#help-23

1 messages · Page 8 of 1

lean otter
#

??

velvet monolith
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yes

lean otter
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thats what i was trying to say

velvet monolith
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yes and thats a condition that must be met

lean otter
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yupp

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right

velvet monolith
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so a must be greater than -2

lean otter
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yes a E ( -2 , ∞)

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right ??

velvet monolith
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i just saw a thing wou wrote that doesnt have to be true

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f(5) can be equal to 0

velvet monolith
lean otter
#

what ?/

lean otter
velvet monolith
#

.

velvet monolith
lean otter
lean otter
lean otter
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so what should i do

velvet monolith
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but that is for $x\in(5, +∞)$

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inf is infinity

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but idk how to type infinity in latex lol

lean otter
#

#

take it

velvet monolith
flat frigateBOT
#

kjmkty

#

kjmkty

lean otter
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ohhh

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i see

#

at 5 it can be zero

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but then how to solve it

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😫

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i want to know solutin

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solution*

velvet monolith
#

well we know for sure that a>-2

lean otter
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yes

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we know

velvet monolith
#

and that $b^2-4ac\leq 0$

flat frigateBOT
#

kjmkty

lean otter
#

yup yup

lean otter
velvet monolith
#

and you wrote something smart which is f'(x)<5

lean otter
#

i am bit confused

velvet monolith
flat frigateBOT
#

kjmkty

velvet monolith
lean otter
velvet monolith
flat frigateBOT
#

kjmkty

lean otter
#

yupp

velvet monolith
#

okay i thought a bit deeper about this problem

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so we will break it into 2 cases

lean otter
#

yes

velvet monolith
#

we have one condition as we previously said a>-2

lean otter
#

yupp

velvet monolith
#

the first case is that the equation has no real roots or one real root at x=5

lean otter
#

han

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ok

velvet monolith
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so we said $b^2-4ac\leq 0$

flat frigateBOT
#

kjmkty

velvet monolith
lean otter
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yupp

velvet monolith
#

in other words $4-4 \cdot (a+2) \cdot 1 \leq 0$

flat frigateBOT
#

kjmkty

lean otter
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a + 1 <= 0

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a E [ -1 , ∞ )

velvet monolith
lean otter
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i did it

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and forward

velvet monolith
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yes

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and i think there is a second case

lean otter
#

ya

velvet monolith
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idk how to calculate a using that second case

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i mean i can try to explain it to you

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and i have a picture in my head

lean otter
velvet monolith
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ok so basically

lean otter
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ok

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go ahead

velvet monolith
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the equation can have 2 roots, the greater one being 5

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bc then the rule still applies right

lean otter
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maybe

velvet monolith
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but actually the root doesnt have to be 5, but it must not be greater that 5

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idk how to visualise this

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it can be easy to undertsand if you picture the graph right

lean otter
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i have pictured one in right side

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f i am not getting it

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yrr

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i got it the answer maybe from (-2 , ∞ )

safe radishBOT
#

@lean otter Has your question been resolved?

safe radishBOT
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covert fiber
#

may i get help derivate that ?

safe radishBOT
covert fiber
#

i want to get the maximum and minimum points

foggy salmon
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what is that thing on top

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e^x?

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e^2x?

covert fiber
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e^ax

safe radishBOT
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@covert fiber Has your question been resolved?

covert fiber
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um xd

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(e^ax)/2-x

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anyone xd

spiral crescent
covert fiber
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no ?

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what is that xd

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maximum point and minimum point

spiral crescent
covert fiber
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u will help tho 😅

safe radishBOT
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@covert fiber Has your question been resolved?

safe radishBOT
#

@covert fiber Has your question been resolved?

vast obsidian
#

Take the derivative of the function and set it equal to 0

safe radishBOT
#

@covert fiber Has your question been resolved?

covert fiber
vast obsidian
#

Can you show your work?

safe radishBOT
#

@covert fiber Has your question been resolved?

safe radishBOT
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safe radishBOT
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sullen vine
#

What's the best way to find the tangency point for a function if I'm only given a point which lies on the tangent?

glass carbon
sullen vine
#

the function is x^3+3 and the point is (0,1)
So I write y-1=m(x-1) and y=mx+1

glass carbon
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my way would be

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let's say point of tangency is (c, f(c)) for some c
let's say the tangent line is y = ax + b
since tangnet passes through (0,1) we have:
1 = b ---> y = ax + 1
now from the tangent line formula:
y = f'(c)(x-c)+f(c) = 3c^2 * (x-c) + c^3 + 3 = x * 3c^2 - 3c^3 + c^3 + 3 = x * 3c^2 - 2c^3 + 3

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now it's enough to compare ax + 1 and x * 3c^2 - 2c^3 + 3 to solve for 'c' then for f(c)

sullen vine
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ah yes that formula, forgot about it

glass carbon
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it's the same as yours, I've used m = f'(c) and f(c) instead of y coord

sullen vine
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oh yeh im stupid

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alright dude thanks

#

.close

safe radishBOT
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blazing rune
safe radishBOT
blazing rune
#

Why is T not just 2π and T = 2π/w?

