#help-10

1 messages ¡ Page 238 of 1

hidden compass
#

Big means nothing in maths actually

novel pewter
#

Yea true

hidden compass
#

You should revise the theoretical concepts about functions, otherwise you will find dificult to solve these basic exercises

#

Anyway, the domain is the set of possible x values that you can give in input to the function

hidden compass
# novel pewter I see

Ok, so based on that definition of domain, what would you answer for the domain of your function?

novel pewter
#

Well you said set of possible x values correct?

#

would that make it infinite

hidden compass
#

Yeah, so which of those 4 is the correct answer?

novel pewter
#

the first one?

hidden compass
#

$$\left(-\infty, +\infty\right)$$

warm shaleBOT
#

Alberto Z.

hidden compass
novel pewter
#

yea that one

hidden compass
#

Now, the range is the same but in the vertical direction (in other words for the y values)

novel pewter
#

and for the range wouldnt it also be infinite because it goes endlessly?

hidden compass
#

In other words, if you draw the horizontal line y = 3, does this intersect the red graph anywhere?

novel pewter
#

yes

hidden compass
novel pewter
#

at x = 3 if it were to be horizontal

#

right?

hidden compass
#

Noo, the y axis is the vertical axis, whereas the x axis is the horizontal axis

novel pewter
#

yes

hidden compass
novel pewter
#

I meant like

#

like wouldnt it be at the middle of the graph

hidden compass
#

I mean, draw a point on the plane that has 3 as its y-coord @novel pewter

novel pewter
#

oh

hidden compass
novel pewter
#

btw I have to go in 15 min

novel pewter
hidden compass
novel pewter
#

wdym

hidden compass
novel pewter
#

yes

hidden compass
#

So what's the problem in my question?

novel pewter
#

sorry

#

the x coordinate would b 0

#

be

hidden compass
#

Ahn ok alright

#

Now, draw the point (4 , 3) onto the previous graph (don't delete the point you did before)

novel pewter
hidden compass
# novel pewter

Ok, now draw again on THIS graph the point you had before, (0 , 3)

novel pewter
#

what was the point before that

hidden compass
#

(0, 3)

novel pewter
#

oh

hidden compass
# novel pewter

Perfect, now connect these two points (with a horizontal line)

novel pewter
hidden compass
#

Line, not segment

#

Lines go infinitely long, whereas segments connect two points

novel pewter
#

like this

#

?

hidden compass
#

Yes

#

So, what is the property of all points belonging to that red line? They all share something in common, which is...

novel pewter
#

I actually dont know.

hidden compass
novel pewter
#

y = 3?

hidden compass
#

Of course!!

#

So that's the line y = 3 @novel pewter

novel pewter
#

right

#

I have to go man

hidden compass
#

Alright

#

The answer for the range anyway was D, i.e. (-inf, 2] @novel pewter

#

Because horizontal lines abovbe y = 2 never intersect your function

hidden compass
obtuse pebbleBOT
#

@novel pewter Has your question been resolved?

obtuse pebbleBOT
#
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.

keen moat
#

how do i solve for b

obtuse pebbleBOT
quaint glen
#

can you make the picture more blurry somehow please

#

i can almost read it

keen moat
#

bud

#

a+b/c=5

#

$$a+b/c=5$$

warm shaleBOT
#

wildercat

keen moat
#

how do i solve for b

#

i multiplied c on both sides

brisk hamlet
#

$\frac{a + b}{c} = 5$

warm shaleBOT
#

Jangler

keen moat
#

then do i just subtract a

#

to get b=5/c-a

brisk hamlet
#

So you are done

keen moat
#

is that correct

#

or would it be

#

b=5c-a

#

?

jagged cargo
#

what did you get before moving the a

#

sounds like needless question, just making sure you get why to do said operation instead of just guessing just because

keen moat
#

nah i think i got it

#

a+b=5/c

#

then subtract a

jagged cargo
#

that is not correct

keen moat
#

to get b=5/c-a

#

it isn’t?

jagged cargo
#

i agree with the a operation. i dont agree with what you did with c

keen moat
#

what should i do then

#

i multiply both sides

#

so would it be 5c or 5/c

jagged cargo
#

yes thats correct. what is the right side multiplied by c

jagged cargo
#

yes

#

5c =/= 5/c

keen moat
#

so what’s the answer

jagged cargo
#

5c. make sure whatever you do to one side, you do the exact same to the other. otherwise the sides do not equal

keen moat
#

5c-a=b

#

?

#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @keen moat

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.

faint kestrel
obtuse pebbleBOT
faint kestrel
#

im stuck there

faint kestrel
wet moss
#

what can you do with the sinx/cosx?

faint kestrel
#

i was thinking maybe multiply it to 2 sin x cos x?

#

but i dont know if thats a thing

wet moss
#

do you know this rule?

faint kestrel
#

ooh i didnt

#

but thats what i thought

#

let me try

#

i can cancel out the cosines no?

#

leaving me with 2 sin x * sin x

wet moss
#

not quite

#

imagine b/c is sinx/cosx

faint kestrel
#

bc cos is multiplied by 2?

wet moss
#

so if you put it into that rule what do you have?

wet moss
faint kestrel
#

2 sin x cos x * (sin x/cosx)

wet moss
#

remember b/c = sinx/cosx

faint kestrel
#

@warm shale $2 sin x cos x * (sin x/cosx)$

warm shaleBOT
wet moss
#

you are then multiplying by c/b

faint kestrel
#

oh right

#

ohhh

#

so i divide evrything by sin x

wet moss
#

yeah

faint kestrel
#

which is 2 cos xcos x

#

and that is equal to 2*cos x2

wet moss
#

exactly

faint kestrel
#

greate

#

thanks

#

!!!

wet moss
#

np

faint kestrel
#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @faint kestrel

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.

sage dagger
#

To differentiate 2xy using product rule so 2x • y

Then f’ = [2x•dy/dx] + 2y?

wet moss
#

yes

sage dagger
#

ok and if my original function was x^2 + 2xy = 8 it would be 2x + [2x•dy/dx] + 2y = 0

wet moss
#

yeah

sage dagger
#

ok nice

#

So 2x•dy/dx = -2x - 2y

Then dy/dx = (-2x - 2y)/2x right

wet moss
#

yep

sage dagger
#

Alright

#

Cool

#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @sage dagger

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.

noble kindle
obtuse pebbleBOT
noble kindle
#

should I use double or triple integral?

