help-0

[stone shard]

ye

[olive zephyr]

but I put x * 3/4 * 2/3 * 1/2 = 6 in B)

[stone shard]

But that does not show that every one of them have 6 candies

This does

[olive zephyr]

ok can u tell me the equation to put in the A) answer box

and the equation to put in B)

[stone shard]

A:
(No. of candies) * 3/4 * 2/3 * 1/2 = 6
(No. of candies) = 24

B:
1/4 of 24 is 6 and 24-6 is 18 and 1/3 of 18 is 6 and 18-6 is 12 and 1/2 of 12 is 6

[olive zephyr]

Thx alot

[sullen echo]

<@&268886789983436800>

[tame falcon]

Thanks.

[olive zephyr]

Lol

[stone shard]

Nice

[olive zephyr]

@sullen echo @stone shard @tranquil tulip thanks for the help

[sullen echo]

I should be the one thanking you mate

[olive zephyr]

good night

[sullen echo]

gn

[cold mica]

is this equivalent

i presume it is

[spare fern]

In the first line

When you put a minus sign out of nowhere

[gleaming granite]

wait

🤦‍♂️

[spare fern]

It happens

[gleaming granite]

yee yee

thx

[spare fern]

Yw

[placid stag]

why does the limit of this function tend to 0 as x tends to infinity?

[vale wigeon]

the exponential grows faster than x^(2n+10)

[placid stag]

oh so if i have a exponential and an x i neglect the x in the limit?

[ionic jewel]

what

she was saying the bottom of the fraction gets bigger faster than the top, so it tends toward 0

[placid stag]

yes so in general if i have an (x) and an exponential i neglect the (x) in the when doing the limit at infinity

[vale wigeon]

i advise against trying to form rules like these

[placid stag]

oh okay

[ionic jewel]

what you can take away from this is that x^n grows slower than n^x

sure

might want physics in #old-network

[alpine sable]

well to me it was utter bullshit

why's everyone expect everyone to have a phone

[gleaming granite]

you have to put in your phone number?

[vague coral]

verify with* your phone number

[gleaming granite]

they all look like momentum problems

so use conservation of momentum or impulse momentum theorum

[modern void]

Question: Give and example of a complexe number z with absolute value/length 2 that doesn't exist in either the real and imaginary axis?

idk what my teacher meant with that

[ionic jewel]

it makes perfect sense

modulus 2, doesn't lie on an axis

[alpine sable]

damn

did they leave the server

or did they delete it

or got banned

oh

[ionic jewel]

a+bi, sqrt(a^2+b^2) = 2, and a !=0 and b !=0

@modern void

[jaunty rover]

can someone help me find the intersection points of a circle relation and a sideways parabola?

im very retarded

[modern void]

but what did she mean with absolute value/length 2?

[ionic jewel]

modulus 2

the distance between the origin and the point is 2

[modern void]

oh, so like 1+3i for example?

[ionic jewel]

no

[modern void]

wat

[ionic jewel]

i literally gave you the eqn for modulus

sqrt(1^1 + 3^2) = sqrt(10)

that doesn't look like 2

[modern void]

so i just have to fint a number that equals to 2?

or have I gotten this all wrong

[ionic jewel]

yes

[modern void]

@bunny can u give me an example of a number so that I have something to work with? 😂😂😭 exams in a week and i havent understood this shit yet

[ionic jewel]

sqrt(3) + i

[modern void]

thanks

[balmy sedge]

needing some help on this one, figured out you need the normal vector and you can use a point on the other plane to find your scalar but I'm not sure how to set up that, any help is thanked

[ionic jewel]

well step 1 is determine if the planes are parallel, if they aren't the distance is just 0

then where you are, you need a line parallel to the normal vector that passes through any point of your choosing on the other plane

you know what let me just link a website so i don't have to type it all out

lemme fine one

https://mathinsight.org/distance_point_plane

[balmy sedge]

ok thank you so much!

[loud talon]

What are the roots for x cube =1

Except 1

As the degree is three so the roots should be 3

Pls

@vast blaze

Can you tell me?

[gray isle]

have you started complex numbers?

[loud talon]

Yes

[gray isle]

look up (cube) roots of unity

[loud talon]

S what’s that ?

[gray isle]

look it up and find out

[abstract hedge]

It's not should be. It's "the maximum possible roots for a degree n is n"

So for a polynomial of degree 3, there can be atmost 3 roots

[gray isle]

for something simple like x^3 = 1,
i guess you could do something like
→ x^3 - 1 = 0
and factorise

[peak geyser]

the number of roots is always equal to degree, no ? the number of real roots may be less than

[gray isle]

then apply QF to the quadratic factor
alternatively you can go through polar form

depends if you consider multiplicity

[abstract hedge]

Ohh yeah. Complex roots are always equal. Real roots are less than or equal to

[balmy sedge]

@ionic jewel you're a saint thank you

[obsidian marsh]

can someone explain to me how i'd go about solving this through the conjugate gradient method?

[shut hemlock]

Can y'all solve this?

Marvin is a very high intellectual being

[fading jay]

read about Thomas algorithm

[alpine sable]

first of all this is a very complicated system, far too over complicated

but bascically just do rref

which i think you already did?