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Since cos function have period 2π

quasi bison
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yeah but cos(omega*t) is a horizontal compression of cos(t)

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so its period is shorter

blazing rune
#

.close

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rigid minnow
#

I dont see where I went wrong. here is my working:

rigid minnow
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There isn't supposed to be -2

#

The question is about diagonalisation using eigenvalues and eigenvectors

safe radishBOT
#

@rigid minnow Has your question been resolved?

rigid minnow
#

<@&286206848099549185>

grizzled shoal
#

a calculator i tried said the eigenvectors are wrong

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try doing gauss

rigid minnow
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What is gauss

rigid minnow
grizzled shoal
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row reducing

rigid minnow
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Do you see where my working is wrong?

grizzled shoal
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no since imo your writing to get the vectors is pretty small

rigid minnow
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I'll take a closer pic

grizzled shoal
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it seems you onoy used one row?

rigid minnow
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there

rigid minnow
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Oh, right. Yes, I was taught that I can solve using one row

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I can choose any of the two, all based on preference

grizzled shoal
#

,rotate

flat frigateBOT
grizzled shoal
#

thats how i learned it

rigid minnow
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Strange because my vectors seem to work

grizzled shoal
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wrong matrix

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1 at the top right

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not -1

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oh

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nvm

safe radishBOT
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@rigid minnow Has your question been resolved?

rigid minnow
#

<@&286206848099549185>

safe radishBOT
#

@rigid minnow Has your question been resolved?

rigid minnow
#

ffs

#

whatever

safe radishBOT
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placid raft
#

Is this accurate? I don't know if I calculated everything right, do I count the bottom stem and assume it's 170?..... Or do I leave it out entirely?...

grizzled shoal
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i dont really understand the table

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the header has no lable

safe radishBOT
#

@placid raft Has your question been resolved?

safe radishBOT
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placid raft
safe radishBOT
placid raft
#

What do I do with the bottom stem?

safe radishBOT
#

@placid raft Has your question been resolved?

tardy mango
#

Cause if there was 170, the leaf would be 0

placid raft
#

Ah, so I can leave it out?

tardy mango
#

Yeah

placid raft
#

Let's goo, tysm

#

.close

safe radishBOT
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patent vault
#

howww do i do this

safe radishBOT
patent vault
#

The following cards are dealt to three people at random, so that everyone gets the same number of cards. What is the probability that everyone gets a red card?

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anyone pls?

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is 3/56 right?

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<@&286206848099549185>

proud belfry
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what is 9!

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that is how many combinations there are

safe radishBOT
#

@patent vault Has your question been resolved?

patent vault
proud belfry
#

oh wait it's 3 people not 9 people

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so

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it's like

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9x8x7

patent vault
#

is that dealing three cards?

safe radishBOT
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smoky shard
#

Hi

safe radishBOT
smoky shard
#

i have 0 clue how to do this or where to even start

#

could anyone help?

safe radishBOT
#

@smoky shard Has your question been resolved?

smoky shard
#

<@&286206848099549185>

#

...

dense galleon
#

Find the fraction of white circles and black circles, and add them together

dense galleon
#

Do you know the fraction of white shapes

smoky shard
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nope

dense galleon
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The ratio of white to black shapes is 5:11

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So if you had 5 white shapes, and 11 black shapes, it would satisfy that ratio

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When you have 5 white shapes, and 11 black shapes, what fraction of shapes are white?

smoky shard
#

5/16

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i think

smoky shard
smoky shard
#

??

#

.close

safe radishBOT
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unkempt epoch
safe radishBOT
unkempt epoch
#

How can I make this more radical

lean otter
#

you can make it so there's only one x on the bottom

flat frigateBOT
lean otter
#

use the quotient rule

unkempt epoch
#

understood

#

.close

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safe radishBOT
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sudden knot
#

.close

safe radishBOT
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timid goblet
safe radishBOT
timid goblet
#

It saids im wrong, what did I do wrong?

