wary thorn Apr 17, 2024, 12:03 AM

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#

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1 and 1/2 apple

steel trout Apr 17, 2024, 12:03 AM

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Its like Stanley’s parable writing

last slate Apr 17, 2024, 12:03 AM

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so 127 filled circles that are 3/10 like 127.3 circles

wary thorn Apr 17, 2024, 12:03 AM

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3 apple

wary thorn Apr 17, 2024, 12:03 AM

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last slate so 127 filled circles that are 3/10 like 127.3 circles

no, 127 circles that are entirely filled in, not just 3/10 filled in

last slate Apr 17, 2024, 12:04 AM

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wary thorn no, 127 circles that are entirely filled in, not just 3/10 filled in

ikkk i said 127.3 mini whole circles

last slate Apr 17, 2024, 12:04 AM

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wary thorn no, 127 circles that are entirely filled in, not just 3/10 filled in

right?

last slate Apr 17, 2024, 12:04 AM

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last slate ikkk i said 127.3 mini whole circles

hallo

last slate Apr 17, 2024, 12:05 AM

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wary thorn

3 whole apples , why did u draw fractions in them̄? thats confusing

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i got ghosted

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<@&286206848099549185>

hexed birch Apr 17, 2024, 12:07 AM

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he made the apples black

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id avoid

last slate Apr 17, 2024, 12:08 AM

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hexed birch he made the apples black

this true?
ikkk i said 127.3 mini whole circles

hexed birch Apr 17, 2024, 12:09 AM

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have you ever seen 0.3 whole people?

last slate Apr 17, 2024, 12:09 AM

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hexed birch have you ever seen 0.3 whole people?

but thats what it mwans tho right??

last slate Apr 17, 2024, 12:10 AM

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hexed birch have you ever seen 0.3 whole people?

no

hexed birch Apr 17, 2024, 12:10 AM

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i wouldnt say that 0.3 of a person is a whole person

last slate Apr 17, 2024, 12:10 AM

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yea

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ik

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this true?
ikkk i said 127.3 mini whole circles

hexed birch Apr 17, 2024, 12:10 AM

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tbh i dont even know whats your question about

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im guessing this

last slate Apr 17, 2024, 12:11 AM

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hexed birch tbh i dont even know whats your question about

like therr are 127.3 circles?

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tho yea i cant imagine that too

hexed birch Apr 17, 2024, 12:11 AM

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where?

last slate Apr 17, 2024, 12:11 AM

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but thats what it means tho right?

#

#

ok 127.368 circles

hexed birch Apr 17, 2024, 12:12 AM

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they mean they have 127 circles and 0.368 of a 1 cricle

last slate Apr 17, 2024, 12:12 AM

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hexed birch they mean they have 127 circles and 0.368 of a 1 cricle

see this is what i needed to know

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both of them were yappon @wary thorn

hexed birch Apr 17, 2024, 12:12 AM

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lmao

last slate Apr 17, 2024, 12:12 AM

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hexed birch lmao

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thank u

hexed birch Apr 17, 2024, 12:13 AM

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❤️

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i just randomly came here to troll, but sure if i helped

last slate Apr 17, 2024, 12:13 AM

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hexed birch i just randomly came here to troll, but sure if i helped

u helped

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u^

nova yoke Apr 17, 2024, 12:13 AM

#

Without additional context, it's challenging to determine the precise meaning of "both of them were yappon" when communicated by 🤫. However, "yappon" could potentially be a term used to describe a certain characteristic or behavior exhibited by the two individuals being referred to.

hexed birch Apr 17, 2024, 12:13 AM

#

😎

last slate Apr 17, 2024, 12:14 AM

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nova yoke Without additional context, it's challenging to determine the precise meaning of...

yapper

hexed birch Apr 17, 2024, 12:14 AM

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nova yoke Without additional context, it's challenging to determine the precise meaning of...

gosh what the hell happens on this channel

last slate Apr 17, 2024, 12:14 AM

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they mean they have 127 circles and 0.368 of a 1 cricle

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👍👍👍🫡🫡🫡

nova yoke Apr 17, 2024, 12:14 AM

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hexed birch gosh what the hell happens on this channel

this is where all wisdom ultimately resides

last slate Apr 17, 2024, 12:14 AM

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hexed birch gosh what the hell happens on this channel

❤️

hexed birch Apr 17, 2024, 12:14 AM

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better hide this channel from goverment then

last slate Apr 17, 2024, 12:15 AM

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ya fr

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.close

midnight plankBOT Apr 17, 2024, 12:15 AM

#

Channel closed

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midnight plankBOT Apr 17, 2024, 1:00 AM

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halcyon patrol Apr 17, 2024, 1:11 AM

#

midnight plankBOT Apr 17, 2024, 1:11 AM

#

halcyon patrol

halcyon patrol Apr 17, 2024, 1:12 AM

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hey, just wondering where I went wrong on this question and lost 2 points

cerulean sinew Apr 17, 2024, 1:18 AM

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halcyon patrol hey, just wondering where I went wrong on this question and lost 2 points

your graph doesn't have y=2x-4

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i don't think you got the correct answer either

#

but the question specifically wanted you to solve it graphically

#

although in solving algebraically you could have done 0 = x(x-2) and the solutions are obvious

halcyon patrol Apr 17, 2024, 1:22 AM

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cerulean sinew your graph doesn't have y=2x-4

oh shit i forgot to draw the whole other line

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💀

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what does it mean graphically, only ever did it with algebra

cerulean sinew Apr 17, 2024, 1:27 AM

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halcyon patrol what does it mean graphically, only ever did it with algebra

graph both equations and look at where they intersect

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that's how the algebraic way works too

halcyon patrol Apr 17, 2024, 1:31 AM

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redoing it now i dont understand how i even got half points lol

cerulean sinew Apr 17, 2024, 1:35 AM

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it's good you realize, your teacher is generous for giving you more than 1 hahah

cerulean sinew Apr 17, 2024, 1:35 AM

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halcyon patrol oh shit i forgot to draw the whole other line

my mistake here, i think you graphed your final eq (x-1)^2 - 1 = 0

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you're supposed to graph the two original equations

halcyon patrol Apr 17, 2024, 1:36 AM

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yeah i’m seeing that now

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thanks for the help

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i’ll send a pic of the changed answer

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is this more accurate?

#

cerulean sinew Apr 17, 2024, 1:44 AM

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the line became a little too steep at x = 1 to 2

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i think the pt of intersection should be at (2, 0)

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so instead of going from y = -2 to 1 here, it's supposed to be -2 to 0

halcyon patrol Apr 17, 2024, 1:46 AM

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yeah the line is drawn pretty bad lol

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i have a question about another problem if your intrested

cerulean sinew Apr 17, 2024, 1:46 AM

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send it

halcyon patrol Apr 17, 2024, 1:47 AM

#

#

how would I solve for k?

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i just assumed I could use the vertex as my x intercept and plugged it in to solve for k

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but i assume i needed to find something else?

cerulean sinew Apr 17, 2024, 1:48 AM

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solving x^2 - 5x + 3 - k = 0 will give you the points of intersection, right?

halcyon patrol Apr 17, 2024, 1:48 AM

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yeah

cerulean sinew Apr 17, 2024, 1:49 AM

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if you have a line and a parabola there are only three cases for intersection

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it's either they don't intersect

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or they intersect twice

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or only once

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in what case will they intersect only once

halcyon patrol Apr 17, 2024, 1:49 AM

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when the line is tangent

cerulean sinew Apr 17, 2024, 1:50 AM

#

so what you've established is that x^2 - 5x + 3 - k = 0 must have only one solution

halcyon patrol Apr 17, 2024, 1:51 AM

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ohhhhhhhhhhhhhhhhhh

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the discriminant

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thing

cerulean sinew Apr 17, 2024, 1:51 AM

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yes

halcyon patrol Apr 17, 2024, 1:51 AM

#

b^2 - 4ac

cerulean sinew Apr 17, 2024, 1:51 AM

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that must be equal to...?

halcyon patrol Apr 17, 2024, 1:51 AM

#

0

cerulean sinew Apr 17, 2024, 1:51 AM

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yeah thats it

halcyon patrol Apr 17, 2024, 1:53 AM

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i got the same answer though

#

cerulean sinew Apr 17, 2024, 1:57 AM

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ah check your algebra when you equated the two y's

halcyon patrol Apr 17, 2024, 1:57 AM

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okay

cerulean sinew Apr 17, 2024, 1:58 AM

#

wait ... there's a lapse in my judgment. i think your solution also works

cerulean sinew Apr 17, 2024, 2:01 AM

#

halcyon patrol i just assumed I could use the vertex as my x intercept and plugged it in to sol...

ok, i just realized, the logic here is correct too

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because if any other part of the parabola was the x-intercept, then there would have been 2, necessitating that the eqn have two solutions

#

the vertex being the unique x-intercept means that it is the only root for the expression

#

so if im not mistaken your solution is also right!!! you just made a mistake in the first part

halcyon patrol Apr 17, 2024, 2:06 AM

#

yeah i’m thinking the same thing, I think he wanted me to solve it with the b^2 - 4ac

#

i was on vacation and missed a lot of class time and they only did it that way and i assumed they just plugged in an x intercept

#

anyways i need to go to bed, thanks for all your help today 🙂

midnight plankBOT Apr 17, 2024, 2:24 AM

#

@halcyon patrol Has your question been resolved?

