help-28

[sudden yew]

how?

[wild sleet]

{1} is a subset of A

{{1}} a subset of P(A)

[sudden yew]

thank you frownyfrog.

.close

[full forum]

Channel closed

Closed by @sudden yew

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.

[nimble bear]

Can you help me with my exercises from 1 to 8.

[torn jolt]

where exactly are you stuck?

Exercise 1, basically factorize and you'll get your answer

[torn jolt]

in such a way that you don't get denominator 0 when you plug the value of x

[full forum]

@nimble bear Has your question been resolved?

[nimble bear]

Can you do exercise 1 to 3 for me?

Because I didn’t attend the lesson.

So I don’t understand anything about it.

[torn jolt]

what is it that you don't understand 😅

do u know limits, functions?

Cause they can't teach whole thing in one lesson 😭

[nimble bear]

I had some problems last year 😭

[torn jolt]

Oh i'm sorry!

But i think it's important for you to understand them more than me solving them.

[nimble bear]

Yeah but it’s due tomorrow, so I can’t really under the whole lesson in a couple of hours.

That’s why I’m asking someone to solve it for me.

[torn jolt]

well

Look at the first question of exercise 1

what do u understand from it?

also i don't understand what the question above it says 😅

the french one

[nimble bear]

It basically says to study the continuity of the function f(x) in x0.

[full forum]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[nimble bear]

.reopen

[full forum]

✅

[torn jolt]

I'm sorry i can't help u rn I'm a bit busy

but

<@&286206848099549185> can

[full forum]

@nimble bear Has your question been resolved?

[full forum]

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.

[plush path]

do you know the steps for solving an equation like this?

In other words do you also know how to find critical points

[lavish tapir]

no i forgot abt it already..

T-T

[sharp vine]

just vertex form of a quadratic

[lavish tapir]

vertex?

[sharp vine]

a(x-p)^2 + q
V = (p,q)
substitute (0,0) to find "a" coeff

that's it

[lavish tapir]

whaaaa

im more confused now

[lavish tapir]

h,k is (1,2) right

aaaaaaaaaaaa

[sharp vine]

ye

[lavish tapir]

got it got it

how bout this

is it simultaneous

the equ of the curve with y=3/2

nvm i got it

how do i show <@&286206848099549185>

[torn jolt]

send the q 1st, wheres figure

[lavish tapir]

wait nvm i alr did it ehehe

for this one is it correct that i got 2x

[mighty ridge]

what does "Find 2fg(x) = 3" mean ? solve it ? is fg the 2 functions compounded ?

if yes to both, then fg(x) = x
so 2fg(x) = 2x = 3

and then you have to conclude that x = 3/2

[full forum]

@lavish tapir Has your question been resolved?

[torn jolt]

9 is the diametric form
(x-x1)(x-x2) + (y-y2)(y-y1)

put x1,y1 and x2,y2 as given points

[lavish tapir]

3?

why 3?

[lavish tapir]

ah so your sayin

fg(x)=3/2?

how do i do this?

[mighty ridge]

show that f^-1(x) = sqrt(x+4)+1 (it's g(x))
then you're looking for the intersection with the graph of f so when x is the solution of f(x) = f^-1(x) ie f(x) = g(x)

however, I would guess that the previous questions are here to help you for this one

[full forum]

@lavish tapir Has your question been resolved?

[lavish tapir]

got it

[full forum]

Channel closed

Closed by @lavish tapir

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.

[torn jolt]

How should i approach this?

<@&286206848099549185>

[rocky topaz]

dont know

[torn jolt]

<@&286206848099549185>

Ping me when anyone solves it

[full forum]

@torn jolt Has your question been resolved?

[torn jolt]

<@&286206848099549185>

[green ledge]

bro stfu

[torn jolt]

So help me

@green ledge

<@&286206848099549185>

Anyone??

<@&286206848099549185>

[tribal oxide]

great way to get ban

[full forum]

@torn jolt Has your question been resolved?

[full forum]

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.

[hexed spruce]

hello, I've been trying to solve the problem right here, I have the solution, but idk what is the process to solve it like it's described here. Can someone explain me how did I get to the second part explained here?

[summer echo]

They've written sqrt(x + 2) - sqrt(x - 2) as a fraction with denominator 1 and multiplied by the conjugate, same for the numerator

So $\frac{\sqrt{x + 2} - \sqrt{x - 2}}{1} \cdot \frac{\sqrt{x + 2} + \sqrt{x - 2}}{\sqrt{x + 2} + \sqrt{x - 2}}$

[glossy valve]

Jelle

[hexed spruce]

ok, but where does the 8/4 comes from

[summer echo]

Try what happens if you multiply this out

[hexed spruce]

isnt it (a-b)^2?

[summer echo]

No it's (a + b)(a - b) = a^2 - b^2

[hexed spruce]

It would end in something like (x+2-x-2)/sqrt(x+2) + sqrt(x-2)? after multiplying both numerators?

that's what I got

idk if not

[summer echo]

It should be ((x + 2) - (x - 2)), where the (x - 2) is between brackets

That way it cancels out to 4

[hexed spruce]

yeah I got 4 on the numerator after that, but after what do I do

[summer echo]

You do the same with sqrt(x + 4) - sqrt(x - 4)

[hexed spruce]

ohhh ok now I get it

ty

[full forum]

@hexed spruce Has your question been resolved?