[rigid smelt]

please ping after a minimum of 15min

and can you tell the period of sine?

or just draw out the unit circle with some angle theta

and see what happens when you add 360 degree to it

see where it spins/goes to

[alpine sable]

Hello good morning

Can anyone help me with this?

[fading zephyr]

what's the question?

[ionic jewel]

"can someone help me with this?"

willing to bet it's area

perimeter doesn't look very fun

[fading zephyr]

https://tenor.com/view/the-simpsons-why-didnt-i-think-of-that-hank-scorpio-homer-simpson-you-only-move-twice-gif-20385109

please try an empty channel, the previous person's question is still unanswered

[alpine sable]

I have to find the area

Do you help me? 😭😂

[fading zephyr]

sure

let's take it from the top

is the first figure supposed to look circular at the right side?

[alpine sable]

I must find the area of that figure

It is a rectangle with a circular side and a triangular side

Is it free here

now?

lmao

[fading zephyr]

it's not free here

[alpine sable]

:((

[fading zephyr]

is there any more info?

we need to the radius or diameter of the circular part

oh we do have it

ok

the idea is that we use all of that info to split the drawing into chunks that we know how to calculate

let me make a drawing and send it to you

[alpine sable]

No, just that and the numbers there

[alpine sable]

Thanks a lot

[fading zephyr]

i would say we're still missing a bit of info for the small triangle

but you can already find the area of the rectangular and circular parts

in black is what you were given, in blue are observations we can make to fill out more data

for the second one you also need more info

are the two "ears" of the figure symmetric?

[alpine sable]

So this figure can't be made complete?

[fading zephyr]

not without knowing the base of the triangle or its hypotenuse or another angle or something

i don't see any way to calculate it as it is

[alpine sable]

I understand

And the following figures?

[fading zephyr]

as i said, for the second one, you need to know if the ears are symmetric

for the third, it should be as simple as area of triangle - area of circle

you're given the base and height of the triangle, and the radius of the circle, so this is straightforward

for the fourth, you have two concentric circles, and the idea is the same as in the third. take the area of the larger circle and subtract that of the smaller one.

for 5., you have enough information to split the house figure into a rectangle and a triangle with all important dimensions known, so just add the two together

number 6 looks tricky, but you can split it into a rectangle plus a triangle as above, and you still have all the info you need

height and base of triangle, and also of rectangle, so just add them up

i have no idea what the last figure is supposed to be

[alpine sable]

Ok, thanks u very much

[plucky crow]

Sin is periodic in how many degrees, that's ur answer

[hearty mortar]

can somebody help me with this qn

[fading jay]

find the equation of a straight line, then find the distance from this straight line to the center of the ball

[hearty mortar]

is there a way to use the vector method?

[fading jay]

from wikipedia

a=F,n=direction, p - central point balloon

[hearty mortar]

Ah I see thanks a lot

[alpine sable]

@fading zephyr

these?

[brave fossil]

Hi

I just have a quick question:

btw this isnt an exam/quiz its a past paper

am i correct? i not very confident in my answer.

[heady crest]

2nd derivative = 0 means it has to be inflection

1st derivative = 0 means the slope of the graph is flat at that point

[brave fossil]

right

so i'm correct?

[heady crest]

yes

wait

[brave fossil]

yay thanks

oh no

[heady crest]

it's not a local minimum

it can't be a local minimum because it's an inflection point

[brave fossil]

so A is wrong?

statement A that is

[heady crest]

the statement "the point cannot be a local minimum" is true

[brave fossil]

ohhh i didnt see the cannot

[heady crest]

if it was a local minimum it wouldn't be an inflection point

[brave fossil]

so if the first and second derivative = 0 then it must be an inflection point

[heady crest]

the first derivative doesn't matter when you're trying to figure out whether or not it's an inflection point

[brave fossil]

oh yea ik that

but in this case

[heady crest]

all you need is 2nd derivative = 0 to detirmen whether or not it's an inflection point

[brave fossil]

ah i see

[heady crest]

first derinavite doesn't matter. first derivative can be anything

[brave fossil]

I got another quick question

[heady crest]

yup

[brave fossil]

im not really sure what do put

[heady crest]

where did the 5 come from?

[brave fossil]

i forgot my logic about y i put 5

i cant remember soz

[heady crest]

yeah you just have to think it through

i'm trynig to work it out

so this is how the derivative goes

so you just have to compare that to what the question says

[brave fossil]

i mean

where did u get b-1=a-1?

did u just deduce it?

then a and b would be equal right

[heady crest]

the 5bx^(a-1) was given in the question

[brave fossil]

ahh right

so a=5?

[heady crest]

yup

[brave fossil]

thanks man!

appreciated

[indigo crown]

Hello, I have a question with a worked example.

I don't understand the part just before the conclusion

Why is -TU = UT?

[lapis current]

Distance can't be negative
So, they forced it be +ve

[indigo crown]

Sorry, I'm still trying to understand this. I thought UT is a vector... how does it show distance?

does it relate to direction?

[lapis current]

I haven't seen the word vector there
It can be direction, i can't be sure as we don't represent vectors like that

[indigo crown]

I thought it was a vector cos it's from the 3D vectors chapter in the textbook. But I understand what you mean. Thank you so much!