#

Or is both fine.

#

The projection, I imagine, is just a unit circle on the xy plane

#

So if I just integrate over how much the x and y changes, that would give me many circles depending on the x and y value... SO I guess that could work.

#

But does it work if I do triple integrals?

sullen nova
#

try and parametrise the thing you're trying to find the volume of

#

by that i mean you need to give intervals for x y and z that you wanna integrate over

noble kindle
#

Im not sure what the bounds should be

#

..

#

Oh, I already did the double integral

#

Im just trying to see if the triple integral works?

#

i got it

sullen nova
#

the double integral will give you the surface area not the volume

#

of something

noble kindle
#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @noble kindle

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.

lavish nymph
obtuse pebbleBOT
lavish nymph
#

how does 1+ make sense

#

what does it represent

shadow tangle
lavish nymph
#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @lavish nymph

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.

sweet lake
#

Help

obtuse pebbleBOT
sweet lake
tall abyss
#

so basically what add 100 and 48

sweet lake
#

148

tall abyss
#

then do 360-148 and see

#

if not 360 then 180

sweet lake
#

212 for 360

#

32 for 180

tall abyss
#

it is one of those sorry i dont know which😔

sweet lake
#

issok

#

ty tho

safe mortar
#

no, it is just 148 degrees

#

since QRS is QRG combined with GRS, its measure is the sum of the measures of QRG and GRS

#

so 100+48=148

obtuse pebbleBOT
#

@sweet lake Has your question been resolved?

obtuse pebbleBOT
#
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.

honest crystal
#

is this right?

obtuse pebbleBOT
obtuse pebbleBOT
#

@honest crystal Has your question been resolved?

daring rock
#

I'd probably add the function f(x) itself too

#

or like, a graph of what f(x) could look like, since you don't know what it actually is

honest crystal
#

so y=0?

daring rock
#

No, the inequality says f(x) is between the two functions you drew for all x

honest crystal
#

I think I understand

#

something like this?

daring rock
#

Yeah, exactly, looks good

#

I'd maybe label the middle one f(x) too just to be safe but I'm sure that's basically what your teacher is looking for

honest crystal
#

ok thank you

#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @honest crystal

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.

wraith pike
obtuse pebbleBOT
#
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
wraith pike
#

I have been stuck midway

nocturne minnow
#

Where are you stuck at?

#

What f(-2) means?

wraith pike
#

yeah what does it want me to put

nocturne minnow
#

You use that graph

#

As an example, f(4) means the function when x = 4

#

So f(4) just means find the y value when x = 4

#

So using that graph, you go to x = 4, then find what the y value is

wraith pike
#

would it be 1?

#

the y value

nocturne minnow
#

No

#

Using what I said, f(-2) means the y value when x = -2

#

So go to x = -2 on the axis, move until you reach the graph, then find what that y value is

wraith pike
#

mmmm

#

idkk

nocturne minnow
#

go to x = -2 on the axis, move until you reach the graph, then find what that y value is

wraith pike
#

what do you mean by reach the graph, sorry

#

the intercept?

nocturne minnow
#

The curve, that's drawn

wraith pike
#

ok once ive reached the graph what do i do

nocturne minnow
#

Like I'm saying first, start at the origin, move your cursor to x = -2, on the x axis, then move the cursor until you reach the curve, then move the cursor to the y axis, what's that value?

wraith pike
nocturne minnow
#

You move along the lines

wraith pike
#

started from orgin

nocturne minnow
#

So you reached x = -2

wraith pike
#

yes

nocturne minnow
#

Now you need to move until you reach the graph, the blue line

#

So travel vertically until you do that

wraith pike
#

so id get y= -3?

nocturne minnow
#

Yes

#

That's it

wraith pike
#

YAHH

#

THANK YOU BRODIE

#

i swear my math teacher is so bad at teaching

obtuse pebbleBOT
#

@wraith pike Has your question been resolved?

#
Channel closed

Closed by @wraith pike

Use .reopen if this was a mistake.

obtuse pebbleBOT
#
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.

limber token
#

3/4% of 200

obtuse pebbleBOT
#

Please don't occupy multiple help channels.

tardy epoch
obtuse pebbleBOT
tardy epoch
#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @tardy epoch

Use .reopen if this was a mistake.

obtuse pebbleBOT
#
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.

timid silo
obtuse pebbleBOT
timid silo
#

I'm not sure how to start proving part b?

sullen nova
#

can you write the definition of v being in Span(S)

timid silo
#

V can be represented by some linear combinations of vectors in S?

sullen nova
#

so from there could you show that there's some linear combination of vectors in S union v that sum to 0

timid silo
#

Yes?
If say, S is as defined for a, and V is represented by say 4x_1+2x_2+8x_k
Then -4x-2x_2-8x_k+v=0?

polar fossil
#

ya

timid silo
#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @worn pecan

Use .reopen if this was a mistake.

obtuse pebbleBOT
#
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.

wary seal
#

How to do the (b) part?

obtuse pebbleBOT
#

Please don't occupy multiple help channels.

wary seal
#

<@&286206848099549185>

obtuse pebbleBOT
#

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.

#

@wary seal Has your question been resolved?

obtuse pebbleBOT
#
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.

wary seal
#

How do u do the (b) part?

obtuse pebbleBOT
wary seal
#

<@&286206848099549185>

#

<@&286206848099549185>

timid silo
#

!status

obtuse pebbleBOT
#
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
wary seal
#

6

#

Idk how to find it

royal basin
#

anyway, consider that E, D and B are collinear means BE is a scalar multiple of BD

wary seal
wary seal
royal basin
#

you may write this as BE = ÎźBD, where mu is another unknown scalar

then express the equality BO + ÎťOA = ÎźBD entirely in terms of the vectors a and b

wary seal
#

Yeah

#

Next

#

?

obtuse pebbleBOT
#

@wary seal Has your question been resolved?

