,rotate
#help-13
lethal bison
wraith daggerBOT
dire geode
missing a square on the (y^2 - x^2) term
amber willow
Is there any nice mathematical notation I can use to denote a 3x3 "block" of a 9x9 matrix? Same idea as a sudoku board, just need to define it mathematically.
amber willow
Here's what it currently is.
cedar kilnBOT
@amber willow Has your question been resolved?
cedar kilnBOT
@amber willow Has your question been resolved?
royal light
can someon explain how this is answer A and not B
cedar kilnBOT
can someon explain how this is answer A and not B
granite knoll
<@&268886789983436800> obvious troll
radiant topaz
Ok and?
radiant topaz
Alright but have you considered the whole expression?
The sum is not over i/n
We take sum over f(x_i)
royal light
ya ik
radiant topaz
So what actually is f(x_i) here
radiant topaz
Alright if the x_i = ln(1 + (i/n)) then?
royal light
is it because they have ln(1 + x) in the definite integral that makes it so xi = i/n making a = 0
radiant topaz
Yeah x_i = i/n
royal light
ok
also
how would i do this
ive done this so far
but i dont know if its even right
wraith daggerBOT
fäf
royal light
i understand that
wraith daggerBOT
fäf
royal light
yes i know
royal light
can u help with this
wraith daggerBOT
fäf
radiant topaz
Alright this
cedar kilnBOT
radiant topaz
ok nvm i think the answer they gave is just wrong
Open the channel
royal light
did you get 51 as your answer
cedar kilnBOT
Available help channel!
cedar kilnBOT
<@734794827077648586> did u get 51 as your answer
royal light
cuz if not then my answer key is just wrong
royal light
i used calculators online and it gave me 81.75
which is what i got
but thats not what my answer key says
wraith daggerBOT
royal light
if a function is continous on [a,b] then Ln = Rn
and i found Rn
and Rn = 81.75
bro 124 isnt even an answer
just wasting my tim
.close
cedar kilnBOT
radiant topaz
just wasting my tim
Wth
I'm not here to give out answers, I gave you explaination
,w sum (n)³+2(n)+1 from n=1 to 4
wraith daggerBOT
cedar kilnBOT
Available help channel!
radiant topaz
The options may be wrong
cedar kilnBOT
The options may be wrong
radiant topaz
,w integrate (x³+2x+1) from 1 to 4
wraith daggerBOT
hardy isle
Yo
hardy isle
Help
north wyvern
@hardy isle type .close in this one
crimson sedge
.close
bronze briar
cedar kilnBOT
cedar kilnBOT
@bronze briar Has your question been resolved?
bronze briar
<@&286206848099549185>
dreamy zealot
Hi!
dreamy zealot
I need some help using Wolfram Mathematica
when plotting a piecewise function there is a "true" statement in there, could that be avoided?
cedar kilnBOT
@dreamy zealot Has your question been resolved?
cedar kilnBOT
@dreamy zealot Has your question been resolved?
crimson sedge
In the accompanying figure of triangle ABC, a =10 b=10 and the measure of angle A is 75 degrees. find the area of triangle ABC
crimson sedge
tropic oxide
MS Paint?
cedar kilnBOT
What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
1
crimson sedge
ok nvm
what im thinking is since there are 2 conguruent sides and since of them is already 75 degrees
im thinking angle B is also 75 degrees
tropic oxide
that sounds more like status 2 to me.
yes, triangle ABC is isosceles. yes, angle B is 75°.
crimson sedge
i dont know what to do after that tho
crimson sedge
that sounds more like status 2 to me.
lol sorry
tropic oxide
draw the altitude from C onto AB
crimson sedge
draw the altitude from C onto AB
tropic oxide
wonky
crimson sedge
hahaha
tropic oxide
call the other end of that H
crimson sedge
ok
tropic oxide
look at triangles ACH and BCH
crimson sedge
ok
cedar kilnBOT
@crimson sedge Has your question been resolved?
loud forum
A cylindrical tank with the radius of 5m is being filled with water at of 3 m^3/min. How fast is the height of the water increasing?
tame wraith
A cylindrical tank with the radius of 5m is being filled with water at of 3 m^3/...
