#help-10 | Mathematics | Page 289

timid silo Nov 17, 2023, 5:33 PM

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xt + 4t?

tardy epoch Nov 17, 2023, 5:34 PM

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no

timid silo Nov 17, 2023, 5:34 PM

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...

tardy epoch Nov 17, 2023, 5:34 PM

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xt becomes x(x+4)

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because t=x+4

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so xt + t becomes ?

timid silo Nov 17, 2023, 5:34 PM

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it becames..

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hmm

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hmmmmm

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it becames xt + 4t..?

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I'm sorry if I'm dumb

tardy epoch Nov 17, 2023, 5:36 PM

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timid silo it becames xt + 4t..?

no

timid silo Nov 17, 2023, 5:36 PM

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..

tardy epoch Nov 17, 2023, 5:36 PM

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t seems to be tripping you up too much

timid silo Nov 17, 2023, 5:36 PM

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it is...

tardy epoch Nov 17, 2023, 5:36 PM

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(x+4)(x+1) = (x+4) * x + ?

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can you fill in the quesitonmark

timid silo Nov 17, 2023, 5:36 PM

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hmmm

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1!?

tardy epoch Nov 17, 2023, 5:38 PM

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no

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(x+4) * x + (x+4) * 1

timid silo Nov 17, 2023, 5:38 PM

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hmm

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I'm trying to wrap my head around this

tardy epoch Nov 17, 2023, 5:40 PM

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it's not different than

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

warm shaleBOT Nov 17, 2023, 5:40 PM

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riemann

tardy epoch Nov 17, 2023, 5:40 PM

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have you seen that before?

timid silo Nov 17, 2023, 5:40 PM

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YES

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I SEEN THAT..

tardy epoch Nov 17, 2023, 5:40 PM

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maybe it'd help to plug in some numbers for x and see the pattern

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try x=1 and x=2

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in here and

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in here

timid silo Nov 17, 2023, 5:41 PM

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I do the sum??

tardy epoch Nov 17, 2023, 5:41 PM

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1 * (1 + 4) + 1 + 4 = ?

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and (1 + 4) * (1 + 1) = ?

timid silo Nov 17, 2023, 5:42 PM

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$1 * (1 + 4) + 1 + 4$

warm shaleBOT Nov 17, 2023, 5:42 PM

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! Diva

timid silo Nov 17, 2023, 5:42 PM

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wait..

tardy epoch Nov 17, 2023, 5:42 PM

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i'm asking if you can calculate that as a single number

timid silo Nov 17, 2023, 5:42 PM

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it comes as

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$(1+4)(1+4)$

warm shaleBOT Nov 17, 2023, 5:43 PM

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! Diva

timid silo Nov 17, 2023, 5:43 PM

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right

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the result I mean

timid silo Nov 17, 2023, 5:43 PM

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warm shale **! Diva**

of this

timid silo Nov 17, 2023, 5:44 PM

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warm shale **! Diva**

cause u do the multiplacation and it comes as 1 + 4

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then the rest is also 1 + 4

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so then tis 1+4 1+4

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and it's double so

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oh wait

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nevamind..

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it's (1 + 4)^2

tardy epoch Nov 17, 2023, 5:48 PM

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warm shale **! Diva**

this is just 5 + 5

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which is 10

timid silo Nov 17, 2023, 5:48 PM

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OHHH

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youe eight

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yes it's 10..

tardy epoch Nov 17, 2023, 5:48 PM

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tardy epoch and (1 + 4) * (1 + 1) = ?

this one is 5 * 2 which is also 10

timid silo Nov 17, 2023, 5:49 PM

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o

tardy epoch Nov 17, 2023, 5:49 PM

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tardy epoch try x=1 and x=2

try x=2 now

timid silo Nov 17, 2023, 5:50 PM

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tardy epoch in here and

$2(2+4) +2 +4$

warm shaleBOT Nov 17, 2023, 5:50 PM

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! Diva

timid silo Nov 17, 2023, 5:50 PM

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soo

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22

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I THINK it's 22

tardy epoch Nov 17, 2023, 5:51 PM

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,calc 2 * (2+4) + 2 + 4

warm shaleBOT Nov 17, 2023, 5:51 PM

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Result:

tardy epoch Nov 17, 2023, 5:51 PM

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it usually helps to do smaller calculations first

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so like 2 + 4 = 6

tardy epoch Nov 17, 2023, 5:51 PM

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warm shale **! Diva**

so that equals
2 * (6) + 6

timid silo Nov 17, 2023, 5:51 PM

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I did

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2 + 4

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first

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I meanoo

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oops

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I mean I did 2 times 2 and 4 first

tardy epoch Nov 17, 2023, 5:52 PM

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ummm maybe this is a pemdas problem

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give this a skim
https://www.cuemath.com/numbers/pemdas/

timid silo Nov 17, 2023, 5:52 PM

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isn't it multiplication first..

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then.

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addition..

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OH

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Oh

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Oh

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OH

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PARENTHESIS

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SORRY

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I forgot about it

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that's 18.

timid silo Nov 17, 2023, 5:56 PM

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tardy epoch in here

this is.. 18 too..

tardy epoch Nov 17, 2023, 5:56 PM

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correct

timid silo Nov 17, 2023, 5:56 PM

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..

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I understand neow..

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But..

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BUT.

timid silo Nov 17, 2023, 5:56 PM

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tardy epoch in here

where did the x + 1 come from

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what I learnt is that u take the term and then

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like

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u take x + 4

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then u

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devide it

tardy epoch Nov 17, 2023, 5:57 PM

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warm shale **riemann**

a = x+4 and b = x and c = 1

timid silo Nov 17, 2023, 5:57 PM

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by x

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and then

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x + 4

tardy epoch Nov 17, 2023, 5:57 PM

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tardy epoch give this a skim <https://www.cuemath.com/numbers/pemdas/>

use pemdas

timid silo Nov 17, 2023, 5:59 PM

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$x+4(x+1) = x+4 * x + x + 4 * 1$

warm shaleBOT Nov 17, 2023, 5:59 PM

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! Diva

timid silo Nov 17, 2023, 6:00 PM

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I give up

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how to close..

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.close

obtuse pebbleBOT Nov 17, 2023, 6:04 PM

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Channel closed

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tardy epoch Nov 17, 2023, 6:04 PM

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timid silo $x+4(x+1) = x+4 * x + x + 4 * 1$

you're not using pemdas

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review that

obtuse pebbleBOT Nov 17, 2023, 6:05 PM

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wanton temple Nov 17, 2023, 6:06 PM

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Is there an easy way to find this’ tangent/derivative

obtuse pebbleBOT Nov 17, 2023, 6:06 PM

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wanton temple Is there an easy way to find this’ tangent/derivative

wanton temple Nov 17, 2023, 6:06 PM

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y = 2sin(Pi*x - y)

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at (1,0)

tardy epoch Nov 17, 2023, 6:09 PM

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easier than what?

empty cypress Nov 17, 2023, 6:10 PM

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kinda ugly derivative, but thats surely the best way

obtuse pebbleBOT Nov 17, 2023, 6:22 PM

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@wanton temple Has your question been resolved?

wanton temple Nov 17, 2023, 6:29 PM

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empty cypress kinda ugly derivative, but thats surely the best way

idk how to derivative this

tardy epoch Nov 17, 2023, 6:48 PM

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wanton temple idk how to derivative this

https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-2-new/ab-3-2/v/implicit-differentiation-1

obtuse pebbleBOT Nov 17, 2023, 6:59 PM

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@wanton temple Has your question been resolved?

obtuse pebbleBOT Nov 17, 2023, 7:29 PM

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final thunder Nov 17, 2023, 7:45 PM

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!15m

obtuse pebbleBOT Nov 17, 2023, 7:45 PM

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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.

final thunder Nov 17, 2023, 7:45 PM

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what have u tried

honest reef Nov 17, 2023, 7:46 PM

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what have you tried?

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is this statement even true bruh

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If the derivative tends to − ∞ as x approaches 0 from the right, it would suggest that the function is decreasing without bound as it approaches 0 from the right, so f(x) would be tending to − ∞

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@final thunder AM i Trolling

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I see, that's a good point

warm canopy Nov 17, 2023, 7:54 PM

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this example has the derivative approaching infinity but in your question its approaching -infinity

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oh but just take -lnx

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gotcha

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well what kind of tools do you have at your disposal

obtuse pebbleBOT Nov 17, 2023, 8:11 PM

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@hybrid steppe Has your question been resolved?

obtuse pebbleBOT Nov 17, 2023, 8:26 PM

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celest radish Nov 17, 2023, 8:28 PM

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Hello. I didn't quite understand how to solve these problems at class, could anyone explain the algorithm? Very appreciated. (You can use first task as an example)

obtuse pebbleBOT Nov 17, 2023, 8:28 PM

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celest radish Hello. I didn't quite understand how to solve these problems at class, could any...

celest radish Nov 17, 2023, 8:29 PM

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Also ping me when you're answering please.

obtuse pebbleBOT Nov 17, 2023, 8:47 PM

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@celest radish Has your question been resolved?

warm shaleBOT Nov 17, 2023, 9:01 PM

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Pure

final thunder Nov 17, 2023, 9:02 PM

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@celest radish

celest radish Nov 17, 2023, 9:06 PM

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Someone has already explained it in my dms, but still thanks!