Channel closed

Closed by @hexed spruce

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[fluid prawn]

I got all 3 wrong

Help

<@&286206848099549185>

[slate shell]

For the first part you need to check the domain

It’s only between -4 and 4

[slate shell]

So the graph that u chose is x^2-9 however the x values got beyond 4 and -4

So what other graph goes through (3,0) (-3,0) and (0,-9)?

[fluid prawn]

Só domain is [-4,4]

Range is [-9,9]

?

[slate shell]

Not quite

-9 is correct for the lower value

What is the maximum value |x| can take?

[fluid prawn]

Idk

[-9,8]?

[slate shell]

The x values are the domain

So if the domain is [-4,4] what’s the largest |x| value

[fluid prawn]

4

[slate shell]

Yep

So then u substitute 4 into the equation

x^2 -9

To get the maximum y value which is the upper value to the range

[fluid prawn]

7”

@slate shell how about this

Is the range also -inf,inf

.close

[full forum]

Channel closed

Closed by @fluid prawn

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.

[hexed spruce]

Hello can someone help me with this?

[hexed spruce]

what do I do after this

to get the limit

nvm I got it

.close

[full forum]

Channel closed

Closed by @hexed spruce

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[hidden ocean]

hi

[rough tundra]

[hidden ocean]

I was wondering if anyone could explain this derivative to me. I was under the impression that if f was decreasing, the derivative y value would be under the x axis

[hidden ocean]

i was tryna claim it really fast

[hidden ocean]

f is in red, and f' is in blue. I was wondering why the left part of f' wouldnt be going downward, becasue f is decreasing in the middle tehre.

Nvm, i got the derivative wrong.

.close

[full forum]

Channel closed

Closed by @hidden ocean

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.

[earnest fulcrum]

yo

[earnest fulcrum]

this is fast question

i just want someone how my professer got from this step to the other

questions plus answer

how did he get to this part

the x ^ 1+b-1

<@&286206848099549185>

[full forum]

@earnest fulcrum Has your question been resolved?

[full forum]

@earnest fulcrum Has your question been resolved?

[full forum]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[dense edge]

is it considered "bad practice" to visualize dx as the width of each interval (the size of n)?

or is this exactly what dx means

[white geyser]

dx is literally delta x, the difference in x

[dense edge]

LOL

alright

I thought it was the entirety

from 0 to pi in this case

and dy would be 1

[white geyser]

if your interval was that large the difference in y from 0 to pi is 0, since y value is 0 on both ends of that interval

i know 3b1b is popular and all, but its "quick," and doesn't really provide the insight behind integrals. you should pick up a calc book if you haven't already. my book introduces the riemann sum first, which is key to understanding what exactly you're doing with integration.

[dense edge]

oh right, the y value starts at 0, goes to 1, ends at 0

[dense edge]

so dx is referring to an infinite sum

and this is always the case for dx?

[white geyser]

no, the integral is the sum

dx is part of the notation of the integral operator

[dense edge]

oops, bad wording

lemme rephrase that

dx is referring to the change in x value, to infinitely many rectangles?

rather than the sum itself

the S symbol would do that operation

[white geyser]

in essence, yes. dx refers to the size of the rectangles, or interval.

[dense edge]

OK

interesting

[white geyser]

not to be confused with the interval of integration

[dense edge]

so in the case of sin, for dy, the upper limit is 0, and the lower limit is 0. (b-a)
(0-0) = 0

[white geyser]

if the size of your dx was pi

[dense edge]

right

ty that makes a lot of sense now

[dense edge]

i don't know if I have heard this term before, "interval of integration"

[white geyser]

the interval of integration is [a, b]

this is the meat of it, which is hard to grasp from just 3b1b videos

[full forum]

@dense edge Has your question been resolved?

[full forum]

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.

[west field]

Not sure how to approach (c)

[full forum]

What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above

[west field]

2

or 1 maybe

[twilit leaf]

Do you have any work or ideas?

[west field]

i tried letting z=x+iy

[twilit leaf]

Ok, good start

[west field]

I get

y^2=2xyi

[twilit leaf]

Show your work, you made a mistake

[west field]

okay

okay i noticed it

ill fix it and see what i get

[twilit leaf]

Okie doke

[west field]

I think this is right

Should I cancel this down?

[full forum]

@west field Has your question been resolved?

[west field]

I don't really get a solution I can sketch

[robust slate]

Assuming that's correct, $xy=0$ implies that $x=0$ and/or $y=0$

[glossy valve]

Civil Service Pigeon

[full forum]

@west field Has your question been resolved?