[little fossil]

anyone knows how to do this?

[wary stream]

Inequality concept?

[little fossil]

8th grade math 😦

[wary stream]

It's about inequalities

[little fossil]

yea

[wary stream]

Find the slope and y intercept of the lines

[little fossil]

y intercept is 3?

[wary stream]

Yes

[little fossil]

ooooo

it wants me to do it like this

[wary stream]

So do the same process

[little fossil]

x<-1?

for the straight line

[wary stream]

Read the instructions again

[little fossil]

i don't need the verticle line

so x<3?

for the horizontal line

[wary stream]

Is that a vertical or horizontal line?

[little fossil]

horizontal i think

y<3

[wary stream]

Yep

[little fossil]

ooo

so that'd be the answer?

[wary stream]

If you don't need the vertical line, then yes, that's it

[little fossil]

the slope is 0?

[wary stream]

Is it?

[little fossil]

i think so

[wary stream]

Are you sure?

[little fossil]

i think

[wary stream]

But are you sure?

[little fossil]

no

[wary stream]

Well, you should be sure of your answers

[little fossil]

not when math is hard :/

[wary stream]

If you know the concept, it's not hard

What is slope, and how is it related in an equation?

[little fossil]

rise/run?

[wary stream]

Yes

[little fossil]

ooo

[wary stream]

What's the general form of an equation that involves slope?

[little fossil]

y=mx+b?

oh shoot there is no slope

0-0

[wary stream]

Meaning slope equals?

[little fossil]

mx+b

[wary stream]

For your question, slope equals?

[little fossil]

0

[wary stream]

Now are you sure?

[little fossil]

yea 🙂

[wary stream]

You are correct

[little fossil]

🐒

ty

[wary stream]

My method of teaching people is to show people, if they understand the concept, then they should not second guess themselves

[little fossil]

oh

what is math really used for btw

[wary stream]

Everything

Math is everything

[little fossil]

never used algebra and I've made it to 13 years

[wary stream]

Finance, accounting, etc, you use basic math, observation in stocks, to create equations, etc

Electronics uses math to compute

[little fossil]

not coding right???

[wary stream]

Coding uses math too

[little fossil]

bro what

[wary stream]

There's a concept called big O in computer science

That's the complexity of the program

[little fossil]

what's that

[wary stream]

Ascii, which computer uses, is math

[wary stream]

Look up big O notation

Include computer science in the search

[little fossil]

i found khan academy

[wary stream]

That should explain the basics well

[little fossil]

I can't even do simple linear math 😭

[wary stream]

See, math is everywhere

[little fossil]

yeah seems pretty scary

[wary stream]

History even has math, not algebra math but numbers for important historical events

[little fossil]

damn

[wary stream]

English and writing papers, word count is math, summation of the amount of characters used

[little fossil]

sounds like alot of math

[wary stream]

Most don't think too much into detail because they don't expect it because they don't need it but math is embedded into everything

[little fossil]

ohh

[wary stream]

Like if you're doing computer science, you don't need to know that writing/word count involves summation, but it exists

[little fossil]

nah bruh how you know all of this

[wary stream]

Common sense, experience, knowledge, etc

[vocal obsidian]

3+5cosx-4cos^2. small angle approximation and i need to find a,b and c in the form a+b/cx^2

[little fossil]

tf is a cos

[vocal obsidian]

cosine

[wary stream]

Trig function, cosine

[little fossil]

cousin

[obsidian marsh]

Question, sorry if i'm interrupting anything: Jacobi, Gauss-Seidel and Conjugate Gradient methods only work for square coefficient matrices, right?

[little fossil]

is that python

[wary stream]

No

[wild gale]

Alright bois here’s a fun one

[wary stream]

It's trig

[vocal obsidian]

small angle approximations]

[wild gale]

Which one fills up first

[little fossil]

trigger function??

[wary stream]

Trigonometry

[tranquil parcel]

Trigonometric

[little fossil]

wow

[jagged trout]

L

[vocal obsidian]

any help?

[wild gale]

How do you figure

[tranquil parcel]

On what

[vocal obsidian]

my question

[little fossil]

now their crossing wtf

[vocal obsidian]

3+5cosx-4cos^2. small angle approximation and i need to find a,b and c in the form a+b/cx^2

[wary stream]

Find the slope and y intercept of each line

[little fossil]

first one is 2

or is it neg 1

[wary stream]

Which line?

[little fossil]

23

no way

there's 2

so i'd right it in a y=mx+b

[wary stream]

Yes

[little fossil]

first line would be y=4/1+2

or i'm crazy

[wary stream]

Where's x?

[little fossil]

x?

what

[wary stream]

The variable

Slope equation

[little fossil]

b is the y intercept right

[wary stream]

Yes

[little fossil]

m is rise over run?

[wary stream]

Yes

[brave fossil]

@heady crest btw the answer was neither

[little fossil]

and x is x?

[little fossil]

lol

[kind sigil]

does anyone know the answer to this?

[little fossil]

what even is x in y=mx+b 🤨

[raven rover]

A variable

[little fossil]

yeah but like the slope

or what

[raven rover]

m is the slope

[little fossil]

b is y intercept

but what is x

[raven rover]

A variable

x is a variable

[little fossil]

yeah

[raven rover]

What does that variable represent?

