#help-33 | Mathematics | Page 252

surreal shore Nov 28, 2021, 9:27 PM

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idk where to start T__T

stray basin Nov 28, 2021, 9:28 PM

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L'Hospitals

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try that

surreal shore Nov 28, 2021, 9:28 PM

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can u explain what that is?

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my math teacher never taught that

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ive looked at videos for it but it was confusing

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and its just been mentioned to me before whenever i ask for help on my homework in here

stray basin Nov 28, 2021, 9:30 PM

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You can take the derivative of the numerator and the denominator and evalute the limit from there

surreal shore Nov 28, 2021, 9:30 PM

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how would i take the derivative of that top one

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and wouldn't the derivative of h just be 0 since its a constant?

mystic heath Nov 28, 2021, 9:31 PM

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are you familiar with the limit definition of the derivative?

surreal shore Nov 28, 2021, 9:31 PM

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as in f(x+h) - f(x) all over h

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?

mystic heath Nov 28, 2021, 9:31 PM

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look at the original problem again

surreal shore Nov 28, 2021, 9:31 PM

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https://media.discordapp.net/attachments/907022703230345237/914628553952362506/unknown.png

mystic heath Nov 28, 2021, 9:31 PM

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surreal shore Nov 28, 2021, 9:32 PM

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hm

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i just dont get it

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idkwhat to do

mystic heath Nov 28, 2021, 9:32 PM

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look at the form your problem is in

surreal shore Nov 28, 2021, 9:33 PM

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its literally that form but where do i go from there

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theres no way im gonna do the pyramid on (x+h)^6

mystic heath Nov 28, 2021, 9:33 PM

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thonkzoom

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wait

surreal shore Nov 28, 2021, 9:33 PM

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pascals triangle or whatever

mystic heath Nov 28, 2021, 9:33 PM

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do you know derivative rules

surreal shore Nov 28, 2021, 9:33 PM

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nope

mystic heath Nov 28, 2021, 9:34 PM

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bruh

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I'll leave it for somebody else

surreal shore Nov 28, 2021, 9:34 PM

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kms

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.close

marsh citrusBOT Nov 28, 2021, 9:34 PM

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dreamy summit Nov 28, 2021, 9:54 PM

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Letter a, knowing that in all of R the accumulated probability is equal to 1, what is the value of k

marsh citrusBOT Nov 28, 2021, 9:54 PM

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dreamy summit Letter a, knowing that in all of R the accumulated probability is equal to 1, wh...

dreamy summit Nov 28, 2021, 9:54 PM

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can someone check my answer?

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I'm studying for my finals, but this exercise doesn't have the answer...

marsh citrusBOT Nov 28, 2021, 10:12 PM

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@dreamy summit Has your question been resolved?

dreamy summit Nov 28, 2021, 10:13 PM

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<@&286206848099549185>

marsh citrusBOT Nov 28, 2021, 10:43 PM

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@dreamy summit Has your question been resolved?

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shrewd hedge Nov 28, 2021, 11:25 PM

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John is on a number line and starts on the number 0, and on his first
move, he jumps forward by 3 units, landing on the number 3. Then, he proceeds to jump
backwards by 3/2 units, landing on the number 3/2. Soon, he jumps forward by 3/4
units, then backwards by 3/8 units, and he keeps on going such that for every move, he travels in
the opposite direction of the previous move and with half the distance. What number
will he get closer and closer to every time he moves, no matter which move he is making?
(In other words, what number will he end up approaching as he keeps going?)

marsh citrusBOT Nov 28, 2021, 11:25 PM

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shrewd hedge John is on a number line and starts on the number 0, and on his first move, he j...

shrewd hedge Nov 28, 2021, 11:25 PM

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im not rly sure how to do this-

late geode Nov 28, 2021, 11:26 PM

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consider writing out the first few positions that john lands on

shrewd hedge Nov 28, 2021, 11:27 PM

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but if i did write all of them wouldnt that take like a rly long time?

late geode Nov 28, 2021, 11:27 PM

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first few

shrewd hedge Nov 28, 2021, 11:27 PM

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ohh ok

late geode Nov 28, 2021, 11:27 PM

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not telling you to write like 1000

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just a few like 4 to 5

shrewd hedge Nov 28, 2021, 11:28 PM

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mk

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3, 1.5, 2.25, 1.875, 2.0625

late geode Nov 28, 2021, 11:31 PM

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1 sec, actually its better to consider the units he jumps forward and backwards separetely

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and also use fractions

shrewd hedge Nov 28, 2021, 11:32 PM

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oo ok

tepid totem Nov 28, 2021, 11:33 PM

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Ur so weird

shrewd hedge Nov 28, 2021, 11:33 PM

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3, 3/2 , 2 1/4, 1 7/8, 2 1/16

tepid totem Nov 28, 2021, 11:34 PM

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Weird

shrewd hedge Nov 28, 2021, 11:34 PM

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wat??

tepid totem Nov 28, 2021, 11:34 PM

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Ur name is weird

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Ur weird

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So weird

shrewd hedge Nov 28, 2021, 11:34 PM

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...ok

late geode Nov 28, 2021, 11:34 PM

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actually its better to consider the units he jumps forward and backwards separetely

shrewd hedge Nov 28, 2021, 11:35 PM

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late geode > actually its better to consider the units he jumps forward and backwards sepa...

so like write the expression?

late geode Nov 28, 2021, 11:35 PM

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you want two separate sequences

shrewd hedge Nov 28, 2021, 11:36 PM

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wait i think i got it now

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ty!

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.close

marsh citrusBOT Nov 28, 2021, 11:36 PM

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Channel closed

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marsh citrusBOT Dec 5, 2021, 4:37 PM

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coral anchor Dec 5, 2021, 5:12 PM

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Just wanted to ask if definite integration is the same as indefinite integration but at the end we substitute and subtract the values we got

marsh citrusBOT Dec 5, 2021, 5:12 PM

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coral anchor Just wanted to ask if definite integration is the same as indefinite integration...

dusky pivot Dec 5, 2021, 5:15 PM

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coral anchor Just wanted to ask if definite integration is the same as indefinite integration...

def integral u leave it as some function f(x) + c
indefinite integral we put f(upper limit) - f( lower limits )

still temple Dec 5, 2021, 5:18 PM

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who knows how much pecent is 25min from and hour

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pls help

coral anchor Dec 5, 2021, 5:20 PM

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dusky pivot def integral u leave it as some function f(x) + c indefinite integral we put f(...

i think its th other way round

dusky pivot Dec 5, 2021, 5:20 PM

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ya

coral anchor Dec 5, 2021, 5:21 PM

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thx

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.close

marsh citrusBOT Dec 5, 2021, 5:21 PM

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Available help channel!

Send your question here to claim the channel.

Remember:
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still temple Dec 5, 2021, 5:26 PM

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38/10 of a hidden number is 20 less that 43/10 of the same number

marsh citrusBOT Dec 5, 2021, 5:26 PM

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still temple 38/10 of a hidden number is 20 less that 43/10 of the same number

still temple Dec 5, 2021, 5:26 PM

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whaaaaat

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pls help ;-;

hearty bobcat Dec 5, 2021, 5:29 PM

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3.8x=43.x -20

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solve it

ancient tapir Dec 5, 2021, 5:29 PM

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^

still temple Dec 5, 2021, 5:29 PM

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oh thx

ancient tapir Dec 5, 2021, 5:29 PM

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just set the number u dont know as a variable

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so x

still temple Dec 5, 2021, 5:30 PM

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ancient tapir just set the number u dont know as a variable

wait wht does x equal

ancient tapir Dec 5, 2021, 5:30 PM

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the hidden number

still temple Dec 5, 2021, 5:31 PM

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how do i find wht it equals

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do i need to guess?

ancient tapir Dec 5, 2021, 5:31 PM

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by solving it

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like moving the x to one side

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and the number value

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which is a called a constant to the other

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in this case it would be 3.8x = 4.3x - 20

still temple Dec 5, 2021, 5:32 PM

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can it be any number?

ancient tapir Dec 5, 2021, 5:32 PM

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so u move it to the left side which is 3.8x - 4.3x = -20

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-0.5x = -20

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-1x = -40

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x = 40

ancient tapir Dec 5, 2021, 5:32 PM

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still temple can it be any number?

yup

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its just the number that you dont know

still temple Dec 5, 2021, 5:32 PM

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alr

ancient tapir Dec 5, 2021, 5:32 PM

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dw once u wrap ur head around it its light work

still temple Dec 5, 2021, 5:32 PM

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lol

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i suck at these guessing things

ancient tapir Dec 5, 2021, 5:33 PM

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do u get how i got the decimals??

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na but its not even guessing!