[full forum]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[hardy pivot]

dont really know where to start to find h

if anyone could help

[split swift]

the triangle on the left is a right triangle, so you could use pythagoras

(with hypothenuse = 9 and base = a = 9sqrt(3)/2)

[robust slate]

didn't I answer this earlier

[hardy pivot]

p sure u showed me like x/9 or something and i didnt understand lol

[hardy pivot]

b^2 = 9^2 - 9sqrt(3)/2^2?

b^2 = 81 - 81(3)/4

b^2 = 81 - 243/4

this feels very wrong

i dont think im doing it right

[split swift]

keep simplifying

[hardy pivot]

im not entirely sure how to simplify 243/4

unless its like

b^2 = 81 - 60(3/4)

b^2 = 21(1/4)

b = sqrt(4(1/4))

[split swift]

81 - 243/4 is 81/4

also mixed fractions are generally a bad idea

[hardy pivot]

oh yah

i forgot u can turn random numbers into fractions like that

how do u square root 81/4 tho when b^2 = 81/4

nvm

should be 9/2 no?

or 4 1/2 depending on how u wanna simplify it

[split swift]

9/2 yes

[hardy pivot]

then to find g it would be

sin 60° = 9/2/g right?

or
sqrt(3)/2 = 9/2/g i think

yep alrighty ty

that helps a lot

.close

[full forum]

Channel closed

Closed by @hardy pivot

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.

[fervent anchor]

but when I remove it

i get ma=0

lol

im lost

<@&286206848099549185>

<@&286206848099549185>

lol

[gentle oracle]

I tried doing this for your question

@fervent anchor

[full forum]

@fervent anchor Has your question been resolved?

[full forum]

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.

[serene hazel]

thats the bot usually do

[full forum]

@torn jolt Has your question been resolved?

[full forum]

@torn jolt Has your question been resolved?

Channel closed

Closed by @next current

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.

[agile geode]

Is that right?

[empty sapphire]

yep nice work

however, one result is erroneous

can you see which one?

[agile geode]

-8?

[empty sapphire]

bingo

do you know why?

[agile geode]

Log cant use negatives

Something like that

[empty sapphire]

yep

[agile geode]

.close

[full forum]

Channel closed

Closed by @agile geode

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.

[jolly monolith]

i need help solving this problem

[dire holly]

x is 16cos(30)

and y is 16sin(30)

cos(30) is sqrt(3)/2

so ur value for x shld be positive not negative

as both sin and cos are positive in the first quadrant

[odd fox]

How did you solve it?

[cursive badger]

draw cartesian equation

and line with length 16

and angle of 30

and use trig to solve x and y

[jolly monolith]

oh i get it thank you very much for the help

.close

[full forum]

Channel closed

Closed by @jolly monolith

Use .reopen if this was a mistake.

[full forum]

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 grove]

A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the pole with a speed of 4 ft/s along a straight path. How fast (in ft/s) is the tip of his shadow moving when he is 30 feet from the pole?

[odd fox]

First draw the diagram

And show it here

[woeful grove]

I’m not sure how to draw the shadow

They didn’t go over any problems like this in the lectures

[odd fox]

Draw a hypotenuse along the man

[odd fox]

Basically just extend the hypotenuse and the horizontal

[woeful grove]

im lost

[odd fox]

Just draw a horizontal line from the man's leg such that it touches the hypotenuse you extended

[full forum]

@woeful grove Has your question been resolved?

[full forum]

@woeful grove Has your question been resolved?

Channel closed

Closed by @woeful grove

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.

[odd fox]

Say I had the function f(x)=1/x where the domain is R-{0} it's a continuous function, right?

[onyx glen]

yes

[odd fox]

Thanks .close

.close

[full forum]

Channel closed

Closed by @odd fox

Use .reopen if this was a mistake.

[full forum]

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.

[atomic gate]

how do i do question 4

[golden shore]

maybe express them all in the form of coordinates

[atomic gate]

[golden shore]

as we know that tan(theta)=y/x

and sin=y/r etc.

[atomic gate]

i do not know that

and im supposed to prove that RHS = tan A

i mean LHS

[still oak]

prove LHS = tanA

[atomic gate]

yes

[still oak]

i got (tanA - 2)/(2tanA - 1)

which is equal to tanA but i dont know how to end it there

[atomic gate]

arghhghgghghh

nvm ill ask my teacher

thanks for trying to help tho 😁

.close

[full forum]

Channel closed

Closed by @atomic gate

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.

[full forum]

@woeful tapir Has your question been resolved?

[woeful tapir]

<@&286206848099549185> can you suggest how can i write the green's function for Cylindrical and Cartesian coordinate for laplace's equation

[winged lagoon]

I think that Microsoft word office 2019 and the previous versions in math editor provides the necessary tools

[woeful tapir]

Hi Gorge! I didn't understand what you are saying . It will be very helpful if you kindly explain it a bit .

[winged lagoon]

You open a new word file you go to insert option in ribbon menu and you choose insert function. And then it opens the math editor. See the options is has....

[full forum]

@woeful tapir Has your question been resolved?

[full forum]

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.

[primal pewter]

Can someone explain this in steps, the topic is simplifying radicals. I'm confused about the b.

[fallen hearth]

when you multiply the radicals the terms inside the radicals get multiplied under the radical right

so

that would be

√50x^2

or

√2•25•x^2

[primal pewter]

Yeah

I got that part too

but how do you have the result from that?

ohh shit

I realised

[full forum]

@primal pewter Has your question been resolved?

[full forum]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[full forum]

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.

[ocean moon]

hi, i need to figure this one (I'm not a native english speaker)
how do I solve 22/(3+sqrt(17))

my calculator says its around 3.08854
a friend told me its 22/8=2.75
and an online calculator says its 34/7=4.857

[torn jolt]

can you send a clearer image?