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.close

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pale coral Nov 17, 2023, 9:29 PM

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<@&286206848099549185>

obtuse pebbleBOT Nov 17, 2023, 9:29 PM

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pale coral <@&286206848099549185>

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Please don't occupy multiple help channels.

pulsar quarry Nov 17, 2023, 9:29 PM

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!1c

obtuse pebbleBOT Nov 17, 2023, 9:29 PM

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Please stick to your channel.

pulsar quarry Nov 17, 2023, 9:29 PM

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!15m

obtuse pebbleBOT Nov 17, 2023, 9:29 PM

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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.

final thunder Nov 17, 2023, 9:29 PM

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.close

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final thunder Nov 17, 2023, 9:29 PM

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go to #help-7｜zen1thxyz

obtuse pebbleBOT Nov 17, 2023, 9:41 PM

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full oar Nov 17, 2023, 9:44 PM

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is the volume 481.76 or 4847.22

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because is the formula for volume, 1/3pi(r^2)(h) or pi*(r^2)(h/3)

obtuse pebbleBOT Nov 17, 2023, 9:49 PM

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full oar

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full oar Nov 17, 2023, 9:50 PM

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huh

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.close

obtuse pebbleBOT Nov 17, 2023, 11:03 PM

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obtuse pebbleBOT Nov 17, 2023, 11:20 PM

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timid silo Nov 17, 2023, 11:21 PM

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.clode

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.close

obtuse pebbleBOT Nov 17, 2023, 11:28 PM

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obtuse pebbleBOT Nov 17, 2023, 11:59 PM

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stone gorge Nov 18, 2023, 12:01 AM

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i need help with finding the domain for this

obtuse pebbleBOT Nov 18, 2023, 12:01 AM

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stone gorge i need help with finding the domain for this

thorny veldt Nov 18, 2023, 12:08 AM

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(0, Inf) is what im coming up with

stone gorge Nov 18, 2023, 12:12 AM

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i thought that as well

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its not correct

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<@&286206848099549185>

robust raven Nov 18, 2023, 12:31 AM

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x > 0 and 40 - x >0, then find intersection

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$x\in \left( 0,40 \right)$

warm shaleBOT Nov 18, 2023, 12:32 AM

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Joanna Angel

stone gorge Nov 18, 2023, 12:32 AM

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0<x<40?

robust raven Nov 18, 2023, 12:32 AM

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nods

stone gorge Nov 18, 2023, 12:33 AM

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?

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yes?

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alr thank you

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how would i go ab solving the domain for this?

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frank dome Nov 18, 2023, 12:34 AM

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the change of base thing could be helpful here

stone gorge Nov 18, 2023, 12:34 AM

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huh?

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how would i find the domain?

obtuse pebbleBOT Nov 18, 2023, 12:51 AM

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@stone gorge Has your question been resolved?

obtuse pebbleBOT Nov 18, 2023, 1:06 AM

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pure nacelle Nov 18, 2023, 1:16 AM

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obtuse pebbleBOT Nov 18, 2023, 1:16 AM

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pure nacelle

pure nacelle Nov 18, 2023, 1:17 AM

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I need someone to explain how in aN 0-1 is -t and 0- -1 =t

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I have no idea what is going on here

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like I understand everything up until aN is calculated

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<@&286206848099549185>

obtuse pebbleBOT Nov 18, 2023, 1:39 AM

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@pure nacelle Has your question been resolved?

pure nacelle Nov 18, 2023, 1:45 AM

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<@&286206848099549185>

obtuse pebbleBOT Nov 18, 2023, 2:15 AM

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@pure nacelle Has your question been resolved?

obtuse pebbleBOT Nov 18, 2023, 3:31 AM

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@pure nacelle Has your question been resolved?

pure nacelle Nov 18, 2023, 3:31 AM

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<@&286206848099549185>

obtuse pebbleBOT Nov 18, 2023, 5:22 AM

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obtuse pebbleBOT Nov 18, 2023, 6:15 AM

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oblique sun Nov 18, 2023, 6:23 AM

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obtuse pebbleBOT Nov 18, 2023, 6:23 AM

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oblique sun

oblique sun Nov 18, 2023, 6:23 AM

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Hello,

I tried to make a tangent, but I'm not sure if I made the intersections correctly and if overall it's right. Thank you very much for any advice and correction.

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The problem was that I could not cancel 2x + 6, and 2x+3 so it made it more difficult for me to find the intersections

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It’s the point 5 in the picture

obtuse pebbleBOT Nov 18, 2023, 6:39 AM

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@oblique sun Has your question been resolved?

obtuse pebbleBOT Nov 18, 2023, 7:19 AM

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@oblique sun Has your question been resolved?

atomic dust Nov 18, 2023, 7:54 AM

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what is the question

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i cant see a single thing

oblique sun Nov 18, 2023, 7:55 AM

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atomic dust what is the question

To draw a tangent

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To the function

atomic dust Nov 18, 2023, 8:11 AM

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well that depends

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do you have any questions in particular

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The tangent to the graph of a function y = f(x) at the point (a, f(a)) is the line that passes through the point with the same gradient.

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-thats what our teacher told us

oblique sun Nov 18, 2023, 8:15 AM

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atomic dust The tangent to the graph of a function y = f(x) at the point (a, f(a)) is the li...

Oh I see. So my function is y= x-1/2x+3

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Would you help me how to find the points so that I can graph it

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I did it this way..

atomic dust Nov 18, 2023, 8:16 AM

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i'm sick and my temp is like 39 degrees but i'll do my best

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😔

oblique sun Nov 18, 2023, 8:16 AM

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But I could not cancel 2x+6 and 2x+3

oblique sun Nov 18, 2023, 8:17 AM

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atomic dust i'm sick and my temp is like 39 degrees but i'll do my best

Oh I’m so sorry, that must be very uncomfortable. You should rest and not think of math

atomic dust Nov 18, 2023, 8:17 AM

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oblique sun Oh I’m so sorry, that must be very uncomfortable. You should rest and not think ...

haha all good i'd be happy to help

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thanks for your kindness

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do you know desmos btw?

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thats quite helpful

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to find a point you can find the x and y intercepts

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oh wait i think you did that

oblique sun Nov 18, 2023, 8:18 AM

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Like I used the rule yeah

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But usually then I can cancel it

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But in this one it’s different and it for me confused

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If that makes sense

atomic dust Nov 18, 2023, 8:21 AM

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ok so i got the x and y ints

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(1,0)

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(0, -1/3)

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have you learnt what a "normal" is ?

oblique sun Nov 18, 2023, 8:22 AM

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Not sure… how did you get (0,-1/3) please

atomic dust Nov 18, 2023, 8:23 AM

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oblique sun Oh I see. So my function is y= x-1/2x+3

oh i sub 0 into this equation

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i'm so sorry if thats not what you asked for

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also i think i might know how to find the tangent for a hyperbola

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y-b= -b/a(x-a)

oblique sun Nov 18, 2023, 8:25 AM

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atomic dust oh i sub 0 into this equation

Oh probably I understood now ..

atomic dust Nov 18, 2023, 8:25 AM

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i think a and b might be points not sure tho havent learnt that one very well

oblique sun Nov 18, 2023, 8:26 AM

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Thank you though a lot!!

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It did help

atomic dust Nov 18, 2023, 8:26 AM

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no worries

oblique sun Nov 18, 2023, 8:26 AM

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:)get well

atomic dust Nov 18, 2023, 8:26 AM

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did you still have any questions ?

oblique sun Nov 18, 2023, 8:26 AM

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No!

atomic dust Nov 18, 2023, 8:26 AM

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oblique sun :)get well

thank you so much

atomic dust Nov 18, 2023, 8:26 AM

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oblique sun No!

yay 😊 sotrue

oblique sun Nov 18, 2023, 8:26 AM

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Thank you!

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.end

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.close

obtuse pebbleBOT Nov 18, 2023, 8:26 AM

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mint nebula Nov 18, 2023, 8:39 AM

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Find rational numbers x and y for this ecuation

obtuse pebbleBOT Nov 18, 2023, 8:39 AM

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mint nebula Find rational numbers x and y for this ecuation

mint nebula Nov 18, 2023, 8:39 AM

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I'm kinda stuck, although I can see some similarities between x^2 + y^2 + 2x* sqrt(2) and (a+b)^2

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Although it's not quite

sour jacinth Nov 18, 2023, 8:41 AM

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Try making whole squares

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Do you know about the circle equation?

mint nebula Nov 18, 2023, 8:41 AM

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No, not really.

sour jacinth Nov 18, 2023, 8:41 AM

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Ok

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Try making something like (x-a)² +(y-b)²=c

mint nebula Nov 18, 2023, 8:42 AM

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Hm...

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I can't seem to be finding something like that

high lily Nov 18, 2023, 8:51 AM

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have you learned about completing the square?

obtuse pebbleBOT Nov 18, 2023, 9:04 AM

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@mint nebula Has your question been resolved?

mint nebula Nov 18, 2023, 9:07 AM

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high lily have you learned about completing the square?