#
Channel closed

Closed by @wary seal

Use .reopen if this was a mistake.

wary seal
#

.close

obtuse pebbleBOT
#
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.

stark bay
obtuse pebbleBOT
stark bay
#

cant find my mistake, the final value when differentiated isn't giving the same integral. can someone pls help

#

<@&286206848099549185>

obtuse pebbleBOT
#

@stark bay Has your question been resolved?

stark bay
#

<@&286206848099549185>

obtuse pebbleBOT
#

@stark bay Has your question been resolved?

undone quartz
obtuse pebbleBOT
#
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.

bright pagoda
#

quick question, if i had like (a+b)/x=c, how could i make x the subject, is it possible?

hollow dove
#

you can multiply both sides by x, as long as x isn't zero

#

then do some rearrangement from there

bright pagoda
#

is that the only way?

hollow dove
#

hmm, yeah basically

bright pagoda
#

ok thanks

hollow dove
#

any other way will basically be this in disguise

high lily
#

you could take a detour, end reuslts going to be the same

hollow dove
#

I guess you could take reciprocals of both sides

#

but it's the same thing

kind hawk
#

you could start by adding 2 on both sides, then multiplying by 17, cube both sides, rearrange further, at some point undo the three things I listed and get the same result anyway

bright pagoda
#

this is what ive got

#

i want to make x the subject

hollow dove
#

start by multiplying by x

#

so you get $ba^2-b^2a=x(-ba-b^2-ca-cb)$

warm shaleBOT
#

Desync

hollow dove
#

then you have (stuff) = x * (other stuff)

#

so you can just divide through

bright pagoda
#

oh ok

#

gotcha

#

thanks

hollow dove
#

(again, assuming (other stuff) is non-zero)

bright pagoda
#

yeah

#

bye

#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @bright pagoda

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

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

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

rough stratus
obtuse pebbleBOT
versed stratus
#

!status

obtuse pebbleBOT
#
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
rough stratus
#

1

#

Like, I tried doing something, but they result nowhere

versed stratus
#

Add both equations, and then use the trig addition/subtraction formulae

rough stratus
#

3sinp+4sinq?

versed stratus
#

add both equations first

rough stratus
#

I did

versed stratus
#

you'll get sinpsinq+cospcosq=1

#

do you recognize that formula

rough stratus
#

How does adding result in that

rough stratus
versed stratus
#

yup

#

so cos(p-q)=0

rough stratus
versed stratus
#

wdym

#

you have two eqns , don't you?

#

add them

rough stratus
#

So, this is wrong?

#

,rccw

warm shaleBOT
versed stratus
#

it's right, but i don't think it helps you solve the problem in any way

#

oh, oops, I was multiplying them.

#

sorry

versed stratus
rough stratus
#

Now what

#

@versed stratus

versed stratus
#

I'd probably sub sinp=x , cosq=y. But I'm sure there's a more elegant method

rough stratus
#

<@&286206848099549185>

obtuse pebbleBOT
#

@rough stratus Has your question been resolved?

rough stratus
#

<@&286206848099549185>

obtuse pebbleBOT
#

@rough stratus Has your question been resolved?

dawn iris
#

Little me found a way.

formal breach
#

i think u should drop it

obtuse pebbleBOT
#
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.

frosty valve
obtuse pebbleBOT
royal basin
#

!status

obtuse pebbleBOT
#
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
frosty valve
#

the ans from my textbook is 1.38m

#

but i keep getting more than that lol-

#

@royal basin

royal basin
#

are you sure you definitely meant 1.38 m (just meters) and not 1.38 m**^3** when quoting the book's answer?

#

your work is very sparse, but it looks like you've confused yourself as to the meaning of the letter x.

#

in the equation as you wrote it, x is the volume of the statue in cubic centimeters,

#

so once you get the value of x, you need to also convert it to the right units.

royal basin
#

can you show your work for the unit conversion?

frosty valve
#

pretty much got the same thing again

royal basin
#

your work is once again sparse,

#

but your mistake is thinking that 1 m^3 is 100 cm^3.

#

it is not.

frosty valve
royal basin
#

it's not.

frosty valve
#

lemme try again

frosty valve
royal basin
#

sure if you wanna phrase it that way

frosty valve
royal basin
#

1 m^3 = 1,000,000 cm^3

#

therefore 1,385,400 cm^3 = 1.3854 m^3

frosty valve
#

ah alr

#

thx

obtuse pebbleBOT
#

@frosty valve Has your question been resolved?

#
Channel closed

Closed by @frosty valve

Use .reopen if this was a mistake.

obtuse pebbleBOT
#
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.

ashen saddle
#

I'm confused about solving some differential equations. I understand how to deal with cases where you get an absolute value of y. However, when you end up with absolute values of x, I get confused about how people are getting rid of the absolute value.

ashen saddle
#

So, for example, take the differential equation dy/dx+y*(1/x)=1.

#

I'm getting an absolute value in my answer. However, other people don't. The reason why is that when finding the integration factor, they change e^(ln(abs(x)) to just x, whereas I change that to abs(x).