[little fossil]

idk

[raven rover]

It represents an input

[little fossil]

of?

[raven rover]

y = mx + b graphs a line

[little fossil]

but if m is the slope

b is the intercept

then is x the x intercept or something

[raven rover]

and depending on what that line is, x will map to a given value of y

[little fossil]

https://cdn.discordapp.com/attachments/490557019623915520/852899347590545418/unknown.png

in this example

what would x be for the line with y intercept of 2

[raven rover]

If y = mx + b is the equation of a line, then x is just a variable

x only affects what the output is (the output is y)

x is a location, so to speak

[little fossil]

so it'd be y=4/1x+2

and x would always be x

[raven rover]

Which one?

[raven rover]

Yes

[little fossil]

the line with the y intercept of 2 in 23

[raven rover]

That slope is negative, so m < 0

[little fossil]

ohhhhhh

so y=-4/1x+2?

[raven rover]

Where are you getting the m = -4 from?

[little fossil]

since the line is going down

[raven rover]

why 4?

[little fossil]

3 mb

[raven rover]

there you go 🙂

The equation y = -3x + 2 graphs the line in 23 that you mentioned

[little fossil]

o okie ty

!

[raven rover]

👍

[little fossil]

now i'll pass math class lol

[neon burrow]

A bit stuck, don't know how to proceed. Any tips?

[raven rover]

trig sub?

Probably not

[crystal crag]

Take out x^4 from the bracket in the denominator, and then substitute the remaining terms in the bracket as some variable

[raven rover]

You might need a fancy u-sub

[neon burrow]

I see, I think I get the substitution

[raven rover]

$\frac{1}{x^6 (1 + \frac{1}{x^4})^{\frac{3}{4}}}$

[ocean seal]

Shen

[crystal crag]

It wud be x^5 in the denominator

[raven rover]

wait

RIGHT

oh that's tight - i gotta learn how to see those

$\frac{1}{x^5 (1 + \frac{1}{x^4})^{\frac{3}{4}}}$

[ocean seal]

Shen

[raven rover]

u = x^-4

du = -4 x ^ -5

[neon burrow]

Yup yup, ty guys

[raven rover]

it's more vv than me

but thanks 😅

[crystal crag]

And its shen who did the tex work :)

[raven rover]

:)

[neon burrow]

How does one not get scared of such integrals?

Half of the time I look at it and go "that's not my level"

[fresh flicker]

im in 9th grade can someone help pls

the questions are pre easy

[wary stream]

Don't ask to ask

[tall wharf]

so do you guys know how any trick to do like (x)^120 or any biggest power at power

[crystal crag]

It just happened that I had seen that integral before; you just need to "see" enough integrals and u r set :)

[raven rover]

You'll be okay

[wary stream]

Lots of practice

[raven rover]

The farther you get, the more you'll realize hey, i was scared to death of this _ years ago, and now i can do it

[tall wharf]

like (0.00875)^120 how to calculate ??

[wary stream]

A calculator?

[tall wharf]

yeah i got the answer but cant we do it without calc

[raven rover]

not easily

[tall wharf]

like arent they any tricks or steps to do it

[wary stream]

Look some up?

[tall wharf]

?

[wary stream]

You can look up exponent tricks

[raven rover]

google

[fresh flicker]

The letters that make up the word ISABELLA are written on cards and placed in a bag. One card is drawn from that bag

a.)what are the possible outcomes
b.)what re the most likley outcomes.
c.)what is the preobability of drawing a consonant.
d.)what is the probability of drawing a letter that is also in her last name, her last name is bradly

[raven rover]

@fresh flicker a:

Well, what are the possible outcomes from picking a letter at random?

what are your options?

[slow marten]

Oh I'm sorry

[raven rover]

all good ❤️

[fresh flicker]

The possible outcomes are ISABELLA

I S A B E L L A

[raven rover]

You don't need to count a letter twice, but yes

there you go - that's a start

[fresh flicker]

oh ok

and b would be l

[raven rover]

However, if you have multiple copies of a letter, than the chances of choosing that letter would be higher

why L?

[fresh flicker]

cus L is represented twice in the problem

as others are represented once

[raven rover]

you sure?

[fresh flicker]

um

no

[alpine sable]

am i allowed to send trig in here for help?

[raven rover]

@alpine sable being used, later

[raven rover]

well, you got A twice

You got L and A twice

[fresh flicker]

so the most likley is a and l

[raven rover]

which means the most likely outcomes are A and L, given that they appear the most often

[fresh flicker]

oh ok

Thanks

what about c tho

1.c

what is the prob of drawing a conostant

would that be 5-%

50%

[zenith trail]

Is this still being used?

[ashen wave]

When you are solving for inequalities and you make the bracket things in the photo, what are they called?

[pale terrace]

number line

how do I find the dot product of these 2 vectors

[ashen wave]

no Im talking about this part

[pale terrace]

that's the domain isn't it?

[ashen wave]

How do you know its not range?

[pale terrace]

it could be either

do you want to know the name of the method used here/

[rigid smelt]

Theres a formula for it

The dot product of two vector u and v with angle theta is |u|*|v|*cos(theta)

[pale terrace]

I'm getting a really big number

[rigid smelt]

Its a really long vector

Nothing is wrong with that

[pale terrace]

4.6k sounds normal?