Yes, I solved the exercise.

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Thank you anyways!

obtuse pebbleBOT Nov 18, 2023, 9:07 AM

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sacred anchor Nov 18, 2023, 9:24 AM

#

I'm reading Velleman's How to Prove It and came across a statement I don't understand. I'm reading this as "x is an element of the integers such that x equals itself" which seems universally true and I would have expected the truth set to be the integers. Is this a mistake in the book or am I missing something important?

obtuse pebbleBOT Nov 18, 2023, 9:24 AM

#

sacred anchor I'm reading Velleman's How to Prove It and came across a statement I don't under...

sacred anchor Nov 18, 2023, 9:24 AM

#

obtuse pebbleBOT Nov 18, 2023, 9:39 AM

#

@sacred anchor Has your question been resolved?

wary bobcat Nov 18, 2023, 9:47 AM

#

looks like a misprint

#

presumably they meant something like ${x\in\mathbb{Z}|x\ne x}$

warm shaleBOT Nov 18, 2023, 9:47 AM

#

bruhh

obtuse pebbleBOT Nov 18, 2023, 9:54 AM

#

Channel closed

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#

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dense geyser Nov 18, 2023, 9:56 AM

#

obtuse pebbleBOT Nov 18, 2023, 9:56 AM

#

dense geyser

dense geyser Nov 18, 2023, 9:56 AM

#

Find the range in which x lies

obtuse pebbleBOT Nov 18, 2023, 10:11 AM

#

@dense geyser Has your question been resolved?

dense geyser Nov 18, 2023, 10:26 AM

#

<@&286206848099549185>

dense geyser Nov 18, 2023, 10:41 AM

#

<@&286206848099549185>

austere panther Nov 18, 2023, 10:48 AM

#

@dense geyser So I do not exactly know how you get the solution for that manually, but using my Calculator I got thishttps://cdn.discordapp.com/attachments/758338411852857385/1175386995380469840/72199727301__949FCB7A-413A-49BB-9ECD-E7124464B615.mov?ex=656b0b71&is=65589671&hm=903dbb14452f8c82f4be9589cb5e1182009e8062b582c8a1ed1c78bd2b00268e&

▶ Play video

#

Dunno if that even helps at all

dense geyser Nov 18, 2023, 10:50 AM

#

austere panther <@820309181486989362> So I do not exactly know how you get the solution for that...

Thanks for that ,but i also want to know how you solve the question, i am waiting for help since almost an hour , thanks for responding

austere panther Nov 18, 2023, 10:50 AM

#

Yeah no worries, sorry I can not do any more :/

dense geyser Nov 18, 2023, 10:50 AM

#

Its ok

willow crater Nov 18, 2023, 11:00 AM

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@dense geyser

#

U open the bracket first

#

Hey?

dense geyser Nov 18, 2023, 11:15 AM

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Yes

dense geyser Nov 18, 2023, 11:15 AM

#

willow crater <@820309181486989362>

I tried

willow crater Nov 18, 2023, 11:19 AM

#

What did u try can u show?

#

! status

obtuse pebbleBOT Nov 18, 2023, 11:20 AM

#

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 was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

dense geyser Nov 18, 2023, 11:25 AM

#

obtuse pebble ``` What step are you on? 1. I don't know where to begin. 2. I have begun but go...

2

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2 @willow crater

willow crater Nov 18, 2023, 11:26 AM

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can u show what step u reached on paper or type it?

dense geyser Nov 18, 2023, 11:26 AM

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Ok

#

rn_image_picker_lib_temp_ba3b22aa-7650-440e-a485-bda9da42fe8c.jpg

#

@willow crater

true summit Nov 18, 2023, 11:41 AM

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yo

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this implies 0.3?

dense geyser Nov 18, 2023, 11:41 AM

#

true summit yo

Yo

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Yes

#

0.3 is 3/10

true summit Nov 18, 2023, 11:42 AM

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did you take it to lhs

dense geyser Nov 18, 2023, 11:42 AM

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Yes

true summit Nov 18, 2023, 11:42 AM

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1 sec

#

lemme try myself

#

then giving suggestions would be better

dense geyser Nov 18, 2023, 11:43 AM

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Yes

willow crater Nov 18, 2023, 11:43 AM

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Factorizing the cubic there is the real Problem

dense geyser Nov 18, 2023, 11:43 AM

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Yes

willow crater Nov 18, 2023, 11:44 AM

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Is calculator allowed?

cinder lintel Nov 18, 2023, 11:44 AM

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Cubic?

dense geyser Nov 18, 2023, 11:44 AM

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No

cinder lintel Nov 18, 2023, 11:44 AM

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Just factor the x²-3x-4

#

And cancel x-1

dense geyser Nov 18, 2023, 11:45 AM

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What

cinder lintel Nov 18, 2023, 11:45 AM

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dense geyser

This is the q right

dense geyser Nov 18, 2023, 11:45 AM

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Yes

#

Let me give it a shot

cinder lintel Nov 18, 2023, 11:46 AM

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Factor the denominator

true summit Nov 18, 2023, 11:46 AM

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not helping

#

nothing is cancelling

#

wait lemme check i think i did calc wrong

cinder lintel Nov 18, 2023, 11:47 AM

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It is cancelling

#

If i didnt fsctor wrong

true summit Nov 18, 2023, 11:47 AM

#

hast did you get?

cinder lintel Nov 18, 2023, 11:47 AM

#

I did infact factor wronf

true summit Nov 18, 2023, 11:47 AM

#

i got x-4, x+ 1

dense geyser Nov 18, 2023, 11:47 AM

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Yes

#

Same

cinder lintel Nov 18, 2023, 11:47 AM

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Ye

true summit Nov 18, 2023, 11:47 AM

#

numerator is x-1 , x-1 , x-2

dense geyser Nov 18, 2023, 11:48 AM

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X+2

true summit Nov 18, 2023, 11:48 AM

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oof i think gotta introduce 0.3

dense geyser Nov 18, 2023, 11:48 AM

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Not x-2

true summit Nov 18, 2023, 11:48 AM

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wasnt x-2 given?

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oh mb eyes

#

its x+2

willow crater Nov 18, 2023, 11:48 AM

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Thats just before we made rhs 0

dense geyser Nov 18, 2023, 11:48 AM

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Yes

willow crater Nov 18, 2023, 11:49 AM

#

We gotta find what happens after all the lcm stuff

true summit Nov 18, 2023, 11:49 AM

#

yeah

dense geyser Nov 18, 2023, 11:49 AM

#

Can you find 0 of the polynomial

dense geyser Nov 18, 2023, 11:49 AM

#

dense geyser

This

willow crater Nov 18, 2023, 11:49 AM

#

dense geyser

do u think u did everything here right?

true summit Nov 18, 2023, 11:49 AM

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gotta simplify

#

imma try to do that ig

dense geyser Nov 18, 2023, 11:50 AM

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willow crater do u think u did everything here right?

I got same answer a few times now

#

Im very sure its cprrect

#

Correct

willow crater Nov 18, 2023, 11:51 AM

#

10x3+3x2-39x+8

#

?

dense geyser Nov 18, 2023, 11:51 AM

#

Yes

willow crater Nov 18, 2023, 11:51 AM

#

Ok

cinder lintel Nov 18, 2023, 11:51 AM

#

Should be a 10 in the denominator isnt it

dense geyser Nov 18, 2023, 11:52 AM

#

If we multiply both sides by 10

#

It cancels out

cinder lintel Nov 18, 2023, 11:52 AM

#

Eh true

willow crater Nov 18, 2023, 11:54 AM

#

the zeroes of the numerator on calc are not simple

dense geyser Nov 18, 2023, 11:54 AM

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What are they

true summit Nov 18, 2023, 11:54 AM

#

does x = 4 satisfy the numerator?

willow crater Nov 18, 2023, 11:54 AM

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Nope

true summit Nov 18, 2023, 11:54 AM

#

nvm

#

this shouldnt be this then we doing something unnessary

#

you sure thats 0.3..

dense geyser Nov 18, 2023, 11:55 AM

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Yes

true summit Nov 18, 2023, 11:55 AM

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cool

dense geyser Nov 18, 2023, 11:55 AM

#

Its in book

true summit Nov 18, 2023, 11:55 AM

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ofc

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and we have to find range and not domain.

dense geyser Nov 18, 2023, 11:56 AM

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Yes

true summit Nov 18, 2023, 11:56 AM

#

cool

willow crater Nov 18, 2023, 11:57 AM

#

whats the soln

#

i mean answer

dense geyser Nov 18, 2023, 11:59 AM

#

(- Infinity,-2) U (-1,4)

true summit Nov 18, 2023, 11:59 AM

#

wow.

dense geyser Nov 18, 2023, 11:59 AM

#

It might be wrong because there are many wrong answers in book

bright moth Nov 18, 2023, 11:59 AM

#

cinder lintel Eh true

🙏

true summit Nov 18, 2023, 12:01 PM

#

dense geyser (- Infinity,-2) U (-1,4)

that is the answer when rhs is 0

#

and not 0.3

willow crater Nov 18, 2023, 12:02 PM

#

What is the name of this book

true summit Nov 18, 2023, 12:02 PM

#

thats crazy

#

i smell missprint perhaps?