#

<@&286206848099549185>

nova creek
#

!15m

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nova creek
#

Show exactly what you put in

timid goblet
nova creek
#

Why are you using y?

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C and D don't have y

timid goblet
#

Am dumb

worthy hemlock
nova creek
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I thought it was γ 👀

timid goblet
#

Idek

#

.close

safe radishBOT
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dapper sinew
#

confused what the difference is

nova creek
#

f(x) + 3 = f(x) - (-3)

dapper sinew
#

.close

safe radishBOT
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timid goblet
#

This is so easy

#

💀

safe radishBOT
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fallen grotto
#

So my book defines simple random sampling as "every group of n individuals has an equal chance of being selected"

For example, they have the question: "A corporation employs 2000 male and 500 female engineers. A stratified random sample
of 200 male and 50 female engineers gives each
engineer 1 chance in 10 to be chosen. This sample
design gives every individual in the population the
same chance to be chosen for the sample. Is it an
SRS? Explain your answer."

And the answer is: "No. In an SRS, each possible sample of 250 engineers is
equally likely to be selected, including samples that aren’t exactly
200 males and 50 females."

But, if it's a random sample, shouldn't the probability that you get for example, 230 males and 20 females be higher than 200 males and 50 females?

buoyant shadow
#

can you just read it again or something?

fallen grotto
buoyant shadow
#

you missed a question mark

fallen grotto
#

What do you mean?

#

My question is at the bottom

buoyant shadow
#

like, "that really helps?"

#

get it?

fallen grotto
#

.close

safe radishBOT
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craggy quiver
safe radishBOT
stray socket
#

I mean the easiest way is to set the independent variable as t

#

And then go from there on

craggy quiver
#

im just confused as to how to go from the start

stray socket
#

Wdym go from the start

craggy quiver
#

like where do i start

stray socket
#

It doesn't specify an initial value or direction

craggy quiver
#

so -3t^2?

stray socket
#

z(t) = t

stray socket
craggy quiver
#

so

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with those

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idek where to head

stray socket
#

Yeah it isn't linear so

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Im not sure how to vectorize quadratics

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I can help you find the two parametric equations but combining them seems rather dumb

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I'm not sure if you're dealing with 3D

craggy quiver
#

yeah its 3d

stray socket
#

Alright you can try uh

craggy quiver
#

i think i figured it out

stray socket
#

r(t) = {-3t^2, 0, t}

craggy quiver
#

yeah

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i did that

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just no j value

#

and got it

#

its so weird but thank you

#

got it correct

stray socket
#

Np

#

Close the channel if you're done

craggy quiver
#

.close

safe radishBOT
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safe radishBOT
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mighty rover
#

hey i need some help understanding how to evaluate this limit

mighty rover
#

i am confused on this step

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i dont understand how diving both the numerator and denominator by x^3 u get 7/x^2

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and the other values in the numerator

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how does this work?

flat frigateBOT
mighty rover
#

wdym

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oh wait

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in order to make sure that im diving by x^3 in the numerator

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i have to do that bc its in a sqrt?

flat frigateBOT
mighty rover
#

thank you

#

.close

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lean otter
#

I need help solving 7

safe radishBOT
last heart
#

solve f(x)-g(x)

#

so (3x-2)-(-1/3x+4)

lean otter
#

bearlain idk how

last heart
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this video shows you

lean otter
#

Ok so through watching his first example

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I think my only question is

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How do I deal with the fraction within g(x)

last heart
#

you can

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Change the 3x into a fraction from f(x)

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to get (3/1)x

lean otter
#

How?

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What do I then do with the new fraction I have with 3/1x

last heart
#

you have to find a common denominator

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then you will be able to combine the fractions because they have the same denominator

lean otter
#

the common dominator would be three in this case?

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which would give us 6x right?
'

last heart
#

yes

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6/3 x yes

lean otter
#

so the two goes into the 1?

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wait wait wait

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-1/3 would become 6/3x?

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where did the extra three come from

last heart
#

no the 3x from f(x) becomes 6/3x

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I mean 9/3x

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sorry

lean otter
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:0

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now im confused

last heart
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ok wait

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so (3/1x-2)-(-1/3x+4)

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then (9/3x-2)-(-1/3x+4)

lean otter
#

:o

last heart
#

because 9/3 is still 3 we just want to make it a fraction because the other side is a fraction

lean otter
#

ok

#

so what we are then left with after combining them together

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we get

last heart
#

the next thing I would do is distribute the negative

lean otter
#

9/3x -2

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f-g(x) becomes 9/3x - 2?