midnight plankBOT Apr 17, 2024, 2:39 AM

#

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raven gorge Apr 17, 2024, 2:41 AM

#

.

midnight plankBOT Apr 17, 2024, 2:42 AM

#

midnight plankBOT Apr 17, 2024, 2:58 AM

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@last slate Has your question been resolved?

tribal temple Apr 17, 2024, 3:02 AM

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I would think that would work out, though I say that just by looking at it catThink

#

It should give you a couple of equations to work with, which I think should be decent to get enough information from RooThink

#

Yea was about to say, just noticed that at the same time SCgoodjob2

#

Yea x can't be zero so you have to have c = 0, you're doing well, so otherwise both A and B must be diagonal

#

Yep, looks good, A is like that and you can then relate B to A as you've done, pleased with that I think happyCat

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Channel closed

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last slate Apr 17, 2024, 3:44 AM

#

how do i determine the amount of regions in a 7 set venn diagram?

midnight plankBOT Apr 17, 2024, 3:45 AM

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last slate how do i determine the amount of regions in a 7 set venn diagram?

last slate Apr 17, 2024, 3:45 AM

#

this is the thing, but as you can see, not particularly helpful to count manually

raven abyss Apr 17, 2024, 3:46 AM

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combinations permutations?

last slate Apr 17, 2024, 3:46 AM

#

yeah of course

raven abyss Apr 17, 2024, 3:46 AM

#

ok cool

#

so do you need help setting that up

last slate Apr 17, 2024, 3:47 AM

#

yeah

raven abyss Apr 17, 2024, 3:47 AM

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ok so we need all the cases for how many overlaps there are

#

do you konw what the cases are

last slate Apr 17, 2024, 3:50 AM

#

i think its a bit hard to write them all out manually, but if we represent the existence of a region in an area by a binary string of length 7 i suppose you have 2^7 possible states of whether a particular region is occupying that place thonk2

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so 100 0100 means the 3rd circle and the 7th are intersecting solely

#

wait oh

#

i guess thats it then?

#

its just 128 regions?

latent elk Apr 17, 2024, 3:53 AM

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2^n - 1

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n is the number of set

last slate Apr 17, 2024, 3:53 AM

#

i guess 0 is not a particular region to consider so we can omit that

#

makes sense

#

aight thanks

#

.cl9se

#

.close

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kind sundial Apr 17, 2024, 4:19 AM

#

on a circle race track there are 2 cars that are moving. they meet each other every 40 mins when they go the same way and they meet in 10 mins when thy move the oppisete way. what time would it take for each car to go around the whole track

midnight plankBOT Apr 17, 2024, 4:19 AM

#

kind sundial on a circle race track there are 2 cars that are moving. they meet each other ev...

#

@kind sundial Has your question been resolved?

kind sundial Apr 17, 2024, 4:38 AM

#

<@&286206848099549185>

midnight plankBOT Apr 17, 2024, 5:08 AM

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@kind sundial Has your question been resolved?

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bleak pier Apr 17, 2024, 6:22 AM

#

midnight plankBOT Apr 17, 2024, 6:22 AM

#

bleak pier

bleak pier Apr 17, 2024, 6:28 AM

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.close

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deft flint Apr 17, 2024, 7:16 AM

#

I noticed u could tan both sides as long as u remove the tan later. is this always applicable and does it work with other trig functions?

midnight plankBOT Apr 17, 2024, 7:16 AM

#

deft flint I noticed u could tan both sides as long as u remove the tan later. is this alwa...

neon rune Apr 17, 2024, 7:18 AM

#

deft flint I noticed u could tan both sides as long as u remove the tan later. is this alwa...

as stated the formula is valid with some constraint

#

here for example xy<1

#

if the case is of xy>1, then you need to add/subtract some multiples of pi

deft flint Apr 17, 2024, 7:19 AM

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ok

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so assumptions are required to tan() both sides

neon rune Apr 17, 2024, 7:20 AM

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well you can prove the restriction

#

for example arctan(tan(8)) ≠ 8

deft flint Apr 17, 2024, 7:21 AM

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neon rune for example arctan(tan(8)) ≠ 8

why not? isnt tan(arctan(x))=x

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is arctan(x) domain small?

neon rune Apr 17, 2024, 7:21 AM

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wait

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I mean arctan(tan(8))

deft flint Apr 17, 2024, 7:21 AM

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yeah the other way around doesn't work

neon rune Apr 17, 2024, 7:22 AM

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there's a whole lotta proof for 3 cases

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you can look them up on youtube

deft flint Apr 17, 2024, 7:22 AM

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im good

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i dont want to be traumatized

neon rune Apr 17, 2024, 7:23 AM

#

yep, inverse trig gets ugly at some point

deft flint Apr 17, 2024, 7:26 AM

#

from this step to the screenshot, did they just arctan both sides?
tan(arctan(a)+arctan(b))=(a+b)/(1-ab)

#

.close

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median ridge Apr 17, 2024, 8:37 AM

#

midnight plankBOT Apr 17, 2024, 8:37 AM

#

median ridge

median ridge Apr 17, 2024, 8:38 AM

#

i tried using the sine rule, finding the distance between the two particles and try to use the forces of mg and repulsion to find the force in total but none of it works

#

i cant use the force equation using q1q2/r^2 because i dont know the quantity of charge

vale zephyr Apr 17, 2024, 8:53 AM

#

suds i remember you helped me once with physics

#

have you made any fbd for this?

#

@median ridge

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well the main concept here is that theyre gonna subtend same angle from the normal

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like 7 degrees

#

well u gotta be quick i have to leave for my classes

midnight plankBOT Apr 17, 2024, 9:03 AM

#

@median ridge Has your question been resolved?

median ridge Apr 17, 2024, 9:03 AM

#

yeah i got it

#

sorry

#

its just the question is literally stupid

median ridge Apr 17, 2024, 9:04 AM

#

vale zephyr like 7 degrees

basically, it says "The force acting on each sphere" but it actually just means the repulsive force

#

i was solving for the total force like someone who can actually read

#

and the answer is also wrong because it should be x 10^-3 for the mass because they give it in grams

#

so this is a stupid question and i won

#

but its still stupid

#

.close

midnight plankBOT Apr 17, 2024, 9:05 AM

#

Channel closed

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vale zephyr Apr 17, 2024, 9:06 AM

#

median ridge so this is a stupid question and i won

yea you won nice lol

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sharp shadow Apr 17, 2024, 10:59 AM

#

how to make it

midnight plankBOT Apr 17, 2024, 10:59 AM

#

sharp shadow how to make it

rain wasp Apr 17, 2024, 11:00 AM

#

sharp shadow how to make it

does the numerator limit looks familiar to you

midnight plankBOT Apr 17, 2024, 11:14 AM

#

@sharp shadow Has your question been resolved?

sharp shadow Apr 17, 2024, 11:21 AM

#

rain wasp does the numerator limit looks familiar to you

not at all

rain wasp Apr 17, 2024, 11:22 AM

#

well, what have you tried so far?

sharp shadow Apr 17, 2024, 11:22 AM

#

i just know lim x->inf (1+1/x)^x=e

rain wasp Apr 17, 2024, 11:23 AM

#

well this is also akin to that

#

in fact they are thr exact same

sharp shadow Apr 17, 2024, 11:24 AM

#

but you cant do this question in the same

#

its wrong

#

needy help

#

<@&286206848099549185>

void magnet Apr 17, 2024, 11:28 AM

#

??

sharp shadow Apr 17, 2024, 11:29 AM

#

void magnet ??

whats wrong？

#

could u make it？plz

rain wasp Apr 17, 2024, 11:31 AM

#

sharp shadow but you cant do this question in the same

just try evaluating only the numerator

#

what would you get?

void magnet Apr 17, 2024, 11:31 AM

#

well 1/roote

rain wasp Apr 17, 2024, 11:31 AM

#

void magnet well 1/roote

!nosols

midnight plankBOT Apr 17, 2024, 11:31 AM

#

void magnet well 1/roote

As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.

rain wasp Apr 17, 2024, 11:31 AM

#

rain wasp just try evaluating only the numerator

@sharp shadow

void magnet Apr 17, 2024, 11:32 AM

#

well i only see the e part

sharp shadow Apr 17, 2024, 11:32 AM

#

wtf

#

(e/e)^∞is not exit

#

its obviously

#

the answer is e^(-1/2) if i didnt remember wrong

rain wasp Apr 17, 2024, 11:35 AM

#

sharp shadow (e/e)^∞is not exit

and what is e/e?

sharp shadow Apr 17, 2024, 11:35 AM

#

Screenshot_20240417_193515_org.geogebra.android.jpg

void magnet Apr 17, 2024, 11:36 AM

#

how about substitue 0 in there

sharp shadow Apr 17, 2024, 11:37 AM

#

its surely wrong

#

lol,br

rain wasp Apr 17, 2024, 11:37 AM

#

rain wasp and what is e/e?

