and then use the quadratic formula

[ruby tree]

Sure

[toxic aspen]

I must be doing it wrong i think

$-\frac14 \pm \sqrt{\frac58}$

[thorny flame]

Merineth

[ruby tree]

Definitely

[toxic aspen]

,rotate

[ruby tree]

((1/2)/2)^2 = 1/16, not 1/8

[toxic aspen]

Really?

I thought it was

1/2)/2 = 1/4

and then square them

[ruby tree]

Yeah, 4^2 = 16

[toxic aspen]

I must be forgetting the priority rule

OHGOD

[ruby tree]

[toxic aspen]

Please forget that

I'm hangry hahah

okay so

$-\frac14 \pm \frac34$

[thorny flame]

Merineth

[ruby tree]

Yeah

Simplify

[toxic aspen]

$sin(x)_1 = \frac12 \
sin(x)_2 = -1$

[ruby tree]

Right, 1/2

[toxic aspen]

lol yea 💀

[thorny flame]

Merineth

[toxic aspen]

So we get two answers

$x_1 = \frac{\pi}{6} + 2\pi k \
x_2 = -\frac{\pi}{2} + 2\pi k$

[thorny flame]

Merineth

[ruby tree]

Right

[toxic aspen]

,w solve the equation sinx = cos2x

[thorny flame]

Results provided by WolframAlpha

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

Requested by merineth

[toxic aspen]

uh i assume that is corect?

[ruby tree]

Ok so the first one is your x_2

The second one is your x_1

[toxic aspen]

aaah yeah i see now

wba 3rd?

[ruby tree]

Not sure let me graph it

[toxic aspen]

🫶🏻

[ruby tree]

Right so sin(x) = 1/2 has two solution in [0,2pi)

Unfortunately your table only gives you one

[toxic aspen]

aah oki

[ruby tree]

But sin(x) = sin(pi-x)

[toxic aspen]

I think it's time to cook some food tho before i make another 4^2 = 8 mistake 🙂

[ruby tree]

Ok well basically you need both pi/6 + 2pik (your x_1) and pi-pi/6 + 2pik

(or 5pi/6 + 2pik)

That's the third answer from WA

And you can combine all three into one single answer that your material gives

[toxic aspen]

Ah oki

thanks Nel

see you tomorrow hopefully !

.close

[topaz sinew]

Channel closed

Closed by @toxic aspen

Use .reopen if this was a mistake.

[ruby tree]

In case you want to play around with a graph:
https://www.desmos.com/calculator/gynefdla1y

[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.

[real blaze]

x^3-18x-35=0 i want to know about its roots

[real blaze]

Should I use descartes rule?

[cursive patrol]

depends on what you want to know about its roots

i'd try rational root theorem and seeing if there are any rational roots first

[real blaze]

How it works?

Could you teach me in simple way?

[cursive patrol]

this image says it all i guess

if a polynomial has a rational root, then the root must be of that form (could be positive or negative)