#

I don't see how you can just get rid of the absolute value like that.

compact shadow
#

You need to treat it as two different ODE

#

One with domain (0, infty)

#

Another one with domain (-infty, 0)

#

Though they have the same equation, but these need to be viewed as two different ODEs

#

Each of them you can take absolute value symbol off

ruby path
#

I mean

compact shadow
#

x and -x respectively

ruby path
#

What OP did was fine tbh

ashen saddle
ruby path
#

Yes

ruby path
#

People tend to ignore absolute values for simplicity

ashen saddle
#

Doesn't that not give you all solutions?

compact shadow
#

Because R-{0} is not connected

ruby path
#

yeah you do lose solutions I suppose

ashen saddle
ruby path
#

I mean when was the last time you did $\int \frac{\dd x}{|x|\sqrt{x^2 - 1}} = \arcsec x$

warm shaleBOT
ruby path
#

,w solve y' + y/x = 1

compact shadow
#

For (0, infty) you have solutions , each two of them are different by a constant.
For (-infty, 0) you have some solutions each two of them different by a constant of course. Take any solution f for (0, infty) and any solution g for (-infty,0) is a solution on R-{0}

#

But two pairs (f,g), (f’,g’) no longer have to be different by one constant

ruby path
#

It's one function just not defined at 0

compact shadow
#

You can have f’=f+a, g’=g+b

#

That’s why I treat it separately, on each of the connected components

#

I guess you will do the same when you encounter something like tan(x). This time 1/x has only two components, of its domain

ashen saddle
compact shadow
#

Yeah

ashen saddle
#

Is what wolfram alpha did wrong then?

#

I was wondering if wolfram alpha assumed x>0

#

Based on its graphs.

compact shadow
#

(0,infty) probably.
more than 1 connected components, two different solutions are no longer different by a constant necessarily

ashen saddle
#

Yeah that's what I thought. That's why I've been so confused because I thought that just adding a constant isn't going to be able to replace the absolute value.

#

But that's what everyone seems to think.

compact shadow
#

I guess sometimes people aren’t cautious enough

ashen saddle
#

Hmm

#

I think they need to fix wolfram alpha.

#

It should state that it is assuming x>0

#

I might report that

#

Hold on

#

It's not assuming x>0

compact shadow
#

Because on (-infty,0) the solution happens to be

#

Of the same form

#

The only issue is, you can have two different constants for each branch

ashen saddle
#

For each branch of the absolute value?

compact shadow
#

Each branch of domain of 1/x

#

Like f(x)=x/2+5293/x for x>0, =x/2-19374/x for x<0 works

ashen saddle
#

Wait what, I'm confused. But nothing is equal to anything with that equation.

#

The domains of both of those functions are completely seperate.

#

So I guess that is true, but what is your point?

compact shadow
#

My point is

#

There are two components, one constant is not enough

ashen saddle
#

Aaah

#

I see

compact shadow
#

f(x)=x/2+c/x for x>0, =x/2+d/x for x<0, is sufficient

ashen saddle
#

So wolfram alpha is hiding its constants from us.

#

Rather deceptive...

compact shadow
#

It either omitted one component, or chose two constants being equal

ashen saddle
#

I see...

#

So if you were actually doing an initial value problem and using some numerical differential equation solver or something, you would need to negate your constant as you move over the y axis?

compact shadow
#

A given value on a component , can make me fix one solution on that component

#

If you tell me y(1)=8, sure I now have a fixed y(x) for x>0. I can’t determine y(x) for x<0, unless you give me something like y(-6)=71 too, or simply tell me the domain now is only (0, infty)

#

You have m components, you will need m values to determine the solution , one value for each component

ashen saddle
#

But can't you just negate the constant?

#

As you cross over the y axis?

compact shadow
#

Idk, I just can’t determine y(x) for x<0 if (-infty,0) is part of domain and you don’t provide me a value of y(x): x<0.

#

Any solution on (-infty, 0) works

#

y(x)=x/2+1/x: x doesn’t equal 0, and z(x)=x/2+1/x: x>0, =x/2+5/x: x<0. There is no one of them being more special than the other one thing

ashen saddle
#

I could find C given some y(x) for x>0, and then have a solution for x<0.

#

I understand your components idea, but can't I just use my equation with the absolute value?

compact shadow
#

Then you only gave solutions whose constants are of the form (C,C)

#

But solutions whose constants are (C,D) are also solutions

ashen saddle
compact shadow
#

It is because , again, the domain has two connected components

ashen saddle
#

What is a component?

compact shadow
#

If it’s not 1/x, but 1/x(x-1) then three connected components

#

For now you can view it as how many parts the domain is divided into

ashen saddle
compact shadow
#

You can say that

ashen saddle
#

K

#

So

compact shadow
#

Because the domain is divided into three parts

#

(An exact definition is , for a topological space X, a subset A is said to be connected, if A is both open and closed. A connected component of X , is a maximum (in terms of inclusion) connected subset of X. Then X is disjoint union of connected components of it)

ashen saddle
#

I'm a computer programmer, so I often thing about differential equations in the light of numerical approximations. If I was performing an approximation, then I could pass that undefined line fine just because I'm using finite steps.

compact shadow
#

I see. I have no idea. I only know math

ashen saddle
#

Do you know about numerical approximation of differential equation solutions?

compact shadow
#

No

ashen saddle
#

Ooh ok

compact shadow
#

I don’t know approximation of any kind. I am only interested in pure math

ashen saddle
#

Interesting

#

Do you think approximation is not a part of math?

#

pure math I mean

compact shadow
#

Maybe it is, just looks very tedious to me personally

#

By comparison. I am usually interested in category theory kind of things, or algebraic geometry

ashen saddle
#

I would say that the fact that sin(x) approx= x for small x is a great mathematical fact.

#

I see

compact shadow
#

That’s math

#

lim sin(x)/x=1

#

But if someone asks me to approx sin (37 degrees) , things like that

#

No looks like just calculation

ashen saddle
#

So you care more about general cases?

compact shadow
#

Yeah

#

I answer analysis problems, but I don’t study them unless I need to. Like if I read Lie algebra , topological group , then analysis is not avoidable , you know, Haar measure , things like that , I guess I will read it.

#

I never answer PDE, or Statistic, in these channels

#

Ode I am okay with, PDE no, complicated

ashen saddle
#

Yeah, I respect that

#

I definitely see the importance of computation and approximation though.

compact shadow
#

Yeah. Of course they are important.

#

Just problem of my personal taste.

ashen saddle
#

Discrete fourier transform > continuous, because it's more useful.

compact shadow
#

More general a result is, I like it more

ashen saddle
#

Yep, makes sense.