willow crater Nov 18, 2023, 12:03 PM

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if rhs is 0 then -2 should be included in range

#

not excluded

true summit Nov 18, 2023, 12:03 PM

#

true missed that

willow crater Nov 18, 2023, 12:03 PM

#

this is a scam question

true summit Nov 18, 2023, 12:03 PM

#

lmao

cinder lintel Nov 18, 2023, 12:03 PM

#

💀

true summit Nov 18, 2023, 12:03 PM

#

na but like crazy cubic in range

#

hella fishy

willow crater Nov 18, 2023, 12:04 PM

#

Its purpose is to waste our time

#

bye

true summit Nov 18, 2023, 12:04 PM

#

it feels wrong

#

compedition breaker

dense geyser Nov 18, 2023, 12:05 PM

#

No

#

No

true summit Nov 18, 2023, 12:05 PM

#

?

dense geyser Nov 18, 2023, 12:05 PM

#

Its lokmat kaun banega ramanujan

#

Its a competition preparation booklet

true summit Nov 18, 2023, 12:06 PM

#

thats the name?

dense geyser Nov 18, 2023, 12:06 PM

#

Yes

#

Its not available online

true summit Nov 18, 2023, 12:06 PM

#

"lomat kaun banega ramnujan"

dense geyser Nov 18, 2023, 12:06 PM

#

Yes

true summit Nov 18, 2023, 12:06 PM

#

cool.

dense geyser Nov 18, 2023, 12:07 PM

#

willow crater Its purpose is to waste our time

I think he is right

#

They might have put these questions on purpose

true summit Nov 18, 2023, 12:07 PM

#

na man ask your teacher

dense geyser Nov 18, 2023, 12:07 PM

#

To waste the participants time and trick them

true summit Nov 18, 2023, 12:07 PM

#

something feels wrong

dense geyser Nov 18, 2023, 12:08 PM

#

I am not going to get trapped

true summit Nov 18, 2023, 12:08 PM

#

..

dense geyser Nov 18, 2023, 12:08 PM

#

Ok my time is wasted anyway

#

Ill ask my teacher too

#

And waste his time

#

Hehe

#

I should leave this channel open to see if anyone knows how to solve it if it can be

willow crater Nov 18, 2023, 12:10 PM

#

dense geyser I should leave this channel open to see if anyone knows how to solve it if it ca...

U shouldn't

dense geyser Nov 18, 2023, 12:15 PM

#

Ok

#

.close

obtuse pebbleBOT Nov 18, 2023, 12:15 PM

#

Channel closed

Closed by @dense geyser

Use .reopen if this was a mistake.

#

Available help channel!

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• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
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• Be polite and have a nice day!

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swift bloom Nov 18, 2023, 12:27 PM

#

obtuse pebbleBOT Nov 18, 2023, 12:27 PM

#

swift bloom

swift bloom Nov 18, 2023, 12:27 PM

#

ive expanded the brackets

#

im at

#

y^2 + a^2 + 2ay = y^2 + 10y + b

#

now what

frigid harness Nov 18, 2023, 12:29 PM

#

you can compare coefficients

swift bloom Nov 18, 2023, 12:29 PM

#

thats what i struggle to understand 😭

#

coefficients and constants

frigid harness Nov 18, 2023, 12:29 PM

#

swift bloom y^2 + a^2 + 2ay = y^2 + 10y + b

rearrange this to get y^2 + 2ay + a^2 = y^2 + 10y + b

#

and notice they are equal

#

so we can say that 2a = 10

#

as both are coefficients of y

swift bloom Nov 18, 2023, 12:29 PM

#

yh

#

a = 5

frigid harness Nov 18, 2023, 12:30 PM

#

yes

swift bloom Nov 18, 2023, 12:30 PM

#

then how do i get b

frigid harness Nov 18, 2023, 12:30 PM

#

now can you notice anything else about how a and b are related?

swift bloom Nov 18, 2023, 12:30 PM

#

both positive integers?

frigid harness Nov 18, 2023, 12:30 PM

#

what else

swift bloom Nov 18, 2023, 12:30 PM

#

erm

frigid harness Nov 18, 2023, 12:31 PM

#

note for a we did:
2ay = 10y
2a = 10
a=5

we can do something similar for a and b

swift bloom Nov 18, 2023, 12:31 PM

#

a^2 = b?

frigid harness Nov 18, 2023, 12:31 PM

#

yes

swift bloom Nov 18, 2023, 12:31 PM

#

oh so b = 25

frigid harness Nov 18, 2023, 12:31 PM

#

yes

swift bloom Nov 18, 2023, 12:31 PM

#

and the y^2 cancels each other out

#

right?

frigid harness Nov 18, 2023, 12:32 PM

#

yes, but you don't really have to think much of that

#

I suggest you watch some videos about comparing coefficients to understand it better

swift bloom Nov 18, 2023, 12:32 PM

#

boss

#

ive ran into another problem

#

its not right

frigid harness Nov 18, 2023, 12:32 PM

#

oh we forgot to subtract 4 for b

#

so b should be 21

swift bloom Nov 18, 2023, 12:33 PM

#

ohhh

#

thanks

#

,close

#

.close

obtuse pebbleBOT Nov 18, 2023, 12:33 PM

#

Channel closed

Closed by @swift bloom

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obtuse pebbleBOT Nov 18, 2023, 1:02 PM

#

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crude mountain Nov 18, 2023, 1:13 PM

#

Hii, i need help with this. I found that triangle ABC is similar to DEC but i can’t continue.

obtuse pebbleBOT Nov 18, 2023, 1:13 PM

#

crude mountain Hii, i need help with this. I found that triangle ABC is similar to DEC but i ca...

obtuse pebbleBOT Nov 18, 2023, 1:30 PM

#

@crude mountain Has your question been resolved?

glossy yacht Nov 18, 2023, 1:34 PM

#

what's $$\int 2x dX$$

warm shaleBOT Nov 18, 2023, 1:34 PM

#

Xetrov

timid silo Nov 18, 2023, 1:34 PM

#

x^2

drifting roost Nov 18, 2023, 1:37 PM

#

#❓how-to-get-help @glossy yacht

obtuse pebbleBOT Nov 18, 2023, 1:37 PM

#

Someone else is already using this help channel. If you need help with a question, please open your own help channel/thread (see #❓how-to-get-help for instructions).

glossy yacht Nov 18, 2023, 1:40 PM

#

drifting roost <#488120190538743810> <@372790660757192704>

oops it didn't load, mb

crude mountain Nov 18, 2023, 1:41 PM

#

crude mountain Hii, i need help with this. I found that triangle ABC is similar to DEC but i ca...

can someone help me please? <@&286206848099549185>

indigo oyster Nov 18, 2023, 1:46 PM

#

crude mountain can someone help me please? <@&286206848099549185>

ABC is isoscel EF is 8 about 30 theoreme and CF=EF-CF=4
CF=4

crude mountain Nov 18, 2023, 1:49 PM

#

can you please explain the part where you get EF=8

indigo oyster Nov 18, 2023, 1:51 PM

#

crude mountain can you please explain the part where you get EF=8

Useing theoreme 30

#

Wait to transalte whit goolge transalte upcoming parts im not know good english

#

Using the 30 degree theorem yielded that it is 8 because we know that the cathet opposite the hypotenuse is half of the hypotenuse

crude mountain Nov 18, 2023, 2:00 PM

#

Yes i understand that but im still confused on how we know it is a 30-60-90 triangle because I used the similarity rule and found a few same angles and sides and DE resulted 6 cm because I found that triangle DEC is isosceles too but Im not sure how correct I am.

crude mountain Nov 18, 2023, 2:25 PM

#

@indigo oyster

obtuse pebbleBOT Nov 18, 2023, 2:55 PM

#

@crude mountain Has your question been resolved?

obtuse pebbleBOT Nov 18, 2023, 3:25 PM

#

Channel closed

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brave juniper Nov 18, 2023, 3:35 PM

#

obtuse pebbleBOT Nov 18, 2023, 3:35 PM

#

brave juniper

#

Please don't occupy multiple help channels.

rich plume Nov 18, 2023, 3:42 PM

#

brave juniper

construct a radius such that it touches the point of tangency

robust raven Nov 18, 2023, 3:49 PM

#

Let F be the middle of the AB, then due to Pithagor , FD can be computed, and let G be the common poinf of FD and semicircle AB, etc. that is a plan of solution

obtuse pebbleBOT Nov 18, 2023, 3:54 PM

#

@brave juniper Has your question been resolved?

obtuse pebbleBOT Nov 18, 2023, 4:09 PM

#

Channel closed

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timid silo Nov 18, 2023, 4:21 PM

#

obtuse pebbleBOT Nov 18, 2023, 4:21 PM

#

timid silo

timid silo Nov 18, 2023, 4:21 PM

#

How?

#

Why is there a 4 on top?