@sharp shadow ???

void magnet Apr 17, 2024, 11:40 AM

#

((1+x)^1/x)^1/x / x root e

#

(1+x)^1/x^2 / x root e

#

i think you have to rewrite the limit

rain wasp Apr 17, 2024, 11:42 AM

#

!nogpt

midnight plankBOT Apr 17, 2024, 11:42 AM

#

Please do not trust ChatGPT or similar AI tools for mathematical tasks, as they often generate output which "sounds correct" but has numerous factual or logical errors. Use of these AI tools to answer other people's help questions is strictly against server rules (see #rules).

sharp shadow Apr 17, 2024, 11:42 AM

#

rain wasp <@1217368545382498364> ???

the fraction is e/e

rain wasp Apr 17, 2024, 11:42 AM

#

sharp shadow the fraction is e/e

and what does it evaluate to

#

the fraction

#

or similar AI tools

sharp shadow Apr 17, 2024, 11:43 AM

#

its a commom lim

void magnet Apr 17, 2024, 11:43 AM

#

limx-> 0 = e ^ ln(x+1) / x^2 - 1/x

sharp shadow Apr 17, 2024, 11:43 AM

#

i forget how to get it

void magnet Apr 17, 2024, 11:43 AM

#

wrong ping

rain wasp Apr 17, 2024, 11:43 AM

#

sharp shadow its a commom lim

my man im just asking what e/e equals

void magnet Apr 17, 2024, 11:44 AM

#

try lim x->0=e^(ln(x+1)/x^2 - 1/x)

sharp shadow Apr 17, 2024, 11:44 AM

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rain wasp my man im just asking what e/e equals

e/e=1

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surely

rain wasp Apr 17, 2024, 11:44 AM

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sharp shadow surely

thank you

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now, as 1/x tends to 0, it becomes infinity

sharp shadow Apr 17, 2024, 11:44 AM

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e is a normal num

rain wasp Apr 17, 2024, 11:44 AM

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in other words, this is an 1^infty limit

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do you know what you usually do for this limit?

void magnet Apr 17, 2024, 11:45 AM

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you have to get e ^ .... i think

sharp shadow Apr 17, 2024, 11:45 AM

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rain wasp do you know what you usually do for this limit?

Equivalent substitution

rain wasp Apr 17, 2024, 11:45 AM

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void magnet you have to get e ^ .... i think

im not asking you

sharp shadow Apr 17, 2024, 11:45 AM

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void magnet you have to get e ^ .... i think

yes

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its pleasure to discuss each others

rain wasp Apr 17, 2024, 11:46 AM

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sharp shadow yes

but yes, like samach said, you bring the whole thing to exponent

sharp shadow Apr 17, 2024, 11:46 AM

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welcome to talk

rain wasp Apr 17, 2024, 11:47 AM

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now do you know why bring everything to the exponent?

sharp shadow Apr 17, 2024, 11:47 AM

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anyone could get the right answers？

void magnet Apr 17, 2024, 11:48 AM

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you probably have to get x on it own to do this

sharp shadow Apr 17, 2024, 11:48 AM

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rain wasp now do you know why bring everything to the exponent?

itsconvenientto compute。i guess

rain wasp Apr 17, 2024, 11:49 AM

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sharp shadow itsconvenientto compute。i guess

because logarithms

sharp shadow Apr 17, 2024, 11:49 AM

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void magnet you probably have to get x on it own to do this

Is there a specific deduction?

rain wasp Apr 17, 2024, 11:50 AM

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$\ln a^x = x\ln a$

grand pondBOT Apr 17, 2024, 11:50 AM

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فطر

rain wasp Apr 17, 2024, 11:50 AM

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this sets up very nicely for l'hopital

sharp shadow Apr 17, 2024, 11:50 AM

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rain wasp because logarithms

you are right

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obviously

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Is there a specific deduction?

rain wasp Apr 17, 2024, 11:51 AM

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what do you mean

sharp shadow Apr 17, 2024, 11:51 AM

#

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this question how to finish

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it my homework

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i should hand in it soon

rain wasp Apr 17, 2024, 11:52 AM

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!noans

midnight plankBOT Apr 17, 2024, 11:52 AM

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The purpose of this server is to help you learn, not to hand out answers. Do not ask someone to give you the answer directly.

void magnet Apr 17, 2024, 11:52 AM

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i will turn it into ((1+x)^1/x)^1/x. / x root e first

rain wasp Apr 17, 2024, 11:52 AM

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i recommend setting the whole thing to a value

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like A

sharp shadow Apr 17, 2024, 11:52 AM

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midnight plank The purpose of this server is to help you learn, not to hand out answers. Do not...

haha,sorry

rain wasp Apr 17, 2024, 11:53 AM

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then e^ln() both sides

void magnet Apr 17, 2024, 11:53 AM

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then you get (1+x)^(1/x^2). / x root e

sharp shadow Apr 17, 2024, 11:53 AM

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rain wasp then e^ln() both sides

sure

rain wasp Apr 17, 2024, 11:53 AM

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this way you can bring the 1/x down

sharp shadow Apr 17, 2024, 11:53 AM

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could u write it in paper,thx

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im no the english learner

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i just know the math mark

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u r all nice guy

rain wasp Apr 17, 2024, 11:55 AM

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you should do the work yourself

sharp shadow Apr 17, 2024, 11:55 AM

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hahah

rain wasp Apr 17, 2024, 11:55 AM

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you are the learner, im simply guiding you where to go

sharp shadow Apr 17, 2024, 11:56 AM

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i have no idea

rain wasp Apr 17, 2024, 11:56 AM

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rain wasp i recommend setting the whole thing to a value

read my messages again

sharp shadow Apr 17, 2024, 11:57 AM

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sure

rain wasp Apr 17, 2024, 11:57 AM

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$A=\lim_{x\to0}\left(\frac{(1+x)^{\frac1x}}e\right)^{\frac1x}$

grand pondBOT Apr 17, 2024, 11:57 AM

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فطر

rain wasp Apr 17, 2024, 11:57 AM

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now e^ln() both sides

sharp shadow Apr 17, 2024, 11:58 AM

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whwt then？

void magnet Apr 17, 2024, 11:59 AM

#

sharp shadow Apr 17, 2024, 12:00 PM

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Screenshot_20240417_195926_org.geogebra.android_edit_121312924614240.jpg

sharp shadow Apr 17, 2024, 12:00 PM

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void magnet

its cool

void magnet Apr 17, 2024, 12:01 PM

#

sharp shadow Apr 17, 2024, 12:01 PM

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rain wasp now e^ln() both sides

what then

sharp shadow Apr 17, 2024, 12:02 PM

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void magnet

wow

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good

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👍🏻

sharp shadow Apr 17, 2024, 12:03 PM

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void magnet

i guess the answer is 1

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bec ln(x+1)~x in 0 point

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but the right answer is

void magnet Apr 17, 2024, 12:05 PM

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and you turn x to 0

sharp shadow Apr 17, 2024, 12:05 PM

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why its this answer instead of 1

Screenshot_20240417_195926_org.geogebra.android_edit_121643005467708.jpg

void magnet Apr 17, 2024, 12:05 PM

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so you get 0/0

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so you can do ln(x+1)=x-(x^2/2)and cancelx^3

sharp shadow Apr 17, 2024, 12:09 PM

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void magnet so you can do ln(x+1)=x-(x^2/2)and cancelx^3

Taylor unfolded？

void magnet Apr 17, 2024, 12:09 PM

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this is from the sin(x)=x-(x^n/n!)

sharp shadow Apr 17, 2024, 12:10 PM

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oooo

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thx,i get it

void magnet Apr 17, 2024, 12:11 PM

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i havent learn exponencial before

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just trying hardest from what i haev already learned

sharp shadow Apr 17, 2024, 12:11 PM

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hahah

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u r talent

#

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its very beautiful

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.close

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#

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void magnet Apr 17, 2024, 12:35 PM

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???

midnight plankBOT Apr 17, 2024, 12:42 PM

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slim nova Apr 17, 2024, 12:54 PM

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how to prove that xy=z^2 plots an infinite elliptic cone?

midnight plankBOT Apr 17, 2024, 12:54 PM

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slim nova how to prove that xy=z^2 plots an infinite elliptic cone?

slim nova Apr 17, 2024, 12:58 PM

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I'm trying to find some geometric interpretation to at least make it more intuitive for myself to understand, but that's proving to be quite flimsy haha

midnight plankBOT Apr 17, 2024, 1:13 PM

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@slim nova Has your question been resolved?

midnight plankBOT Apr 17, 2024, 1:43 PM

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@slim nova Has your question been resolved?

slim nova Apr 17, 2024, 1:53 PM

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<@&286206848099549185>

midnight plankBOT Apr 17, 2024, 2:53 PM

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@slim nova Has your question been resolved?

midnight plankBOT Apr 17, 2024, 5:10 PM

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@slim nova Has your question been resolved?

final monolith Apr 17, 2024, 7:46 PM

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slim nova how to prove that xy=z^2 plots an infinite elliptic cone?

this shape? you can sort of see it with special cases, like x or y 0 makes z 0 so you get an X-shape in the z=0 plane, and x=y=z or -z gives another X-shape at an angle and you just draw a curved surface around those lines

midnight plankBOT Apr 17, 2024, 9:13 PM

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@slim nova Has your question been resolved?

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coral bobcat Apr 18, 2024, 1:21 AM

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Hi help

midnight plankBOT Apr 18, 2024, 1:21 AM

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coral bobcat Hi help

coral bobcat Apr 18, 2024, 1:21 AM

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💀

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I got csc

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Idk what to do now

stoic zinc Apr 18, 2024, 1:23 AM

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ummmm, you need to find the values of each of the letters

coral bobcat Apr 18, 2024, 1:23 AM

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?