#

Well, thank you so much for your help. I understand this way better now.

compact shadow
#

Np

ashen saddle
#

I still think wolfram alpha should be more explicit about what it is doing with the constants and components.

compact shadow
#

Yeah, you are very responsible

#

I like that. They should have been more rigorous

ashen saddle
#

Have a nice day!

#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @ashen saddle

Use .reopen if this was a mistake.

compact shadow
#

You too☺️

obtuse pebbleBOT
#
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.

knotty crow
#

what have you tried

#

do you know how does rationalizing the denom work?

timid silo
#

Nope

#

I gotta do something with the 14

#

Idk tho

#

7x2 but neither can be rooted

mellow wraith
#

you know that (a+b)(a-b)= a^2-b^2

timid silo
#

No

knotty crow
#

it's not about taking a square root of 14 in some way

cloud igloo
#

Full question?

#

Rationalize the denominator

pulsar quarry
#

do you even know what rationalizing means?

nocturne minnow
timid silo
#

Wtf

pulsar quarry
#

did'nt your teacher taught you this?

timid silo
#

Nope

cloud igloo
#

Or you didn’t pay attention in class?

pulsar quarry
pulsar quarry
nocturne minnow
#

What does "More instruction" do?

timid silo
#

I’m in college now. It’s been since 9th grade since I took algebra

cloud igloo
#

😭

timid silo
#

I took algebra one in 8th and 9th was 2

timid silo
nocturne minnow
cloud igloo
#

If it ain’t Organic Chemistry Tutor it ain’t right 💯

nocturne minnow
cloud igloo
#

Fair enough

#

@timid silo do you understand now?

timid silo
#

I got 6 + 10 to square root of 14

obtuse pebbleBOT
#

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

cloud igloo
#

Ehr

timid silo
#

Right

#

?

mellow wraith
#

nah

cloud igloo
#

It’s not correct

timid silo
#

bruh

mellow wraith
#

u got the signs wrong

warm shaleBOT
#

𝕏

timid silo
#

How’d you do that

nocturne minnow
#

Your simplifying on the last line is wrong

cloud igloo
nocturne minnow
#

$\frac{a+b}{a} \neq b$

warm shaleBOT
#

dldh06

nocturne minnow
#

Meaning you can't do only -30/-5 = 6

timid silo
#

Oh I gotta do 14/6

#

-5*

#

Square root

nocturne minnow
#

You can't just divide one of the terms by 5

nocturne minnow
#

The 10

cloud igloo
#

You can apple difference of two scares btw

#

Squares *

#

For denominator

nocturne minnow
cloud igloo
#

Oh damn I didn’t even look at the pic right

nocturne minnow
#

It was the simplifying of $\frac{-30 +10\sqrt{14}}{-5}$ was wrong

warm shaleBOT
#

dldh06

cloud igloo
#

Factor out 10

#

So you have multiplication

nocturne minnow
#

Factor 5 is better

cloud igloo
#

And proceed

nocturne minnow
#

From the numerator

cloud igloo
nocturne minnow
#

Well -5 from the numerator

timid silo
#

Wtf

nocturne minnow
#

$ab + ac = a(b + c)$

warm shaleBOT
#

dldh06

timid silo
nocturne minnow
cloud igloo
#

Bloodclat confuse wid di maths😭

nocturne minnow
#

You can factor out a -5 from the numerator first

timid silo
#

Ok

nocturne minnow
#

Do you see how the -5's cancel out?

cloud igloo
#

$$
\frac{-5(6-2 \sqrt{14})}{-5}
$$

warm shaleBOT
#

𝕏

timid silo
#

Yes

cloud igloo
#

Damn my WiFi slow 😣

timid silo
#

So my answer is 6-2 square root of 14

nocturne minnow
#

Yes

timid silo
#

😭

#

I’m dropping out dawg

cloud igloo
#

Good luck bredrin

timid silo
#

I’m jk I ain’t dropping out but bruh

#

.del

slim cove
#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @slim 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.

pulsar quarry
obtuse pebbleBOT
pulsar quarry
#

how do i convert this in the form of degree and minutes

#

actual ques

#

my work

slim cove
#

I guess I should say first, it's not equal to 11/25 degrees

#

It's equal to 11/25 radians

#

How do you convert from radians to degrees?

pulsar quarry
#

we multiply by

#

180/pi

#

but wait

pulsar quarry
slim cove
#

That's the definition of radian

#

So since the ratio between the arc and the radius is 11/25

#

The angle is 11/25 radians

#

Does that make sense?

pulsar quarry
#

yes

#

yes it does

#

okay, didnt know that

slim cove
#

Okay awesome

pulsar quarry
#

now i can do that

#

ty mam

slim cove
#

So in degrees it's 11/25 * 180/pi

#

And then you need a calculator to figure out what this is

pulsar quarry
#

well, calculators are restricted

#

i can figure it out now

#

ty

#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @pulsar quarry

Use .reopen if this was a mistake.

pulsar quarry
#

.reopen

obtuse pebbleBOT
#

✅

pulsar quarry
#

sorry

#

i still cant do it

royal basin
#

what's troubling you?

#

converting 11/25 radians into degrees?

pulsar quarry
#

okay so i only

#

converted radian measure into degrees when it had the pi in it

#

and then multiply it by

#

180/pi

#

pi-pi gets cancelled

#

idk

royal basin
#

you are ascribing some kind of mysticism to the conversion between degrees and radians.

#

when in fact it is just like any other unit conversion.

#

just like 1 meter = 100 cm, you have 1 rad = (180/pi) degrees

#

the conversion factor has pi in it but that does not really make things any different

pulsar quarry
royal basin
#

no

#

11/25 is 11/25.

#

if we wanted to write 11pi/25 we would have written 11pi/25.

#

you will not have a cancellation of the kind you are used to.

pulsar quarry
#

okay so after multiplying 11/25*180/pi ?

royal basin
#

,calc 11/25 * 180/pi

warm shaleBOT
#

Result:

25.210142985756
royal basin
#

25 and a bit degrees.