you want dh/dt
you know that
V = pi * r^2 h
use chain rule
dh/dt = dh/dV * dV/dt
loud forum
we use chain rule on the Volume equation?
tame wraith
we use chain rule on the Volume equation?
yh perfectly fine
if anything you should, because if it were a
pyrimid
youd need to use chain rule
tame wraith
@loud forum what are you doing
if youre differentiating both sides by t
which also works
v turns into dV/dt
you still need to use product rule
for
r^2 h
dr/dt is 0 anyway
since cylinder has a constant radius
loud forum
Am I using chain rule for the product rule?
tame wraith
yh you still use chain rule
but its irrelevant here
since r is a constant
you dont even need to use product rule
just differentiate the V and h
loud forum
Ignore the highlighted parts, that’s for different problem
But we do need to plug in r no?
tame wraith
just because you need to plug in r, doesnt mean its not constant
also you didnt do prduct rule right to begin with
should be r^2 dh/dt
what is dr/dt then.
tame wraith
Derivative of r?
yes
but i mean
literally
what is dr/dt
dV/dt is 3 m^3/min
what do you think dr/dt is
loud forum
that’s dr/dt
loud forum
oH wait it doesn’t
loud forum
should be r^2 dh/dt
If you use product rule, I assume it’s 2r(dr/dt)h + (dh/dt)r^2
loud forum
accidentally deleted it-
So I plugged my numbers
what is dr/dt
Again, the radius doesn’t increase
so what number do I put as my dr/dt
we also don’t get a specific height
so then it’s remains as h
tame wraith
@loud forum didnt we literally establish
that the radius doesnt increase
so dr/dt = 0
tame wraith
@loud forum you forgot the pi
loud forum
Didn’t the Pi cancel
tame wraith
no
loud forum
cuz of derivative-
loud forum
oHhHhH because pi multiplies to the other two
I just forgot to add it-
thanks a lot
figured it out thanks to you 
radiant topaz
You're welcome
sudden robin
I am stuck in obtaining the three pythagorean identities using pythogorean theorem. Any help is appreciated
royal loom
What have you tried
sudden robin
I have no idea what to do really
royal loom
have you atleast wrote out the pythagorean theorem
sudden robin
yeah i did
royal loom
and drawn the triangle it relates to
sudden robin
alright
royal loom
And from that, use SOHCAHTOA. Relating to an angle inside the unit circle, what is cos(theta) and what is sin(theta)
sudden robin
oh ok
royal loom
let me know what you think cos(theta) and sin(theta) are
sudden robin
i think i got how to solve this question. thank u tho
royal loom
oh nice! no problem
cedar kilnBOT
@sudden robin Has your question been resolved?
cedar kilnBOT
cedar kilnBOT
Available help channel!
steep umbra
How to approach problem 19?
cedar kilnBOT
How to approach problem 19?
stray drift
How to approach problem 19?
Think about binary numbers
steep umbra
In each wallet i will place 2^0 2^1 2^2 ...... 2^7
stray drift
Yes
steep umbra
Thanks for helping
crimson sedge
$\frac{d^2}{dt^2}X(t)=\frac{kX_2-kX(t)}{[(X_2-X(t))^2+(Y_2-Y(t))^2][|X_2-X(t)|+|Y_2-Y(t)|]}$
wraith daggerBOT
! R4MP4G3
crimson sedge
Not sure where to start with the above equation and the absolutes throw me off
cedar kilnBOT
crimson sedge
.reopen
cedar kilnBOT
Available help channel!
spiral orbit
Domains and Ranges of composite functions
cedar kilnBOT
Domains and Ranges of composite functions
spiral orbit
channel's taken bruv
river nexus
means?
spiral orbit
river nexus
😶
cedar kilnBOT
@spiral orbit Has your question been resolved?
cedar kilnBOT
@spiral orbit Has your question been resolved?
cedar kilnBOT
@spiral orbit Has your question been resolved?
spiral orbit
.close
fickle ermine
if V is a finite dimensional vector space and T: V -> V is onto, then T is one to one.
fickle ermine
I know if T is linear, T is onto <=> T is one to one
but the problem doesn't give T is linear. I have no idea pls give some hints
quartz frost
What is t? Only T was given
fickle ermine
no it is True/false example
quartz frost
But what is t? The same as T?