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Oh yeah

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So i got csc as 3

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But idk what to do now

stoic zinc Apr 18, 2024, 1:24 AM

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do you know how to do b?

coral bobcat Apr 18, 2024, 1:24 AM

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No 😭

solid hornet Apr 18, 2024, 1:26 AM

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im not 100% sure because i didnt do this in class yet but

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if we have sinx

stoic zinc Apr 18, 2024, 1:26 AM

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can there be multiple solutions for each of the letter?

solid hornet Apr 18, 2024, 1:26 AM

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then we can find sin^2(x) right

coral bobcat Apr 18, 2024, 1:26 AM

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stoic zinc can there be multiple solutions for each of the letter?

Idk 😭

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Maybe?

solid hornet Apr 18, 2024, 1:26 AM

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then we can use sin^2(x)+cos^2(x)=1

coral bobcat Apr 18, 2024, 1:26 AM

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Omg

solid hornet Apr 18, 2024, 1:26 AM

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not sure

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maybe that works

coral bobcat Apr 18, 2024, 1:27 AM

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So cos = sqrt(8)/3?

solid hornet Apr 18, 2024, 1:27 AM

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it would be sqrt(8/3)

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but

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i dont know about the signs

stoic zinc Apr 18, 2024, 1:27 AM

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dawg

solid hornet Apr 18, 2024, 1:27 AM

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woh

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wai

tribal temple Apr 18, 2024, 1:28 AM

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helpparens placement matters

solid hornet Apr 18, 2024, 1:28 AM

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oh

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righ

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i forgot

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i was thinking sqrt(8/9)

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but i see you simplified to sqrt(8)/3

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i c

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yes ur right

coral bobcat Apr 18, 2024, 1:29 AM

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catthumbsup

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Ok thank you! :DD

stoic zinc Apr 18, 2024, 1:30 AM

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can't it also be - sqrt(8)/3?

tribal temple Apr 18, 2024, 1:31 AM

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[yea, they didn't give any quadrant info catAngery I'm assuming you're meant to take it as first quadrant though, if they state that(?)]

coral bobcat Apr 18, 2024, 1:43 AM

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Oh oops i forgot to close this

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Thanks guys! :))

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.close

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coral bobcat Apr 18, 2024, 2:15 AM

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Hii how would i do 47 😭

midnight plankBOT Apr 18, 2024, 2:15 AM

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coral bobcat Hii how would i do 47 😭

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Please don't occupy multiple help channels.

coral bobcat Apr 18, 2024, 2:15 AM

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Oops

tribal temple Apr 18, 2024, 2:17 AM

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Quadrant info, finally catThink

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The best thing to find first would most likely be tan(theta), there's a identity that links sec to tan directly...

coral bobcat Apr 18, 2024, 2:21 AM

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So the quadrants would either be 2 or 4

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?

tribal temple Apr 18, 2024, 2:21 AM

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Yep, but then you can rule one of those out!

coral bobcat Apr 18, 2024, 2:21 AM

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Is it quadrant 4?

tribal temple Apr 18, 2024, 2:22 AM

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It's in quadrant 4 SCgoodjob2

coral bobcat Apr 18, 2024, 2:22 AM

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YAY

tribal temple Apr 18, 2024, 2:22 AM

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[because that's where cos, and so sec, are positive, and here you know that sec is positive happyCat ]

coral bobcat Apr 18, 2024, 2:23 AM

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Oooh :DD

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Would cos be -5/6

tribal temple Apr 18, 2024, 2:25 AM

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cos and sec have the same sign OathLove

coral bobcat Apr 18, 2024, 2:25 AM

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OH

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OH YEAH

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💀

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Would i use a trig identity to find the rest?

tribal temple Apr 18, 2024, 2:25 AM

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Yep catThumbsUp

coral bobcat Apr 18, 2024, 2:26 AM

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Would it be 36/25-1 = tan^2

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Amd so tan = sqrt(11)/5

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Hooray 😄

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And so sin would be (6)sqrt(11)/25?

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And csc would be [(25)sqrt(11)]/66

tribal temple Apr 18, 2024, 2:36 AM

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coral bobcat And csc would be [(25)sqrt(11)]/66

All good to me happyCat

coral bobcat Apr 18, 2024, 2:36 AM

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YAY :DDDD

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THANK YOU!!!

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hype

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.close

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stoic wing Apr 18, 2024, 3:30 AM

#

midnight plankBOT Apr 18, 2024, 3:30 AM

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stoic wing

stoic wing Apr 18, 2024, 3:30 AM

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i dont know how to attempt ii

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silent sorrel Apr 18, 2024, 4:10 AM

#

midnight plankBOT Apr 18, 2024, 4:10 AM

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silent sorrel

silent sorrel Apr 18, 2024, 4:10 AM

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#14

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I’m not sure what it means to find the compass heading for the plane

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Does it mean the compass heading that she should go to make the plane go east again

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?

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Ping pls when someone helps

midnight plankBOT Apr 18, 2024, 4:27 AM

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@silent sorrel Has your question been resolved?

silent sorrel Apr 18, 2024, 4:28 AM

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<@&286206848099549185>

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@fallen galleon quick question

fallen galleon Apr 18, 2024, 4:29 AM

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?

silent sorrel Apr 18, 2024, 4:29 AM

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silent sorrel

I’m not sure of the meaning of the wording of this question

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Number 14

fallen galleon Apr 18, 2024, 4:30 AM

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compass heading huh

silent sorrel Apr 18, 2024, 4:31 AM

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Does it mean that I need to find the angle that resets the plane back to east

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Or just the resultant angle

silent sorrel Apr 18, 2024, 4:31 AM

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silent sorrel Does it mean that I need to find the angle that resets the plane back to east

Because I don’t know how to do this

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But the resultant angle is very easy

fallen galleon Apr 18, 2024, 4:31 AM

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the angle between the heading of your Aircraft and the Compass North.

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i also dont really know what compass heading is

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thats what i found on google

silent sorrel Apr 18, 2024, 4:32 AM

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North is 90 degrees

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And that is the new 0

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So 90 bearing is 0 degrees

silent sorrel Apr 18, 2024, 4:36 AM

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fallen galleon the angle between the heading of your Aircraft and the Compass North.

It says to find the compass heading that the plane should follow

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Wait hold on I think I Joe

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Know

fallen galleon Apr 18, 2024, 4:37 AM

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silent sorrel It says to find the compass heading that the plane should follow

so basically how many angles the plane should fly from north?

silent sorrel Apr 18, 2024, 4:42 AM

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Yes

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I got the question though

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Thanks

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.close

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civic iris Apr 18, 2024, 5:07 AM

#

midnight plankBOT Apr 18, 2024, 5:07 AM

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civic iris

civic iris Apr 18, 2024, 5:08 AM

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Can anyone walk me through this question,i understood the second part after differentiating but my why question is if it has a postive point of maximum is it nessary that the minimum should also lie in the postive point i dont get the graph.

midnight plankBOT Apr 18, 2024, 5:23 AM

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@civic iris Has your question been resolved?

civic iris Apr 18, 2024, 5:36 AM

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<@&286206848099549185>

quasi pasture Apr 18, 2024, 5:48 AM

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civic iris Can anyone walk me through this question,i understood the second part after diff...

Because the dominant term is x^3, as you go more left the graph goes towards -infinity and when you go right the graph will go towards +infinity, if there is a maximum, then you know that immediately to the right the graph should be decreasing because that is how the max is defined. But you also know that in the long run that when you go towards the right you go towards infinity, so the graph has to turn around with a min to go back up.

civic iris Apr 18, 2024, 5:49 AM

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hello

quasi pasture Apr 18, 2024, 5:49 AM

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hi

civic iris Apr 18, 2024, 5:49 AM

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that makes so much sense

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ty so much

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and for find if odd degree function is first coming -infinty or +infinty you just substitute values and check right?

quasi pasture Apr 18, 2024, 5:51 AM

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It depends on the sign of the dominant term.

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If it is positive, its as above, if it is negative it is flipped.

civic iris Apr 18, 2024, 5:52 AM

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ahh alright

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tysm

quasi pasture Apr 18, 2024, 5:52 AM

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No problem happy to help!

civic iris Apr 18, 2024, 5:52 AM

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.close

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last slate Apr 18, 2024, 4:59 PM

#

wat do restrictions Meanhere

midnight plankBOT Apr 18, 2024, 4:59 PM

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last slate wat do restrictions Meanhere

novel herald Apr 18, 2024, 5:00 PM

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they get rid of all the stuff that wouldn't make f one to one

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in their example if you take the domain [-10,10]

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then $f(-2) = (-2)^2 = 4 = 2^2 = f(2)$

grand pondBOT Apr 18, 2024, 5:00 PM

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chebyshev's infinite pee norm

novel herald Apr 18, 2024, 5:01 PM

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so 4 (from the range) is coming from both -2 and 2 (from the domain)

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and in particular, x^2 in the range comes from -x as well as x in the domain

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when you restrict it to [0, 10]

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x^2 can only come from x, it can't come from -x anymore

last slate Apr 18, 2024, 5:07 PM

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novel herald they get rid of all the stuff that wouldn't make f one to one

what does restrictioj mean

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likw how does it limit

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the domain

novel herald Apr 18, 2024, 5:10 PM

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they made it smaller

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it went from [-10,10] to [0,10]

last slate Apr 18, 2024, 5:13 PM

#

.close

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last glen Apr 18, 2024, 5:55 PM