[rigid smelt]

Yeah

[pale terrace]

okay thank you

[rigid smelt]

Tho im not sure if your calculation is correct, but starting with 70 qnd 115

I would be expecting some really big number

[grizzled yacht]

help

I forgot the steps on how to do this

[pale terrace]

my first instinct is to multiply 33.9 by 3/4

[dry vine]

q 6

I need help

[wary stream]

Vertical angle concept, supplementary angle concept, alternate interior/exterior angle concept, etc

[dry vine]

ye but I fotgot the start and formula for q 6-13

[wary stream]

Literally apply the concepts I just mentioned

[dry vine]

ooooooooooooooooooooooooooo thx I am stupid

[rich haven]

is the answer to this c?

[dense violet]

Help

[copper nebula]

@proven tide ? LOL

[glass lichen]

do you have a question?

[obsidian marsh]

Question, sorry if i'm interrupting anything: Jacobi, Gauss-Seidel and Conjugate Gradient methods only work for square coefficient matrices, right?

[copper nebula]

hmm

[glass lichen]

No, you're typing in a help channel, so what's your math question?

if you dont have a question, don't type

#❓how-to-get-help then

[rich haven]

help pls

[lost violet]

If $X_1, X_2, ..., X_{80}$ are independent random variables with distribution N (0,1), calculate with the program R, P (X^2_1 + X^2_2 + ··· + X^2_{80}> 76).

[ocean seal]

alef0
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[whole nacelle]

f(x)=3x,g(x)=x+4,h(x)=x2−1.Findh(f(5))

I need help with theses questions

[abstract totem]

g(x) isnt needed for this but take func of h and func of f and input 5 for x

[abstract totem]

we arent supposed to give answers i think mods here use the socratic method

[whole nacelle]

socratic method?

[abstract totem]

you get to the answer yourself through helpers asking you questions leading to the answer or giving hints

[whole nacelle]

This is a review for my finals. my teacher gave me like 3 pages of problems for the final exam

[cunning crow]

ask questions to encourage getting to the right answer: teach the process

[whole nacelle]

and I don't remember seeing that question

can someone help me with that also

[cunning crow]

that matrix is hard to read

[whole nacelle]

yea Ik sorry

he said thats how it will be for our final exam

Ill rewrite

[cunning crow]

or is that a set?

[whole nacelle]

I honestly don't know

[cunning crow]

if it's a set then it's the outputs of the equation, but if it's a matrix it's a manipulation from one matrix of numbers to another.

[alpine sable]

its both one-one and onto

[whole nacelle]

I chose one to one

[cunning crow]

is there information in the book that lets you know what the {(),()} is supposed to represent?

[whole nacelle]

I've literally never seen a question like this all year

so I highly doubt it

[alpine sable]

question might be incomplete

[alpine sable]

just sub in your val

[alpine sable]

is this related to

[alpine sable]

this?

[whole nacelle]

no

sorry im getting help from someone in a vc

[alpine sable]

sub in your vals

again

$\qty(f+g)\qty(a)$

[ocean seal]

Πολλά άτομα είναι

[alpine sable]

I don't really understand this notation, what does this mean?

[quasi gull]

2 to the power of p-1

then that result you do modulo p

[alpine sable]

OK.

[quasi gull]

and that will produce 1

always!

[alpine sable]

Why not have 2^(p-1) mod p (tripe equals) 1

"triple equals" just means identical to, or equivalent, or congruent

Still wonder why you'd have the modulo on the right hand side

[whole nacelle]

I got the answer that my question

I was just thinking to deep into it

[alpine sable]

wdym

you're asking if it's still valid if it's on the LHS?

The more obvious way of expressing would be 2^(p-1) mod p (tripe equals) 1

[alpine sable]

Would it be?

[alpine sable]

i don't think it would make a difference

I'm thinking there's got to be a reason why it's on the RHS, since it's more confusing

Cause you're practically saying 2 to the power of p-1 is congruent 1 modulo p

but they're still congruent regardless of where the modulo is

or maybe not

[neat merlin]

how to solve that?

[alpine sable]

i actually am I unsure

but it just seems logical it would

or maybe it's undefined

according to what this says over here

actually nvm

read it wrong

as said i'm unsure

i'm just saying cause it seems logical

Does modular arithmetic not follow associative law and commutative property?

why does that look like Fermat's Little Theorem

[alpine sable]

hard to read

well actually I can

but

12 question

What does BT read

,rccw

[ocean seal]

Sam__

[alpine sable]

@alpine sable not the same right?

[tight minnow]

Are you supposed to find the sum?

Or find the number at a given n value?

[alpine sable]

wdym?

what retro said

Sum of the series?

or find the number at a given n value

[tight minnow]

Do you know the formula?

[alpine sable]

wait oops

u help then first

$\sum^{10}_{n=1}2\qty(-3)^{n-1}$

[tight minnow]

The top one is the formula you have to use

[alpine sable]

:parent

Fuck

There

[tight minnow]

Ok, great

[alpine sable]

use parentheses

[random crypt]

Can someone help me at channel 9

[ocean seal]

Πολλά άτομα είναι

[spiral pebble]

Hey can anyone help me plzzzz

[lusty quartz]

ok

[alpine sable]

is that figure related to the question ??