quartz frost
f(x)=x^3-x
f has roots x=0, x=1, x=-1
f is definetely onto
But not one to one as the kernel is not empty
tropic oxide
but the problem doesn't give T is linear. I have no idea pls give some hints
if T isn't known to be linear then it can't be known to be one to one from being onto
fickle ermine
@tropic oxide Why?
quartz frost
I gave a counter example
fickle ermine
oh i got it
quartz frost
Let V be the natural numbers
f(1)=f(2)=0, for other x: f(x)=x-1
f is onto but not one to one
fickle ermine
yes Thank you I really understand
sacred grail
natural numbers isn't a fd vector space usually 
fickle ermine
thanks for counter example
quartz frost
True
fickle ermine
.close
cedar kilnBOT
fickle ermine
.reopen
cedar kilnBOT
✅
fickle ermine
.close
summer sandal
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.
x = t^4 + 2
y = t^3 + t
t = 1
y(x) =
summer sandal
@uncut veldt I NEED HEELP
quartz frost
We should first get dy/dx
If we get dy/dt and dx/dt we can do one of the following:
Rewrite to get dy and dx and then get dy/dx
Or do dy/dt / dx/dt
Both works
summer sandal
so now would i plug in 1
quartz frost
dy/dt / dx/dt = dy/dx * dt/dt = dy/dx
Because dt/dt=1
Alternatively we can do:
dy/dt=3t^2+1
Therefore
dy=(3t^2+1)dt
For dy we get dx=4t^3dt
dy/dt=(3t^2+1)dt/4t^3dt=(3t^2+1)/(4t^3) * dt/dt
And here again dt/dt=1
summer sandal
-3(t^2+1)/4t^4
quartz frost
(3t^2+1)/(4t^3)
summer sandal
i did the quiotent rule to that
quartz frost
Quotient rule?
quartz frost
We are not really differentiating here
summer sandal
ahhh ok
quartz frost
we already have dy/dx via rearraging
summer sandal
ok, so what next
summer sandal
it is 4/4 so 1
summer sandal
ok
quartz frost
y=mx+b
Now we need b
y=x+b
To do that we have to get a pair of x and y
We can get them by putting t=1 into y(t) and x(t)
summer sandal
so the equation we started with?
quartz frost
Yes
summer sandal
x=3 y = 3
2
y=2
x= (1)^4+2=3
y=(1)^3+(1)
=2
@quartz frost ?? is that correct??
summer sandal
so -1
quartz frost
Yes
quartz frost
Yes
summer sandal
have a great daty
quartz frost
👍
summer sandal
.close
austere widget
Hi there, I am a student trying to tweak the physics equation for moment of rotational inertia (MOI) such that I can calculate it for my object. As my object is a complex rigid body, I am attempting to use the MOI formula for a cuboid to derive the MOI for my object. Normally you would convert dV into the volume of the cuboid, but here I am manipulating it such that dV is the [Volume of cuboid - Volume unoccupied by object]. This way I would not need to figure out the algebraic equation of my object.
My current problem is that I'm not sure if I am integrating it correctly or if there is a better way as this is beyond my level. To anyone that replies thank you!
austere widget
This is my reference pic
if it helps this is how one of my objects look like, it's a waterwheel
<@&286206848099549185> sorry for the ping guys!
cedar kilnBOT
@austere widget Has your question been resolved?
austere widget
<@&286206848099549185>
mental trail
I'll repost my message here. @austere widget You need more variables than r. The radius of the semi circles is required at least
austere widget
Here are its dimensions
they arent exactly semicircles, more like ellipses tho,
the depths that I have are 0.00cm, 0.25cm, 0.50cm, 0.75cm, 1.00cm, 1.25cm, 1.50cm, 1.75cm
Here's how i created the blades (ellipses)
cedar kilnBOT
@austere widget Has your question been resolved?
crimson sedge
they arent exactly semicircles, more like ellipses tho,
calculate areas of the semi ellipse shaped things then just add them?
pi(ab) - pi(a' b')
austere widget
the problem is im not sure how to take into account the portion that overlaps with the circle at the center
lemme make another diagram
crimson sedge
the problem is im not sure how to take into account the portion that overlaps wi...