#

Can someone state the series for this. I'm outta go crazy

rn_image_picker_lib_temp_bb63f795-158c-4931-9f6e-e689ef2478b6.jpg

midnight plankBOT Apr 18, 2024, 5:55 PM

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last glen Can someone state the series for this. I'm outta go crazy

gusty seal Apr 18, 2024, 5:56 PM

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Seems to be $\left { 1 + \left(-\frac{1}{3}\right)^n \right }_{n \geq 1}.$

grand pondBOT Apr 18, 2024, 5:56 PM

#

lpieleanu

last glen Apr 18, 2024, 5:57 PM

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gusty seal Seems to be $\left \{ 1 + \left(-\frac{1}{3}\right)^n \right \}_{n \geq 1}.$

How did you get it so fast?

gusty seal Apr 18, 2024, 5:58 PM

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i noticed that the 1st, 3rd, 5th, etc. are slightly above 1 by a power of (1/3) and the 2nd, 4th, 6th, etc. are slightly below 1 by a power of (1/3)

last glen Apr 18, 2024, 5:59 PM

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That actually makes sense thanks for helping

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.close

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steady sierra Apr 18, 2024, 6:31 PM

#

Can you prove that a function is surjective in discrete with a graph ?

midnight plankBOT Apr 18, 2024, 6:31 PM

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steady sierra Can you prove that a function is surjective in discrete with a graph ?

runic hamlet Apr 18, 2024, 6:36 PM

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depends on what you mean by graph

steady sierra Apr 18, 2024, 6:36 PM

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like if given a function x^2 and I graph that

runic hamlet Apr 18, 2024, 6:36 PM

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no

steady sierra Apr 18, 2024, 6:37 PM

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but I could use a graph to prove that a function is injective right ?

runic hamlet Apr 18, 2024, 6:37 PM

#

no

steady sierra Apr 18, 2024, 6:38 PM

#

dayumn.... alright well thank you

#

.close

midnight plankBOT Apr 18, 2024, 6:39 PM

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nocturne marlin Apr 18, 2024, 6:55 PM

#

im stupid

#

xD sry

cobalt sigil Apr 18, 2024, 7:00 PM

#

Hi

#

Hey bro

midnight plankBOT Apr 18, 2024, 7:05 PM

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hexed talon Apr 18, 2024, 7:08 PM

#

midnight plankBOT Apr 18, 2024, 7:08 PM

#

hexed talon

hexed talon Apr 18, 2024, 7:09 PM

#

WHy are they choosing specifically 3 points to look for combination A to f(A), B to f(B) and C to f(C)?

#

i dont get how that is related to the statement

#

nvm i think drawing it out helped me visualize

#

.close

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hexed talon Apr 18, 2024, 7:31 PM

#

midnight plankBOT Apr 18, 2024, 7:31 PM

#

hexed talon

hexed talon Apr 18, 2024, 7:32 PM

#

Im not understanding this paragraph

#

"w has direction u from v if w - v is a multiple of u"

runic hamlet Apr 18, 2024, 7:35 PM

#

if you are at v and want to go to w, you have to go in the direction of u

hexed talon Apr 18, 2024, 7:41 PM

#

would it be possible to draw it out?

hexed talon Apr 18, 2024, 7:43 PM

#

runic hamlet if you are at v and want to go to w, you have to go in the direction of u

SO like this?

#

w-v is the blue line?

runic hamlet Apr 18, 2024, 7:50 PM

#

the arrowhead needs to be on the other end

midnight plankBOT Apr 18, 2024, 7:58 PM

#

@hexed talon Has your question been resolved?

hexed talon Apr 18, 2024, 7:58 PM

#

runic hamlet the arrowhead needs to be on the other end

like pointing towards the other side (towards the tip of w)?

runic hamlet Apr 18, 2024, 7:59 PM

#

yes

hexed talon Apr 18, 2024, 8:03 PM

#

runic hamlet yes

thank u

#

.close

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abstract aurora Apr 18, 2024, 8:33 PM

#

midnight plankBOT Apr 18, 2024, 8:33 PM

#

abstract aurora

gleaming latch Apr 18, 2024, 8:35 PM

#

no solution means the lines never intersect

abstract aurora Apr 18, 2024, 8:35 PM

#

#

and this btw

#

ty

gleaming latch Apr 18, 2024, 8:35 PM

#

these are linear so that means they have the same slope

abstract aurora Apr 18, 2024, 8:36 PM

#

gleaming latch these are linear so that means they have the same slope

yes but how can I get z

gleaming latch Apr 18, 2024, 8:36 PM

#

put the equations into y = mx + b form

blissful pier Apr 18, 2024, 8:36 PM

#

well solve each equation for y and equate the slopes

abstract aurora Apr 18, 2024, 8:37 PM

#

blissful pier well solve each equation for y and equate the slopes

I did that

#

I've got 1/(1/6.5) what i suspected to be wrong

abstract aurora Apr 18, 2024, 8:40 PM

#

abstract aurora

wb this guys?

blissful pier Apr 18, 2024, 8:41 PM

#

abstract aurora I've got 1/(1/6.5) what i suspected to be wrong

what did you get for y in both of these expressions?

abstract aurora Apr 18, 2024, 8:44 PM

#

they werent the same y

#

nvm I rechecked and I got 1/4 for z

#

and 4 for the slope of equation 2

midnight plankBOT Apr 18, 2024, 9:01 PM

#

@abstract aurora Has your question been resolved?

midnight plankBOT Apr 18, 2024, 9:16 PM

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Channel closed

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sick lodge Apr 18, 2024, 11:20 PM

#

yo

midnight plankBOT Apr 18, 2024, 11:20 PM

#

sick lodge yo

sick lodge Apr 18, 2024, 11:20 PM

#

#

i cant find my error

static thunder Apr 18, 2024, 11:29 PM

#

sick lodge

#

How did you get this

tribal tartan Apr 18, 2024, 11:30 PM

#

yeah that part is wrong

#

since if you used a u sub

sick lodge Apr 18, 2024, 11:30 PM

#

i splited it in 2

static thunder Apr 18, 2024, 11:30 PM

#

If you did int f'/f, its wrong

tribal tartan Apr 18, 2024, 11:30 PM

#

du=2x+1 dx

sick lodge Apr 18, 2024, 11:30 PM

#

i split the integral in 2

static thunder Apr 18, 2024, 11:30 PM

#

x^2+x+2 goes to x+1

sick lodge Apr 18, 2024, 11:30 PM

#

its like integral of x + 2x is integral of x + integral of 2x

static thunder Apr 18, 2024, 11:30 PM

#

2x+1*

tribal tartan Apr 18, 2024, 11:31 PM

#

sick lodge its like integral of x + 2x is integral of x + integral of 2x

yes but you evaluated the first integral wrong

sick lodge Apr 18, 2024, 11:31 PM

#

can u tell me why

tribal tartan Apr 18, 2024, 11:31 PM

#

you used a u substitution i presume

sick lodge Apr 18, 2024, 11:31 PM

#

i tried to split them

tribal tartan Apr 18, 2024, 11:32 PM

#

did you do u=x^2+x+1?

sick lodge Apr 18, 2024, 11:32 PM

#

i did u = x+1/é

#

1/2

tribal tartan Apr 18, 2024, 11:32 PM

#

that’s the second integral

#

i’m talking about the first one

static thunder Apr 18, 2024, 11:32 PM

#

The one I highlighted

sick lodge Apr 18, 2024, 11:32 PM

#

for the first one i just split the integral in half

tribal tartan Apr 18, 2024, 11:33 PM

#

what do you mean split it in half?

#

it’s already split

sick lodge Apr 18, 2024, 11:33 PM

#

its like integral of x + 2x is integral of x + integral of 2x

static thunder Apr 18, 2024, 11:33 PM

#

Let me show you how to do it

#

Give me a min

#

I think this isn't getting anywhere

tribal tartan Apr 18, 2024, 11:33 PM

#

$\int\frac{x}{x^2+x+1}\dd x$ cannot be split up any further

grand pondBOT Apr 18, 2024, 11:33 PM

#

y0shi

sick lodge Apr 18, 2024, 11:33 PM

#

grand pond **y0shi**

i know that

tribal tartan Apr 18, 2024, 11:33 PM

#

static thunder I think this isn't getting anywhere

yeah definitely not

sick lodge Apr 18, 2024, 11:33 PM

#

i did that and i got 1/2 ln(3)

tribal tartan Apr 18, 2024, 11:34 PM

#

how?

sick lodge Apr 18, 2024, 11:34 PM

#

multiply by 2

#

and 1/2

#

u get ln(x^2+x+1)

#

between 1 and 0

tribal tartan Apr 18, 2024, 11:34 PM

#

that’s incorrect

#

if you differentiate that

#

you won’t get that integrand

#

since the derivative of the inside would be 2x+1

#

not 2x

#

you can’t simply just multiply by 2 here to compensate for that

sick lodge Apr 18, 2024, 11:35 PM

#

my bad

#

so the 2 in the second integral

#

should be 1

#

no more 2

#

i got it now thank you

#

.close

midnight plankBOT Apr 18, 2024, 11:36 PM

#

Channel closed

Closed by @sick lodge

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last slate Apr 19, 2024, 12:07 AM

#

for b
can it be
(5-3)^2 < (x-3)^2
as (x-3)^2 = f(x) anyway

and ik all squared values are <0 but wat does it mean by 0 being equal to a squared value?
like 0^2 =0
dis the only possible case anyway

midnight plankBOT Apr 19, 2024, 12:07 AM

#

last slate for b can it be (5-3)^2 < (x-3)^2 as (x-3)^2 = f(x) anyway and ik all squar...

dawn dagger Apr 19, 2024, 12:09 AM

#

last slate for b can it be (5-3)^2 < (x-3)^2 as (x-3)^2 = f(x) anyway and ik all squar...

yea

last slate Apr 19, 2024, 12:10 AM

#

last slate for b can it be (5-3)^2 < (x-3)^2 as (x-3)^2 = f(x) anyway and ik all squar...