@ocean moon

[ocean moon]

what part of the image should be clearer? my writing is not that good if thats the problem

[torn jolt]

your friend is clearly wrong

[ocean moon]

should the picture be bigger?

[formal scarab]

why'd you cancel the three there

[ocean moon]

has the be 17/3 then right?

or just leave it right?

brb

[torn jolt]

1st one is correct

[torn jolt]

22/ 3+ sqrt17
22/(3+4.23)
22/7.23 which is approx 3

[torn jolt]

so wrong

[ocean moon]

whats wrong there

[torn jolt]

eqn is 22/ 3+sqrt17 right?

[light sonnet]

Whatever you did here is wrong

[ocean moon]

yes fixed it

[torn jolt]

then how did you got this eqn

[ocean moon]

wdym?

[torn jolt]

i mean that 3^2 - 77 = 68

-ve 68

[ocean moon]

I need to solve it without calculator btw which is why I need to get it without it

[light sonnet]

Also $3^2 - 17 \neq 14$

[glossy valve]

dldh06

[torn jolt]

right

[ocean moon]

oml how did i get to -14 lmfao

[torn jolt]

its 8

[light sonnet]

No it's not

-8

[torn jolt]

yes i forgor -ve

sori

[ocean moon]

then how do i continue there? i dont get how I get rid of that sqrt

[light sonnet]

You don't need to get rid of it

You can leave it

[ocean moon]

but I need to sort a few fractions by size and personally I cant see rn if its bigger than 22/7 and 21/7 or smaller

[light sonnet]

Can you send the original problem?

[ocean moon]

Sort the following rational numbers by size

[light sonnet]

Then honestly, you may have created more work than needed

[ocean moon]

we were given this as help

[light sonnet]

So 22/7 = 3 + 1/7
22/(3 + sqrt(17)) -> sqrt(17) is close to sqrt(16) = 4 but there's a little extra so 4....., so 22/(3 + 4......) or 22/7....... and because the denominator is just a little bigger than 22/7, that means 22/(3 + sqrt(17)) is smaller than 22/7

[ocean moon]

hm, seems legit ty
but idk if thats a viable solution tbh xD

ty though

.close

[full forum]

Channel closed

Closed by @ocean moon

Use .reopen if this was a mistake.

[full forum]

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.

[clever meteor]

can anyone help?

[glossy valve]

You must be a bot manager to use this command!

Oct 2, 2023, 3:30 PM

[torn jolt]

!status

[full forum]

What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above

[clever meteor]

@torn jolt i dont know where to begin

[full forum]

@clever meteor Has your question been resolved?

[full forum]

@clever meteor Has your question been resolved?

[full forum]

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.

[viral plume]

16x+16y+16z=xyz solve this in integers

[full forum]

@viral plume Has your question been resolved?

[viral plume]

<@&286206848099549185>

.close

[full forum]

Channel closed

Closed by @viral plume

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.

[spring vigil]

can someone help me understand why this is the answer?

[light sonnet]

You can plug in values for x

Like what happens if you do x = 3?

[spring vigil]

becomes 9

[light sonnet]

And which graph has (3, 9) as a coord?

[spring vigil]

ok i get it

for this one i should make it x^2 - 1 ?

[light sonnet]

No

x^2 - 1 is not the same as 1 - x^2

[spring vigil]

i was trying to get the y=mx+b

[merry olive]

For graphing quadratic equations (lets just look at the one on the left) each element transforms the graph. A stretches the graph, b shifts the graph left or right and c shifts the graph up and down

[light sonnet]

You can't because it's not even a line

[spring vigil]

oh it only works for straight ones?

ok i get u

[light sonnet]

Not really helpful because the opening sideways parabola is x = y^2

[spring vigil]

so just leave it like that

[light sonnet]

Yes

You can do what you did before, plug in values for x

[spring vigil]

if its + x i would go upwards am i right

since its - x^2 it shoul be downwars

[light sonnet]

so x = ..., -2, -1, 0, 1, 2... if it's multiple choice

[light sonnet]

You mean +x^2?

[spring vigil]

yeah if it was 1 + x^2 the parabola would be smiling

[light sonnet]

Yes

[spring vigil]

okayy i get it, i appreciate u

[light sonnet]

I was clarifying because you left out the ^2 part

[spring vigil]

.close

[full forum]

Channel closed

Closed by @spring vigil

Use .reopen if this was a mistake.

[full forum]

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.

[full forum]

@covert light Has your question been resolved?

[solemn coral]

take the derivative

derivative = negative -> decreasing

and vice versa

find where derivative = 0 thats where the derivative changes from - to + or from + to -

take the second derivative

if secodn derivative at that 0 point is positive, its a minima ( not technically) or the derivative is increasing, menaing it went from negative to positive

meaning at the point where the derivative = 0, at that c value, on the left side (less than) the graph had a negative gradient and was decreasing

vice versa for the right side

if the second derivative is negative its a maxima, so the opposite

so gradient goes from positive to negative

or increasing to decreasing

anyway have fun

@covert light

[full forum]

@covert light Has your question been resolved?

[full forum]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[vapid frost]

help me!!!

<@&286206848099549185>

[solemn coral]

simple interest, not compound interest

youve computed compound interest

[vapid frost]

OHHHHHHHHHHHHHHHHHHHHHHH

thanks!