#

,calc 0.210142985756 * 60

warm shaleBOT
#

Result:

12.60857914536
royal basin
#

should be 25°13' if we are rounding to the nearest arc-minute, but only 25°12' is among the options, so that is probably what they want.

pulsar quarry
#

but is there a way i can do this without using calculator?

royal basin
#

no

pulsar quarry
#

like simply putting value of pi and then solving

royal basin
#

well ok yes there kind of is

#

long division

#

but it is painful and time-consuming

pulsar quarry
#

like 11/25*180/3.14?

royal basin
#

i think using 3.14 for pi might already lead to too much inaccuracy.

#

,calc 11/25 * 180/3.14

warm shaleBOT
#

Result:

25.222929936306
royal basin
#

,calc 11/25 * 180/3.142

warm shaleBOT
#

Result:

25.206874602164
royal basin
#

,calc (11/25 * 180/3.142 - 25) * 60

warm shaleBOT
#

Result:

12.412476129854
pulsar quarry
royal basin
#

,calc (11/25 * 180/3.14 - 25) * 60

warm shaleBOT
#

Result:

13.375796178344
royal basin
#

okay so you would need at least 3 decimal digits of pi to get an accurate result ehre

royal basin
pulsar quarry
#

i mean

#

maximum of 2 mins

royal basin
#

i think you are just fucked.

pulsar quarry
#

lol

#

okay, ill use three digit of pi

#

thanks tho

#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @pulsar quarry

Use .reopen if this was a mistake.

obtuse pebbleBOT
#
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.

surreal carbon
#

Hello, I am getting two different derivs and wonder which is the correct one. Cause I need to find the extreme points.

warm shaleBOT
timid silo
#

The first one you have

#

f(x)

#

Differentiate like you normally do

#

Equate to the one below

#

Should get values of x

#

(idk how to differentiate 3x / (1+4x⁴) btw)

surreal carbon
#

alright, I'll keep doing that

timid silo
# warm shale

Only one of them should be correct as clearly one of the answer you found is 9 times the other

surreal carbon
#

yes exacly but the left is the proffessors answer

timid silo
#

Unless x = ⁴√(1/4) => very unlikely

surreal carbon
#

but It didn't make sense even when she showed it

timid silo
surreal carbon
#

the right one I mean

#

the left answer is mine

#

aight

obtuse pebbleBOT
#

@surreal carbon Has your question been resolved?

#
Channel closed

Closed by @surreal carbon

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.

dry rain
#

Hi, I need help please. I have to graph a cubic function with the following characteristics. I'm not sure as to how to draw it.

f(-2) = 0
f(0)=8
f’(0) = 0
f’’(x) > 0 when x > 0, and vice versa

forest sinew
timid silo
#

!status

obtuse pebbleBOT
#
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
tired skiff
forest sinew
timid silo
#

@dry rain

tired skiff
#

he's playing fortnite rn

timid silo
#

Bro got carried away

#

Shit I was doing math too

#

Forgot

#

Bye

timid silo
tardy epoch
#

can you stop

#

ask questions in your own channel

timid silo
#

Bro I'm ANSWERING THAT QUESTION WDYM

tardy epoch
#

.

timid silo
#

Happy?

#

Cuz I can be wrong sometimes and I don't want people all over me 😭

tardy epoch
#

be wrong in your own channel then

#

you're just spamming joel's channel

timid silo
tardy epoch
#

you definitely are

timid silo
#

I did answer the question tho 👍

obtuse pebbleBOT
#

@dry rain Has your question been resolved?

warm canopy
#

you should wait for them so they can work through the problem with guidance rather than listing half accurate information at them

dry rain
#

well, i know that the x intercept is -2, and that the y is 8

#

but i’m not sure how to draw the graph based on the other characteristics

#

this is what i drew and i’m not sure if it’s right

#

like, because of f’(0) =0, shouldn’t the y intercept also be a turning point?
but then i don’t have another x intercept

obtuse pebbleBOT
#
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.

nocturne minnow
#

@zenith raft @tardy epoch Help me with math lmao

nocturne minnow
#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @nocturne minnow

Use .reopen if this was a mistake.

tardy epoch
nocturne minnow
obtuse pebbleBOT
#
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.

nocturne minnow
#

@tardy epoch @zenith raft @polar fossil How to find det of
$\begin{bmatrix}
1 & 1 & 2 & 4 & 4 & 0 & 3 & 0 & 8 & 3 \
7 & 1 & 8 & 9 & 7 & 3 & 2 & 3 & 4 & 4 \
4 & 2 & 9 & 5 & 7 & 4 & 8 & 9 & 2 & 3 \
1 & 3 & 6 & 6 & 7 & 7 & 1 & 9 & 3 & 1 \
4 & 4 & 1 & 8 & 7 & 2 & 0 & 3 & 2 & 8 \
5 & 8 & 8 & 7 & 9 & 9 & 5 & 5 & 1 & 6 \
8 & 5 & 7 & 0 & 0 & 9 & 8 & 7 & 2 & 1 \
2 & 8 & 0 & 9 & 2 & 8 & 3 & 6 & 1 & 3 \
9 & 5 & 4 & 5 & 9 & 0 & 1 & 1 & 8 & 7 \
2 & 5 & 5 & 2 & 1 & 9 & 2 & 5 & 5 & 6
\end{bmatrix}$? Lmao

nocturne minnow
#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @nocturne minnow

Use .reopen if this was a mistake.

polar fossil
#

ti-89

zenith raft
#

☠️

warm shaleBOT
#

dldh06

drifting badger
#

!show

obtuse pebbleBOT
#

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

nocturne minnow
polar fossil
#

it's randomly generated, it's probably 0

#

right?