#

I know the bottom it's multiplying

#

The top shouldn't have an S?

final thunder Nov 18, 2023, 4:23 PM

#

okay my student's apprentice is here

pulsar quarry Nov 18, 2023, 4:23 PM

#

nah im not

final thunder Nov 18, 2023, 4:23 PM

#

ur time to shine help xigma bro

final thunder Nov 18, 2023, 4:24 PM

#

timid silo

well basically u know how when we add fractions you need a common denominator

timid silo Nov 18, 2023, 4:24 PM

#

Nvm

#

I understood it

final thunder Nov 18, 2023, 4:24 PM

#

well done

timid silo Nov 18, 2023, 4:24 PM

#

I just bugged a bit

#

Thanks

#

.close

obtuse pebbleBOT Nov 18, 2023, 4:24 PM

#

Channel closed

Closed by @jaunty kite

Use .reopen if this was a mistake.

final thunder Nov 18, 2023, 4:24 PM

#

catthumbsup

obtuse pebbleBOT Nov 18, 2023, 4:32 PM

#

Available help channel!

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Remember:
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full oar Nov 18, 2023, 4:35 PM

#

obtuse pebbleBOT Nov 18, 2023, 4:35 PM

#

full oar

full oar Nov 18, 2023, 4:35 PM

#

Find the volume

#

idk what the formula is or how to start

obtuse pebbleBOT Nov 18, 2023, 4:50 PM

#

@full oar Has your question been resolved?

full oar Nov 18, 2023, 4:57 PM

#

<@&286206848099549185>

civic socket Nov 18, 2023, 5:07 PM

#

full oar idk what the formula is or how to start

[V=\frac{1}{3} \times \text{base area} \times \text{height}]

warm shaleBOT Nov 18, 2023, 5:07 PM

#

Akira (fumo)

full oar Nov 18, 2023, 5:07 PM

#

ohh

full oar Nov 18, 2023, 5:07 PM

#

civic socket \[V=\frac{1}{3} \times \text{base area} \times \text{height}\]

does (base area * height)/3 work

civic socket Nov 18, 2023, 5:08 PM

#

yes

full oar Nov 18, 2023, 5:13 PM

#

civic socket yes

.close

obtuse pebbleBOT Nov 18, 2023, 5:13 PM

#

Channel closed

Closed by @full oar

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Available help channel!

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high stag Nov 18, 2023, 5:19 PM

#

can someone help me with understanding the proof? I can translate if necessary

obtuse pebbleBOT Nov 18, 2023, 5:19 PM

#

high stag can someone help me with understanding the proof? I can translate if necessary

high stag Nov 18, 2023, 5:19 PM

#

spur(A) is the same as tr(A)

#

whenever i calculate this my result is n-1 = tr(A) for t going to 0 but that doesnt seem right

versed pier Nov 18, 2023, 5:22 PM

#

high stag can someone help me with understanding the proof? I can translate if necessary

you would need to translate

#

the only german word I know is eigen 😭

high stag Nov 18, 2023, 5:24 PM

#

ok so we have the function of the determinant and it is to show that the uniform Matrix I_n (the one with only ones on the main diagonal) and some random Matrix A if u calculate the differential quotient of the determinant funktion in respect to A gives you the trace tr(A).Is that understandable?

#

They give us the hint that th characteristic polynomial might be useful here but i dont see a way how i can implement that here :/

robust raven Nov 18, 2023, 5:25 PM

#

you want to prove the another formula for the trace of the matrix, it is clear

high stag Nov 18, 2023, 5:25 PM

#

robust raven you want to prove the another formula for the trace of the matrix, it is clear

how do u mean that i didnt fully i understand i think

robust raven Nov 18, 2023, 5:26 PM

#

high stag how do u mean that i didnt fully i understand i think

I just only confirmed that your theorem is clear

high stag Nov 18, 2023, 5:27 PM

#

ah okay yes so basically the equality of the main statement dA(I_n)=...=tr(A) is to prove yea

robust raven Nov 18, 2023, 5:27 PM

#

🙂

#

$detA=\prod_{i}^{}\lambda_{i}$

warm shaleBOT Nov 18, 2023, 5:31 PM

#

Joanna Angel

robust raven Nov 18, 2023, 5:31 PM

#

lambdas are eigen values

#

and also

#

$trA=\sum_{i}^{}\lambda_{i}$

warm shaleBOT Nov 18, 2023, 5:32 PM

#

Joanna Angel

robust raven Nov 18, 2023, 5:32 PM

#

those are hints

high stag Nov 18, 2023, 5:33 PM

#

okay thank you verymuch i will try this rn

#

but i always get sth wrong out of it

#

how can i use the eigenvalues correctly maybe im doing it wrong?

#

cause det(tA+I_n) would just be t^n * the product of th eigenvalues + n or am i wrong?

#

and for the limit if t goes to 0 then 0*product of eigenvalues cancels out and we are just there with n for the tr(A)

robust raven Nov 18, 2023, 5:38 PM

#

have you heard, in matrix calculs, about Jacobi's formula ?

high stag Nov 18, 2023, 5:39 PM

#

we havent had that :/

robust raven Nov 18, 2023, 5:40 PM

#

the formula you need to prove is the another form of this Jacobi's formula

high stag Nov 18, 2023, 5:42 PM

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oh okay, i see i googled it, i will try this over the next few days then and come back if this doesnt work out thank you very much 🙂

robust raven Nov 18, 2023, 5:42 PM

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yes sure, i do not want totake a satisfaction from you )

#

it is worth to work on it )

high stag Nov 18, 2023, 5:42 PM

#

nice xd have a great day ^^

#

.close

obtuse pebbleBOT Nov 18, 2023, 5:42 PM

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woeful portal Nov 18, 2023, 5:45 PM

#

true or false

obtuse pebbleBOT Nov 18, 2023, 5:46 PM

#

woeful portal true or false

woeful portal Nov 18, 2023, 5:46 PM

#

#

can this be done?

warm canopy Nov 18, 2023, 5:46 PM

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Yeah that's fine

woeful portal Nov 18, 2023, 5:47 PM

#

warm canopy Yeah that's fine

so thats the proof?

#

ty

#

what about the f is homogenous of 3rd degree

#

ignore it

warm canopy Nov 18, 2023, 5:48 PM

#

Seems like you don't need it

woeful portal Nov 18, 2023, 5:48 PM

#

thx

#

.close

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obtuse pebbleBOT Nov 18, 2023, 6:36 PM

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timid silo Nov 18, 2023, 6:50 PM

#

Can somebody help me with this proof? i kinda have no idea how to do it, i tried just writing everything with epsilon N definition by it didn't led me to anything.

Sequence $a_n$ where $a_n \neq 0$ fulfills the condition that $\lim{n\to\infty} |\frac{a_{n+1}}{a_n}}| = q$ where q < 1. Show that $\lim{n\to\infty} a_n = 0$

obtuse pebbleBOT Nov 18, 2023, 6:50 PM

#

timid silo Can somebody help me with this proof? i kinda have no idea how to do it, i tried...

warm shaleBOT Nov 18, 2023, 6:50 PM

#

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

obtuse pebbleBOT Nov 18, 2023, 7:05 PM

#

@timid silo Has your question been resolved?

obtuse pebbleBOT Nov 18, 2023, 7:36 PM

#

@timid silo Has your question been resolved?

obtuse pebbleBOT Nov 18, 2023, 8:37 PM

#

@timid silo Has your question been resolved?

obtuse pebbleBOT Nov 18, 2023, 10:37 PM

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@timid silo Has your question been resolved?

robust raven Nov 18, 2023, 10:54 PM

#

as a hint please read the proof of d'Alemebert criterion fo rserieses

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delicate estuary Nov 19, 2023, 12:47 AM

#

obtuse pebbleBOT Nov 19, 2023, 12:47 AM

#

delicate estuary

delicate estuary Nov 19, 2023, 12:48 AM

#

I'm reviewing my notes right now and I came across this question. Does anyone know what type of limit this is called?

#

I know how to solve it though

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.close

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limpid plume Nov 19, 2023, 1:02 AM

#

Hi,

obtuse pebbleBOT Nov 19, 2023, 1:02 AM

#

limpid plume Hi,

limpid plume Nov 19, 2023, 1:04 AM

#

I need to create a word problem to give the reader enough information to formulate two quadratic equations, in order to find their intersection points.

y = x^2 - 6x + 11
y = -x^2 + 4x + 3

The first equation represents an investment prediction on the stock market, with x being time in months and y being yield in %. The second equation represents Certificate of Deposite (CD) predictions, with the same variables. They intersect at points (1,6) and (4,3) and the reader needs to set up the equations and then figure out when they produce the same amount of yield percentage. Can anyone help me with setting up the word problem to give hints? This is what I have so far:

#

Pythagoras, a Stock investor, and Euclid, a Certificate of Deposit (CD) investor decided to use AI to predict the future of their preferred markets.

#

Also, here's an example of a word problem for a circle equation and a linear equation intersecting with the same concept of setting up and solving.

Mateo runs straight through the circular path of a sprinkler in a game to avoid getting wet. The path of the sprinkler has a radius of 5 ft from its head. If he first enters the path of the circle at a point 1 ft to the west and 8 ft to the south of the sprinkler heads and exits the path at 4 ft to the east and 7 ft north of the sprinkler head, what system of equations would model the paths of Mateo and the sprinkler? When will he cross the sprinkler's path?