/close

.close

[full forum]

Channel closed

Closed by @vapid frost

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.

[dusky lily]

i need help finding angle x and angle y

[full forum]

@dusky lily Has your question been resolved?

[sharp sinew]

try finding these 2 angles and then make an equation. Then do simultaneous

@dusky lily

[wide linden]

Oh

The

One

The angle

In the corner

Next to 63

Degrees

=7x-31

Alternate angles

Then

Using inner angles sum to out side exterior angle.

To find x and solve y

[sharp sinew]

The angle above 5x-8 would be 4y+27 by corresponding angles right?

Which means one of our equation is 5x-8+4y+27=180

[sharp sinew]

Then as you rightly pointed out, the other angle is 7x-31. Which means 7x-31+63+5x-8=180

So now you just have to simultaneous

@dusky lily

[wide linden]

Yes

[full forum]

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.

[fossil mantle]

What did i do wrong

[glacial pasture]

when you evaluated the x integral , should be (45-27/2)-(0), if you pull out 3/2 then the integrand is 30-9=21

you evaluated the limits in reverse and factored incorrectly

[full forum]

@fossil mantle Has your question been resolved?

[full forum]

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.

[warm plume]

i am finding this question a bit trickey, could some one help me please?

[formal scarab]

work backwards from what you were doing before

[warm plume]

i tried that but i confused my self lol

@formal scarab did i do it right?

[formal scarab]

yeah

[warm plume]

thank you for the help

.close

[full forum]

Channel closed

Closed by @warm plume

Use .reopen if this was a mistake.

[full forum]

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.

[rotund pulsar]

little conceptual question about linear combinations

what is r here? is this assuming that the size of V = size of F? is it the size of the smaller set?

[full forum]

@rotund pulsar Has your question been resolved?

[full forum]

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.

[full forum]

Please don't occupy multiple help channels.

[bronze tusk]

how do you get taht answer

of negative infinity

[sacred crystal]

well

when you plug in values of x that go towards infinity

what do you get

[bronze tusk]

so is it just guess and check

[sacred crystal]

well theres no guessing

what does the question say

i see its cut off

[bronze tusk]

evaluate the following limits.

[sacred crystal]

yeah so

as x gets closer and closer to positive infinity

what are the outputs

[sacred crystal]

?

[bronze tusk]

.close

[full forum]

Channel closed

Closed by @bronze tusk

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.

[boreal token]

Hello, if there are 2 gamepad buttons X and Y and you can combo it to 4 inputs 1 example would be X + Y + X + Y
How many 4 button combos are there without repetition?

[spice orchid]

Without repetition?

[boreal token]

other examples would be
X + X + Y + Y
Y + Y + X + X
how many 4 button combos would there be?

I don't think I understand without repetition, just like in a video game combo

[sharp fable]

@spice orchid Can I please get some help in my channel after you're done with Judi?

[keen shoal]

is that the original question?

[spice orchid]

Don't ping me an interrupt someone else's channel that's rude

[boreal token]

let's say your character can combo attacks 4 times with the buttons X and Y how many 4 button combos are there?

[spice orchid]

You have 2 options for each button press

[sharp fable]

My apologies.

[spice orchid]

And you have 4 button presses

[boreal token]

how do I figure out how many combos are there?

[spice orchid]

If it was only 1 long combos how many would there be

[boreal token]

something like this:
X + X + X + X
Y + Y + Y + Y
X + X + Y + Y
Y + Y + X + X
X + Y + X + Y
these are 5 combos that pop up in my head, how many are there without having to manually trial and error them?

[spice orchid]

If the combos were only one button long, how many would there be

[boreal token]

I don't quite understand this question, 1 button long you mean to say I only get to use 1 button? If it is 1 button (say Y) and 4 inputs then there will only be 1 combo of 4 buttons

Y + Y + Y + Y

[spice orchid]

I am saying rather than these being 4 buttons long, they are only 1 button long, how many options will you have

We're starting easy so you spot the pattern

Your combos no longer require you to press 4 buttons, just 1 button, what are your options

[boreal token]

oh I see, if there is only 1 input required then the combos will be 2 they are X and Y buttons

[spice orchid]

Okay input was a better word for it

Okay what if now 2 inputs are required?

[boreal token]

yes input cause in programming when it's asking for info you press a key that's an input
2 inputs:
X + X
X + Y
Y + X
Y + Y

so there are 4 combos

[spice orchid]

Great, notice how to get those we just take all the old 1 input combos and add either an X or a Y to the end

Do you think you can work out how many 3 input combos there are without listing them all?

[spice orchid]

Using this fact

[boreal token]

Oh yeah now that you've mentioned it it's just adding X and Y at the end

8 combos for 3 inputs?
16 combos for 4 inputs?

[spice orchid]

You got it

It's 2^n in general

[boreal token]

I see thanks!

2 since there are 2 buttons? and raise to n the amount of inputs?

Thank you so much @spice orchid

[spice orchid]

Yep

(Buttons)^inputs

[boreal token]

Thank you once again! Have a nice day 🙂

.close

[full forum]

Channel closed

Closed by @boreal token

Use .reopen if this was a mistake.