[spiral pebble]

idk

the question itself is very confusing for me

[lusty quartz]

ok

[obsidian marsh]

Does this mean that the two vectors that compose A are linearly independent?

A1=[5; 2.5; 0; -5]

A2=[-5; 0; -4; 9]

[lusty quartz]

x = 4

do you want to know why

[spiral pebble]

yes for sure

[lusty quartz]

I was just penta checking my work

[lusty quartz]

do you see why now

if you don't I'll explain

[spiral pebble]

no i didnt get it

[lusty quartz]

ok

if we chose any other point than x = 4 (where the two graphs intersect) we would end up with an un-even balance

our goal is to find the minimum of the expression

[spiral pebble]

wdym by un-even balance?

[lusty quartz]

so if the only place where both graphs
y = (x+6)^2 + 25
and
y = (x - 6)^2 + 121
are equal, there is no uneven balance

[lusty quartz]

when you add them, you want to make sure that there is a minimum

[molten ore]

need help distributing into quadratics

[lusty quartz]

which means one should not be greater than the other @spiral pebble

[spiral pebble]

ohhh

i get it now

[lusty quartz]

cool

[spiral pebble]

thnx @lusty quartz

[lusty quartz]

[lusty quartz]

do you know regular distributive property

and how to do the inverse

[molten ore]

not at all

[lusty quartz]

ok

the you need to kjno that first

[molten ore]

ik that its 15x^2+x-6

[lusty quartz]

forget about that

let's start with basics

[molten ore]

ok

[lusty quartz]

the expression 3(x + 1)

can you expand

[molten ore]

yeah it would be the same thing i said with 15x^2

^^^sqaured btw

[lusty quartz]

ok

when you want to distribute (5x - 3)(3x+2)
start with 5x * 3x, then 5x * 2, then -3 * 3x, and -3 * 2

done

simple

[molten ore]

but it has to go into qudratics

its not just the problem

[obsidian marsh]

how can i prove this has no solution?

[alpine sable]

show work お願いします

[alpine sable]

Set up a proportion

FC corresponds to JG

[alpine sable]

u need value of delta1 and delta2 ??

[grizzled yacht]

42/21?

[alpine sable]

Yeah, that gives you the constant of proportionality

You can do the same foe CD and GH to get the same constant and find the measure of GH

[cedar scaffold]

Can anyone help me

[alpine sable]

which one ??

[cedar scaffold]

all of them

Actually #8

[wind fox]

Please help

[alpine sable]

jst subtract both the equations

[wind fox]

Oh okay thank you og

But then ones gotta be x and the others gotta be y

[alpine sable]

once u find x by subtracting the equations, u can find y by using value of x

[wind fox]

Yeaaa but like

[alpine sable]

ok.. le me do it

[wind fox]

Thank you so much

[rich haven]

i got c what did i do incorrect

[alpine sable]

@wind fox

u can find y by putting value of x in equation 1

[wind fox]

Dude ur a life saver thank you

[alpine sable]

np

[ancient creek]

@obsidian marsh this is my proof, I used X1 and X2 instead of Delta because Delta was hard to draw :P

hope u find this useful, sorry for the bad handwriting

[nimble meteor]

could someone please tell me if the answer is all real numbers except 2 or x<or equal to 2

?

[jaunty plover]

f(x) will be defined when the radicand is ≥0

[sour lynx]

would the radius be 8 or 4

[cinder wedge]

hello guys can someone help me ?

I have to prove this inequality

, (x + y)(y + z)(z + x) ≥ 8xyz.

[quartz stone]

Interesting

You can do it by picking pairs

Like expand it out

[cinder wedge]

what do you mean exactly

[quartz stone]

(x + y)(y + z)(z + x) ≥ 8xyz
(xy + xz + yy + yz)(z + x) ≥ 8xyz

continue the expansion like that

I think it may get u somewhere

[cinder wedge]

you mean break the brackets?

[quartz stone]

Yes

perhaps that will work

[cinder wedge]

I did it

but I can see nothing

a very long term comes out of it

keyboard issues sorry

[quartz stone]

You also may need cases

Like to WLOG order of x, y, z

(xy + xz + yy + yz)(z + x) ≥ 8xyz
xyz + xzz + yyz + yzz + xyx + xzx + yyx + yzx

So assume x >= y >= z

[cinder wedge]

you can make also squaers

[quartz stone]

Yes I may put it into squares but maybe not now

Perhaps WLOG works though

Do you know what WLOG is?

[cinder wedge]

what how did you notes that

no

What is that?

[quartz stone]

Ok it will explain how I can do that

Imagine if you have x, y, z. You can name the largest one a, the second largest one b, and the third largest c

(a + b)(b + c)(a + c) ≥ 8abc

Same problem right?

[cinder wedge]

yes

[quartz stone]

But now you know a >= b >= c, which is useful

[cinder wedge]

how do you know this no arguments?

[sour lynx]

can i get some help

[quartz stone]

no arguments?