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its a nice strat look at the equation again

still temple Dec 5, 2021, 5:33 PM

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idk how u got

ancient tapir Dec 5, 2021, 5:33 PM

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the decimals??

still temple Dec 5, 2021, 5:33 PM

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i didnt understand the - at the start

ancient tapir Dec 5, 2021, 5:33 PM

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like -0.5x??

still temple Dec 5, 2021, 5:34 PM

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oh wait

ancient tapir Dec 5, 2021, 5:34 PM

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ye its just solving the x

still temple Dec 5, 2021, 5:34 PM

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no im lost again

ancient tapir Dec 5, 2021, 5:34 PM

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OOF w8 which part

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il do my best in explaining it

still temple Dec 5, 2021, 5:34 PM

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the part when solving x

ancient tapir Dec 5, 2021, 5:34 PM

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3.8x = 4.3x - 20

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like after this??

still temple Dec 5, 2021, 5:34 PM

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all i now is 5/10 equals 5

still temple Dec 5, 2021, 5:34 PM

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ancient tapir 3.8x = 4.3x - 20

i dont understand this equation

ancient tapir Dec 5, 2021, 5:35 PM

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alr alr alr so the question

still temple Dec 5, 2021, 5:35 PM

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RIP

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misclick

ancient tapir Dec 5, 2021, 5:35 PM

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hol up lemme get it

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rq

still temple Dec 5, 2021, 5:35 PM

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5/10=20

ancient tapir Dec 5, 2021, 5:35 PM

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i cant lie i didnt even notice

ancient tapir Dec 5, 2021, 5:35 PM

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still temple all i now is 5/10 equals 5

this was wrong

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lol

still temple Dec 5, 2021, 5:35 PM

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yes

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its 20

ancient tapir Dec 5, 2021, 5:35 PM

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dwdw its easy

still temple Dec 5, 2021, 5:35 PM

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lol

ancient tapir Dec 5, 2021, 5:35 PM

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YEE

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like basically

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we took the fractions

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and put it as a decimal

still temple Dec 5, 2021, 5:35 PM

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so 35 is 7x20

ancient tapir Dec 5, 2021, 5:35 PM

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are u confused on that

ancient tapir Dec 5, 2021, 5:36 PM

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still temple so 35 is 7x20

not quite not quite

still temple Dec 5, 2021, 5:36 PM

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oh

ancient tapir Dec 5, 2021, 5:36 PM

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140 would be 7 x 20

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because ur adding 20 7 times

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20+20+20+20+20+20+20

still temple Dec 5, 2021, 5:36 PM

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oh

ancient tapir Dec 5, 2021, 5:36 PM

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yk the fractions in the question?

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like uhh lemme get em

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38/10 of a hidden number is 20 less that 43/10 of the same number

still temple Dec 5, 2021, 5:36 PM

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there was 38/10

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and 43/10

ancient tapir Dec 5, 2021, 5:36 PM

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yeaa

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38/10 is 3.8

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do you get that??

still temple Dec 5, 2021, 5:37 PM

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divided by 10

ancient tapir Dec 5, 2021, 5:37 PM

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yeayea

still temple Dec 5, 2021, 5:37 PM

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and 43 is 4.3

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ohh

ancient tapir Dec 5, 2021, 5:37 PM

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correct!

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Do u unsterstand y tho

still temple Dec 5, 2021, 5:37 PM

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yes

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i remeber this

ancient tapir Dec 5, 2021, 5:37 PM

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nice! its dividing

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yeye

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so like 59

still temple Dec 5, 2021, 5:37 PM

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like if it was 430/100

ancient tapir Dec 5, 2021, 5:37 PM

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/10

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what would that be

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yeyeye

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go on

still temple Dec 5, 2021, 5:37 PM

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still 4.3

ancient tapir Dec 5, 2021, 5:37 PM

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correct!

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u move the decimal

still temple Dec 5, 2021, 5:38 PM

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hmm so 4.3 is 20 bigger than 3.8

ancient tapir Dec 5, 2021, 5:38 PM

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which is at the end 2 times because it is 100

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basically

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Uve got it now

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from that we just set the hidden number as x

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because we dont know it

still temple Dec 5, 2021, 5:38 PM

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ohh thats wht u meant moving decimal

ancient tapir Dec 5, 2021, 5:38 PM

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so we get 3.8x = 4.3x - 20

still temple Dec 5, 2021, 5:38 PM

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im slovak get confused sometimes with english words srry

ancient tapir Dec 5, 2021, 5:38 PM

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no worries! but yea

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all u do is divide by 10

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38

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and 43

still temple Dec 5, 2021, 5:39 PM

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i still dont know wht x is XD

ancient tapir Dec 5, 2021, 5:39 PM

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since theres 1 zero u have to move it one to the left because ur dividing

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x is the number that u dont know

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it can be anything ez!

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like 1 million 200

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50

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the reason u put it as x

still temple Dec 5, 2021, 5:39 PM

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oh

ancient tapir Dec 5, 2021, 5:39 PM

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is so u can find the exact number

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that works in the problem

still temple Dec 5, 2021, 5:39 PM

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so like if i choose 20

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38/10 of 20 is

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10/10 is 20

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so 30/10 is 60

ancient tapir Dec 5, 2021, 5:40 PM

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you would do 38 x 20 and then divided by 10

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HMM

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think of it this way

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of = times

still temple Dec 5, 2021, 5:41 PM

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and 8/10 is 18

ancient tapir Dec 5, 2021, 5:41 PM

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so it would be 38 times 20 divded by 10

still temple Dec 5, 2021, 5:41 PM

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so the number is78

ancient tapir Dec 5, 2021, 5:41 PM

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HM i think ur doing it wrong

still temple Dec 5, 2021, 5:41 PM

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but wait

ancient tapir Dec 5, 2021, 5:41 PM

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hol uppp

still temple Dec 5, 2021, 5:41 PM

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5/10 is

ancient tapir Dec 5, 2021, 5:41 PM

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1/2

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its half

still temple Dec 5, 2021, 5:41 PM

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10

ancient tapir Dec 5, 2021, 5:41 PM

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o-o

still temple Dec 5, 2021, 5:41 PM

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yes

ancient tapir Dec 5, 2021, 5:42 PM

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whered u get 10 from though

still temple Dec 5, 2021, 5:42 PM

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i need to do a different number

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cz i chose 20

ancient tapir Dec 5, 2021, 5:42 PM

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w8 w8 w8 w8 chillll lol

still temple Dec 5, 2021, 5:42 PM

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half 20 is 10

ancient tapir Dec 5, 2021, 5:42 PM

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oh in that case it is

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yup! spot on

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but do u then get how i got

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the decimals

still temple Dec 5, 2021, 5:42 PM

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but then its -10

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not 20

ancient tapir Dec 5, 2021, 5:42 PM

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its just dividng by 10 so its easier to put in an equation

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or this

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3.8x = 4.3x - 20

still temple Dec 5, 2021, 5:42 PM

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so i need to double

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so 40

ancient tapir Dec 5, 2021, 5:43 PM

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im a little confused ngl

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whered the -10

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come from

still temple Dec 5, 2021, 5:43 PM

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same XD

ancient tapir Dec 5, 2021, 5:43 PM

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yoyoyo look

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lets take the rpoblem right

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43/10 and 38/10

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it turns into 4.3 and 3.8

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because you move the zero one to the left

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43 is 43.0

still temple Dec 5, 2021, 5:43 PM

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oh

ancient tapir Dec 5, 2021, 5:43 PM

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and when u divide by 10 its one to the left

still temple Dec 5, 2021, 5:43 PM

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i thought 4.3

ancient tapir Dec 5, 2021, 5:43 PM

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so it would be 4.3

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yeyeye its right

still temple Dec 5, 2021, 5:44 PM

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oh lol

ancient tapir Dec 5, 2021, 5:44 PM

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thats only for when its 10 tho dont do it with everything!

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u get the idea though cuz like u said

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when its 100

still temple Dec 5, 2021, 5:44 PM

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yes

ancient tapir Dec 5, 2021, 5:44 PM

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then its 2 to the left

still temple Dec 5, 2021, 5:44 PM

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if 100 2 spaces

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if 1000 3

ancient tapir Dec 5, 2021, 5:44 PM

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yup exactly!

still temple Dec 5, 2021, 5:44 PM

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for each 0 one space

ancient tapir Dec 5, 2021, 5:44 PM

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yupp

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and same for multiplying

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lets say its 10

still temple Dec 5, 2021, 5:44 PM

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i know this from school but idk how to get x XD

ancient tapir Dec 5, 2021, 5:44 PM

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u move it 1 space

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but instead to the right

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1 x 10 = 10

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1.00 = 10.0

still temple Dec 5, 2021, 5:45 PM

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yes

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but how i get wht x equals

ancient tapir Dec 5, 2021, 5:45 PM

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so then u just solve it

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3.8x = 4.3x - 20

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u understand the decimals now

still temple Dec 5, 2021, 5:45 PM

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this is wht i dont know how to do XD

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i dont know how to solve

ancient tapir Dec 5, 2021, 5:45 PM

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and u see u just put the number you dont know as x

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yk the hidden number??