#

Ping me if you can help.

#

No it's not

#

It's y = x^2-6x+11 and y = -x^2+4x+3

#

I made the equations

#

#

#

Whoever can help please ping me.

#

I just need help setting up a word problem.

slim cove Nov 19, 2023, 1:18 AM

#

Please don't interrupt other people's help channels if you're not helping.

obtuse pebbleBOT Nov 19, 2023, 1:33 AM

#

@limpid plume Has your question been resolved?

obtuse pebbleBOT Nov 19, 2023, 2:11 AM

#

@limpid plume Has your question been resolved?

limpid plume Nov 19, 2023, 2:15 AM

#

Should I just give 3 points for each parabola and then call it a day?

#

For the word problem

#

But then the user has to do that for each parabola

obtuse pebbleBOT Nov 19, 2023, 3:15 AM

#

@limpid plume Has your question been resolved?

limpid plume Nov 19, 2023, 4:15 AM

#

.close

obtuse pebbleBOT Nov 19, 2023, 4:15 AM

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neon pecan Nov 19, 2023, 4:26 AM

#

Would it be possible to set this up as a definite integral from 2 to 1. My friend did this method but i did a indefinite integral and solved in terms of C

obtuse pebbleBOT Nov 19, 2023, 4:26 AM

#

neon pecan Would it be possible to set this up as a definite integral from 2 to 1. My frien...

shut lagoon Nov 19, 2023, 4:28 AM

#

f(2)-f(1) = int f'(x) dx from 1 to 2 (using FTC).

#

Then you can solve for f(1)

#

You'll end up doing the same operations though so I feel like both methods are fine.

neon pecan Nov 19, 2023, 4:30 AM

#

Okay then thanks

#

.close

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hot mango Nov 19, 2023, 4:47 AM

#

how do i solve: which line is parallel to y-3x=-4

obtuse pebbleBOT Nov 19, 2023, 4:47 AM

#

hot mango how do i solve: which line is parallel to y-3x=-4

hot mango Nov 19, 2023, 4:47 AM

#

high lily Nov 19, 2023, 4:48 AM

#

convert the given line to slope-intercept form to identify its slope

hot mango Nov 19, 2023, 4:49 AM

#

what is slope intercept form?

timid silo Nov 19, 2023, 4:49 AM

#

Fr

high lily Nov 19, 2023, 4:49 AM

#

y = mx + b

hot mango Nov 19, 2023, 4:49 AM

#

oh am i meant to rearange this equation?

high lily Nov 19, 2023, 4:49 AM

#

solve for y

timid silo Nov 19, 2023, 4:49 AM

#

U don’t need to solve for y

high lily Nov 19, 2023, 4:50 AM

#

doing algebraic manipulation

#

!occupied

obtuse pebbleBOT Nov 19, 2023, 4:50 AM

#

Someone else is already using this help channel. If you need help with a question, please open your own help channel/thread (see #❓how-to-get-help for instructions).

hot mango Nov 19, 2023, 4:50 AM

#

so am i meant to get y on its own?

high lily Nov 19, 2023, 4:50 AM

#

yes

timid silo Nov 19, 2023, 4:50 AM

#

Yeah just don’t solve for it

hot mango Nov 19, 2023, 4:50 AM

#

so i add 3x

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and do it on the other side?

high lily Nov 19, 2023, 4:50 AM

#

the result of getting y on its own will give you the slope-intercept form equation

#

yeh, you add 3x to both sides in the same step

hot mango Nov 19, 2023, 4:51 AM

#

so this give me y=-4+3x?

high lily Nov 19, 2023, 4:51 AM

#

first step would be claiming your own personal channel (following directions above instead of invading someone elses channel)

high lily Nov 19, 2023, 4:51 AM

#

hot mango so this give me y=-4+3x?

yeh
can you identify the slope from that?

hot mango Nov 19, 2023, 4:51 AM

#

oh yes

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gradient is 3 and y intercept is -4

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is that correct?

high lily Nov 19, 2023, 4:52 AM

#

yeh

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<@&268886789983436800> (z monster was being intrusive with annoying gifs, deleted now)

hot mango Nov 19, 2023, 4:52 AM

#

thanks

#

.close

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fringe quest Nov 19, 2023, 4:59 AM

#

are we squaring both sides on the first step to cancel out the square root operation?

obtuse pebbleBOT Nov 19, 2023, 4:59 AM

#

fringe quest are we squaring both sides on the first step to cancel out the square root opera...

outer needle Nov 19, 2023, 5:00 AM

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looks like it yes

fringe quest Nov 19, 2023, 5:00 AM

#

ok ty, just wanted to make sure there wasent more to it

#

.close

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harsh remnant Nov 19, 2023, 5:17 AM

#

Hello

obtuse pebbleBOT Nov 19, 2023, 5:17 AM

#

harsh remnant Hello

harsh remnant Nov 19, 2023, 5:17 AM

#

#

What did I do wrong here?

#

For which integral?

robust raven Nov 19, 2023, 5:20 AM

#

second, i jst write this formula in diff way, i mean symbols

harsh remnant Nov 19, 2023, 5:21 AM

#

How should I fix it?

robust raven Nov 19, 2023, 5:21 AM

#

you know that ln e = 1 ?

harsh remnant Nov 19, 2023, 5:21 AM

#

Yes

robust raven Nov 19, 2023, 5:22 AM

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on right side

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-e + 1

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beucase you have - (e - 1)

harsh remnant Nov 19, 2023, 5:24 AM

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Oh wait

#

I see

robust raven Nov 19, 2023, 5:24 AM

#

so finally you get =

#

e - 2

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but all is very well

harsh remnant Nov 19, 2023, 5:25 AM

#

Thank you so much 🙂

robust raven Nov 19, 2023, 5:25 AM

#

when i use trick with function 1, i callit as g' = 1

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haha so that was my eventual concern

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but you can name it as you wish

#

🙂

harsh remnant Nov 19, 2023, 5:26 AM

#

xD

#

.close

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oak knot Nov 19, 2023, 5:28 AM

#

obtuse pebbleBOT Nov 19, 2023, 5:28 AM

#

oak knot

oak knot Nov 19, 2023, 5:28 AM

#

hi can someone please help me find the error

#

supposedly the answer is

#

ive been staring at it for ages now

empty cypress Nov 19, 2023, 5:30 AM

#

oak knot hi can someone please help me find the error

your answer is right

timid silo Nov 19, 2023, 5:30 AM

#

literally teh same thing

empty cypress Nov 19, 2023, 5:30 AM

#

yeah simplify the supposed answer and you get yours 👍

oak knot Nov 19, 2023, 5:30 AM

#

Bro no way 😭 im terrible at this

#

THANK YOU

#

all

#

.close

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verbal bane Nov 19, 2023, 5:45 AM

#

Need help with this

obtuse pebbleBOT Nov 19, 2023, 5:45 AM

#

verbal bane Need help with this

empty cypress Nov 19, 2023, 5:46 AM

#

verbal bane Need help with this

!status

obtuse pebbleBOT Nov 19, 2023, 5:46 AM

#

verbal bane Need help with this

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 was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

verbal bane Nov 19, 2023, 5:46 AM

#

3

empty cypress Nov 19, 2023, 5:47 AM

#

which answer, and what did you get

#

and show your work, if available

verbal bane Nov 19, 2023, 5:49 AM

#

a) [pi/2,pi]

empty cypress Nov 19, 2023, 6:00 AM

#

verbal bane a) [pi/2,pi]

note that it says less than, not less than or equal to

#

cos(pi/2) is 0, which is not less than 0

verbal bane Nov 19, 2023, 6:02 AM

#

So (pi/2,pi)?

empty cypress Nov 19, 2023, 6:07 AM

#

verbal bane So (pi/2,pi)?

looks better to me

verbal bane Nov 19, 2023, 6:09 AM

#

Cool

#

.Close

#

.close

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#

Channel closed

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swift latch Nov 19, 2023, 6:11 AM

#

How would we do part c? We have the answer 200/ w(w+1) but we dont get why there are two widths

obtuse pebbleBOT Nov 19, 2023, 6:11 AM

#

swift latch How would we do part c? We have the answer 200/ w(w+1) but we dont get why there...

shut lagoon Nov 19, 2023, 6:14 AM

#

What is the initial length of the board?

swift latch Nov 19, 2023, 6:15 AM

#

200/w

shut lagoon Nov 19, 2023, 6:15 AM

#

Good

#

Now it you add 1 to the width

#

What is the new length?

swift latch Nov 19, 2023, 6:15 AM

#

200/w+1

shut lagoon Nov 19, 2023, 6:15 AM

#

Ok

#

So the variation is 200/w - 200/(w+1) correct?

#

Put those on a common denominator.

swift latch Nov 19, 2023, 6:16 AM

#

Wait wait-

swift latch Nov 19, 2023, 6:16 AM

#

shut lagoon So the variation is 200/w - 200/(w+1) correct?