@wet wagon

#

.close

midnight plankBOT Apr 19, 2024, 12:18 AM

#

Channel closed

Closed by @summer mason

Use .reopen if this was a mistake.

last slate Apr 19, 2024, 12:18 AM

#

.reopej

#

.reopen

midnight plankBOT Apr 19, 2024, 12:18 AM

#

✅

last slate Apr 19, 2024, 12:18 AM

#

last slate for b can it be (5-3)^2 < (x-3)^2 as (x-3)^2 = f(x) anyway and ik all squar...

^

midnight plankBOT Apr 19, 2024, 12:33 AM

#

@last slate Has your question been resolved?

last slate Apr 19, 2024, 12:38 AM

#

.reopen

#

.close

midnight plankBOT Apr 19, 2024, 12:38 AM

#

Channel closed

Closed by @summer mason

Use .reopen if this was a mistake.

last slate Apr 19, 2024, 12:38 AM

#

.reopen

midnight plankBOT Apr 19, 2024, 12:38 AM

#

✅

last slate Apr 19, 2024, 12:45 AM

#

.close

midnight plankBOT Apr 19, 2024, 12:45 AM

#

Channel closed

Closed by @summer mason

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midnight plankBOT Apr 19, 2024, 1:15 AM

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static salmon Apr 19, 2024, 1:19 AM

#

im stuck on 28, and these are the formulas we can use

midnight plankBOT Apr 19, 2024, 1:19 AM

#

static salmon im stuck on 28, and these are the formulas we can use

static salmon Apr 19, 2024, 1:19 AM

#

full question: “ write the first function in terms of the second”

nova yoke Apr 19, 2024, 1:20 AM

#

well you have tan = sin/cos available

#

can you write sin in terms of cos?

midnight plankBOT Apr 19, 2024, 1:34 AM

#

@static salmon Has your question been resolved?

static salmon Apr 19, 2024, 1:48 AM

#

nova yoke can you write sin in terms of cos?

um

#

cos(90-x)?

nova yoke Apr 19, 2024, 1:50 AM

#

yea

static salmon Apr 19, 2024, 1:50 AM

#

would that just be the answer?

static salmon Apr 19, 2024, 2:11 AM

#

.close

midnight plankBOT Apr 19, 2024, 2:11 AM

#

Channel closed

Closed by @static salmon

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static salmon Apr 19, 2024, 2:12 AM

#

new question, new channel- no idea what to do for 32 or 36

midnight plankBOT Apr 19, 2024, 2:12 AM

#

static salmon new question, new channel- no idea what to do for 32 or 36

tawny gyro Apr 19, 2024, 2:17 AM

#

static salmon new question, new channel- no idea what to do for 32 or 36

Use the trig identity, but divide it by sin^2

static salmon Apr 19, 2024, 2:18 AM

#

zhuh

tawny gyro Apr 19, 2024, 2:18 AM

#

It will take a while to write out

static salmon Apr 19, 2024, 2:18 AM

#

which trig identity

#

there are multiple

hearty rune Apr 19, 2024, 2:18 AM

#

32, just expand, tan^2+1=sec^2 is the key

tawny gyro Apr 19, 2024, 2:19 AM

#

The one that he said times cos^2

static salmon Apr 19, 2024, 2:21 AM

#

how do you get to tan^2

opal yarrow Apr 19, 2024, 2:21 AM

#

sin and csc cancel out, and then the other 2 result in tan^2, so it becomes 1 + tan^2

#

u can do sec^2 as 1/cos^2

#

and then its sin^2 / cos^2

static salmon Apr 19, 2024, 2:22 AM

#

ive located my fatal error

#

when I wrote down the problem i forgot to square sin

tawny gyro Apr 19, 2024, 2:23 AM

#

#

It took longer because I had to set up a highlighter

static salmon Apr 19, 2024, 2:24 AM

#

okay I’ve gotten to that

#

oh wait im dumb-

tawny gyro Apr 19, 2024, 2:25 AM

#

What are you stuck on on 32?

static salmon Apr 19, 2024, 2:25 AM

#

okay it’s like 10:30 pm and someone is knocking on my door

#

give me just a moment if i die tell my family

#

nvm we good

static salmon Apr 19, 2024, 2:26 AM

#

tawny gyro What are you stuck on on 32?

I kept looking past the bit where it said tan^2+1 was equal to sec^2

#

Ok im good with 32

#

with 36 I just have no idea where to go

tawny gyro Apr 19, 2024, 2:28 AM

#

Now multiply the entire thing by the reciprocal of the right side on 36

static salmon Apr 19, 2024, 2:29 AM

#

From the start, or from where i got?

tawny gyro Apr 19, 2024, 2:29 AM

#

Start

static salmon Apr 19, 2024, 2:29 AM

#

Ik

#

Ok*

tawny gyro Apr 19, 2024, 2:29 AM

#

Any other questions?

static salmon Apr 19, 2024, 2:29 AM

#

According to my teacher we’re only allowed to change one side though

tawny gyro Apr 19, 2024, 2:30 AM

#

Thats annoying

static salmon Apr 19, 2024, 2:30 AM

#

tell me about it

tawny gyro Apr 19, 2024, 2:30 AM

#

Well, just combine the fractions of the left side first

static salmon Apr 19, 2024, 2:30 AM

#

this unit sucks it’s almost as bad as geometric proofs

tawny gyro Apr 19, 2024, 2:31 AM

#

Now any other questions

static salmon Apr 19, 2024, 2:31 AM

#

to be honest im incapable of like half of these

#

but I’ll keep going

tawny gyro Apr 19, 2024, 2:32 AM

#

:/

static salmon Apr 19, 2024, 2:32 AM

#

🫡

tawny gyro Apr 19, 2024, 2:32 AM

#

Ngl I don’t understand how people struggle with these

static salmon Apr 19, 2024, 2:32 AM

#

i think it’s just like too much information to me to process

tawny gyro Apr 19, 2024, 2:32 AM

#

But a good tip is to convert them to their cos and sin forms

static salmon Apr 19, 2024, 2:32 AM

#

oh thanks!

#

okay so after getting to (sin^2+cos^2)/(co^2 x sin^2) where do i go from there?

tawny gyro Apr 19, 2024, 2:38 AM

#

What is the basic trig Identity

#

Btw for your “test” I choose someone random for Q10 and got that person

static salmon Apr 19, 2024, 2:41 AM

#

who’d you get

#

rumi? jay? chip? lord forbid William?

static salmon Apr 19, 2024, 2:42 AM

#

tawny gyro What is the basic trig Identity

I’m also not sure what you mean by this

tawny gyro Apr 19, 2024, 2:42 AM

#

The one I mentioned earlier

tawny gyro Apr 19, 2024, 2:43 AM

#

static salmon rumi? jay? chip? lord forbid William?

Ashe cause I thought his name sounded cool lol

static salmon Apr 19, 2024, 2:43 AM

#

i always forget Ashe isn’t a woman

#

how’s parent issues going lmao

tawny gyro Apr 19, 2024, 2:43 AM

#

Idk those characters

static salmon Apr 19, 2024, 2:44 AM

#

yeah most don’t

#

pretty obscure fandom

#

rate the accuracy of the description x/10

tawny gyro Apr 19, 2024, 2:44 AM

#

I would have to reread it

static salmon Apr 19, 2024, 2:44 AM

#

did you close the tab bc i have it saved on my camera roll if needed

tawny gyro Apr 19, 2024, 2:46 AM

#

Lol I did the same answers but changed the “who I thought I would get” and got something different

static salmon Apr 19, 2024, 2:47 AM

#

who’d you get this time

tawny gyro Apr 19, 2024, 2:47 AM

#

Gillian

static salmon Apr 19, 2024, 2:47 AM

#

Jay or gillion

#

yeah that’s what i thought

#

still parent issues!

#

tawny gyro Apr 19, 2024, 2:48 AM

#

Lol its the only accurate thing

static salmon Apr 19, 2024, 2:49 AM

#

fair it’s really targeted at depressed gay children

#

anyway i think im gonna turn in

#

the math is not mathing and I want more than 6 hours of sleep tonight

tawny gyro Apr 19, 2024, 2:50 AM

#

In college you don’t have school on Fridays so I can stay up lol

static salmon Apr 19, 2024, 2:53 AM

#

good for you /gen

#

goodnight

#

.close

midnight plankBOT Apr 19, 2024, 2:53 AM

#

Channel closed

Closed by @static salmon

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midnight plankBOT Apr 19, 2024, 3:08 AM

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marble ruin Apr 19, 2024, 3:32 AM

#

How do you do part c and I was wondering if I got part a correct

midnight plankBOT Apr 19, 2024, 3:32 AM

#

marble ruin How do you do part c and I was wondering if I got part a correct

#

@marble ruin Has your question been resolved?

marble ruin Apr 19, 2024, 3:47 AM

#

.helpers

#

<@&286206848099549185>

tawny gyro Apr 19, 2024, 4:04 AM

#

a) is wrong

#

For c) what is the lowest y value on the graph?

midnight plankBOT Apr 19, 2024, 4:17 AM

#

@marble ruin Has your question been resolved?

marble ruin Apr 19, 2024, 4:30 AM

#

.close

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#

Channel closed

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crimson totem Apr 19, 2024, 4:53 AM

#

help pls...

midnight plankBOT Apr 19, 2024, 4:53 AM

#

crimson totem help pls...