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Its ur x

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x is just a number that you dont know

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does that make sense?

still temple Dec 5, 2021, 5:46 PM

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but in the question is says i havve o find hidden number

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:c

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i have to guess for that right?

ancient tapir Dec 5, 2021, 5:46 PM

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nopenope

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the hidden number

still temple Dec 5, 2021, 5:46 PM

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oh is there a formula?

ancient tapir Dec 5, 2021, 5:46 PM

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is x

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kindaa

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its not really a formulate

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just think of it like this

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i dont know the hidden number

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so i put it as x

still temple Dec 5, 2021, 5:47 PM

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cz my teacher wants a number like 40 or 20 or something like that

ancient tapir Dec 5, 2021, 5:47 PM

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then it gives

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3.8x = 4.3x - 20

still temple Dec 5, 2021, 5:47 PM

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variant decimal or whole number

ancient tapir Dec 5, 2021, 5:47 PM

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in this case you have to put it as whatever

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you get

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let it be decimal

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whole number

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cuz it has to be exact

still temple Dec 5, 2021, 5:47 PM

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i will put x like u told me

ancient tapir Dec 5, 2021, 5:47 PM

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yup!

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and so then what do u get??

still temple Dec 5, 2021, 5:48 PM

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cz if my teacher expects me to guess she is crazy XD

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so i think putting x is correct

dusky pivot Dec 5, 2021, 5:48 PM

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still temple cz my teacher wants a number like 40 or 20 or something like that

x=40 is the ans
sorry for the interruption
pls continue

ancient tapir Dec 5, 2021, 5:48 PM

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still temple so i think putting x is correct

yeayea! it works

still temple Dec 5, 2021, 5:48 PM

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bruh

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i put the thing in the test

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says i can only type numbers

ancient tapir Dec 5, 2021, 5:48 PM

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if ur teacher wants to guess then its even better for you to put x ur going to be ahead of ur class :)

ancient tapir Dec 5, 2021, 5:49 PM

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dusky pivot x=40 is the ans sorry for the interruption pls continue

npnp 40 is indeed the answer!

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in that case solve it spectral

still temple Dec 5, 2021, 5:49 PM

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oh thx

ancient tapir Dec 5, 2021, 5:49 PM

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with x if u udnerstand

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3.8x = 4.3x - 20

still temple Dec 5, 2021, 5:49 PM

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i thought 40

ancient tapir Dec 5, 2021, 5:49 PM

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the answers 40 so u can put that

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but make sure u get how x works

still temple Dec 5, 2021, 5:49 PM

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thx

ancient tapir Dec 5, 2021, 5:49 PM

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its a really important concept

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NP

still temple Dec 5, 2021, 5:49 PM

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lol i thought 40 bcz double of 20

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and 10 was half of 20

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and 20 half of 40

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.close

marsh citrusBOT Dec 5, 2021, 5:50 PM

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Channel closed

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Use .reopen if this was a mistake.

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Available help channel!

Send your question here to claim the channel.

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

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

sharp bloom Dec 5, 2021, 5:56 PM

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i have been trying to do some practice questions on linear approximation and differentials and i have no idea where to start

marsh citrusBOT Dec 5, 2021, 5:56 PM

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sharp bloom i have been trying to do some practice questions on linear approximation and dif...

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@sharp bloom Has your question been resolved?

marsh citrusBOT Dec 5, 2021, 6:26 PM

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Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

sharp bloom Dec 5, 2021, 6:27 PM

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.reopen

marsh citrusBOT Dec 5, 2021, 6:27 PM

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✅

zenith mango Dec 5, 2021, 6:33 PM

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b?

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i just assumed f to be quadratic polynomial and then solved for the coefficients using the three conditions given

sharp bloom Dec 5, 2021, 6:36 PM

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zenith mango i just assumed f to be quadratic polynomial and then solved for the coefficients...

idk how to do that. how did u solve for the coeffecients if there was no function given in the first place?

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like no 3x^2 all that

zenith mango Dec 5, 2021, 6:37 PM

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sharp bloom idk how to do that. how did u solve for the coeffecients if there was no functio...

i assumed it to be ax^2+bx+c

sharp bloom Dec 5, 2021, 6:40 PM

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zenith mango i assumed it to be ax^2+bx+c

oh, ok, so if i plug in everything on this problem, would that make this b as well?

zenith mango Dec 5, 2021, 6:42 PM

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shouldnt it be e?

sharp bloom Dec 5, 2021, 6:43 PM

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zenith mango shouldnt it be e?

what i did was i graphed both f(1.1) and f(1) and i got f(1)=0 and f(1.1)= .09531

zenith mango Dec 5, 2021, 6:44 PM

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but you dont have to give the value of f

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you have to approximate it using tangent at that point

sharp bloom Dec 5, 2021, 6:45 PM

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zenith mango you have to approximate it using tangent at that point

so i have to find the tangent of ln(x) and then it would be tangent(1.1) and thats my answer?

zenith mango Dec 5, 2021, 6:47 PM

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yes ig so

marsh citrusBOT Dec 5, 2021, 7:00 PM

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@sharp bloom Has your question been resolved?

sharp bloom Dec 5, 2021, 7:02 PM

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zenith mango yes ig so

ok >-< would this be correct then

marsh citrusBOT Dec 5, 2021, 7:32 PM

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@sharp bloom Has your question been resolved?

marsh citrusBOT Dec 5, 2021, 8:37 PM

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@sharp bloom Has your question been resolved?

sharp bloom Dec 5, 2021, 9:11 PM

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.close

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modern nebula Dec 5, 2021, 9:20 PM

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not sure what the r bounds would be for this question

marsh citrusBOT Dec 5, 2021, 9:20 PM

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modern nebula not sure what the r bounds would be for this question

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@modern nebula Has your question been resolved?

modern nebula Dec 5, 2021, 9:43 PM

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<@&286206848099549185>

marsh citrusBOT Dec 5, 2021, 10:13 PM

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@modern nebula Has your question been resolved?

marsh citrusBOT Dec 5, 2021, 11:15 PM

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@modern nebula Has your question been resolved?

marsh citrusBOT Dec 6, 2021, 1:17 AM

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@modern nebula Has your question been resolved?

quasi vessel Dec 6, 2021, 1:53 AM

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modern nebula not sure what the r bounds would be for this question

Check what the intersection of both the given surfaces are.

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Projection of the solid on the x-y plane looks like a unit circle centered at origin

marsh citrusBOT Dec 6, 2021, 3:17 AM

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still temple Dec 6, 2021, 3:29 AM

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Hey I need some help with this problem

marsh citrusBOT Dec 6, 2021, 3:29 AM

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still temple Hey I need some help with this problem

still temple Dec 6, 2021, 3:29 AM

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I started it

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I set the two equations equal to eachother

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got this

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but i dont really know what to do from here

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I'm not the best at factoring and visualizing this stuff but I'd assume that what I'm supposed to do to find the limits of integration

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if anyone decides to help please ping me, ima minimize disc

marsh citrusBOT Dec 6, 2021, 3:47 AM

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@still temple Has your question been resolved?

marsh citrusBOT Dec 6, 2021, 4:21 AM

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@still temple Has your question been resolved?

crisp imp Dec 6, 2021, 4:49 AM

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Hi

marsh citrusBOT Dec 6, 2021, 4:51 AM

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snow cloud Dec 8, 2021, 9:12 PM

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Two standard 6 sided dice are rolled. Find the probability that exactly one dice has rolled a "6" and the sum of the dice is 9. The answer was 1/18 but dont know how

marsh citrusBOT Dec 8, 2021, 9:12 PM

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snow cloud Two standard 6 sided dice are rolled. Find the probability that exactly one dice...

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.close

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median sage Dec 8, 2021, 11:25 PM

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marsh citrusBOT Dec 8, 2021, 11:25 PM

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median sage

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valid merlin Dec 9, 2021, 1:01 AM

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w

marsh citrusBOT Dec 9, 2021, 1:01 AM

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valid merlin w

valid merlin Dec 9, 2021, 1:01 AM

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can someone make a word problem out of this

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ill solve it 😱

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actually nvm ill do it

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.close

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marble shell Dec 12, 2021, 7:16 PM

#

marsh citrusBOT Dec 12, 2021, 7:16 PM

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marble shell

marble shell Dec 12, 2021, 7:16 PM

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how do you know if it will be a circle instead of a perpendicular bisector?