Where did this come from

shut lagoon Nov 19, 2023, 6:16 AM

#

The change in length

swift latch Nov 19, 2023, 6:16 AM

#

Okay

#

Makes sense

shut lagoon Nov 19, 2023, 6:16 AM

#

Is the difference between the initial length and the final length

swift latch Nov 19, 2023, 6:16 AM

#

sorry, that was a stupid question

shut lagoon Nov 19, 2023, 6:16 AM

#

It's ok

#

It is worded weirdly tbf

swift latch Nov 19, 2023, 6:17 AM

#

200/w - 200/(w+1) = l

#

Right?

#

😭 I am so sorry, idk why I am struggling with this so much

shut lagoon Nov 19, 2023, 6:18 AM

#

It's ok

#

Let's call the initial length L1

#

and the final length L2

#

Question C is asking for the change in length

#

So L1 - L2

#

This is what you are trying to express in terms of w

swift latch Nov 19, 2023, 6:19 AM

#

Yeah

shut lagoon Nov 19, 2023, 6:19 AM

#

Now we saw that L1 - L2 = 200/w - 200/(w+1). However, this can be simplified further.

swift latch Nov 19, 2023, 6:19 AM

#

Yes

#

It's 200(w+1) - 200(w) right?

#

Oj wait nvm

shut lagoon Nov 19, 2023, 6:21 AM

#

That would be the numerator

#

You're missing the denominator there.

swift latch Nov 19, 2023, 6:21 AM

#

Right 😭

#

Okay I did it

#

Tysm 😭

shut lagoon Nov 19, 2023, 6:25 AM

#

No worries!

swift latch Nov 19, 2023, 6:25 AM

#

.close

obtuse pebbleBOT Nov 19, 2023, 6:25 AM

#

Channel closed

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sharp hare Nov 19, 2023, 6:40 AM

#

obtuse pebbleBOT Nov 19, 2023, 6:40 AM

#

sharp hare

sharp hare Nov 19, 2023, 6:40 AM

#

I determined the eigenvalues and found the bases for the eigenspaces

#

everything looks fine, and it can indeed be diagonalized

#

for the matrix Q i tried setting up a matrix with the 3 vectors from the eigenspaces

#

but it doesnt work

#

QAQ^-1 doesnt equal a diagonal matrix when I try?

#

<@&286206848099549185>

timid silo Nov 19, 2023, 7:04 AM

#

sharp hare QAQ^-1 doesnt equal a diagonal matrix when I try?

thonkEyes can i see your QAQ^-1

obtuse pebbleBOT Nov 19, 2023, 7:09 AM

#

@sharp hare Has your question been resolved?

obtuse pebbleBOT Nov 19, 2023, 7:24 AM

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Channel closed

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glacial agate Nov 19, 2023, 7:32 AM

#

obtuse pebbleBOT Nov 19, 2023, 7:32 AM

#

glacial agate

glacial agate Nov 19, 2023, 7:35 AM

#

<@&286206848099549185>

fathom flicker Nov 19, 2023, 7:36 AM

#

!15mins

obtuse pebbleBOT Nov 19, 2023, 7:36 AM

#

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.

fathom flicker Nov 19, 2023, 7:36 AM

#

!status

obtuse pebbleBOT Nov 19, 2023, 7:36 AM

#

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 was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

glacial agate Nov 19, 2023, 7:37 AM

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1

fathom flicker Nov 19, 2023, 7:37 AM

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Explain what you have tried

glacial agate Nov 19, 2023, 7:37 AM

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nothing because i've never done scale of enlargement before

fathom flicker Nov 19, 2023, 7:38 AM

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You could then start by finding a video on the topic, like youtube or khan academy

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and if you then still do not understand and are stuck, explain here why

glacial agate Nov 19, 2023, 7:38 AM

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okay

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solved it

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(3, 5)

fathom flicker Nov 19, 2023, 7:41 AM

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great, .close the channel if you're question has been resolved then

glacial agate Nov 19, 2023, 7:42 AM

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i had to work out how to get point a to x then multiply it by the scale factor

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.close

obtuse pebbleBOT Nov 19, 2023, 7:42 AM

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Channel closed

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wild shoal Nov 19, 2023, 7:47 AM

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Could someone please confirm if Q2 a is correct

rn_image_picker_lib_temp_f393348c-6008-45e7-9d8e-2d54e8dc22ed.jpg

obtuse pebbleBOT Nov 19, 2023, 7:47 AM

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wild shoal Could someone please confirm if Q2 a is correct

pulsar quarry Nov 19, 2023, 7:47 AM

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,rccw

warm shaleBOT Nov 19, 2023, 7:47 AM

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wild shoal Nov 19, 2023, 7:58 AM

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and could I also have some help with part c please

obtuse pebbleBOT Nov 19, 2023, 8:13 AM

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@wild shoal Has your question been resolved?

wild shoal Nov 19, 2023, 8:34 AM

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<@&286206848099549185>

robust raven Nov 19, 2023, 8:37 AM

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there are following rules:

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shift to the left a units means you write : y = f(x+a)

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shift to the right a units means you write : y = f(x-a)

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shift b units upward means you write : y = f(x) + b

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shift b units downward means you write : y = f(x) - b

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stretch it in the vertical direction by a scale factor of A , you write y = Af(x)

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stretch it in the horizontal direction by a scale factor of B, you write y= f(x/B)

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and that is all

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please apply it

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to yoru c.

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and show me

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certainly, you can apply few rules in same time,

wild shoal Nov 19, 2023, 8:43 AM

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robust raven Nov 19, 2023, 8:44 AM

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moemt i write and i show you comparison too

wild shoal Nov 19, 2023, 8:44 AM

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Yeah I just want to clarify one thing when I do a dilation with the original (x-2) I take out 1/5 for both of them then add 3?

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BTW thank you for writing all those out

robust raven Nov 19, 2023, 8:47 AM

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🙂

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$y=\frac{1}{3}\cdot \frac{1}{\frac{1}{5}\cdot \left( x+3 \right)-2}-2$

warm shaleBOT Nov 19, 2023, 8:47 AM

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Joanna Angel

robust raven Nov 19, 2023, 8:47 AM

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plz compare it with your case

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i wrote it fo royu, with all 4 rules

wild shoal Nov 19, 2023, 8:50 AM

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ok cool so the horizontal just gets subbed in for x

robust raven Nov 19, 2023, 8:51 AM

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and when you want to give it as an aswer, then rather you should simplify tis form

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at least i require it

wild shoal Nov 19, 2023, 8:51 AM

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yeah so it becomes 5/3(x-7) -2

robust raven Nov 19, 2023, 8:52 AM

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let me check it

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yes all correct)

wild shoal Nov 19, 2023, 8:53 AM

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ok cool thank you very much for your help

robust raven Nov 19, 2023, 8:53 AM

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plz write in all thos erules in soem exercise book to not lose it )

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your very welcome )

wild shoal Nov 19, 2023, 8:54 AM

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.close

obtuse pebbleBOT Nov 19, 2023, 8:54 AM

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Channel closed

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spice solstice Nov 19, 2023, 9:31 AM

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someone who knows about this can tell or teach me what to do?

obtuse pebbleBOT Nov 19, 2023, 9:31 AM

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spice solstice someone who knows about this can tell or teach me what to do?

spice solstice Nov 19, 2023, 9:32 AM

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<@&286206848099549185>

robust raven Nov 19, 2023, 9:35 AM

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the first way is:

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$A\bigtriangleup B = \left( A\cup B \right)\smallsetminus \left( A\cap B \right)$

warm shaleBOT Nov 19, 2023, 9:35 AM

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Joanna Angel

robust raven Nov 19, 2023, 9:36 AM

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the second way is:

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$A\bigtriangleup B =\left(A\smallsetminus B \right)\cup \left(B\smallsetminus A \right)$

warm shaleBOT Nov 19, 2023, 9:36 AM

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Joanna Angel

robust raven Nov 19, 2023, 9:37 AM

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so plz use them for yoru sets

dense pebble Nov 19, 2023, 9:40 AM

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Hey guys, do you have any recommendations for free books/questions/exercises with solutions in Linear Algebra, Analysis or Calculus which I can download online? Or any good websites? i'd like to solve more problems. It can be anything, from PDFs to online books to a website - share anything! Level: undergraduate, first semester math.

obtuse pebbleBOT Nov 19, 2023, 9:47 AM

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@spice solstice Has your question been resolved?

obtuse pebbleBOT Nov 19, 2023, 10:02 AM

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Channel closed

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warm slate Nov 19, 2023, 10:13 AM

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hi i need help with making a venn diagram im a bit stuck

obtuse pebbleBOT Nov 19, 2023, 10:13 AM

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warm slate hi i need help with making a venn diagram im a bit stuck

warm slate Nov 19, 2023, 10:13 AM

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wait im trying to find the screenshot

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pls help im stuck with this venn diagram 🙏🙏🙏🙏

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<@&286206848099549185> venn diagram help pleasee!!

brazen gorge Nov 19, 2023, 10:24 AM

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warm slate

this is a venn diagram of 3 sets

warm slate Nov 19, 2023, 10:24 AM

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yeah im just stuck on what the values for each set is

brazen gorge Nov 19, 2023, 10:25 AM

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suppose A is coastal resort, B is interstate and C is overseas

warm slate Nov 19, 2023, 10:26 AM

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mhmm

brazen gorge Nov 19, 2023, 10:28 AM

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going condition by condition:

5 just A
2 just B
2 intersection of A B C
8 just intersection of A and C
20 A (including intersections)
≥4 just C
≥13 B (including intersections)

brazen gorge Nov 19, 2023, 10:30 AM

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brazen gorge

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this is what you are looking for

warm slate Nov 19, 2023, 10:30 AM

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brazen gorge Nov 19, 2023, 10:30 AM

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brazen gorge going condition by condition: * 5 just A * 2 just B * 2 intersection of A B C * ...

try filling in these values. colouring the diagram might be useful too

brazen gorge Nov 19, 2023, 10:31 AM

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warm slate

what's the 20 doing there

warm slate Nov 19, 2023, 10:31 AM

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oh wait

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ignore that

brazen gorge Nov 19, 2023, 10:31 AM

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okay lol

warm slate Nov 19, 2023, 10:31 AM

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wait

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is it 4

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@brazen gorge

brazen gorge Nov 19, 2023, 10:35 AM

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warm slate is it 4

what is 4?