#

Please don't occupy multiple help channels.

light comet Apr 19, 2024, 4:55 AM

#

L

crimson totem Apr 19, 2024, 4:55 AM

#

light comet L

yes

light comet Apr 19, 2024, 4:55 AM

#

crimson totem help pls...

what factors do the two terms have in common

crimson totem Apr 19, 2024, 4:55 AM

#

3

light comet Apr 19, 2024, 4:56 AM

#

so factor a 3 out

crimson totem Apr 19, 2024, 4:56 AM

#

how

light comet Apr 19, 2024, 4:57 AM

#

3(-12/3p^2q -9/3pq^2)

#

yeah just give him the answer

#

dont make him think

#

at that stage i didnt know how to do prime factorization

#

the easiest way is to continually divide out common factors

#

starting with 3 cause its obvious

#

then find the next comon factor

midnight plankBOT Apr 19, 2024, 5:15 AM

#

@crimson totem Has your question been resolved?

#

Channel closed

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wide dagger Apr 19, 2024, 6:15 AM

#

midnight plankBOT Apr 19, 2024, 6:15 AM

#

wide dagger

wide dagger Apr 19, 2024, 6:16 AM

#

Is this answer wrong ?

slender walrus Apr 19, 2024, 6:16 AM

#

yes, its wrong

wide dagger Apr 19, 2024, 6:16 AM

#

Crap

#

What did I do wrong?

slender walrus Apr 19, 2024, 6:17 AM

#

you summation represents
$$5.\overline{8}$$

wide dagger Apr 19, 2024, 6:17 AM

#

What does that mean

#

Only the 8 is repeating

slender walrus Apr 19, 2024, 6:17 AM

#

yes

#

but you ignored that it only starts repeating after a few positions

#

actually, misrepresented what you did

wide dagger Apr 19, 2024, 6:19 AM

#

wdym

slender walrus Apr 19, 2024, 6:19 AM

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what you did was actually
$$5 + \frac{8}{10} + \frac{8}{10^2} + \frac{8}{10^3} + \frac{8}{10^4}$$
which represents
$$5.8888$$

wide dagger Apr 19, 2024, 6:19 AM

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so I should've done 5.67 + 8/10... ?

slender walrus Apr 19, 2024, 6:20 AM

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no

grand pondBOT Apr 19, 2024, 6:20 AM

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ℝαμΩℕωⅤ

slender walrus Apr 19, 2024, 6:21 AM

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$$5.67\red{8}\overline{8}$$
what's the value of that red \red{8}?

grand pondBOT Apr 19, 2024, 6:21 AM

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ℝαμΩℕωⅤ

wide dagger Apr 19, 2024, 6:21 AM

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The repeating started at the first 8

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There was no 5.678 then 8 repeating

slender walrus Apr 19, 2024, 6:21 AM

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$5.67 + \what = 5.678$

grand pondBOT Apr 19, 2024, 6:21 AM

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ℝαμΩℕωⅤ

wide dagger Apr 19, 2024, 6:22 AM

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The answer it was looking for was a fraction

slender walrus Apr 19, 2024, 6:22 AM

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yes

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answer my question first

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as i'm guiding you step by step

wide dagger Apr 19, 2024, 6:22 AM

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.008?

slender walrus Apr 19, 2024, 6:22 AM

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yes

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and what is that as a fraction

wide dagger Apr 19, 2024, 6:23 AM

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1/125?

slender walrus Apr 19, 2024, 6:23 AM

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what did you have before simplifying

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its more convenient when doing the summation that way

wide dagger Apr 19, 2024, 6:23 AM

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Am I including the 5.67 ?

slender walrus Apr 19, 2024, 6:24 AM

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forget about that for now

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focus on what i'm asking for

wide dagger Apr 19, 2024, 6:24 AM

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8/1000?

slender walrus Apr 19, 2024, 6:24 AM

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yes

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that should be the first thing you'd be adding to the 5.67 and so on
instead of starting from 8/10

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$5.67\overline{8} = 5.67 + \frac{8}{10^3} + \frac{8}{10^4} + \dots$

grand pondBOT Apr 19, 2024, 6:25 AM

#

ℝαμΩℕωⅤ

wide dagger Apr 19, 2024, 6:26 AM

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Darn I messed up on my exam

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Rip

slender walrus Apr 19, 2024, 6:26 AM

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and then do the infite summation and combine terms into a single fraction

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are you required to do it this way?

wide dagger Apr 19, 2024, 6:27 AM

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Yes

slender walrus Apr 19, 2024, 6:28 AM

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so you're not allowed to use the
x = 5.678
100x = 567.8...
1000x = 5678.8...
etc?

wide dagger Apr 19, 2024, 6:28 AM

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probably could but im just going by the method my professor gave us

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nah I wasn't. But its alright. I was just curious if I did the correct thing on my exam

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clearly not. rip

midnight plankBOT Apr 19, 2024, 6:57 AM

#

@wide dagger Has your question been resolved?

midnight plankBOT Apr 19, 2024, 7:12 AM

#

Channel closed

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midnight plankBOT Apr 19, 2024, 8:27 AM

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bleak pier Apr 19, 2024, 8:27 AM

#

Limit of floor(sinx)
X tends to π/2

midnight plankBOT Apr 19, 2024, 8:27 AM

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bleak pier Limit of floor(sinx) X tends to π/2

lofty cargo Apr 19, 2024, 8:38 AM

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floor ?

bleak pier Apr 19, 2024, 8:43 AM

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Greatest integer function

full marlin Apr 19, 2024, 8:43 AM

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Sin(pi/2) is 1 but the values of sinx are less than 1 near pi/2 so the limit of floor(sinx) at pi/2 would be 0

bleak pier Apr 19, 2024, 8:45 AM

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full marlin Sin(pi/2) is 1 but the values of sinx are less than 1 near pi/2 so the limit of ...

But why?

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I meant it will be 0 or 1?

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X tends to π/2

full marlin Apr 19, 2024, 8:45 AM

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The value at that point is 1 but the limit is 0

bleak pier Apr 19, 2024, 8:45 AM

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Ohh so we are talking about tends

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,w limit x tends to floor(sinx)

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Thank you

lofty cargo Apr 19, 2024, 8:49 AM

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bleak pier Greatest integer function

you can try with graph as well

grand pondBOT Apr 19, 2024, 8:53 AM

#

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midnight plankBOT Apr 19, 2024, 9:02 AM

#

@bleak pier Has your question been resolved?

ebon sable Apr 19, 2024, 9:03 AM

#

do you have any other question?

bleak pier Apr 19, 2024, 9:08 AM

#

.close

midnight plankBOT Apr 19, 2024, 9:08 AM

#

Channel closed

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midnight plankBOT Apr 19, 2024, 10:48 AM

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lament fox Apr 19, 2024, 11:50 AM

#

$\lim_{x\to\infty}\int_{-\infty}^{\infty}\frac{1}{1+|t^x|}dt$

midnight plankBOT Apr 19, 2024, 11:50 AM

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lament fox $\lim_{x\to\infty}\int_{-\infty}^{\infty}\frac{1}{1+|t^x|}dt$

grand pondBOT Apr 19, 2024, 11:50 AM

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The د

lament fox Apr 19, 2024, 11:50 AM

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how can i approach this?

waxen linden Apr 19, 2024, 11:57 AM

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$\lim_{x \to \infty} t^x = 0$ for $t \in (-1, 1)$ , $\infty$ otherwise

dawn dagger Apr 19, 2024, 11:58 AM

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\lim*

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(-1, 1) was correct

#

1^(oo) = 1

grand pondBOT Apr 19, 2024, 11:59 AM

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b

waxen linden Apr 19, 2024, 11:59 AM

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you're helping me more than this guy lmao

dawn dagger Apr 19, 2024, 11:59 AM

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but the real question is

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if we can pull the limit operator inside the integrand

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then we can use your hint

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Apparently we can pull in the limit operator inside the integrand, if the convergence of the integrand is uniform

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,, \norm{f_n - f}{\infty} =\sup{n \in \mathbb{R} } \abs{\frac{1}{1+\abs{t^n}} - 1}

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hmm

midnight plankBOT Apr 19, 2024, 12:12 PM

#

@lament fox Has your question been resolved?

lament fox Apr 19, 2024, 12:17 PM

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ahh ok so $\int_{-\infty}^{\infty}\lim_{x\to\infty}\frac{1}{1+|t^x|}dt$

grand pondBOT Apr 19, 2024, 12:17 PM

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The د

lament fox Apr 19, 2024, 12:18 PM

#

we can say $\int_{-\infty}^{-1}\lim_{x\to\infty}\frac{1}{1+|t^x|}dt$ + $\int_{-1}^{1}\lim_{x\to\infty}\frac{1}{1+|t^x|}dt$ + $\int_{1}^{\infty}\lim_{x\to\infty}\frac{1}{1+|t^x|}dt$

grand pondBOT Apr 19, 2024, 12:19 PM

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The د

lament fox Apr 19, 2024, 12:19 PM

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which = 0 + 2 + 0 = 2

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perfect!