[quartz stone]

Please go to another channel

[sour lynx]

ok

[quartz stone]

Thanks 🙂

[quartz stone]

Are you asking how I learned of the technique?

[cinder wedge]

Is this also right?

[quartz stone]

Ok so we want to show
xzz + yyz + yzz + xyx + xzx + yyx >= 6xyz

I resorted to using your method too in the end, altho WLOG is sometimes helpful in simplifying problems

my way may not even work btw

[cinder wedge]

AM-GM is better I mean

nevertheless thank you I can solve it

[quartz stone]

seems to work

[alpine sable]

someone please help me in #help-4

<@&268886789983436800>

[quartz stone]

roni doesn't even deserve a ban 😦

[fathom echo]

Hi i need help with a problem!

is anyone available?

[quartz stone]

People will answer if they're free and know how to

[fathom echo]

okok

[tame falcon]

Thanks.

[fathom echo]

the equation

since x and y are not linear

I dont know how to solve

[quartz stone]

Do they want you to find the pattern?

[fathom echo]

no, the equation

y=mx+b

[quartz stone]

One way is to calculate the gradient

[fathom echo]

gradient?

[heavy canopy]

Is this channel free?

[quartz stone]

m = (y_1 - y_2)(x_1 - x_2)

[quartz stone]

Nah, but thanks for asking

[fathom echo]

oh the slope

[quartz stone]

m is the sloope

[fathom echo]

yeah

[vague coral]

y_1 and y_2 are values from the second column

[fathom echo]

oh I see

and to find b

I can just replace y and x with a point

[vague coral]

yes

[fathom echo]

so would the year be x?

[vague coral]

obviously, but you dont pick random numbers

[fathom echo]

right right

ty

[vague coral]

if you take the year 4 you take 12

[fathom echo]

okay

so I end up with y=1x+7

y=1(0)+7

y=7

[vague coral]

???

what is the slope m ?

what did you find

yea m=1

[fathom echo]

m=1

[vague coral]

now y = x + b
I take (0, 8)
8 = b

y = x + 8

[fathom echo]

AAh okay

ight tyvm

wasnt in class today so I had trouble doing the hw

ty tho :)

[icy heart]

hi

This is more of a graph theory question

does anyone know how to transform Dominating set into SAT

[alpine sable]

Factor out -e^(-x)

[patent badger]

I got this integration from a definite integration from limits

0 to infinity

so I will replace every x by infinity

[quasi gull]

- e^(-x) (1 + x)

[patent badger]

then - replacing everytin with zero

[potent cedar]

Hi, are my answers correct

[alpine sable]

@patent badger okay, so you have an integral from 0 to inf?

[alpine sable]

Put it as a lim as y tends to inf and integral from 0 to y

Sub in y and 0, then find the lim

[potent cedar]

@alpine sable or anyone whose here can u just tell me if I am on the right track:)

[hardy vault]

can someone help me

[alpine sable]

ok let x be that number

so it says thrice ... reciprocal ... square

what could you make out of those

[hardy vault]

that x is three times the reciprocal of its square

[alpine sable]

well yes but could you write it down mathematically

[hardy vault]

x=3* 1/x^2

?

[alpine sable]

more like 3x=1/x^2

[hardy vault]

ah ok

[alpine sable]

or am I interpreting it incorrectly

nah

ok yeah solve for x

[potent cedar]

Hb my answers . Can u tell me if they are right plz

[alpine sable]

got any working for em

[pliant estuary]

Is this your exam by any chance?

[potent cedar]

Nope

Weekly hwk qs

[plucky crow]

,w integrate (x^3)(e^(x^4))

[ocean seal]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by Syphax#3869

[plucky crow]

ah you see because i did parts

and got something very different

[grim grail]

In this i've solved the bounds to be for y = -1 and y = 2 and im trying to decipher which eqtn is bigger or smaller, the eqtns are x = 0 + y^2 and x = y + 2 and the graph of them is below. I want to say that the x = y + 2 is the most right(According to my notes) and thus should be the first the equation

[hardy vault]

that was the wrong ewquation

.

[grim grail]

Am I correct in my statement? Asking to double check my logic on that

[dense snow]

Anyone knows this area?

[random crypt]

<@&286206848099549185> does anyone here have a Mathway account that can show me a question

Like the certain steps of a question

[tardy robin]

Is that a right angle?

[dense snow]

Mhm, and nvr, i got the answer

[blazing gust]

Can somebody help ?

[dense snow]

Thanks doe!

[dense snow]

Sure, i can try

[blazing gust]

I gotta turn it in at 2:00 sadly in 25 min

[pliant estuary]

What have you done so far?

[blazing gust]

1 2 3 5

[pliant estuary]

I mean, show the actual calculations

[blazing gust]

Like the answers ?

[pliant estuary]

yes

[nimble elk]

I know x is 4 but how do I solve for y?

add both equations up and make it equal 360?

[blazing gust]

I didn’t do show your work

Cause since it’s due in 15 min

I’m tryna just answer the questions

[gray isle]

<@&268886789983436800>

[sly mantle]

ty

[pliant estuary]

nope

[sly mantle]

please stay in 1 channel

[alpine sable]

lol

ppl should rlly read rules

[civic hollow]

im kinda stuck

[rocky silo]

Does anyone know some site or program that lets me create geometric shapes and get their qualities like e.g. radiuses, circumferences etc..