[spice orchid]

You too

[full forum]

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.

[torn jolt]

derivative of a constnat is 0, so u get 0 = (product rule)

but it does not work when i do that

[full forum]

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

[torn jolt]

putting dtheta/dr to one side and dividing etc wont get me the answer

so idk what im doing wrong

.close

[full forum]

Channel closed

Closed by @thin gazelle

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.

[pliant quarry]

I don’t understand how to solve this

[astral hollow]

What do you mean solve ? You just wrote down log(1/1000)=-3 which is a true statement. Or are you asking how to get to the solution when given log(1/1000) ?

[pliant quarry]

Oh yeah sorry i have to write it in exponential

Im not sure exactly what to do with this because of the fraction

[astral hollow]

Are you working on a specific problem right now ?

[pliant quarry]

Well the problem is just the picture and the instructions say to write the logarithmic equation in exponential form

[astral hollow]

Huh.... i am not sure what they want. my GUESS would be that you have to convert the fraction inside the logarithm into an Exponent because the authors want to emphasize how the logarithm works.

Since log is kind of the inverse of exponentiation

[pliant quarry]

So would I put log 1000 to the - = -3

Then switch it to exponential form?

[astral hollow]

Does this look familiar ? $a^{-n}=\frac{1}{a^n}$

[glossy valve]

ImToxiiq

[pliant quarry]

No it does not

[astral hollow]

Hm, then i am really Not Sure what your task is asking you to do. The definition above means that 1/1000=10^(-3) and from there one can apply Log Rules to Show that the equality holds

[pliant quarry]

I can give u an example it gives to me if that may be helpful

[astral hollow]

👍

Yes pls

[astral hollow]

Oh Looks Like this ist what i told you here

Basically the topic is Power and logarithmic rules

[pliant quarry]

I was just taught this today so im am not to familiar with the rules

[astral hollow]

No worries. The three important Things to notice Here are: 1/1000=1/(10x10x10)=1/(10^3)=10^(-3), Log(a^n)=n * Log(a) and Log(10)=1 Note: Log is the logarithm Base 10 Here

[pliant quarry]

Wouldn’t it just be this?

[astral hollow]

Those equalities are both true yes. Now Just Plug in 10^(-3) into the log

Oh

Mb

I misunderstood what the question asked

[astral hollow]

Yeah, this solution should be correct

[pliant quarry]

Ok thank you

I appreciate the help

[astral hollow]

:)

[pliant quarry]

.close

[full forum]

Channel closed

Closed by @pliant quarry

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.

[lime crescent]

How do I find the domain of a composite function

[lime crescent]

I can’t wrap my head around it

[light sonnet]

Do you know what f(g(x)) means?

[lime crescent]

Yes

I’m stuck on trying to find the domain

[full forum]

@lime crescent Has your question been resolved?

[lime crescent]

Nope

<@&286206848099549185>

[lime crescent]

: (

.close

[full forum]

Channel closed

Closed by @lime crescent

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.

[fathom saddle]

Good! You're now solving a linear equation

Every term with a dy/dx on one side, everything else on the other

Yes. You should.

[full forum]

@devout idol Has your question been resolved?

Channel closed

Closed by @devout 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.

[arctic perch]

I have doubt in both d and e bit of 4th question

[arctic perch]

<@&286206848099549185>

[full forum]

Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.

[arctic perch]

<@&286206848099549185>

[full forum]

Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.

[arctic perch]

SHUT UP

[light sonnet]

Why the hostility?

[arctic perch]

Sorry

It's a bit annoying

[light sonnet]

What is? You pinged helpers early and was told you needed to wait 15 minutes and then you pinged again without waiting, I don't see anything annoying about getting told to follow the rules

[light sonnet]

What's the doubt?

[arctic perch]

The d bit

And e bit

But first the d bit

I don't understand how to use identities bro zthey have no square there

[light sonnet]

Have you tried anything?

[arctic perch]

Well I tried to convert cos^2 ti 1-sin^2

But I don't what to do next

[light sonnet]

What about finding a common denominator and adding the two fractions?

[arctic perch]

In the RHS there is no fraction

I could do LCM

But it will be too complicated

[full forum]

@arctic perch Has your question been resolved?

[arctic perch]

<@&286206848099549185>

Bruh

.close

[full forum]

Channel closed

Closed by @arctic perch

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 canopy]

what am I doing wrong

[full forum]

@fickle canopy Has your question been resolved?

[fickle canopy]

<@&286206848099549185>

[arctic perch]

.close

[fickle canopy]

?

.close

[full forum]

Channel closed

Closed by @fickle canopy

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.

[urban bramble]

quotient rule for derivative

i’m pretty confident until the last step

did i simplify right ?

[full forum]

@urban bramble Has your question been resolved?

[full forum]

@urban bramble Has your question been resolved?

[full forum]

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.

[pliant quarry]

“In(x-4) = In2” since there is no base in either side would it be automatically 10 for both bases?

[gritty rose]

$\ln$ is reserved for log base e

[glossy valve]

riemann

[pliant quarry]

Does e have a value?

[rocky vale]

yes, e is a real number

,calc e

[glossy valve]

Result:

2.718281828459

[full forum]

@pliant quarry Has your question been resolved?