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the whole 'circle' of coastal is 20

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the part that belongs to coastal and no other set is 5

warm slate Nov 19, 2023, 10:37 AM

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brazen gorge

the shaded bit

brazen gorge Nov 19, 2023, 10:40 AM

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oh

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uh let me check

warm slate Nov 19, 2023, 10:40 AM

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okk

obtuse pebbleBOT Nov 19, 2023, 10:55 AM

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@warm slate Has your question been resolved?

#

Channel closed

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obtuse pebbleBOT Nov 19, 2023, 11:59 AM

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neon cypress Nov 19, 2023, 12:12 PM

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hey can someone help me convert a standard form equation into a slope intercept equation please

obtuse pebbleBOT Nov 19, 2023, 12:12 PM

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neon cypress hey can someone help me convert a standard form equation into a slope intercept ...

severe river Nov 19, 2023, 12:12 PM

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what have you tried so far?

neon cypress Nov 19, 2023, 12:13 PM

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severe river what have you tried so far?

i was looking at how to do it in google and stuff but i just get lost

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havent tried much

severe river Nov 19, 2023, 12:13 PM

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Ill try to guide you, write down what you have to start with and your goal. That is, the standard form equation and slope interception equation

neon cypress Nov 19, 2023, 12:14 PM

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severe river Ill try to guide you, write down what you have to start with and your goal. That...

oh thats not what i mean

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i have to do a simultaneous equation and both equations are in standard form now

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i want to convert them to slope intercept form instead cuz i work easier with them

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wait nvm i got it

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.close

obtuse pebbleBOT Nov 19, 2023, 12:15 PM

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Channel closed

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steady lodge Nov 19, 2023, 12:29 PM

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guys i have a quiz going on , i need this , can yall please be helling me.............

obtuse pebbleBOT Nov 19, 2023, 12:29 PM

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steady lodge guys i have a quiz going on , i need this , can yall please be helling me..........

steady lodge Nov 19, 2023, 12:29 PM

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ill be posting the qs i cant do here

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pls help

obtuse pebbleBOT Nov 19, 2023, 12:44 PM

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@steady lodge Has your question been resolved?

obtuse pebbleBOT Nov 19, 2023, 12:59 PM

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mint nebula Nov 19, 2023, 1:04 PM

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ABCD is a square of side a, and the point M belongs to DC so that MD = MC and MB intersected with AC = {N}. Find the area of triangle ANB. I need a solve without triangle similarities, please

obtuse pebbleBOT Nov 19, 2023, 1:04 PM

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mint nebula ABCD is a square of side a, and the point M belongs to DC so that MD = MC and MB...

mint nebula Nov 19, 2023, 1:04 PM

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Drawing DB helps, I think.

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And the fact that the area of BMC is equal to the area of BMD

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Median's theorem

spice citrus Nov 19, 2023, 1:06 PM

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I guess you can put everything in a coordinate system

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A = (0, 0), B = (a, 0), C = (a, a), D = (0, a)

tacit scarab Nov 19, 2023, 1:07 PM

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yeah just find y-coordinate of N

mint nebula Nov 19, 2023, 1:17 PM

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spice citrus I guess you can put everything in a coordinate system

Haven't learnt those yet.

spice citrus Nov 19, 2023, 1:18 PM

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Have you ever done linear equations?

obtuse pebbleBOT Nov 19, 2023, 1:32 PM

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@mint nebula Has your question been resolved?

mint nebula Nov 19, 2023, 1:36 PM

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spice citrus Have you ever done linear equations?

I think so.

spice citrus Nov 19, 2023, 1:37 PM

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this is just the same

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AC is just the line y = x

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and MB is the line that goes through (a, 0) and (0.5a, a)

obtuse pebbleBOT Nov 19, 2023, 2:06 PM

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@mint nebula Has your question been resolved?

obtuse pebbleBOT Nov 19, 2023, 3:27 PM

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@mint nebula Has your question been resolved?

quiet spire Nov 19, 2023, 4:37 PM

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the answer is (a^2)/3

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done

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solved

civic socket Nov 19, 2023, 4:52 PM

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quiet spire solved

this channel is not yours

quiet spire Nov 19, 2023, 4:53 PM

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I am new to the server

civic socket Nov 19, 2023, 4:54 PM

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you're here for a week

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have you read the rules

obtuse pebbleBOT Nov 19, 2023, 5:34 PM

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@mint nebula Has your question been resolved?

mint nebula Nov 19, 2023, 6:58 PM

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quiet spire the answer is (a^2)/3

And how did you get there?

obtuse pebbleBOT Nov 19, 2023, 10:58 PM

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@mint nebula Has your question been resolved?

obtuse pebbleBOT Nov 20, 2023, 2:58 AM

#

Channel closed

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vagrant kite Nov 20, 2023, 3:02 AM

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obtuse pebbleBOT Nov 20, 2023, 3:02 AM

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vagrant kite

vagrant kite Nov 20, 2023, 3:02 AM

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For 1D, is this right?

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I did 10x4 and got 40

latent walrus Nov 20, 2023, 3:03 AM

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my eyes cant zoom so far

azure anchor Nov 20, 2023, 3:03 AM

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is this a screenshot for ants?

latent walrus Nov 20, 2023, 3:03 AM

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azure anchor Nov 20, 2023, 3:03 AM

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perimeter = outer boundary

minor furnace Nov 20, 2023, 3:03 AM

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^

vagrant kite Nov 20, 2023, 3:03 AM

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Oh I didn't know my screenshot was bad

azure anchor Nov 20, 2023, 3:03 AM

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add up all the boundaries, subtract the inner boundaries

vagrant kite Nov 20, 2023, 3:04 AM

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Wait subtract the inner boundaries???

azure anchor Nov 20, 2023, 3:04 AM

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latent walrus Nov 20, 2023, 3:05 AM

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every square is one unit, could just count them if you want to be speedy

vagrant kite Nov 20, 2023, 3:05 AM

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Oh its 48 right

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Ok thanks

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.close

obtuse pebbleBOT Nov 20, 2023, 3:05 AM

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Channel closed

Closed by @vagrant kite

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vagrant kite Nov 20, 2023, 3:06 AM

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I mean 44

obtuse pebbleBOT Nov 20, 2023, 3:12 AM

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fathom echo Nov 20, 2023, 3:23 AM

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obtuse pebbleBOT Nov 20, 2023, 3:23 AM

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fathom echo

fathom echo Nov 20, 2023, 3:23 AM

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Help pleasr

latent walrus Nov 20, 2023, 3:23 AM

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hello again

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!onechannel

obtuse pebbleBOT Nov 20, 2023, 3:23 AM

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Please stick to your channel.

latent walrus Nov 20, 2023, 3:23 AM

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.close

obtuse pebbleBOT Nov 20, 2023, 3:23 AM

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Channel closed

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pulsar quarry Nov 20, 2023, 3:29 AM

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dont ping blud

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#❓how-to-get-help

pale flume Nov 20, 2023, 3:29 AM

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mb fam

obtuse pebbleBOT Nov 20, 2023, 3:37 AM

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tawdry patrol Nov 20, 2023, 3:43 AM

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how on earth do I do this

obtuse pebbleBOT Nov 20, 2023, 3:43 AM

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tawdry patrol how on earth do I do this

tawdry patrol Nov 20, 2023, 3:47 AM

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.close

obtuse pebbleBOT Nov 20, 2023, 3:47 AM

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Channel closed

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obtuse pebbleBOT Nov 20, 2023, 4:13 AM

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#

junior bone Nov 20, 2023, 4:23 AM

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This would be false I think

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If alpha was .05, the confidence level would be 95%

mossy fjord Nov 20, 2023, 4:24 AM

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Is there more to this question, or is this all that is written?

junior bone Nov 20, 2023, 4:25 AM

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But p value is what you compare to alpha to make a decision about the hypothesis

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Idk I have a test on this stuff tomorrow lol

mossy fjord Nov 20, 2023, 4:28 AM

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If your alpha was like 0.04, then you'd reject both. I also have a test on this tomorrow lol.