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or -9/3x?

last heart
#

9/3x-2 is just f(x)

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We have to subtract f(x)-g(x)

lean otter
#

hm

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ok

last heart
#

so if we distribute the negative we get

#

then (9/3x-2)+(1/3x-4)

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which makes it easier to solve

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now we just combine like terms

lean otter
#

which gives us

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10/3x and 2?

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I mean -6

last heart
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10/3x -6

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yes

lean otter
#

;- ;

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hmmmm

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okie

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ok to the next one

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f*g(2)

last heart
#

ok

#

this one is a little bit harder

#

oh no nvm

#

this one is ez

#

it is asking us f(2)*g(2)

lean otter
#

ok

#

that's 4fg?

last heart
#

no you have to solve f(2) first

#

So f(x) = 3x-2

#

then f(2)=3(2)-2

lean otter
#

we replace the x with 2 and then solve?

last heart
#

yes

#

do for both

#

Both

lean otter
#

which gives us 2f=4?

#

what am I suppose to being doing multiplying the 2 times 3?

last heart
#

yes

#

then subtract 2

lean otter
#

so 2f=2

last heart
#

well

#

3*2 is 6

#

minus 2 is 4

#

so f(2)=4

lean otter
#

and then for g

#

we have - (1/3) x + 4

last heart
#

ok

lean otter
#

but then we change

#
  • 1/3 (2) +4 right?
last heart
#

yes

lean otter
#

then we multiply 2 times the fraction then add four?

last heart
#

yes

lean otter
#

-2/3

#

10/3

#

with four added

#

:l that doesn't seem right

last heart
#

10/3 is right

#

now multiply it by 4

lean otter
#

but I already added it by four though?

last heart
#

because it asked f(2)*g(2)

lean otter
#

why multiply it by four?

#

ohhhhh

#

because 4 comes from f

last heart
#

yes

lean otter
#

40/3?

last heart
#

4*10/3

#

yes

lean otter
#

uhhhh

#

40/3 for the final answer seems off

#

wait no nvm

#

it makes it seense

#

I need your help with one more if you wouldn't mind

#

ok so for this graph im looking for the min and max and also which f is increasing in interval notation

#

;-; which yknow idk how to do

last heart
#

max is the high point of the curve

#

min is the lowest point of the curve

#

the point where the f is increase is between the min and the max

lean otter
#

change of pace

#

x=−1.662914,1.374553

#

what are these rounded to two decimals?

last heart
#

if you need to round to two decimals look at the number behind it

lean otter
#

1.66 seems fine the way it is

last heart
#

if it is 5 and above round up

lean otter
#

which number has to be 5 though

last heart
#

so fits the first you you would look at the 2

lean otter
#

you can't do anything with 2

#

so it remains 1.66?

last heart
#

yes

lean otter
#

same thing for `.37

#

thank youuu

last heart
#

yes

lean otter
#

ok thank you

#

you helped me finish my test

#

:o you are the best

last heart
#

ok

lean otter
#

;-;

#

.close

safe radishBOT
#
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safe radishBOT
safe radishBOT
#

@lean otter Has your question been resolved?

tired widget
#

We call them end-point of the graph

#

What exactly do you want to know about it

safe radishBOT
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@lean otter Has your question been resolved?

safe radishBOT
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@lean otter Has your question been resolved?

safe radishBOT
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opaque sorrel
safe radishBOT
opaque sorrel
#

am i right if i say that to prove that something has infinite solutions/a set of solutions, i need to introduce an arbitrary real number?

quasi bison
#

not in general, no.

#

but in your case, ie specifically for linear systems, if such a system has more than one solution, then it has uncountably many and it is convenient to parameterize them with one or more real-valued parameters.

opaque sorrel
#

ah i see

#

is there a better approach for this proof?

quasi bison
#

better in what sense?

opaque sorrel
#

ermm maybe less lengthy

quasi bison
#

you could perhaps try to find a phrasing of this proof that communicates the same idea in less symbols

#

but that's kind of silly

#

this proof is short

opaque sorrel
#

ah okay thats true

#

thanks

#

.clsoe

#

.close

safe radishBOT
#
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inner zealot
safe radishBOT
inner zealot
#

ind a better lower and a better upper bound for the integral than 0 and 3.