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because if they have the same modulus it's usually a perpendicular bisector between the two points

cunning citrus Dec 12, 2021, 7:20 PM

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circle is |z-w|=r

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perp bisector is |z-w_1|=|z-w_2|

marble shell Dec 12, 2021, 7:20 PM

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thats what i thought too, but the solution for this is a circle

marsh citrusBOT Dec 12, 2021, 7:35 PM

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@marble shell Has your question been resolved?

marsh citrusBOT Dec 12, 2021, 8:06 PM

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@marble shell Has your question been resolved?

versed raptor Dec 12, 2021, 8:30 PM

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Can we see the solution you were given?

marsh citrusBOT Dec 12, 2021, 8:36 PM

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marsh citrusBOT Dec 15, 2021, 4:57 PM

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still temple Dec 15, 2021, 5:01 PM

#

marsh citrusBOT Dec 15, 2021, 5:01 PM

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still temple

still temple Dec 15, 2021, 5:01 PM

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how do i do this

quasi vessel Dec 15, 2021, 5:02 PM

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Which number multiplied by itself gives 1/121?

still temple Dec 15, 2021, 5:02 PM

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11

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so its 1/11

quasi vessel Dec 15, 2021, 5:02 PM

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still temple so its 1/11

There you go

still temple Dec 15, 2021, 5:03 PM

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thankyou:)

still temple Dec 15, 2021, 5:05 PM

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quasi vessel There you go

thankyou how would i solve this

late geode Dec 15, 2021, 5:06 PM

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apply some exponent laws

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and/or the definition of exponentiation

still temple Dec 15, 2021, 5:09 PM

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ok

quasi vessel Dec 15, 2021, 5:09 PM

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3/5 multiplied to itself

still temple Dec 15, 2021, 5:11 PM

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9/25

quasi vessel Dec 15, 2021, 5:11 PM

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Yep

still temple Dec 15, 2021, 5:14 PM

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is this the correct solution

quasi vessel Dec 15, 2021, 5:14 PM

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Yes indeed!

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Are you giving a test?

still temple Dec 15, 2021, 5:19 PM

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no this is a practice form to make sure im ready for test

quasi vessel Dec 15, 2021, 5:20 PM

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You should be able to self verify them

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Give your reasoning why you marked 53

marsh citrusBOT Dec 15, 2021, 5:34 PM

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dawn ore Dec 15, 2021, 10:12 PM

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https://cdn.discordapp.com/attachments/810625768685436968/920795918679285830/20211215_165351.jpg

marsh citrusBOT Dec 15, 2021, 10:12 PM

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dawn ore https://cdn.discordapp.com/attachments/810625768685436968/920795918679285830/202...

dawn ore Dec 15, 2021, 10:13 PM

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Suppose ABC is rotated 180 about the origin
What is an expression of the perimeter of the image
What is an expression of the area of the image

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Sorry for the poor image, but I have no idea what exactly they're asking here

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.close

marsh citrusBOT Dec 15, 2021, 10:20 PM

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Channel closed

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delicate prairie Dec 15, 2021, 10:20 PM

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.reopen

marsh citrusBOT Dec 15, 2021, 10:20 PM

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✅

delicate prairie Dec 15, 2021, 10:20 PM

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i deleted ur q in the other channels

dawn ore Dec 15, 2021, 10:20 PM

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sorry about that, you can clear them

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thank you

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I'll repost this due to the text, apologies again

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https://cdn.discordapp.com/attachments/810625768685436968/920795918679285830/20211215_165351.jpg

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Suppose ABC is rotated 180 about the origin
What is an expression of the perimeter of the image
What is an expression of the area of the image

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Feel free to ping me whenever, thank you

marsh citrusBOT Dec 15, 2021, 10:39 PM

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@dawn ore Has your question been resolved?

dawn ore Dec 15, 2021, 10:39 PM

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<@&286206848099549185>

marsh citrusBOT Dec 15, 2021, 11:09 PM

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@dawn ore Has your question been resolved?

marsh citrusBOT Dec 16, 2021, 12:09 AM

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@dawn ore Has your question been resolved?

marsh citrusBOT Dec 16, 2021, 2:09 AM

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@dawn ore Has your question been resolved?

still temple Dec 16, 2021, 5:13 AM

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i am pretty sure they are just asking for the perimeter and the area of the triangle

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Area of Triangle = 1/2 * base * height  -> 1/2 * 6 * 3^1/2

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to find the perimeter first we need to find out the length of the equal sides

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L = length of side 
P  = Perimeter 
to find that we just apply the pyth . thm
 L  = | (9 + 25)^1/2 |  

therefore 
P = L*2 +  6 * 3^1/2

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put all this in your calculator and it will be easy

marsh citrusBOT Dec 16, 2021, 6:40 AM

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wanton mulch Dec 16, 2021, 8:41 AM

#

marsh citrusBOT Dec 16, 2021, 8:41 AM

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wanton mulch

wanton mulch Dec 16, 2021, 8:41 AM

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Im stuckkk

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Helppp

marsh citrusBOT Dec 16, 2021, 8:56 AM

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@wanton mulch Has your question been resolved?

wanton mulch Dec 16, 2021, 8:58 AM

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<@&286206848099549185>

wanton mulch Dec 16, 2021, 9:13 AM

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<@&286206848099549185>

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Anyone??

plucky sonnet Dec 16, 2021, 9:39 AM

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I need a help

marsh citrusBOT Dec 16, 2021, 9:49 AM

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still temple Dec 16, 2021, 10:19 AM

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wanton mulch

Is LK tangent?

marsh citrusBOT Dec 16, 2021, 10:20 AM

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grizzled cape Dec 16, 2021, 10:26 AM

#

marsh citrusBOT Dec 16, 2021, 10:26 AM

#

grizzled cape

grizzled cape Dec 16, 2021, 10:26 AM

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I need help with this problem I do not get it

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I don't understand how symbolab does it

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And someone show me how to solve this fully plzz

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<@&286206848099549185>

marsh citrusBOT Dec 16, 2021, 10:46 AM

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@grizzled cape Has your question been resolved?

marsh citrusBOT Dec 16, 2021, 11:17 AM

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@grizzled cape Has your question been resolved?

marsh citrusBOT Dec 16, 2021, 12:20 PM

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@grizzled cape Has your question been resolved?

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plucky sonnet Dec 16, 2021, 2:02 PM

#

https://cdn.discordapp.com/attachments/822155662833877033/921039434672123904/20211216_170102.jpg

marsh citrusBOT Dec 16, 2021, 2:02 PM

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plucky sonnet https://cdn.discordapp.com/attachments/822155662833877033/921039434672123904/202...

plucky sonnet Dec 16, 2021, 2:02 PM

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I need a help

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https://cdn.discordapp.com/attachments/822155662833877033/921039434672123904/20211216_170102.jpg

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<@&286206848099549185>

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help me

hardy galleon Dec 16, 2021, 2:03 PM

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Do you know the interest formula

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That will give you a help

marsh citrusBOT Dec 16, 2021, 2:17 PM

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@plucky sonnet Has your question been resolved?

plucky sonnet Dec 16, 2021, 2:18 PM

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hardy galleon That will give you a help

No I do not know

marsh citrusBOT Dec 16, 2021, 2:32 PM

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worthy orchid Dec 16, 2021, 3:45 PM

#

marsh citrusBOT Dec 16, 2021, 3:45 PM

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worthy orchid

worthy orchid Dec 16, 2021, 3:46 PM

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f''(x) = (2x^2-12)/x^5

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And it is 0 at x= -√6, √6

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I found out that x= -√6 and √6 are inflection points after checking it's concativity. But how to check at x=0

marsh citrusBOT Dec 16, 2021, 4:03 PM

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@worthy orchid Has your question been resolved?

worthy orchid Dec 16, 2021, 4:03 PM

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<@&286206848099549185>

marsh citrusBOT Dec 16, 2021, 4:39 PM

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@worthy orchid Has your question been resolved?

worthy orchid Dec 16, 2021, 5:08 PM

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,close

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.close

marsh citrusBOT Dec 16, 2021, 5:09 PM

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nimble owl Dec 16, 2021, 5:10 PM

#

I have been trying to understand what this means for the last hour can someone please help?

marsh citrusBOT Dec 16, 2021, 5:10 PM

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nimble owl I have been trying to understand what this means for the last hour can someone p...

nimble owl Dec 16, 2021, 5:11 PM

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I think I get it, but I don’t know if it’s right or exactly how to solve it, I could try to explain to show my work but I’m just trying to understand the concept

toxic lion Dec 16, 2021, 5:12 PM

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Can you be more specific on what you don't understand

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k is a function from the set of real numbers R to the set of integers Z

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so if you put in a real number in it, you will get an integer as output

whole sleet Dec 16, 2021, 5:14 PM

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Note it should say:
k : R → Z
k(x) = ceil(x/2)
They didn't put a space or anything between those two different statements, which is weird

toxic lion Dec 16, 2021, 5:15 PM

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^

the braces that $$\frac{x}{2}$$ is in represent the ceiling function

elfin berryBOT Dec 16, 2021, 5:15 PM

#

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

marsh citrusBOT Dec 16, 2021, 5:26 PM

#

@nimble owl Has your question been resolved?

nimble owl Dec 16, 2021, 5:31 PM

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toxic lion k is a function from the set of real numbers R to the set of integers Z

See I’m taking online classes and so I don’t really get to ask many questions I’ve been somewhat teaching myself but could you explain wtf this means? Please 🥺

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What I understand is

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R is real #s

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Z means integers

toxic lion Dec 16, 2021, 5:32 PM

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Yes

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do you know what a function is?

nimble owl Dec 16, 2021, 5:33 PM

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K(x) is y and to find out what y is you need x/2

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Tbh I don’t think so

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Maybe tho

toxic lion Dec 16, 2021, 5:34 PM

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I think you should learn that first 😛
Learn the basics of a function, I myself just learnt what functions are, what their domains and ranges are

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so I suggest you get to work and read the text book 😬

nimble owl Dec 16, 2021, 5:34 PM

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Like Ik what range and domain is

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Like I’ve read and watched videos but basically I need like a baby explanation if that’s even possible

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If not I’ll just look more that’s why I got on here

toxic lion Dec 16, 2021, 5:37 PM

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To be honest, I think you should just read the textbook or watch more videos for now, and if you get confused anywhere you can ask here

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like actually study it and understand what it means

nimble owl Dec 16, 2021, 5:37 PM

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I’m trying ): but thanks

toxic lion Dec 16, 2021, 5:37 PM

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to help you somewhat, the braces are not just normal braces

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it's the ceiling function or the greatest integer function

nimble owl Dec 16, 2021, 5:38 PM

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I’ll come back later tho lmao

#

Ik about that but thanks!

marsh citrusBOT Dec 16, 2021, 5:41 PM

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nimble owl Dec 16, 2021, 5:51 PM

#

toxic lion I think you should learn that first 😛 Learn the basics of a function, I myself ...