floral garnet
floral garnet
tardy epoch
floral garnet
nocturne minnow
#

I mean meth

tardy epoch
#

there was balance in the force

drifting badger
#

Just multiply every row by 0 and the solution is trivial

tardy epoch
#

then you interrupted it with your bad Midichlorians

drifting badger
#

Mitochondria

nocturne minnow
#

I don't care about it

obtuse pebbleBOT
nocturne minnow
obtuse pebbleBOT
# tardy epoch !15m
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
tardy epoch
#

jezus google come on

nocturne minnow
nocturne minnow
#

I wanted this one
2 & 3 & 5 & 3 & 8 & 2 & 1 & 4 & 4 & 9 & 0 & 3 & 3 & 4 & 8 & 6 & 3 & 9 & 1 & 3\
9 & 2 & 4 & 8 & 0 & 7 & 0 & 7 & 1 & 3 & 0 & 8 & 0 & 1 & 1 & 2 & 4 & 5 & 7 & 2\
3 & 6 & 4 & 4 & 6 & 8 & 1 & 6 & 9 & 4 & 3 & 1 & 5 & 8 & 3 & 3 & 0 & 6 & 1 & 5\
2 & 8 & 2 & 1 & 4 & 0 & 6 & 3 & 4 & 0 & 4 & 5 & 9 & 1 & 9 & 1 & 0 & 0 & 4 & 1\
2 & 3 & 1 & 2 & 7 & 0 & 2 & 6 & 4 & 6 & 0 & 9 & 5 & 2 & 2 & 8 & 2 & 9 & 7 & 7\
0 & 7 & 8 & 2 & 7 & 6 & 2 & 1 & 6 & 7 & 8 & 1 & 4 & 9 & 0 & 2 & 2 & 3 & 6 & 3\
2 & 1 & 2 & 5 & 9 & 2 & 2 & 3 & 1 & 8 & 2 & 1 & 3 & 7 & 1 & 6 & 8 & 4 & 8 & 2\
3 & 2 & 2 & 7 & 0 & 1 & 5 & 3 & 5 & 3 & 0 & 0 & 9 & 7 & 7 & 0 & 1 & 5 & 0 & 5\
4 & 7 & 6 & 4 & 3 & 0 & 0 & 7 & 6 & 3 & 3 & 9 & 7 & 9 & 9 & 2 & 7 & 7 & 2 & 6\
7 & 7 & 0 & 5 & 5 & 2 & 0 & 4 & 1 & 6 & 7 & 2 & 3 & 1 & 9 & 3 & 0 & 4 & 2 & 5\
2 & 6 & 9 & 9 & 4 & 3 & 7 & 8 & 5 & 6 & 1 & 8 & 2 & 1 & 9 & 1 & 2 & 6 & 1 & 6\
5 & 0 & 3 & 9 & 7 & 0 & 2 & 6 & 3 & 4 & 8 & 2 & 7 & 6 & 8 & 1 & 6 & 4 & 2 & 6\
3 & 8 & 1 & 1 & 4 & 7 & 1 & 0 & 7 & 0 & 7 & 9 & 8 & 7 & 8 & 9 & 6 & 6 & 5 & 2\
1 & 2 & 0 & 2 & 7 & 5 & 5 & 8 & 5 & 0 & 0 & 4 & 7 & 7 & 5 & 4 & 1 & 7 & 5 & 3\
7 & 9 & 9 & 3 & 8 & 1 & 5 & 6 & 8 & 4 & 6 & 6 & 5 & 0 & 4 & 8 & 0 & 3 & 4 & 6\
4 & 2 & 8 & 0 & 5 & 5 & 6 & 5 & 1 & 8 & 9 & 4 & 7 & 7 & 2 & 1 & 2 & 2 & 3 & 9\
2 & 8 & 8 & 0 & 5 & 4 & 1 & 5 & 6 & 2 & 1 & 9 & 5 & 1 & 0 & 3 & 6 & 5 & 9 & 2\
2 & 0 & 5 & 9 & 1 & 1 & 1 & 6 & 5 & 5 & 3 & 6 & 2 & 5 & 2 & 8 & 9 & 8 & 8 & 8\
7 & 8 & 2 & 1 & 3 & 2 & 0 & 4 & 2 & 7 & 8 & 4 & 4 & 1 & 6 & 9 & 2 & 2 & 7 & 4\
6 & 5 & 0 & 3 & 5 & 8 & 5 & 5 & 9 & 5 & 7 & 8 & 8 & 8 & 0 & 0 & 7 & 6 & 9 & 5\
But I couldn't format it

drifting badger
nocturne minnow
tardy epoch
#

i will double murder you

nocturne minnow
#

Is it W?

obtuse pebbleBOT
#
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.

reef nymph
#

how does the area of a polygonal face be generalized to $\frac{nl^2}{4tan(frac{180}{n}}$

warm shaleBOT
#

AℤØ

#

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

tardy epoch
#

what's n and l here

reef nymph
#

n is the number of sides and l is the side length

brittle topaz
#

is this a regular polygon

reef nymph
#

yes

brittle topaz
#

think of it as splitting the polygon into n different triangles

#

with the vertices being, the center of the polygon and 2 adjecent vertices of the polygon

#

like this for a regular hexagon

#

or this for a heptagon

#

you can calculate the area of 1 triangle and multiply by n

reef nymph
#

so the area of one triangle will be 0.5 s^2 sinX given that angle x is the one where one of the vertices is in the center of the triangle and s is the side(s) adj to angle x

#

but the formula uses l which is the side opp angle x

brittle topaz
#

so s is the length from the center of the polygon to one of the vertices?

reef nymph
#

yes

brittle topaz
#

l/2=s*sin(x/2)

#

so s=l/(2sin(x/2))

#

you can sub that into you equation

reef nymph
#

I found that the base angles of the triangle will be (n-2)*180/n

brittle topaz
#

you have to divide by 2 because thats the angle formed at each vertex

#

and the base angle is half of that

#

if you sub l/2=s*sin(x/2) into your equation, we get l^2cos(x/2)/4sin(x/2)

#

simplifying gives us the formula l^2/4tan(x/2)

#

but x=360/n so we can sub that into the equation to get l^2/4tan(180/n)

#

and then multiply by n to get our equation for the area of the whole polygon

reef nymph
#

thanks vv much.... I was forgetting to half the angle.... I was getting some vv weird stuff

brittle topaz
#

no problem

reef nymph
#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @reef nymph

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

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

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

rancid quest
#

i need help

obtuse pebbleBOT
keen quarry
rancid quest
polar fossil
#

what about it?

rancid quest
#

i need help

#

and i don't understand anything-

tardy epoch
rancid quest
#

nvm...