#

this is the problem i am dealing with. I dont how to find a better under and upper limit for the function

#

v(t) is the function

#

can you guys give me any guidance for solving the problem?

safe radishBOT
#

@inner zealot Has your question been resolved?

safe radishBOT
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cloud elm
#

how to do b) iv)
?

safe radishBOT
quasi bison
#

2 ways to seat Feng and George, some number of ways to pick seats for Hannah, Alice and Barney w/ 2 orientations for each (A-H-B or B-H-A), then 3! ways to seat the rest...

cloud elm
#

pls explain further the answers 144 but i still dont know 😢

quasi bison
#

which part of my message is confusing you?

cloud elm
#

i dont know the arrangements for Hannah Alice and Barney

#

this is the provided solution but it makes no sense to me

quasi bison
#

you can either have A, H, B sit consecutively or two seats away

#
A H B _ _ _
_ A H B _ _
_ _ A H B _
_ _ _ A H B

A _ H _ B _
_ A _ H _ B
#

do you understand that these are all the possible arrangements (with the possibility of swapping A and B in each)?

cloud elm
#

o

#

yeah

quasi bison
#

ok so is there anything in what i said and/or in the provided solution that makes no sense to you?

cloud elm
#

no i get it 🙂
solution is 2! x 3! x 6 x 2! and that equals 144

quasi bison
#

yes that's right

cloud elm
#

ty

#

.close

safe radishBOT
#
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lucid abyss
#

how is the domain for a square root function (0,infinity), but not [0, infinity)?

lucid abyss
#

doesnt the 0 count

lunar flume
#

The 0 is included. The domain is [0, +inf)

lucid abyss
#

but the answer key selected ()

#

not [)

lunar flume
#

Any certain restrictions?

lucid abyss
#

it just says "over what intervals is the sr function increasing"

#

could it be cuz x=0 is at 0,0 and not rlly "increasing"

lunar flume
#

It definitely includes 0. Think of it this way, if x = 0 which would be (0,0) is an ordered pair, the notion of increasing value comes from comparing the (x,y) value as you plug values for f(x).

#

I suggest you try making a table of values to see immediate relationships between x and y for the square root function

lucid abyss
#

i get it it just might be the answer key is wrong

lunar flume
#

Yes, its most likely incorrect. Unless there are certain restrictions you left out

proven wren
#

I'm trying to compare this to a function, imagining a x^3 or something function. The turning points wouldn't count in the "increasing"

#

Or like x^5 - x

#

The inputs for this function decreasing would be (-0.6687, 0.6687)

#

Is the square root function tryna say the same thing?

lucid abyss
#

yes

proven wren
#

But a square root doesn't have turning points, they can't have a slope of 0

#

It most likely includes 0

lucid abyss
#

👍

#

alright, thanks for the clarification. I have to get ready for school, cya

#

.close

safe radishBOT
#
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magic marten
#
  1. Salde is 15 years older than Sonny. If the product of their ages is 54. Find the ages of the two students?
safe radishBOT
#

Please don't occupy multiple help channels.

magic marten
#

.close

safe radishBOT
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random merlin
#

For positive real numbers a, b, c, if the conditions a+b+c=10 and ab+bc+ca=25 are fulfilled
Find the maximum possible value of the set of numbers ab, bc, and ca.

quasi bison
#

what's the value of a set of numbers?

random merlin
#

uh

#

what?

quasi bison
#

maximum possible value of the set of numbers ab, bc, and ca.

random merlin
#

ohj

quasi bison
#

it's a little unclear what this refers to

random merlin
#

i typed it wrong

#

so

quasi bison
#

do you have the exact statement of the problem

#

screenshot maybe

random merlin
#

u want to find the max possible value of the lowest number in that set of numbers

random merlin
quasi bison
#

so you want $\max_{\substack{a,b,c>0 \ a+b+c=10 \ ab+bc+ca=25}} (\min {ab, bc, ca})$

flat frigateBOT
quasi bison
#

is that right?

random merlin
#

yeah

quasi bison
#

hmm

#

intuitively it feels like a, b and c should be close to each other so that ab, bc and ca are as close as possible to 25/3

random merlin
#

yeah

quasi bison
#

ok so i found a graphical solution but it is ugly and WA is giving some crazy exact form for it

#

wait

#

hold on

#

i fucked up

random merlin
#

ae

quasi bison
#

ok so heres what i did

#

i took x and y as a and b

#

expressed c in terms of those as 10-x-y

#

and plotted the other constraint as a curve

#

then i plotted min(xy, x(10-x-y), y(10-x-y) ) ≥ c and gradually decreased c until the region touched the green curve