So to my understanding a function takes an input, and creates an output essentially like f(x)=x+1

marsh citrusBOT Dec 16, 2021, 5:51 PM

#

nimble owl So to my understanding a function takes an input, and creates an output essentia...

nimble owl Dec 16, 2021, 5:53 PM

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toxic lion to help you somewhat, the braces are not just normal braces

So my understanding is you put in a real # to…nvm I’m lost again like I guess I can research it myself if you want but I guess it’s the arrow that’s throwing me off

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Cause so far this is what I know what the arrow does

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I’m gonna watch a video but if you or someone could help explain what the arrow means in baby terms

cunning citrus Dec 16, 2021, 5:55 PM

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nimble owl I’m gonna watch a video but if you or someone could help explain what the arrow ...

what arrow?

nimble owl Dec 16, 2021, 5:56 PM

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toxic lion to help you somewhat, the braces are not just normal braces

This one

cunning citrus Dec 16, 2021, 5:56 PM

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$k:\mathbb{R}\to\mathbb{Z}$?

elfin berryBOT Dec 16, 2021, 5:56 PM

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Mosh

cunning citrus Dec 16, 2021, 5:56 PM

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it means k, the function, maps from R to Z

nimble owl Dec 16, 2021, 5:57 PM

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So like it can be any # that is a real # to an integer?

cunning citrus Dec 16, 2021, 5:57 PM

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yes

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with the mapping $x\mapsto\ceil{\frac{x}{2}}$

elfin berryBOT Dec 16, 2021, 5:58 PM

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Mosh

toxic lion Dec 16, 2021, 5:58 PM

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What it means is, if you put any real number from R in k(x), you will get an Integer as output

nimble owl Dec 16, 2021, 5:58 PM

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Ohhhhh

toxic lion Dec 16, 2021, 5:58 PM

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so R is the domain and Z is the range

nimble owl Dec 16, 2021, 5:58 PM

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toxic lion so R is the domain and Z is the range

Thank you 😭

cunning citrus Dec 16, 2021, 5:59 PM

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more commonly you see the following notation:

$f:X\to Y \ x\mapsto f(x)$

elfin berryBOT Dec 16, 2021, 5:59 PM

#

Mosh

cunning citrus Dec 16, 2021, 5:59 PM

#

f is a rule that goes from X to Y, with x in X going to f(x) in Y

#

that's the "abstract" definition of a function

nimble owl Dec 16, 2021, 5:59 PM

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Like f is a function?

cunning citrus Dec 16, 2021, 5:59 PM

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yes

nimble owl Dec 16, 2021, 6:00 PM

#

Got it

marsh citrusBOT Dec 16, 2021, 6:15 PM

#

@nimble owl Has your question been resolved?

#

Channel closed

Closed by @nimble owl

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kindred maple Dec 16, 2021, 6:54 PM

#

Ok so let's say I have this wind turbine that can only charge my device if the wind speed is 5m/s and above.

The wind speed over 24h follows this expression:
v(t)=Acos(kt)+B

t=hours passed since 00:00
v(t)=wind speed for a given value t

The problem here is finding k, A and B. And we are given a few pieces of information to do this:
-Wind speed starts at it's highest point 14m/s and after a while goes to it's smallest point 2m/s.
-The device charges for 14 hours that day

A and B are trivial (6 and 8) but I'm having trouble finding a value for k

marsh citrusBOT Dec 16, 2021, 6:54 PM

#

kindred maple Ok so let's say I have this wind turbine that can only charge my device if the w...

kindred maple Dec 16, 2021, 6:56 PM

#

(It then asks to find the wind speed at the end of the day (t=24) so I need to figure out the full equation)

marsh citrusBOT Dec 16, 2021, 7:11 PM

#

@kindred maple Has your question been resolved?

marsh citrusBOT Dec 16, 2021, 7:43 PM

#

@kindred maple Has your question been resolved?

marsh citrusBOT Dec 16, 2021, 8:44 PM

#

@kindred maple Has your question been resolved?

marsh citrusBOT Dec 16, 2021, 10:44 PM

#

@kindred maple Has your question been resolved?

rotund pike Dec 16, 2021, 11:05 PM

#

@kindred maple What's the highest point of normal cosine?

kindred maple Dec 16, 2021, 11:06 PM

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You mean 1?

rotund pike Dec 16, 2021, 11:07 PM

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Yes. What's the lowest point?

kindred maple Dec 16, 2021, 11:07 PM

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-1

rotund pike Dec 16, 2021, 11:07 PM

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How far apart are those?

kindred maple Dec 16, 2021, 11:07 PM

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2

rotund pike Dec 16, 2021, 11:07 PM

#

So, cosine has a height of 2, so to speak.

#

What's the height of the modified cosine in your problem?

kindred maple Dec 16, 2021, 11:07 PM

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A* 2= 12

rotund pike Dec 16, 2021, 11:07 PM

#

Right.

#

So, now you know A.

#

So, if we just have 6 cos(...), what's the highest point of that?

kindred maple Dec 16, 2021, 11:08 PM

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6

rotund pike Dec 16, 2021, 11:08 PM

#

How much do you have to add to that to get your problem's highest point?

kindred maple Dec 16, 2021, 11:08 PM

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8

#

I mentioned I know these already

rotund pike Dec 16, 2021, 11:09 PM

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Oh, sorry.

#

OK, so the device charges for 14 hours.

kindred maple Dec 16, 2021, 11:10 PM

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Yeah so v(t) > 5 for those 14 hours

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If you set v(14)=5 and solve for k you can get the correct answer but you can also get an incorrect answer (there are an infinite number of answers but only the “first” one is correct) Idk of a way to show that one specifically is the correct one

nimble owl Dec 16, 2021, 11:28 PM

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Can someone explain what NAND does

rotund pike Dec 16, 2021, 11:28 PM

#

@nimble owl Sorry, this channel is taken by someone else. To ask a question of your own, see the new rules in #❓how-to-get-help.

#

@kindred maple Yeah, it appears that π/21 and π/15 work, and I think you're correct about infinite solutions. I don't see anything that disqualifies either in the problem description.

#

,w Plot[{5,6Cos[Pi/21 t]+8,6Cos[Pi/15 t]+8},{t,0,24}]

elfin berryBOT Dec 16, 2021, 11:31 PM

#

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kindred maple Dec 16, 2021, 11:32 PM

#

kindred maple (It then asks to find the wind speed at the end of the day (t=24) so I need to f...

The issue is this

#

(Btw this was just me trying to remember the description so it’s not 100% accurate)

#

They basically want the full function that describes wind speed over the 24 hours

#

Also those 2 graphs do not seem to be equal at x=14

#

Only the red one makes sense

rotund pike Dec 16, 2021, 11:36 PM

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The grey one goes down at 10 and comes up at 20.

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So, up for 10 hours, then up for the last 4 hours.

kindred maple Dec 16, 2021, 11:38 PM

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Oh, I see what you mean, I don’t think that’s allowed. Im pretty sure it said something like it “charged until the 14th hour”

rotund pike Dec 16, 2021, 11:38 PM

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Oh, in that case, if you change k, it's going to stretch or compress it horizontally and it won't hit y = 5 for the first time at x = 14.

#

So the only solution is the red one.

#

As far as getting it, 5 as the output of the modified cosine is the same as -1/2 for the original cosine.

kindred maple Dec 16, 2021, 11:39 PM

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But how do I show that mathematically? Cause if I solve for k I take an inverse of cos so infinite solutions

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Yeah -1/2 was what I had too

rotund pike Dec 16, 2021, 11:40 PM

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The earliest positive angle that gives a cosine of -1/2 is what?

kindred maple Dec 16, 2021, 11:40 PM

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But why is it that the solution would be the earliest positive angle?

rotund pike Dec 16, 2021, 11:41 PM

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Because we start at zero and we go up. Then the first time it hits 5 is at x = 14.

#

So, the angle has to be positive to be above 0.

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Then it's the first time a working angle occurs or else it'd hit 5 before that.

kindred maple Dec 16, 2021, 11:43 PM

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Sorry I read that 5 times but I don’t understand it lol

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Don’t we start by going down?

rotund pike Dec 16, 2021, 11:43 PM

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OK, so it'll start at angle 0 at x = 0.