#

allgd ill try again

#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @rancid quest

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 grail
#

I have this sprite and I want to find where the green dots are. The players origin us half the width and 9/13 of the height (going from top to bottom and left to right.) How do I find the x and y position of the green dots if the player spins around the origin. right green dot is 11 / 13 of the width and 3 / 13 for the height. left green dot is 3/13 width and height. Never done trig or geometry before because I am a sophmore what formula or whatever do I need?

pulsar grail
#

My player is on a large screen and I have the player x and y which is located at half the width and half the height

timid silo
pulsar grail
#

yea most cs guys are good at math lol

timid silo
#

What information do you have? The player's angle?

pulsar grail
#

yes

timid silo
#

In the picture you sent, is the angle 90° or 0°?

pulsar grail
#

0

timid silo
#

You could precompute the distance from the origin and angle of the 2 green dots when it is at 0°

#

Then you can calculate their current angle at any time by adding the player's angle to the precomputed angles

#

After which you can use cos of angle times magnitude and sin of angle times magnitude to get their offset from the origin

#

Then just add that to the origin's coordinates

pulsar grail
#

ok thanks a ton I'll get back to you when I program all of that 🙂

#

probably not today it's pretty late

timid silo
#

I'm honestly not sure if that's the most elegant way to do it

#

It's probably the most efficient though

pulsar grail
#

eh I have no idea how this stuff works so as long as it works thanks

timid silo
#

More seriously though try to understand it

pulsar grail
#

ok thanks

timid silo
#

@pulsar grail By the way, if you're planning on messaging me back in DMs you can .close this channel

pulsar grail
#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @pulsar grail

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.

timid silo
#

What would be the best way to write this $$\abs{\vec{v_2}}$$ term?

warm shaleBOT
#

One person

polar gulch
#

huh, you have a text channel before this

timid silo
#

Basically it would be the square root of the vertical velocity of the foot ball at t_0 and the horizontal at t_0... i should've made t_0 t_1

timid silo
polar gulch
#

you created more

timid silo
#

Yeah, because Different question

polar gulch
polar gulch
#

wait why im not active?

timid silo
#

Hmmm

polar gulch
#

you can wait the other, im lazy

timid silo
#

The plan

#

I'm confused about $$\theta_2$$ tho

warm shaleBOT
#

One person

timid silo
#

It only gives one value

#

But i need two from it

#

how do i get the 2nd one

#

the

#

highest/minimum angle to reach the distance $$R- \Delta x$$

warm shaleBOT
#

One person

obtuse pebbleBOT
#

@timid silo Has your question been resolved?

timid silo
#

:(

#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @west valve

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.

haughty lance
#

Lets say I have some function that is $g(x) = \frac{-1}{f(x)}$

warm shaleBOT
#

SubsonicSpraak

haughty lance
#

Is the global/local minimum of f(x) also a local/global min of g(x)?

grizzled shore
#

doesn't look like it

#

,w graph x^2

grizzled shore
#

,w graph -1/x^2

grizzled shore
#

doesn't even look like it's defined

#

doesn't look like it for sinx either

haughty lance
#

Hmm, yeah, fair point. but a local minima for sin(x) is a local minima for -1/sin(x) (as per your graph)?

slim cove
# haughty lance Is the global/local minimum of f(x) also a local/global min of g(x)?

First of all,
g'(x) = f'(x)/(f(x))^2, so g' has the same critical points as f' whenever f is not zero
g''(x) = [f(x)^2 f''(x) - 2 f'(x)^2 f(x)]/(f(x))^4, so at any critical point where f is not zero, g'' has the same sign as f''
From these we can basically conclude the property about local minima/maxima of f transferring to local minima/maxima of g, but global minima/maxima are not similarly well behaved, as demonstrated by Frosst

#

If we assume that f is smooth and nowhere zero though, then I think you do get that g and f share the same local/global minima/maxima

grizzled shore
#

ah there's the 2 parts, x^2 shows the f is 0 situation and sinx shows the global situation

slim cove
#

Since -1/x is a strictly increasing function if you restrict to x>0 or x<0

#

In fact you don't even need the criterion that f is smooth tbh

#

Just that it stays either above 0 or below 0 the entire time

haughty lance
#

To be honest this is to do with the breaking time for PDEs (the first time (t) a shock forms), and I'm trying to word how I'm analytically exploring that above function to reason when we get the minimum positive value of:

#

$\frac{-1}{f(x)}$

warm shaleBOT
#

SubsonicSpraak

grizzled shore
#

those are definitely words i've seen in my pdes class but i dont understand them

elfin burrow
slim cove
#

If you want help with it

#

Unless you're satisfied with what you already got

haughty lance
#

I just needed to grapple with the initial problem I posted. I have values and everything working, I just wanted to explore some properties of my initial function

#

to make my logic make sense

#

So thanks everyone!

#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @haughty lance

Use .reopen if this was a mistake.

slim cove
#

no problem!

obtuse pebbleBOT
#
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.

zealous stag
#

for question 8

obtuse pebbleBOT
zealous stag
#

,rotate

warm shaleBOT
proven zephyr
#

!status

obtuse pebbleBOT
#
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
zealous stag
#

are my equations correct?

proven zephyr
#

is this number 8?

zealous stag
#

yeah

proven zephyr
#

should be correct

zealous stag
#

aight thanksss

#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @zealous stag

Use .reopen if this was a mistake.

obtuse pebbleBOT
#
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.

oblique nebula
#

Hi. How to you solve this type of systems?

oblique nebula
#

I managed to get this:

warm shaleBOT
#

themathboi #2137

oblique nebula
#

How am I supposed to proceed?