#

(yes i know this is dirty)

#

(no i can't think of any more elegant solution rn)

fallow oriole
#

oh wait Im dumb you're trying to find the maximum of the minimum

fallow oriole
#

well that was one hell of a question

fallow oriole
#

I hate working with anything involving WLOG

random merlin
#

agree

#

i was trying to use AM GM inequality backwards

#

to find ab

sage finch
#

yeah me too lol

random merlin
#

thanks

#

.close

safe radishBOT
#
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reef basin
safe radishBOT
reef basin
#

Can someone help me solve this?
I'm stuck on a equation with 2 variables ;-;

safe radishBOT
#

@reef basin Has your question been resolved?

idle parrot
#

@reef basin you still here?

reef basin
#

yep

idle parrot
#

You see first statement means

#

$P= \frac{100+p}{100}Q$

flat frigateBOT
idle parrot
#

And second statement means

#

$Q= \frac{100-q}{100}P$

flat frigateBOT
idle parrot
#

You get this?

reef basin
#

im stuck here

#

I just did it till equation and put it in Wolfram cause I had no idea how to solve this further

#

the answer seems to be 37.0156%

#

but idk how to solve this question without using wolfram and i need to solve this under 100 secs

#

;-;

idle parrot
#

Okay so we get (100+p)(100-q)=10000

#

Or we can write it as

#

(100-q)=10000/(100+p)

#

Right?

reef basin
#

sure

#

yeah

idle parrot
#

Now rearranging it to make q as subject

#

We get 100- 10000/(100+p)=q

#

Correct?

reef basin
#

yes

idle parrot
#

And we given that p-q >= 10

reef basin
#

yes

idle parrot
#

So we sub q in this

#

We get p -(100-(10000/(100+p)))>>=10

reef basin
#

ok makes sense

idle parrot
#

Okay so can you solve it from here on?

reef basin
#

ill try one sec

idle parrot
#

Lemme add some more brackets

reef basin
#

ok im stuck again ;-;

#

Do i use the quadratic equation now

#

This will take forever to solve @.@

idle parrot
#

Wait something not right

#

,rotate

flat frigateBOT
reef basin
#

here's the rest before this

idle parrot
#

,rotate

flat frigateBOT
reef basin
#

im pretty sure i didnt make a mistake o.o

idle parrot
#

Okay seems correct

#

,w p^2 -10p-10000=0

reef basin
#

idk if this question seems doable in 100 secs

idle parrot
#

,calc 5(1-sqrt(401))

flat frigateBOT
#

Result:

-95.124921972504
idle parrot
#

Hmm

reef basin
#

,calc 5(1+sqrt(401))

idle parrot
#

,w p^2 -10p-10000>=0

flat frigateBOT
#

Result:

105.1249219725
reef basin
#

see? checks out

#

wait it should be +95.124921

idle parrot
#

,w p -(100-(10000/(100+p)))>=10

idle parrot
#

It says 41 here

#

Hmm?

reef basin
#

uhhhh

#

does 41 work

idle parrot
#

,w p^2 -10p-1000=0

idle parrot
#

,calc 5(1+sqrt(41))

flat frigateBOT
#

Result:

37.015621187164
idle parrot
reef basin
#

pog

#

but uh

idle parrot
reef basin
#

how would i do it by hand in 100 secs ;-;

idle parrot
#

Tbf idts how can i do it in 100sec

#

JEE?

reef basin
#

CAT

idle parrot
#

Hmm what that?

#

Masters?

reef basin
#

its an entrance exam for masters

#

ye

idle parrot
#

Ohh i see

reef basin
#

JEE is usually more lenient with time limits

idle parrot
#

Good luck buddy sedcat

reef basin
#

.close

safe radishBOT
#
Channel closed

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Use .reopen if this was a mistake.

idle parrot
#

Your welcome

reef basin
#

thank you <33333

idle parrot
reef basin
#

i appreciate the time

safe radishBOT
#
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wicked night
#

Can anybody please help me solve for x

safe radishBOT
proud hedge
#

i may be wrong, but don't you have to multiply by the conjugate to get rid of the radical on the right side

wicked night
#

whats conjugate

#

i thought you would square

prime nacelle
#

cant u just square both sides

wicked night
#

to get rid of the squareroot

#

yeah but then

prime nacelle
#

yea..

proud hedge
#

o yes u can square both sides

wicked night
#

u would get 9 + x - 2 on the right

#

and 2x + 5 on the left

#

but thats not right

#

i dont know why ts not rght but its not

#

because x has 2 answers

proud hedge
#

sqrt?

wicked night
#

where

proud hedge
#

because once you remove a square root, you may need to add +/-

wicked night
#

i thought that was if you solved the squareroot

#

wait so

proud hedge
#

im not completely sure

#

because i would assume you get one answer

wicked night
#

+/- 2x + 5?