be a physicist like me and assume it to be neglibile 😌
austere widget
austere widget
be a physicist like me and assume it to be neglibile 😌
my teacher's so gonna kill me over the accuracy hahahah
this is for a physics report
and somehow i got to math
💀
crimson sedge
im not sure how to account for the overlapped portions but as far as i can see
i cant really draw it and send but if you can notice then assuming that the ellipse is a perfect semi-ellipse the circle cuts out an approximately triangle shaped component
if you want accuracy to some degree you can use this approximation, im not sure how would we be precise about it tho
austere widget
yeah i did consider finding the overlapping component with arc area hmmm maybe ill try again
cedar kilnBOT
@austere widget Has your question been resolved?
cedar kilnBOT
cedar kilnBOT
Available help channel!
lament yoke
hi!i have got a question:how do u calculate the sine in a non-right triangle?
lament yoke
yeah,that's where this question comes from
i noticed that when took solely the sine ,calculating it independently
that could be any sine in a non-right triangle
humble marsh
the sine is a property of an angle, not the triangle
you can use right triangles to calculate it
lament yoke
you can use right triangles to calculate it
can i do that without those?
humble marsh
can i do that without those?
sin(x) is defined as the y-coordinate of the point at an angle of x around the unit circle
can you give the example that prompted the question?
lament yoke
there's an exercise,don't know where it is ,but basically
there was a given line and an angle
i don't remember if the sine or some other angle was required
but since it's the sine law
i get it
but the second one ,I was just wondering how could u calculate it on its own?
gleaming cloud
Power series
lament yoke
and how do u do that?
gleaming cloud
sinx = x -x^3/3! + x^5/5! - ...
lament yoke
where does that come from?
gleaming cloud
Calculus
lament yoke
I have never encountered that form
lament yoke
I'm in high school,plenty of things r unseen by my eyes
what theorem was that over there?
gleaming cloud
Not really a theorem but it's called power series
That's the way we normally define sin
And there's a way to relate this to the geometric picture
lament yoke
interesting
perhaps,when i get to this form,Math will be taught as more than just formulas
thanks
.close
cedar kilnBOT
cedar kilnBOT
Available help channel!
marsh pond
cedar kilnBOT
tropic oxide
no
marsh pond
f'(0) is where the slope is 0, i thought?
marsh pond
oh
tropic oxide
confusing input with output
marsh pond
that makes sense
yeah, it's the input of the derivative
so it would refer to the x value only
x=0
but here I wanna set it y itself EQUAL to 0
of the derivative
not sure if i worded that correctly
I wanna set the derivative equal to 0? or y equal to 0?
i think if I set the derivative equal to 0 it would be f'(x) = 0
tropic oxide
you yourself do not know what you want to do
marsh pond
lol
ya pretty much..
i need to identify the location and maximum value of the function
so first i find the derivative
then i set the derivative equal to 0 to find the x=something value, which is the local max or min
flint plinth
haven't you already done that?
just cross out the last line, everything else is ok
(you should probably explain why x=8 corresponds to a local max and not a local min)
marsh pond
then i set the derivative equal to 0
i think my wording is incorrect here
i replace f'(x) with 0?
tropic oxide
`then i set the derivative equal to 0`
this wording is fine.
marsh pond
oh OK
dull oxide
then i set the derivative equal to 0 to find the x=something value, which is the...
which is a critical point. It could be neither max nor min (y=x³)
tropic oxide
you've set the derivative equal to 0 and you have found the x coordinate at which it equals 0
mental tide
you wanna find fx s max value right
marsh pond
which is a critical point. It could be neither max nor min (y=x³)
that makes sense. whenever f'(x) is 0, it's neither increasing nor decreasing
so therefor it must be a max or min
or another word, can't remember
like x^3 at origin
inflection point?
halcyon marlin
is only local
marsh pond
and it may not even be local max
there could be multiple curves
so i gotta test them all to see which one is higher/lower
if it's a really long polynomial
royal loom
I heard we needed more helpers
crystal raptor
Assemble
mental tide
mental tide
If i understood what you wanna find thats the answer
marsh pond
ppl will get upset for answers, just warning you
tropic oxide
!nosols
cedar kilnBOT
As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
violet night
I don't even understand what your problem is, you found the what x corresponds to the stationary point , you understand the relation between f(x) and f'(x)
mental tide
Oh i didnt know that
mental tide
Should i delete it?