[tacit siren]

the base doesn't matter for this problem regardless

[full forum]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[full forum]

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.

[dapper kestrel]

I have talked my Algebra II teacher's ear off about theoretical questions (I don't expect any other sophomores to have asked her these types of questions before) and one in particular has stumped me. I'm not sure how to properly format or describe my question, but I will ask it to the best of my ability.

This question stands for any two transcendental numbers, but for example, we'll take Pi and e. Let's say you have an infinitely long sequence of digits from e, can this sequence be found inside of Pi? They both stretch to infinity...

• How would you represent on paper the length of the largest sequence of numbers found both in Pi and e?
• Another problem with this question is that it'd mean that this infinitely long sequence of e is in some way smaller than another infinitely long sequence of Pi... Can two different instances of infinity somehow be different in size?

Maybe I'm overthinking it or incorrectly assuming that you can find this sequence in Pi.

[fast peak]

well this would basically mean that pi and e "end" the same way

they are both of the form rational number + same "end"

this could be, I dont think we know. it would of course be very surprising

[meager dew]

it's an interesting thought, though

[wide sundial]

I think we don’t know because we don’t know if pi - e is transcendental or not

[solid zinc]

infinite monkey theorem says yes to ur first question

[fast peak]

no

[wide sundial]

That works for finite sequences

[fast peak]

and we dont know if e and pi are normal numbers

[dapper kestrel]

I see that logic but also ask how you'd represent the limit of how many digits you can find inside of it. Is there a limit? They're both infinitely long...

[solid zinc]

wdym?

infinite is in the name

[fast peak]

everything that involves a digit representation is always a bit awkward to write down as a formula

[meager dew]

while it's true that every finite sequence is somewhere within pi's decimals, that's not necesarrily true for infinite sequences

[wide sundial]

No it’s saying an infinite random sequence contains any finite sequence

[fast peak]

(almost surely)

[solid zinc]

ohh

[wide sundial]

(Almost surely)

[solid zinc]

ok that makes sense

[wide sundial]

Are we even sure that the digits of pi are random

[fast peak]

no

[wide sundial]

Sounds like all we can really do is grasp at straws and say nothing about the truthfulness of your statement

[dapper kestrel]

Even if it wasn't random, we do know that each digit will appear around the same amount of times as any other

[wide sundial]

Do we?

[fast peak]

no

[wide sundial]

[full forum]

@dapper kestrel Has your question been resolved?

[full forum]

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.

[torn jolt]

how does this one work

[torn jolt]

so 2n +1, n is an element in N and 50 is less than or equal to n, and n is less than 100

i don't get it

[tight glen]

what do you not understand?

and what are you asked to do?

[torn jolt]

sorry f

for the late reply

uh

so he asked us to make it so the numbers would be uneven

so

1

3

5

and so on

and this is one of the possibilities

i just don't understand everything in it

mainly the "n" part

[tight glen]

every 2n+1 is an element of this set where that n is a natural number between 50 and 100, n is not 100

[tight glen]

why does the n part confuse you?

[torn jolt]

whats the point of it

the 2n + 1

i get that n isnt a 100

[tight glen]

2n+1 is the element of that set, but the " n is a natural number between 50 and 100, n is not 100 " is a way to tell you all the values that n can have

[torn jolt]

yeah i get that but the result of this would be 51,53,55.. up until 99

right?

[tight glen]

no

[torn jolt]

it wouldnt?

then i looked at it wrong

[tight glen]

list the n that follows this criteria "n is a natural number between 50 and 100, n is not 100"

[torn jolt]

so what happens after u find out what n is?

lets say n is 51

what would happen then?

[tight glen]

n = 50, 51, 52, 53, 54, 55, ... 99

[tight glen]

then you plug the values of 'n" into 2n+1

[torn jolt]

would it be 2 times 51 + 1?

[tight glen]

to list down the elements of rhe set

2(51) + 1

yes

[torn jolt]

oh

shit

[tight glen]

that would be your element

[torn jolt]

well i knew that i just thought i was wrong

wait

[tight glen]

corresponding to n= 51

[torn jolt]

ues this next

let me try it first

okay so

x is an element of Z

100 is smaller than x and x is bigger than 200 which means its between 100-200

and x/2 will not be a part of Z

so this would mean that oneven numbers are the only possibilities here

100/2 would make it not part of 2 but 101/2 would

is that right?

[tight glen]

yes you are right

[torn jolt]

oh

shit

okay

thank you

[tight glen]

you are welcome:)

[torn jolt]

.close

[full forum]

Channel closed

Closed by @dawn blade

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[eager crag]

Square root of 10 = 10^1/2

[eternal sapphire]

Wait what

Isn’t it square root 10^3

[eager crag]

you dont have to put the 3 back in

[rapid rain]

yeah you really don't need to bring the 1/2 and the 3 inside the logs

$\log_{10}(10) =?$

[glossy valve]

rafilou2003

[eternal sapphire]

oh

that’s just what our teacher told us to do

[eternal sapphire]

That’s what I put into the calculator and got the answer i don’t know if there’s a easier way

[eager crag]

you can use any method you want

[eternal sapphire]

Alright thanks

.close

[full forum]

Channel closed

Closed by @eternal sapphire

Use .reopen if this was a mistake.

[full forum]

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.