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right?

dawn dagger Apr 19, 2024, 12:21 PM

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You would have to prove first if the integrand converges uniformly

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then you can pull the limit operator inside

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but doesnt seem to be

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only pointwise convergent

lament fox Apr 19, 2024, 12:22 PM

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what does uniform convergence refer to?

dawn dagger Apr 19, 2024, 12:24 PM

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because of it wouldn't be continous since for 0 < t < 1 f = 1, for t = 1/2 f = 1 and t > 1 is f = 0

lament fox Apr 19, 2024, 12:25 PM

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dawn dagger because of it wouldn't be continous since for 0 < t < 1 f = 1, for t = 1/2 f = 1...

thats why we are taking the limit though no?

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if x is like 9999 it would be continuous

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but like barely yk

dawn dagger Apr 19, 2024, 12:25 PM

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depending on t you get different limit functions

dawn dagger Apr 19, 2024, 12:26 PM

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grand pond **The د**

that is actually a good idea, i guess

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to split the integral

lament fox Apr 19, 2024, 12:28 PM

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yeah?

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it works?

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I mean graphically it does

Capture_decran_2024-04-19_a_2.28.55_PM.png

dawn dagger Apr 19, 2024, 12:29 PM

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yea

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it should be uniformly convergent

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yea

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if you prove that additionally then you can pull in the limit operator and evaluate it like you did

grand pondBOT Apr 19, 2024, 12:32 PM

#

𝔸dωn𝓲²s

dawn dagger Apr 19, 2024, 12:32 PM

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We can do the proof for the first Integral together

lament fox Apr 19, 2024, 12:32 PM

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ok sure

lament fox Apr 19, 2024, 12:33 PM

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grand pond **𝔸dωn𝓲²s**

but I haven't been exposed to the notation you are using here

dawn dagger Apr 19, 2024, 12:33 PM

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lament fox but I haven't been exposed to the notation you are using here

oh

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can you tell me where you currently are math level wise

lament fox Apr 19, 2024, 12:34 PM

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i know calc 2

dawn dagger Apr 19, 2024, 12:34 PM

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oh

dawn dagger Apr 19, 2024, 12:34 PM

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lament fox $\lim_{x\to\infty}\int_{-\infty}^{\infty}\frac{1}{1+|t^x|}dt$

Is this all the information you got?

lament fox Apr 19, 2024, 12:35 PM

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dawn dagger Is this all the information you got?

it wasn't a question i was given, just something i thought about

dawn dagger Apr 19, 2024, 12:35 PM

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So that is your task?

lament fox Apr 19, 2024, 12:36 PM

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to understand unifrom convergence?

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sure

dawn dagger Apr 19, 2024, 12:36 PM

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Well we do that prove so you can justify pulling in the limit operator

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But that doesnt seem calc 2

dawn dagger Apr 19, 2024, 12:37 PM

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grand pond **The د**

But that should be the same as

$$\lim_{x\to\infty}\int_{-\infty}^{\infty}\frac{1}{1+|t^x|}\dd t = \lim_{x\to\infty}2\int_{0}^{\infty}\frac{1}{1+t^x}\dd t$$

grand pondBOT Apr 19, 2024, 12:38 PM

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𝔸dωn𝓲²s

dawn dagger Apr 19, 2024, 12:38 PM

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To make things easier

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So we actually have 2 cases

#

or 3 with t = 1

#

,,\norm{f_x(t) - f(t)}{\infty} = \sup{t \in (1, \infty)} \abs{\frac{1}{1+t^x} - 0}

grand pondBOT Apr 19, 2024, 12:41 PM

#

𝔸dωn𝓲²s

dawn dagger Apr 19, 2024, 12:46 PM

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We can actually estimate this up

#

but unformally convergence is no calc 2

#

level

midnight plankBOT Apr 19, 2024, 1:06 PM

#

@lament fox Has your question been resolved?

midnight plankBOT Apr 19, 2024, 1:36 PM

#

Channel closed

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midnight plankBOT Apr 19, 2024, 2:32 PM

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versed path Apr 19, 2024, 3:34 PM

#

Hi how to solve this limit without L'Hospital?

midnight plankBOT Apr 19, 2024, 3:34 PM

#

versed path Hi how to solve this limit without L'Hospital?

last slate Apr 19, 2024, 3:35 PM

#

versed path Hi how to solve this limit without L'Hospital?

Use L'Hopital

versed path Apr 19, 2024, 3:35 PM

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What did I say in the question

slender walrus Apr 19, 2024, 3:36 PM

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your factorisation of the denominator is incorrect

versed path Apr 19, 2024, 3:37 PM

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whoops

slender walrus Apr 19, 2024, 3:37 PM

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try factorising again

versed path Apr 19, 2024, 3:37 PM

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oh lmao sorry

#

missed that somehow

#

thanks

last slate Apr 19, 2024, 3:37 PM

#

versed path What did I say in the question

To not use L'HOSPITAL

versed path Apr 19, 2024, 3:37 PM

#

.close

midnight plankBOT Apr 19, 2024, 3:37 PM

#

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midnight plankBOT Apr 19, 2024, 3:52 PM

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errant onyx Apr 19, 2024, 4:01 PM

#

Can someone verify my answers? Here is the question: Consider the region R, which is enclosed by the graphs of x=y^2+2y+3, x=3y+5, and the vertical line x=6.

a) Find the area of R
b) Region R is the base of a solid. For the solid, at each x, the cross-section of the solid perpendicular to the x-axis is represented by F(x)=1/(x+2). Find the volume of the solid.
c) Write an integral expression that gives the volume of the solid generated when R is rotated about the horizontal line y=2.
Graph of the lines below

a) 8/3
b) ln(2)
c) (see photo below)

midnight plankBOT Apr 19, 2024, 4:01 PM

#

errant onyx Can someone verify my answers? Here is the question: Consider the region R, whic...

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Please don't occupy multiple help channels.

errant onyx Apr 19, 2024, 4:01 PM

#

#

heres my work

errant onyx Apr 19, 2024, 4:07 PM

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midnight plank

also about this i had just asked a question in another channel and i had closed it but then i immdiately opened this one so i think the server thought i was in two channels at once

#

.close

midnight plankBOT Apr 19, 2024, 4:17 PM

#

Channel closed

Closed by @errant onyx

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midnight plankBOT Apr 19, 2024, 4:32 PM

#

Available help channel!

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Remember:
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short cove Apr 19, 2024, 4:49 PM

#

can someone help me

midnight plankBOT Apr 19, 2024, 4:49 PM

#

short cove can someone help me

hexed elbow Apr 19, 2024, 4:52 PM

#

do you know how to find a general expression for the slope of a tangent of the given function

short cove Apr 19, 2024, 4:52 PM

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no but please give me answer and can u explain aftre this is due in 8 minutes

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please

#

i beg

#

explain to me after

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this is vey crucial

hexed elbow Apr 19, 2024, 4:52 PM

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i cant give u the ans rn causelike

flat spire Apr 19, 2024, 4:52 PM

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Is this a test?

hexed elbow Apr 19, 2024, 4:53 PM

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i dont have a working space

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thats y i wanted to explain\

#

if i explain it fast enough

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can u do the working urself

short cove Apr 19, 2024, 4:53 PM

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no its hw

#

yeah i can

#

i just need steps

hexed elbow Apr 19, 2024, 4:53 PM

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okay so to find the slope

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what do you normally do

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like if i know the point on the function where i wanna draw my tangent

#

how do i find the slope for that point's tangent

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just differentiate basically

short cove Apr 19, 2024, 4:55 PM

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ok

#

i did that

hexed elbow Apr 19, 2024, 4:56 PM

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now u need to find the maximum slope

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you have an expression for the slope ( dy/dx)

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let dy/dx be some other kinda function

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lets say its sum g(x)

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so how do i find the maximum value of g(x)?

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(you find the points where g'(x)=0 then perform the second derivative test)

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man

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at this pace

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idk if youll finish in 8 mins

short cove Apr 19, 2024, 5:01 PM

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its fine i got it

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thx tho

midnight plankBOT Apr 19, 2024, 5:16 PM

#

@short cove Has your question been resolved?

midnight plankBOT Apr 19, 2024, 5:31 PM

#

Channel closed

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autumn folio Apr 19, 2024, 5:33 PM

#

hi, need some help with finding the vertical asymptote
of the following function

WhatsApp_Image_2024-04-19_at_20.32.10.jpeg

midnight plankBOT Apr 19, 2024, 5:33 PM

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autumn folio hi, need some help with finding the vertical asymptote of the following function

autumn folio Apr 19, 2024, 5:36 PM

#

#

.close

midnight plankBOT Apr 19, 2024, 5:38 PM

#

Channel closed

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floral minnow Apr 19, 2024, 5:46 PM

#

can someone explain to me why this is wrong

midnight plankBOT Apr 19, 2024, 5:46 PM

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floral minnow can someone explain to me why this is wrong

floral minnow Apr 19, 2024, 5:46 PM

#

#

discrete math

#

<@&286206848099549185>

novel herald Apr 19, 2024, 6:03 PM

#

what does (x) mean

floral minnow Apr 19, 2024, 6:03 PM

#

wdym

#help-49

they mean they have 127 circles and 0.368 of a 1 cricle