#

photomath solved it a really weird way and gott he right answer but i couldnt understand it

proud hedge
#

hm

wicked night
#

it squared both sides but

#

the squareroot on the right didnt dissapear

prime nacelle
#

no bc

#

its

#

(3+ root x-2)^2

#

everything in the RHS is squared

wicked night
#

ohhhhh

prime nacelle
#

remember

wicked night
#

so ts

#

(3 + root x-2)(3+ rootx-2)

#

?

prime nacelle
#

$(a+b)^2=a^2+2ab+b^2$

flat frigateBOT
prime nacelle
wicked night
#

ohhh okay thanks

#

ill try that now

prime nacelle
#

yea

#

squaring does work its just u have to square the whole RHS

wicked night
#

okay what do i do after tho

#

do i foil the twi

#

two**

#

how do u foil a root

lean otter
#

I would do it exactly like photomath

wicked night
#

i just dont understand what they are doing

lean otter
#

what is your last line

wicked night
#

how do they get the 9+6 root(x-2) + x + 2

#

my last lline rn is

#

2x +5 = (3 + root(x-2))(3 + root(x-2))

lean otter
#

you need to simplify the right side

wicked night
#

how

lean otter
#

develop it

wicked night
#

foil it?

#

idk how to foil a root

lean otter
#

alright

#

(a+b)²=a²+2ab+b²

#

do it with (3+root[x-2])²

wicked night
#

kk

#

THANKS that ewuation helped a lot I didn’t know abt it

#

But

#

Im stuck here

lean otter
#

(2-x)²=?

wicked night
#

Yeah (2-x)(2-x)

#

But when I foil and collect like terms

#

It’s wrong

#

Let me try again

#

And that doesn’t factor into the right x values

#

Oh wait I think ik where I made my mistake

#

Wait but

#

When u square

-6root(x-2)

#

How do u its its 36(x-2) and not 36x - 2

lean otter
#

-6 * root(x-2) * (-6)*root(x-2)

wicked night
#

Ohhhh so it’s like there are brackets when there’s a root

lean otter
#

yeah root is power 1/2

wicked night
#

Right okay

#

I got the right answer

#

THANKS

lean otter
#

sure

wicked night
#

.close

safe radishBOT
#
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earnest trout
safe radishBOT
earnest trout
#

I need help

#

<@&268886789983436800>

#

<@&286206848099549185>

#

Oh sry

#

Ye

gaunt venture
#

LoL

earnest trout
#

Huh

#

Wait so

#

I created an equation

gaunt venture
#

Wait

earnest trout
#

$8x + 10y=130$

flat frigateBOT
earnest trout
#

Oh

flat frigateBOT
safe radishBOT
#

@earnest trout Has your question been resolved?

thin bridge
#

did you try anything after this?

safe radishBOT
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silk ruin
#

can someone help? thank you in advance

safe radishBOT
steep dove
#

okay, so first off use the definition of the set difference

flat frigateBOT
steep dove
#

LMAO

toxic stratus
#

$\and$

steep dove
toxic stratus
#

hmmm

steep dove
#

😭

#

land

toxic stratus
#

i dont have it defined

steep dove
#

HA

toxic stratus
#

$\land$

#

yuck

#

$\lor$

steep dove
#

¯_(ツ)_/¯

steep dove
toxic stratus
#

why not just write something like

flat frigateBOT
steep dove
#

ok thats better 🤣

#

then demorgan's that

toxic stratus
#

he do be de morganin

steep dove
#

facts

silk ruin
#

can u help me to find my mistake i think i have wrong step or smth

toxic stratus
#

wait

#

im trolling

#

no keep going

steep dove
#

cant you just distribute the and over

toxic stratus
#

you mean the land*

steep dove
toxic stratus
#

distribute the land kekw

#

landchads

steep dove
#

federal government moment

safe radishBOT
#

@silk ruin Has your question been resolved?

silk ruin
flat frigateBOT
toxic stratus
#

did you just unwind

steep dove
#

wait i might have wtf

flat frigateBOT
toxic stratus
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just start from the start

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this is messy as heck

silk ruin
flat frigateBOT
safe radishBOT
#

@silk ruin Has your question been resolved?