#

Then as you increase x, the angle increases.

kindred maple Dec 16, 2021, 11:43 PM

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With you

rotund pike Dec 16, 2021, 11:44 PM

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Then we want to get to cos(θ) = -1/2 one time.

#

We don't want to get to it one time and then continue to the next time.

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Does it make sense why?

kindred maple Dec 16, 2021, 11:45 PM

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I mean yeah

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It would decrease to quickly and would not charge for 14 hours

rotund pike Dec 16, 2021, 11:45 PM

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Right. It would be like the grey line above.

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It goes down and then we get it when it's coming up and crosses 5 going up.

#

But we want the first time it crosses 5 when it's going down.

#

That's like the red line.

kindred maple Dec 16, 2021, 11:46 PM

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I see what you mean now

#

I mean the issue here is setting v(14)=5 because it only solves for the value at that point, but I guess there’s no better way of doing it then?

rotund pike Dec 16, 2021, 11:47 PM

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Right.

#

So, we get that first angle that works.

#

cos(θ) = -½ in the third quadrant.

#

That's like 4/3 π, I think.

#

,calc cos(4/3 pi)

elfin berryBOT Dec 16, 2021, 11:49 PM

#

Result:

-0.5

rotund pike Dec 16, 2021, 11:50 PM

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And then we adjust it so that 4/3 π = 14k.

kindred maple Dec 16, 2021, 11:51 PM

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k= 4pi/42 ?

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But I thought the correct answer for k was pi/21

rotund pike Dec 16, 2021, 11:53 PM

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Yeah, let me see what I did wrong.

kindred maple Dec 16, 2021, 11:54 PM

#

,calc cos(2/3pi)

elfin berryBOT Dec 16, 2021, 11:54 PM

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Result:

-0.5

kindred maple Dec 16, 2021, 11:54 PM

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I think we need that solution

rotund pike Dec 16, 2021, 11:54 PM

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Oh yeah.

#

Sorry, I was thinking of sine.

#

That was the problem.

#

Yeah, second quadrant is for cosine.

#

So, 2/3 π = 14k.

kindred maple Dec 16, 2021, 11:55 PM

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Yeah now it becomes pi/21

#

So for this sort of problem, you’d basically have to reason your way to finding the solution for k that fits?

rotund pike Dec 16, 2021, 11:56 PM

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Yeah, you draw a graph.

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Doesn't have to be exact. Just to get an idea of what you're looking for.

kindred maple Dec 16, 2021, 11:57 PM

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Makes sense

rotund pike Dec 16, 2021, 11:57 PM

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Then you see you want it to hit the y = 5 line first time at x = 14.

#

And you go from there.

kindred maple Dec 16, 2021, 11:57 PM

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Alright, that solves my problem then thx!

rotund pike Dec 16, 2021, 11:57 PM

#

You're welcome.

kindred maple Dec 16, 2021, 11:57 PM

#

.close

marsh citrusBOT Dec 16, 2021, 11:57 PM

#

Channel closed

Closed by @kindred maple

Use .reopen if this was a mistake.

marsh citrusBOT Jan 13, 2022, 7:18 PM

#

Available help channel!

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mortal palm Jan 13, 2022, 7:37 PM

#

marsh citrusBOT Jan 13, 2022, 7:37 PM

#

mortal palm

mortal palm Jan 13, 2022, 7:41 PM

#

<@&286206848099549185>

#

need answers quick plz

lusty swift Jan 13, 2022, 7:49 PM

#

You havent asked a question

mortal palm Jan 13, 2022, 7:54 PM

#

whatthe

#

lusty swift Jan 13, 2022, 7:54 PM

#

That’s a great piece of paper, you havent asked a question. What are you having trouble understanding? What have you done so far?

mortal palm Jan 13, 2022, 7:55 PM

#

i need help with all of the word problem

#

i've been sitting here staring at it for 20 minutes and dont know where to start

marsh citrusBOT Jan 13, 2022, 8:11 PM

#

@mortal palm Has your question been resolved?

mortal palm Jan 13, 2022, 8:26 PM

#

uhh <@&286206848099549185>

#

is anyone able to help?

marsh citrusBOT Jan 13, 2022, 8:57 PM

#

@mortal palm Has your question been resolved?

mortal palm Jan 13, 2022, 8:57 PM

#

well thanks for the help guys

marsh citrusBOT Jan 13, 2022, 8:57 PM

#

Channel closed

Closed by @mortal palm

Use .reopen if this was a mistake.

#

Available help channel!

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Remember:
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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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quasi sequoia Jan 13, 2022, 9:06 PM

#

how do i use factorials in a calculator

marsh citrusBOT Jan 13, 2022, 9:06 PM

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quasi sequoia how do i use factorials in a calculator

quasi sequoia Jan 13, 2022, 9:07 PM

#

i want to do 365/365, 364/365..... all the way to 345/365

tacit fjord Jan 13, 2022, 9:08 PM

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unless this is your most basic calculator

#

there is a factorial button

quasi sequoia Jan 13, 2022, 9:09 PM

#

do i replace n with 365?

#

i tried 365!/345!

#

got NaN

tacit fjord Jan 13, 2022, 9:09 PM

#

use an online calc

quasi sequoia Jan 13, 2022, 9:09 PM

#

thats what im doing

glacial hedge Jan 13, 2022, 9:09 PM

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Too big. Most calculators only reach 10^100

tacit fjord Jan 13, 2022, 9:09 PM

#

wolfram

#

,w 365!/345!

elfin berryBOT Jan 13, 2022, 9:10 PM

#

Results provided by WolframAlpha

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tacit fjord Jan 13, 2022, 9:10 PM

#

wait what was the full prob again

#

,w 365!/345!/365^20

elfin berryBOT Jan 13, 2022, 9:10 PM

#

Results provided by WolframAlpha

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quasi sequoia Jan 13, 2022, 9:11 PM

#

okay thanks

#

.close

marsh citrusBOT Jan 13, 2022, 9:12 PM

#

Channel closed

Closed by @quasi sequoia

Use .reopen if this was a mistake.

quasi sequoia Jan 13, 2022, 9:13 PM

#

.reopen

marsh citrusBOT Jan 13, 2022, 9:13 PM

#

✅

quasi sequoia Jan 13, 2022, 9:13 PM

#

nvm

#

.close

marsh citrusBOT Jan 13, 2022, 9:13 PM

#

Channel closed

Closed by @quasi sequoia

Use .reopen if this was a mistake.

#

Available help channel!

Send your question here to claim the channel.

Remember:
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• Show your work, and if possible, explain where you are stuck.
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hazy lion Jan 13, 2022, 9:37 PM

#

marsh citrusBOT Jan 13, 2022, 9:37 PM

#

hazy lion

hazy lion Jan 13, 2022, 9:37 PM

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okay so

#

i think i got E[X]

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but now im confused on V[X]

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im assuming i should just use the E[X^2] - E[X]^2

tough plume Jan 13, 2022, 9:38 PM

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It should just be a formula stare

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oh wait hmm yeah

hazy lion Jan 13, 2022, 9:38 PM

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but

tough plume Jan 13, 2022, 9:38 PM

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Is it complicated

hazy lion Jan 13, 2022, 9:38 PM

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i cant figure out how this works out

#

since you get like

#

i mean what the heck is $E[(Y_1 + \dots + Y_n)^2]$ even

elfin berryBOT Jan 13, 2022, 9:39 PM

#

jan Niku

tough plume Jan 13, 2022, 9:39 PM

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Uhh can you directly use the PMF of X

hazy lion Jan 13, 2022, 9:39 PM

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i have no idea

tough plume Jan 13, 2022, 9:39 PM

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hazy lion im assuming i should just use the E[X^2] - E[X]^2

If this one fails try the literal definition of variance

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That one if you can use the PMF directly

hazy lion Jan 13, 2022, 9:40 PM

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literal definition?

tough plume Jan 13, 2022, 9:40 PM

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You can compute the definition of varaince

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E((X-EX)^2)

hazy lion Jan 13, 2022, 9:40 PM

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thonk

#

wait

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is mu = E[X]

tough plume Jan 13, 2022, 9:40 PM

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It's not the same

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np is EX

hazy lion Jan 13, 2022, 9:41 PM

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because we have that $V[X] = E[(X-\mu)^2]$

elfin berryBOT Jan 13, 2022, 9:41 PM

#

jan Niku

tough plume Jan 13, 2022, 9:41 PM

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yes

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If so yes

hazy lion Jan 13, 2022, 9:41 PM

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but i dont think $E[X] = \mu$

tough plume Jan 13, 2022, 9:41 PM

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I'm writing that

elfin berryBOT Jan 13, 2022, 9:41 PM

#

jan Niku

tough plume Jan 13, 2022, 9:41 PM

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Uhh

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Mu is just a symbol

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It is E(X)

hazy lion Jan 13, 2022, 9:41 PM

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shit one sec

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someone at the door

tough plume Jan 13, 2022, 9:41 PM

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Variance is literally squared differences from mean

hazy lion Jan 13, 2022, 9:42 PM

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isnt it implied that mu is the true mean