[open matrix]

I don't even know how to start to prove this

[full forum]

@open matrix Has your question been resolved?

[gritty rose]

You can just multiply CD and DC and they're both the identity matrix

[open matrix]

Hdym? Sorry 😅

You mean like just multiplying the eq for C and the eq for D?

Haven't tried that but it's a proof question tho

[full forum]

@open matrix Has your question been resolved?

[full forum]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[spark field]

If I have (1/2)/(sqrt(3)/2)) how could I convert that into a singular fraction? If possible, could someone use the bot's cool image thing to show me how?

[willow sedge]

$\frac{\left(\frac{1}{2}\right)}{\left(\frac{\sqrt{3}}{2}\right)}$?

[glossy valve]

B-eard

[spark field]

Yes, but how could I turn that into one fraction?

[fathom saddle]

Flip the bottom fraction
Multiply instead of divide

[neon basin]

Think of it as $\frac{1}{2} : \frac{\sqrt{3}}{2}$

[glossy valve]

USS-Enterprise

[neon basin]

"keep, change, flip". Keep the first fraction, change division to multiplication and flip the second fraction

$\frac{1}{2} \cdot \frac{2}{\sqrt{3}}$

[glossy valve]

USS-Enterprise

[neon basin]

$\frac{1 \cdot 2}{2 \cdot \sqrt{3}}$

[glossy valve]

USS-Enterprise

[neon basin]

Or just, middle ones go to the denominator and the outer ones go to the numerator

[spark field]

I got 2/2sqrt(3)

[neon basin]

That's correct

2 can cancel out

So you're left with $\frac{1}{\sqrt{3}}$

[glossy valve]

USS-Enterprise

[spark field]

Ohhh

I see, thank you so much!

[neon basin]

Should also rationalize

So you don't have roots in the denominator

[spark field]

Thank you!

.close

[full forum]

Channel closed

Closed by @spark field

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.

[torn jolt]

The exercise is : Find the volume common to two spheres, each with radius r, if the center of each sphere lies on the surface of the other sphere

[torn jolt]

I found the formula for half of the width of the object as a function of y :

it is the purple formula

If I rotate the purple curve from y=sqrt(3)r/2 to y=-sqrt(3)r/2 around the y-axis I shall get the desired object

So I integrate with respect to y the purple formula squared times pi (the disc method)

But I get that

which is different from the answer

What is wrong with my reasoning ?

[full forum]

@torn jolt Has your question been resolved?

[full forum]

@torn jolt Has your question been resolved?

[torn jolt]

By rotating around the x axis I find the right answer

.close

[full forum]

Channel closed

Closed by @modest current

Use .reopen if this was a mistake.

[full forum]

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.

[serene sage]

I get that there would be 64 in total

But I don't get the part where it says touching the box

[spiral vigil]

like if the sides of the box were covered in red paint

how many of the cubes would have red on them when you take them out

[serene sage]

How would I find that out 😭

[desert steppe]

You need to take into account the boxes which touches the bottom as well

[spiral vigil]

maybe draw a quick sketch

[desert steppe]

Yeah that'll help

[spiral vigil]

like this but with more lines

[serene sage]

So would the base have 16 cubes touching it?

[spiral vigil]

yep

[serene sage]

So I have the base 16 cubes
And then every other layer 12 cubes would touch the sidess

And there should be 3 more layers?

16+12+12+12=52

Is that right?

[spiral vigil]

yeah good breakdown

[serene sage]

Ookay is there a more efficient way to do this porblem tho?

[spiral vigil]

i'd say not really

i mean you can start with 64 and identify 12 of them that aren't touching the sides

[serene sage]

Gotchaa thank uuu

.close

[full forum]

Channel closed

Closed by @serene sage

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.

[pulsar kiln]

really dumb question honestly but idk if theres some right answer i cant see

"theres a group of 100, consiting of teachers and at least 1 student. you pick 2 people from the group and can by certainty know that 1 of the people is a teacher. how many teachers is it in the group?"

must be 99 teachers and 1 student or what

[pulsar kiln]

like gut feeling says 51 teachers but that doesnt make it completely certain

if it was a group of 3 then 2 teachers and 1 student 🤨

[tough arch]

Hello

[winter skiff]

If you pick 2 of 100 it's 100% that you oicked from both types its 99-1

[pulsar kiln]

so 99-1 is the only correct answer

.close

[full forum]

Channel closed

Closed by @pulsar kiln

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.

[heavy latch]

How do I evaluate the limit: Lim as x-> infinity of [(x^1000 )/ (1.01^x). I know that as i continue to derive x^1000 it will become smaller and therefore the denominator will dominate. However, how do i prove this?

[heavy latch]

my work:

[merry thicket]

Because only powers matter. x>1000

[heavy latch]

would there be a way to show this

[merry thicket]

Intuitively you could see this problem as a "bottom heavy" or "top heavy" but as we know since the exponent decides the outcome. This becomes "bottom heavy" since infinity to the power of 1000 is finite relative to 1.01 to the power of infinity. As far as proofs go idk

[heavy latch]

gotcha

.close

ty

[full forum]

Channel closed

Closed by @heavy latch

Use .reopen if this was a mistake.

[full forum]

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.

[polar plank]

How is this not right?