marsh pond
I don't even understand what your problem is, you found the what x corresponds t...
just couldn't remember if it's f'(0) or 0 that i wanna solve for
but now it makes sense
mental tide
f(x)=y=0
mental tide
If its f'(0) then just put 0 on x-s you will find it
wraith daggerBOT
mental tide
Yea thats it
halcyon marlin
compare answers and you will 'remember' which is correct again
marsh pond
Hmm if you meant f'(0) yep ur right
typo, f'(x) = 0
i'm replacing the derivative with 0
and finding the value of x that causes it to be true
mental tide
Then f(0)=x
mental tide
and finding the value of x that causes it to be true
I got it
marsh pond
.close
smoky trench
Hello
smoky trench
cedar kilnBOT
@smoky trench Has your question been resolved?
crimson sedge
C
crimson sedge
@worthy ferry because I can't be checking discord 24/7
granite knoll
!show
cedar kilnBOT
Show your work, and if possible, explain where you are stuck.
west gazelle
@crimson sedge how old are you ?
crimson sedge
14
granite knoll
combine like terms
granite knoll
yes
crimson sedge
And sort by highest to lowest degree
granite knoll
you don't need to sort anything
crimson sedge
-2y²
granite knoll
yes
granite knoll
you didn't do your arithmetic correctly. the minus sign in front of the second parentheses applies to all those terms
not just the first one
granite knoll
yes
granite knoll
where did the "a^2" come from?
granite knoll
you aren't multiplying those two
granite knoll
yes
granite knoll
yes
crimson sedge
Here would I just distribute both numbers into both other numbers?
granite knoll
what would be your guess?
crimson sedge
I don't know but I'd say remove parentheses
granite knoll
no, there's an exponent there
crimson sedge
Distribute to 13 and b?
granite knoll
what do you mean? do you know what the exponent "2" means there?
crimson sedge
No
granite knoll
$x^2 = x \cdot x$
wraith daggerBOT
cwatson
granite knoll
no, the "x" was just an example. the "2" means "squared" and it means you multiply something by itself
so $(b + 13)^2 = $ what
crimson sedge
I'm lost
granite knoll
you have to multiply (b + 13) by itself. does that make it more clear?
crimson sedge
So (b+13)(b+13) ?
granite knoll
yes
granite knoll
no, use "FOIL", the same as your previous problem
granite knoll
yes
crimson sedge
What does the =0 at the problem represent
granite knoll
oh actually I hadn't noticed before
crimson sedge
Oh
crimson sedge
B and -b?
wraith daggerBOT
cwatson
granite knoll
how can you get 0 from multiplying two numbers
crimson sedge
If one is 0
granite knoll
yes
crimson sedge
So how would that help
crimson sedge
-13 both side
granite knoll
yes
crimson sedge
So where would I use that
granite knoll
what do you mean?
crimson sedge
Like where would I -13 both sides
granite knoll
what do you mean "-13 both sides"?
crimson sedge
Wait
granite knoll
look at the original equation. Plug in b = -13. what do you get?
granite knoll
...you just found the answer...
granite knoll
no
it's kinda similar
you have 3 numbers multiplied together. how can you get 0 from that?
crimson sedge
If 1 = 0?
granite knoll
no... 1 does not equal 0
crimson sedge
If one of the numbers = 0?
crimson sedge
So I would make 3 different equation?
granite knoll
yes
crimson sedge
Without parentheses right?
granite knoll
it won't matter
granite knoll
guess if you have to
crimson sedge
2y= 0
granite knoll
yes
granite knoll
so? there are 3 terms, so 3 equations to solve for "y"
you have the first one already
crimson sedge
Y=0?
granite knoll
from the first equation, yes
crimson sedge
What about second one
granite knoll
what do you think the second one is?
crimson sedge
Y-9=0
granite knoll
yes
granite knoll
you need to solve for y
crimson sedge
+9 both sides?
granite knoll
you should know how to solve "y - 9 = 0" by now, you've done a similar problem already
crimson sedge
-9y?
granite knoll
no
crimson sedge
Idk
granite knoll
,tex .alg lesson
crimson sedge
??