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and E[X] is just something you calculate from data

hazy lion Jan 13, 2022, 9:44 PM

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elfin berry **jan Niku**

like in this, we have a statistic and an unknown parameter

dry prawn Jan 13, 2022, 9:44 PM

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hazy lion isnt it implied that mu is the true mean

usually

dry prawn Jan 13, 2022, 9:44 PM

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hazy lion and E[X] is just something you calculate from data

no, expectation is related to distributions, which exist outside of statistics and data

hazy lion Jan 13, 2022, 9:45 PM

#

okay so

#

I should be able to use then $V[X] = E[(X-E[X])^2)$

elfin berryBOT Jan 13, 2022, 9:45 PM

#

jan Niku

hazy lion Jan 13, 2022, 9:46 PM

#

lemme try

dry prawn Jan 13, 2022, 9:46 PM

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yes

hazy lion Jan 13, 2022, 9:48 PM

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im not sure this makes the problem easier

dry prawn Jan 13, 2022, 9:48 PM

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actually i was about to say

#

you can make the problem easier by noting that the Y_i are all independent

hazy lion Jan 13, 2022, 9:49 PM

#

$V[X] = E[X^2] - 2E[XE[X]]+E[E[X]^2]$

elfin berryBOT Jan 13, 2022, 9:49 PM

#

jan Niku

hazy lion Jan 13, 2022, 9:49 PM

#

dry prawn you can make the problem easier by noting that the Y_i are all independent

is this how you end up with like

dry prawn Jan 13, 2022, 9:49 PM

#

that just simplifies to E[X^2] - E^2[X]

hazy lion Jan 13, 2022, 9:49 PM

#

so you mean using the other formula

hazy lion Jan 13, 2022, 9:49 PM

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dry prawn that just simplifies to E[X^2] - E^2[X]

it does?

#

oh

dry prawn Jan 13, 2022, 9:50 PM

#

if random variables are independent, the variance of their sum is the sum of their variance

hazy lion Jan 13, 2022, 9:50 PM

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E(XE(X)) = E(X)^2

dry prawn Jan 13, 2022, 9:50 PM

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yes since E[X] is a constant so it can be removed from the outer expectation

#

yes

hazy lion Jan 13, 2022, 9:50 PM

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okay one sec

#

lemme use this

#

I'm still not sure how to do this

#

the E(X^2) term

#

this was the original issue i was curious about

dry prawn Jan 13, 2022, 9:51 PM

#

that won't be fun to calculate

dry prawn Jan 13, 2022, 9:52 PM

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dry prawn if random variables are independent, the variance of their sum is the sum of the...

you should use this

hazy lion Jan 13, 2022, 9:52 PM

#

oh you mean dont use any formula at all?

dry prawn Jan 13, 2022, 9:52 PM

#

i mean, do you know the variance of a Bernoulli(p) rv?

hazy lion Jan 13, 2022, 9:52 PM

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no

#

i mean i could google it

dry prawn Jan 13, 2022, 9:53 PM

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this is one you can find easily

hazy lion Jan 13, 2022, 9:53 PM

#

pq

hazy lion Jan 13, 2022, 9:53 PM

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dry prawn this is one you can find easily

find?

dry prawn Jan 13, 2022, 9:53 PM

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sure p(1-p)

hazy lion Jan 13, 2022, 9:54 PM

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dry prawn this is one you can find easily

using the formula?

dry prawn Jan 13, 2022, 9:54 PM

#

dry prawn if random variables are independent, the variance of their sum is the sum of the...

now using this, you have n Bernoulli(p) rvs, so their total variance is just np(1-p)

#

which formula?

hazy lion Jan 13, 2022, 9:54 PM

#

E(x^2)-E(X)^2

dry prawn Jan 13, 2022, 9:54 PM

#

sure

hazy lion Jan 13, 2022, 9:54 PM

#

blobsweat

#

lemme see if i can get it

dry prawn Jan 13, 2022, 9:55 PM

#

bernoulli is pretty straightforward to work with methinks

hazy lion Jan 13, 2022, 9:56 PM

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im not honestly sure

#

its the same problem E(x^2)

#

oh maybe you use the other one

dry prawn Jan 13, 2022, 9:58 PM

#

$Y = \begin{cases} 1 & \text{w.p. } p \ 0 & \text{w.p. } 1-p \end{cases} \ E[Y] = (1) p + (0) (1-p) = p \ E[Y^2] = (1^2) p + (0^2) (1-p) = p$

hazy lion Jan 13, 2022, 9:58 PM

#

oh you just use 1

#

😄

dry prawn Jan 13, 2022, 9:58 PM

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so E[X^2] - E[X]^2 = p - p^2 yeah?

hazy lion Jan 13, 2022, 9:58 PM

#

pq

dry prawn Jan 13, 2022, 9:58 PM

#

sure

hazy lion Jan 13, 2022, 9:58 PM

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so then

#

so we got E[X^2]

#

we know E[X] = np

#

then pq-n^2p^2

dry prawn Jan 13, 2022, 9:59 PM

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no

#

pq is the variance of a single bernoulli

hazy lion Jan 13, 2022, 10:00 PM

#

oh

dry prawn Jan 13, 2022, 10:00 PM

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but the binomial is a sum of n bernoullis

hazy lion Jan 13, 2022, 10:00 PM

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were changing from the notation of the problem

dry prawn Jan 13, 2022, 10:00 PM

#

true, one sec

hazy lion Jan 13, 2022, 10:00 PM

#

so because of the variance thing you said

#

we can

#

we split apart the E(X^2)

elfin berryBOT Jan 13, 2022, 10:00 PM

#

Steakanator

dry prawn Jan 13, 2022, 10:00 PM

#

this thing is true for all of the Y_i

#

so Var(Y_i) = p(1-p)

hazy lion Jan 13, 2022, 10:01 PM

#

i got lost a little

#

im trying to track back

#

we were at E(X^2) = E( (y_1 + ... + y_n) ^2 )

dry prawn Jan 13, 2022, 10:01 PM

#

the original question says the Y_i ~ Bernoulli(p)

hazy lion Jan 13, 2022, 10:01 PM

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yea

dry prawn Jan 13, 2022, 10:01 PM

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i'm telling you to stop looking at E[X^2]

dry prawn Jan 13, 2022, 10:01 PM

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dry prawn that won't be fun to calculate

all the way back here

hazy lion Jan 13, 2022, 10:02 PM

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oh

#

instead we are using

#

V[X] = V[Y_1] + ... + V[Y_n]

#

i remember

dry prawn Jan 13, 2022, 10:02 PM

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yes

hazy lion Jan 13, 2022, 10:02 PM

#

okay so

#

thats just npq

#

like you expect

dry prawn Jan 13, 2022, 10:02 PM

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since the Ys are all independent

hazy lion Jan 13, 2022, 10:02 PM

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hype

dry prawn Jan 13, 2022, 10:02 PM

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yes

hazy lion Jan 13, 2022, 10:03 PM

#

and this happens because

#

y ~ bern(p)

#

this implies that each y is iid

#

then the variance thing you said

#

this all follows

#

blobsweat

dry prawn Jan 13, 2022, 10:03 PM

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yes

hazy lion Jan 13, 2022, 10:03 PM

#

sorry im dumb steak

#

thank you

dry prawn Jan 13, 2022, 10:03 PM

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no you aren't

#

prob is hard

hazy lion Jan 13, 2022, 10:03 PM

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lol well

#

shes like

#

"youve done this problem before in the last class"

#

this is not what the last class covered

dry prawn Jan 13, 2022, 10:03 PM

#

welp

hazy lion Jan 13, 2022, 10:03 PM

#

idk who told her we do this in the previous course

#

gonna be a fun semester

#

.close

marsh citrusBOT Jan 13, 2022, 10:05 PM

#

Channel closed

Closed by @hazy lion

Use .reopen if this was a mistake.

#

Available help channel!

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hollow turret Jan 13, 2022, 10:55 PM

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I have this problem assigned where I need to make equations and a matrix in order to solve it but I am getting very confused by the wording and how I would set up any of the equations because I don’t really know what it’s asking

marsh citrusBOT Jan 13, 2022, 10:55 PM

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hollow turret I have this problem assigned where I need to make equations and a matrix in orde...

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@hollow turret Has your question been resolved?

knotty robin Jan 13, 2022, 11:38 PM

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hollow turret I have this problem assigned where I need to make equations and a matrix in orde...