[mint spindle]

dv/dt=1/20
v=x^3
dv/dt=3x^2dx/dt
1/20=3x^2dx/dt--------(1)
when volume is 1/64... x is 1/4
find dx/dt at x=4 from (1)

[civic hollow]

thank you @mint spindle i see my mistake now

[mint spindle]

anytime.. 👍

[alpine sable]

can you please don't give full solution next time

#❓how-to-get-help

[mint spindle]

okk... sorry.. I am new to the server

[alpine sable]

そうして

[eternal dagger]

Can someone explain this to me?

[alpine sable]

sure

how do you calculate area of rectangle

[eternal dagger]

B times H

[alpine sable]

sure, one side times other side

what about the perimiter

[eternal dagger]

B+B+H+H

[plucky crow]

em

[alpine sable]

how much is the area in the problem you are given?

@plucky crow yes?

[plucky crow]

cani combine logs with different coefficents

i cant right

[eternal dagger]

45yd^2

[plucky crow]

like 2ln2+ln3 is not 2ln6

[alpine sable]

set up the formulas rawmen

[plucky crow]

its ln12

[alpine sable]

for area and perimiter

[eternal dagger]

Oh wait, I got it nvm.

[alpine sable]

syphax, what's the base of your logs

the product rule applies to the same base, as does the power rule. do you know those?

[plucky crow]

ln]

my base is e

[alpine sable]

good, do you know why it's ln12 and not 2ln6?

[plucky crow]

yes

2ln6 is ln36

[alpine sable]

happy to help

correct

[alpine sable]

今日は show work お願いします

like how do you get 100

@nimble elk

this channel is occupied

i see

if that's the case

はい

[charred flint]

anyone here use quizizz?

how is it graded?

trying to find out if it's cheating for someone to stream it and get help

yea but like how does it affect your grade in the real class

is it just homework or a quiz grade

dang so it could go either way

thanks!

why did the helpful person purge themself

[plucky crow]

,w integrate cos^3x

[ocean seal]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by Syphax#3869

[blazing gust]

@vapid ermine

Can you help me

[charred flint]

@blazing gust post the question

[tacit jewel]

Look up the volume formula for cylinders and plug in the corresponding parts

[modest dragon]

can ianyone help me with this?

[alpine sable]

is that sin

sinus

[modest dragon]

yess

[alpine sable]

l'hospital rule

[modest dragon]

ok thanks!

[glacial hedge]

can anyone help me with this

[strong furnace]

although this might work here , using L'hospital is not allowed due to 1+3cos(3x) having a root

[plucky crow]

@alpine sable

im a bit confsued as to how they integrated sintsin3t here

,w integrate sinxsin3x

[ocean seal]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by Syphax#3869

[alpine sable]

@modest dragon split the limit then into two fractions @strong furnace is that better

[strong furnace]

yeah that works fine

[alpine sable]

@plucky crow it says it right there, using product to sum formula

$\sin(a)\sin(b)=\frac12(\cos(a-b)-\cos(a+b))$

[ocean seal]

Em

[plucky crow]

wiat whattt

WHAT

THAT EXISTS?

IVE NEVER SEEN THAT IN MY LIFE

ITS NOT IN THE TEXTBOOK

[modest dragon]

and how do i do that 😦

[alpine sable]

$\frac{x}{x+sen(3x)} - \frac{sen(2x)}{x+sen(3x)}$

[ocean seal]

Em

[plucky crow]

@alpine sable is there a proof for this

[grand shell]

Are you asking what is the proof for product to sum formulas?

You can prove them using Sum and Difference Formulas

[carmine ermine]

the area under a curve relates to integrals, if you take the area under a curve for a function, how does that relate to derivatives?

[floral jungle]

anyone able to help

[muted raft]

look at FTC

[modest dragon]

and then? im a little confuse with this part of calculus n.n

[carmine ermine]

May you elaborate on what you mean?

[muted raft]

Definition of Fundamental Theorem of Calculus

[carmine ermine]

Oh

I actually quite don't understand that Fundamental Theorem sadly

[glacial hedge]

its

[carmine ermine]

I am not looking for a long explanation of it

but may I get a summary of it all?

[glacial hedge]

derivative of F(x) = f(x) if F(x) is the anti derivative of f(x) or integral of f(x)

[carmine ermine]

yes yes

[muted raft]

what is sen(x)?

[glacial hedge]

its a trig funciton

i believe for arc lenght?

[muted raft]

cool I have never heard of that before

wait, is that just sin(x) in different language?

[grand shell]

yes that is what I thought. haven't heard of sen either

it's either defined in the book (which I doubt) or spanish for sin

[alpine sable]

it's sin in spanish

[glacial hedge]

no there are a ton of trig funcitons

most are not used anymore because it would be a pain to learn

[plucky crow]

all i know is sinh cosh tanh cot cosec sec tan sin cos

[plucky crow]

oh and arccos arcsin arctan

dafuq is crd

lol

[strong furnace]

cosine rule dird side

[plucky crow]

oh chord

[glacial hedge]

imagine havng to memorize versin, exsec, excsc, crd xD

[carmine ermine]

Alr

I have returned