wraith daggerBOT
cwatson
granite knoll
read that
crimson sedge
Y=9
granite knoll
yes
granite knoll
yes
crimson sedge
How would I do this
granite knoll
do you have a textbook? or course notes or something? this is harder to teach
crimson sedge
Yes let me grab it
granite knoll
crimson sedge
Ok I'll watch
I'll do that later wow that's hard to understand
What do I do here
granite knoll
it's the same type of problem. it'd be helpful if you watched the video or checked out your book/notes
granite knoll
well y, but ye
runic garnet
Either close ur last channel or close this one
acoustic plinth
idk how to close it man
cedar kilnBOT
@acoustic plinth Has your question been resolved?
cedar kilnBOT
@acoustic plinth Has your question been resolved?
slow thicket
@acoustic plinth.close
slow thicket
like how did we add 1- 1/1+x^2. ?
wdym
crimson sedge
cedar kilnBOT
crimson sedge
I don't know where to start
languid bobcat
n(n^2 -9)
kindred violet
whats a common term that both n^3 and 9n have
crimson sedge
N
kindred violet
thats the awnser
wait nvm
@crimson sedge whats something that you can do to both x^2 and 9
kindred violet
you can square root both
wintry vault
$$\text{you can factor out n from both: }\$$
$$n^3-9n = n(n^2-9)$$
kindred violet
Square root of 9 is 3 square root of 2 is idk
now what do we do
wraith daggerBOT
Talent Unlimited
crimson sedge
I'm struggling
kindred violet
n(n+3)(n-3)
crimson sedge
Where did u get that from
kindred violet
when you multiply by the conjugate and its in the form x^1+-a
wintry vault
Where did u get that from
$$\text{using this identity: }\$$
$$a^2-b^2 = (a+b)(a-b)$$
wraith daggerBOT
Talent Unlimited
wintry vault
**Talent Unlimited**
@crimson sedge you have n^2 - 9 in the form of a^2 - b^2, so you can expand that out into (n+3)(n-3)
kindred violet
(x-3)(x+3) xtimesx is x^2 -3timesx is -3x 3timesx is 3x so -3x and 3x cancel and -3times3 is 9
kindred violet
n^3-9n
marsh pond
cedar kilnBOT
marsh pond
why is the height of the rectangle (h) equal to exactly the y value? 1-x^2
flint plinth
that's what "inscribed" means
marsh pond
the -x^2 itself has a maximum y value of 1
flint plinth
the upper corners of the rectangle just touch the function
flint plinth
this is a math term?
yep
it comes from geometry: https://en.wikipedia.org/wiki/Inscribed_figure
dull oxide
flint plinth
well for that particular odd polynomial i don't think you could inscribe anything because it only crosses the x axis once
flint plinth
but other cubics have three roots in which case you could
flint plinth
that one is always above the x axis
marsh pond
that is the exact value for height?
of the inscribed rectangle
interesting..
oh of course
that's when y = x
so it's where y and x meet, right?
at exactly the same point
so therefor, it must be a point on the graph
touching the line of the parabola
inscribed rectangle with maximum volume will always be using the point y=x
or maybe -y=x
if it's positive or negative parabola
.close
nimble relic
cedar kilnBOT
nimble relic
i get stuck after i move 3x
i did A but i got a question on the factoring out 5x-ax. For part B i need help
granite knoll
what are you stuck on for B
nimble relic
i get up to -8y=6-3x
granite knoll
how can you get y on its own
cedar kilnBOT
@nimble relic Has your question been resolved?
granite knoll
yes
livid hound
ik you cant have a - denom
where are you getting that idea
nimble relic
my friend said you cant have a - denom so you multiply it
livid hound
its legal to have stuff like that in the denominator
though you should ultimately simplify/manipulate so that it doesn't
nimble relic
oh i got confused with square root
i tried getting help from photo math but it put the 8 twice
6/8 and 3/8
i dont get why its two separate fractions
cedar kilnBOT
nimble relic
.reopen
cedar kilnBOT
✅
cosmic steppe
i dont get why its two separate fractions
$\frac{a \pm b}c = \frac ac \pm \frac bc$
wraith daggerBOT
Umbraleviathan
cosmic steppe
I hope you know how fraction addition/subtraction works if you're doing linear equations
cold knoll
type .close
nimble relic
.close
cedar kilnBOT
Available help channel!