white umbra
#

it says "using boolean identities" so I don't think they want you to consider subsets/elements of the sets

white umbra
safe radishBOT
#
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terse ether
#

$(\sqrt{2}+x)^5 - (\sqrt{2}-x)^5$

safe radishBOT
flat frigateBOT
#

ahmed349

terse ether
#

I just wanna confirm this, the terms with even powers will be positive and the odd powers would be negative in the 2nd binomial, but the - in the middle will invert them, so the odd ones are positive and the even ones would be negative, so the negative terms in the 2nd binomial cancel out with the positives in the 1st, now we are left with the terms with odd powers, so basically the 2nd, 4th, 6th terms

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Multiplied by 2

grizzled shoal
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lets hope i didnt make a mistake

terse ether
#

Ah uh I wanted to do this with binomial theorem

terse ether
#

.closs

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.close

safe radishBOT
#
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safe radishBOT
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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.

lean otter
#

If i have a limit where in a part of it i get infinity/infinity than the whole limit is undefined?

glass carbon
lean otter
#

see the limit of x/x as x goes to infinity

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the limit is 1 right?

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Part of my limit is ln(infinity^2+7)/x-7

foggy salmon
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theres l hopital

toxic stratus
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there's also order hierarchy

steep dove
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how can part of it be infinity?

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are you applying the limit only to one specific thing

lean otter
#

and what is x

toxic stratus
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projective plane catAngery

lean otter
#

Sorry for bad writing

toxic stratus
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hmm

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are those terms on the end also part of it

lean otter
#

Yes

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The arctan

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?

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Yes

steep dove
#

this is kinda awful not gonna lie front man sir

lean otter
#

Front?

steep dove
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boss

toxic stratus
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that's a lotta terms man

lean otter
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Yeah

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Too much for lhopitals xD

steep dove
#

you probably still could...

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if you get it in the right form

lean otter
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Pls no

toxic stratus
#

first and last i think you can deal with individually

steep dove
#

i dont want to think about it either

toxic stratus
#

middle two you can do continuity

lean otter
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Yes

toxic stratus
#

is the x in the arctan on the whole fraction?

lean otter
#

Wdym?

toxic stratus
#

someone with more typing power do this

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my phone can't handle it

steep dove
#

ok i got u

#

yikes

#

\left(

toxic stratus
#

you need to acquire yourself some auto resizing brackets man

lean otter
#

oh it's root of 7 times x

toxic stratus
#

oh

flat frigateBOT
lean otter
#

Yes

steep dove
#

ok cool

toxic stratus
#

well this has taken an unexpected turn

steep dove
#

it really doesnt look like that in ur pic 😂

lean otter
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Lol

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I know

steep dove
#

gigatroll

toxic stratus
#

okay so that's easy

lean otter
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I said sorry hehe

toxic stratus
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the first term is easy

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middle two

steep dove
#

use that

flat frigateBOT
lean otter
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What about the first term

steep dove
#

doesnt matter how the x is scaled as long as its positive

toxic stratus
steep dove
lean otter
#

Oh so

toxic stratus
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lim = easy

lean otter
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I can lhopital the first term

steep dove
#

answer = easy

lean otter
#

And dont have to lhopital othee terms?

steep dove
#

idk man u might have to

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but at least its only 2

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and not 4

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count ur blessings

toxic stratus
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you should at least know growth of log is slower than linear

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then the first term is just 0

steep dove
toxic stratus
#

lhopital is too much

lean otter
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Thanks guys

toxic stratus
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middle two is definitely l'h

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but

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i don't think it's a fun one

lean otter
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Yeahh

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So if i do one term with l'hopital do i have to do them all by l'hopital?

steep dove
#

well i dont think you need to in this case because since the limits definitely exist (1st, last, 2nd+3rd)

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you can split them up

toxic stratus
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do it all together hypersully

steep dove
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wolfram enters

lean otter
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OKay bro

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Thank you guys

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I appreciate it

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Sorry for taking your time

toxic stratus
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no, appreciate yourself

lean otter
#

??

steep dove
#

nah dw thats the point of this server

toxic stratus
#

LOL

steep dove
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🤣

toxic stratus
#

jk just messin w ya

lean otter
#

Hahaha

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Okay okay

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Snow i will remember this

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Hehe

steep dove
#

LOL

toxic stratus
lean otter
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I don't even understand what he was trying to say lol

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Okay okay i'll stop

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See you later and thanks

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./close

steep dove
#

no slash

lean otter
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/close