The way I read this, you have 30KG of pure tin, you need to add an alloy to it that is made out of both bronze and tin, in order for the final result would have 75% of its weight in bronze

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For example, lets say you add 1KG of bronze alloy B
that means you added 850grams of bronze and 150 grams of tin, leaving to a total of 30.150 kg of tin and 850grams of bronze totalling 31kg

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obviously, this 31kg alloy is not 75% bronze, so you need to keep adding alloy B until it reaches there

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you can make this an equation

marsh citrusBOT Jan 13, 2022, 11:50 PM

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@hollow turret Has your question been resolved?

marsh citrusBOT Jan 14, 2022, 12:20 AM

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near rose Jan 14, 2022, 12:39 AM

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How would I find the arc length here? The answer key says it is 28.375 but I am continually getting 26.086 or 28.558

marsh citrusBOT Jan 14, 2022, 12:39 AM

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near rose How would I find the arc length here? The answer key says it is 28.375 but I am ...

near rose Jan 14, 2022, 12:40 AM

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The original derivative I had was simply 4x, but i realized thats wrong. Should I put in the second derivative?

marsh citrusBOT Jan 14, 2022, 12:56 AM

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@near rose Has your question been resolved?

full flume Jan 14, 2022, 1:00 AM

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i keep getting ~14

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,w integrate(2sqrt(1 + 16x^2 / (4*x^2 - 16)), (x, 2, 4))

elfin berryBOT Jan 14, 2022, 1:00 AM

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full flume Jan 14, 2022, 1:00 AM

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,w integrate(sqrt(1 + y^2/(4y^2 + 64)), (y, -4sqrt(3), 4sqrt(3)))

elfin berryBOT Jan 14, 2022, 1:00 AM

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Results provided by WolframAlpha

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near rose Jan 14, 2022, 1:02 AM

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hm, I wonder if there is a key error

full flume Jan 14, 2022, 1:03 AM

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yeah idk 🤷
i mean it's been awhile since i've integrated for arc length but it's pretty straightforward (especially if i cheat with a computer lol)
maybe i'm missing something

near rose Jan 14, 2022, 1:04 AM

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I legit cant find ANYTHING online about volume and hyperbolas, its just precalc stuff i find. I'll keep looking ig

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<@&286206848099549185> Sorry for pingin

gilded smelt Jan 14, 2022, 1:13 AM

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@near rose like this perhaps

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parametricize it

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it looks more reasonable to integrate than the integral shown above to me

near rose Jan 14, 2022, 1:14 AM

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We arent there yet XD, just started Calc 2,

gilded smelt Jan 14, 2022, 1:14 AM

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hmm

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what unit are you on rn?

near rose Jan 14, 2022, 1:14 AM

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unit 6 of james Stewart

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So like volume with revolution and cross sections

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and arc length

gilded smelt Jan 14, 2022, 1:15 AM

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shouldn't that be unit 8? arc length?

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or unit 13 lol

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idk, google is probably giving me different answers for different editions

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regardless

near rose Jan 14, 2022, 1:16 AM

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I rlly dont know because we use two books 💀

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idk if I could maybe take the second derivative and d/dx the integral maybe

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nvm thats wrong

gilded smelt Jan 14, 2022, 1:19 AM

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here wait

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nearly got it

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it's this

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but I can't manage the partial fraction properly

near rose Jan 14, 2022, 1:20 AM

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Well we can use calculator so

full flume Jan 14, 2022, 1:20 AM

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you still get the same value 14.5ish

near rose Jan 14, 2022, 1:20 AM

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yeah

gilded smelt Jan 14, 2022, 1:21 AM

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I mean I'd like the exact number

near rose Jan 14, 2022, 1:21 AM

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the number in the key is 28.375 no rounding

tacit fjord Jan 14, 2022, 1:21 AM

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ill have a go

gilded smelt Jan 14, 2022, 1:21 AM

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yup, that's what I got

tacit fjord Jan 14, 2022, 1:22 AM

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nvm

gilded smelt Jan 14, 2022, 1:22 AM

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tacit fjord

we believe in you!

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LOL

tacit fjord Jan 14, 2022, 1:22 AM

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u got the answer right?

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lol

gilded smelt Jan 14, 2022, 1:22 AM

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well, an approximation thereof

tacit fjord Jan 14, 2022, 1:22 AM

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huh?

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using desmos?

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or wut

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we didnt get closed form did we lol

gilded smelt Jan 14, 2022, 1:23 AM

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I mean desmos is just another calculator

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I use it cause it does integrals easily on my computer P:

near rose Jan 14, 2022, 1:23 AM

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^

gilded smelt Jan 14, 2022, 1:23 AM

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plus helps to visualise graphs

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my calculator I trust more, but takes much longer to use and is a pain to screenshot

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no exact form though D:

full flume Jan 14, 2022, 1:23 AM

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yeah integrating wrt x, y, and parameterizeing all give the same value
the wolfram wrt y gives a formula not sure if it's closed form lol idk what E() is

tacit fjord Jan 14, 2022, 1:23 AM

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$$4x^2-y^2 = 16$$
$$x = 4$$

elfin berryBOT Jan 14, 2022, 1:24 AM

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Shuri2060

gilded smelt Jan 14, 2022, 1:24 AM

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full flume yeah integrating wrt `x`, `y`, and parameterizeing all give the same value the w...

E(x) = f(x), where f(y)=E(y)

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ez

tacit fjord Jan 14, 2022, 1:24 AM

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(4, 4sqrt(3))

full flume Jan 14, 2022, 1:25 AM

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wolfram says elliptic integral of the second kind

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so no closed form

tacit fjord Jan 14, 2022, 1:25 AM

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oh is it not

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smh

gilded smelt Jan 14, 2022, 1:26 AM

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... so we can't get an answer?

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that isn't a decimal approxmation*?

near rose Jan 14, 2022, 1:26 AM

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decimal approx is fine for this tho

tacit fjord Jan 14, 2022, 1:26 AM

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that integral

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is an exact answer

gilded smelt Jan 14, 2022, 1:26 AM

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.... I guess

full flume Jan 14, 2022, 1:26 AM

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oh we can get an answer as precise as we want

tacit fjord Jan 14, 2022, 1:27 AM

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lemme try this way

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y = (4x^2-16)^(1/2)

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dy/dx = 4x(4x^2-16)^(-1/2)

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(dy/dx)^2 = 16x^2(4x^2-16)^(-1)

full flume Jan 14, 2022, 1:29 AM

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did you read my wolfram posts above?

tacit fjord Jan 14, 2022, 1:30 AM

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no

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we probably got the same thing

gilded smelt Jan 14, 2022, 1:30 AM

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trusting in wolfram alpha too much can lead to stupid mistakes

full flume Jan 14, 2022, 1:30 AM

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well you showed your work haha

tacit fjord Jan 14, 2022, 1:30 AM

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$$\int\sqrt{1+\frac{4x^2}{x^2-4}},dx$$

gilded smelt Jan 14, 2022, 1:31 AM

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scapeprof got into an argument with me the other day about how the (very real) solutions to a quadratic were hyperbolic/imaginary/complex

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since that's what wolfram alpha said....

full flume Jan 14, 2022, 1:31 AM

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gilded smelt trusting in wolfram alpha too much can lead to stupid mistakes

yeah i verified with https://gamma.sympy.org/ and https://www.integral-calculator.com/ as well
but they don't have discord bots

gilded smelt Jan 14, 2022, 1:31 AM

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which is just 5+16/(x^2-4)

elfin berryBOT Jan 14, 2022, 1:31 AM

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Shuri2060

tacit fjord Jan 14, 2022, 1:31 AM

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is this it?

gilded smelt Jan 14, 2022, 1:32 AM

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well I mean I went one step further, but yeah

tacit fjord Jan 14, 2022, 1:32 AM

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im multiplying this by 2

gilded smelt Jan 14, 2022, 1:32 AM

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go ahead

tacit fjord Jan 14, 2022, 1:32 AM

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but uh

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wait is this really the same thing?

gilded smelt Jan 14, 2022, 1:32 AM

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yup

tacit fjord Jan 14, 2022, 1:32 AM

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im dumb, how

gilded smelt Jan 14, 2022, 1:32 AM

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I did -16+16

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then divided the 4x^2-16 by x^2-4

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to get 4

tacit fjord Jan 14, 2022, 1:32 AM

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oh right yh yh

gilded smelt Jan 14, 2022, 1:32 AM

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1+4+16/(x^2-4)

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originally it was to do partial fractions

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but that actually messes things up more P:

near rose Jan 14, 2022, 1:33 AM

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This is so weird

tacit fjord Jan 14, 2022, 1:33 AM

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$$\int\sqrt{\frac{-4 + 5x^2}{x^2-4}},dx$$

full flume Jan 14, 2022, 1:33 AM

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i think it's just a key error, pretty sure we've conclusively shown that lol

elfin berryBOT Jan 14, 2022, 1:34 AM

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Shuri2060

near rose Jan 14, 2022, 1:34 AM

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lmaoo probably

gilded smelt Jan 14, 2022, 1:34 AM

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I'm sorry what

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that is not proper math

tacit fjord Jan 14, 2022, 1:34 AM

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me?

gilded smelt Jan 14, 2022, 1:34 AM

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yeah

tacit fjord Jan 14, 2022, 1:34 AM

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kinda done

gilded smelt Jan 14, 2022, 1:34 AM

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wait it is nvm

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I'm just sign blind

tacit fjord Jan 14, 2022, 1:34 AM

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kk