foggy quartz
<@&286206848099549185>
cedar kilnBOT
<@&286206848099549185>
upbeat dune
foggy quartz
hi
upbeat dune
Is there anything you need help with?
foggy quartz
Confidence intervals
I have a packet of questions that is due at 9:20 am and it's 12:24 am right now
crimson sedge
@foggy quartz send questions
upbeat dune
Here
foggy quartz
Okay.
foggy quartz
Thank you
crimson sedge
No worries
crimson sedge
This is statistics?
crimson sedge
Okay what grade? @foggy quartz
foggy quartz
Freshman in college
crimson sedge
Yeah I didn’t know it was statistics lol
foggy quartz
2nd time taking this class
crimson sedge
In my high school we have statistics and AP stats, but I never was interested
foggy quartz
Do you think you could help at all?
If not it's okay
I just need to boost my grade
crimson sedge
I’m not in college I’m really sorry
foggy quartz
Yikes
foggy quartz
I've been struggling for 6 hours aha
cedar kilnBOT
@foggy quartz Has your question been resolved?
wise prairie
ew stats
dire geode
no point in sending your entire assignment. close and reopen a channel with one problem at a time
wise prairie
#4 should be 131
also all ur questions are like on chegg
check on there
@foggy quartz
cedar kilnBOT
@foggy quartz Has your question been resolved?
foggy quartz
no point in sending your entire assignment. close and reopen a channel with one ...
they told me to
cedar kilnBOT
cedar kilnBOT
Available help channel!
foggy quartz
use homeworkify
thank you, I’ll try this
cedar kilnBOT
thank you, I’ll try this
wise prairie
thank you, I’ll try this
fs
cedar kilnBOT
@foggy quartz Has your question been resolved?
royal loom
is this a test
cedar kilnBOT
cedar kilnBOT
Available help channel!
marsh pond
cedar kilnBOT
marsh pond
Why is this true?
tropic oxide
exponential and logarithmic functions are inverse to each other...
marsh pond
Right but is there any more info to see behind the scenes?
tropic oxide
no
tropic oxide
you say "becomes" as if that transformation is obligatory and unique
marsh pond
But with e^ln(x) I don’t follow
marsh pond
you say "becomes" as if that transformation is obligatory and unique
I’m not gonna go into wording just that I understand it
tropic oxide
idk what to tell you
marsh pond
but e^ln(x)
tropic oxide
ln(x) is the answer to "e raised to what power gives x?"
that's what it means for ln to be the inverse of exp
when you raise e to the power to which e must be raised to give x, what could you possibly get if not x?
marsh pond
2^log_2(100) is 100?
tropic oxide
yes of course!!
quartz frost
Lets say f and g are inverse to each other. Then f(g(x))=x, no?
marsh pond
how did you learn about logarithmic functions?
Not this way
tropic oxide
then HOW???
you are literally telling me that you don't know the definition of log_a(x)
marsh pond
Lets say f and g are inverse to each other. Then f(g(x))=x, no?
I’m not sure.. I do know inverse functions must be one to one
marsh pond
I’m not sure.. I do know inverse functions must be one to one
Domain and range swap
storm mural
I’m not sure.. I do know inverse functions must be one to one
to be fair assuming a real valued ln
e^ln(x) = x only for x > 0
marsh pond
Right
quartz frost
Think about the wording maybe.
ln(a)=b means e to the power of b equals a. Or: to what power must e be taken that it equals a
tropic oxide
to be fair assuming a real valued ln
e^ln(x) = x only for x > 0
you're going to confuse her even more.
marsh pond
No I do know that log arguments must be positive
tropic oxide
do you have anywhere in your notes the first class in which you were introduced to logarithms
the first, the very beginning
marsh pond
Think about the wording maybe.
ln(a)=b means e to the power of b equals a. Or: t...
That makes sense to me
quartz frost
No I do know that log arguments must be positive
log_(-1)(-1)=1 hehe
tropic oxide
do not.
marsh pond
It’s not legal
quartz frost
Think about the wording
Log_a(b)=c
is equivalent to
a^c=b
a to what power equals b? Answer: c
