Nah
#help-23
stray socket
No
The ENTIRE left hand side
Hopefully the bot works
$$\sqrt{3x+1} - \sqrt{2x-1}$$
Nope it's dead
stray socket
Not everything
Just the one between the two terms
What symbol is between the two terms
proud sedge
proud sedge
Why we do that?
stray socket
Because (a-b)(a+b) = a^2 - b^2
Gets rid of the square roots
What you have to do on side, you do to the other
proud sedge
^ is this multiply
proud sedge
Okay
proud sedge
Wdym
stray socket
If you multiply by the conjugate, the RHS doesn't turn into perfect squares
Which means they're stuck as a square root
Give me a sec to think about this
proud sedge
Okay
stray socket
Lmao what
proud sedge
Some cringe kid
proud sedge
And use (a-b)2 on the upside = a2 on the upside - 2ab + b2 on the upside
stray socket
Actually try that
Actually no... I don't think it'll work out nicely
2ab is not a perfect square
I mean go ahead and try that ig
sand minnow
yeah its not too bad
sand minnow
just need to do another square later
stray socket
Square again
sand minnow
right hand side
sand minnow
yeah, now move everything except the square root to one side and square both sides
you should then be able to simplify it to a quadratic and use quadratic formula to find solutions for x
sand minnow
if you got this far then im sure you know that u can do that
proud sedge
Yeah but im not really sure
sand minnow
is there any reason why you shouldnt be able to do it?
proud sedge
Idk if its going to be correct
sand minnow
it will, you are following algebra rules
weak raptor
how do i solve C?
safe radishBOT
how do i solve C?
split ether
First I'd work out the nominator
If f(x) = 2x + 5
Then f(x + d) - f(x) = 2(x + d) + 5 - (2x + 5)
Which is the same as 2x + 2d + 5 - 2x - 5
weak raptor
What is D?
split ether
Just a number
weak raptor
ok
split ether
After cancelling you get that f(x + d) - f(x) = 2d
So just divide that by d and that's it
lean otter
can u help with this question ?
weak raptor
If f(x) = 2x + 5
Then f(x + d) - f(x) = 2(x + d) + 5 - (2x + 5)
How did you go from f(x+d)-f(x)=2(x+d)+5-(2x+5)?
split ether
can u help with this question ?
Post it in an available channel
split ether
How did you go from f(x+d)-f(x)=2(x+d)+5-(2x+5)?
f(x) = 2x + 5
So f(x + d) = 2(x + d) + 5
You just put x+d instead of x
lean otter
Post it in an available channel
alright
weak raptor
im here
split ether
and how would you divide by d?
f(x + d) - f(x) = 2d
(f(x + d) - f(x))/d = 2d/d = 2
lapis spade
safe radishBOT
lapis spade
Hi 😂
I’m alright thanks
Can I get a step by step method to solve a question like this in the future
Waiiiit
I might have got it
lean otter
Okay hmm which part confuses u more, the mathy part or the significant figures part
And oh?
lapis spade
I have to substitute in the lowest possible numbers that round to those numbers under those conditions
lean otter
Okay okay so how good do you think is your knowledge of significant figures
lapis spade
iffy lol
lean otter
I could explain it to you butttt
I'd recommend watching this guy's video tbh, because I don't want you to get confused by some of my partial teaching https://youtu.be/BmeImtwhfj8
I know it is 40 minutes long, but skip through it. The guy speaks slow generally
lapis spade
so the lower bound of 42 to 2sf is ... 41.5?
lapis spade
ah shit
lean otter
I really recommend watching the video I sent
For all future problems
And then come back here and try out the question
safe radishBOT
lean otter
Wait did u manage to figure it out?
lapis spade
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safe radishBOT
✅
lean otter
Ohh okay okay good luckk
lapis spade
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leaden scaffold
Can someone explain to me how this works:
safe radishBOT
Can someone explain to me how this works:
dusty orbit
how do i graph y=-4x^2
leaden scaffold
how do i graph y=-4x^2
Move channels bro…
lean otter
Can someone explain to me how this works:
Hmmm have u tried sandwich theorem?
Could be helpful
leaden scaffold
Can someone explain the process of how we got to 3/4.
leaden scaffold
Hmmm have u tried sandwich theorem?
Probably have, might not remember it as that term
leaden scaffold
Hmmm have u tried sandwich theorem?
How does it work?
nova creek
lim x->0 sinx/x = 1 is a famous limit
solar hazel
this looks like it’s just algebraic manipulation and product rule of limits
lean otter
Okay actually
Don't use sandwich theorem
U want to transform it to something u can use sinx/x on
Okay so it is hard to see, but you want something such so u can have something of the form sinx/x
You have sin(3x)/sin(4x), what multiplication should we do to get to something of the form sinu/u
Also, remember, $\frac{sinx}{x} = \frac{x}{sinx} = 1$
Nvm ig lmao
Fix the bot's shenanigans with ur powers @solar hazel 🙏🏻
It needs some kick in the butt
nova creek
sin²x = x² 
lean otter
i was trying to say that needs a limit attached to it
Jokes on you, I'm an engineer so sinx = x 😌
But yeah forgot that lmao
solar hazel
aw you got me 
leaden scaffold
Okay actually
Okay do you see the third step?
The one where I’m multiplying?
<@&286206848099549185>
nova creek
What's your question
leaden scaffold
Can someone explain to me how this works:
Right here @nova creek
nova creek
Yeah, but I think it's already been answered
lean otter
Yeah
It's just the identity sinx/x
Take 3x = u and 4x = v
Your limit will still be lim u->0 too
leaden scaffold
Take 3x = u and 4x = v
What do you mean by u and v?
nova creek
It's a substitution
safe radishBOT
@leaden scaffold Has your question been resolved?
leaden scaffold
It's a substitution
Are you still available?
lean otter
safe radishBOT
lean otter
who can help me
safe radishBOT
@lean otter Has your question been resolved?
dark pike
safe radishBOT
dark pike
what does it mean the real part though
dark pike
i dont get what the question is asking then
halcyon carbon
Any term with i attached to it is not considered a real part
? Have you multiplied out the brackets
dark pike
as in FOIL?
halcyon carbon
Yeah
safe radishBOT
@dark pike Has your question been resolved?
dark pike
<@&286206848099549185>
dark pike
dark pike
can we see your work?
I foiled it and then just took the 15 as the rest had Is in them
hot thistle
And remember that i^2 = -1
@dark pike
hot thistle
15 - -6
hot thistle
yes
lean otter
So I have no clue how to simplify this second term t2. I know I can write the implications in another way but it doesn’t help me to simplify the whole term or am I missing something.?? ( ignore the sleep b in the question it’s just translated wrong lol )
safe radishBOT
So I have no clue how to simplify this second term t2. I know I can write the im...
safe radishBOT
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idle vortex
is cycle the same as period ?
safe radishBOT
is cycle the same as period ?
idle vortex
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@idle vortex Has your question been resolved?
idle vortex
<@&286206848099549185>
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dense hamlet
Can someone remind me what to do when subtracting ln(a) - ln(b)
safe radishBOT
Can someone remind me what to do when subtracting ln(a) - ln(b)
dense hamlet
in my case the numbers are ln(5) - ln(1)
spring wolf
its ln(a/b)
trim swan
ln(a)-ln(b)=ln(a/b)
frigid panther
combine using the subtraction rule of logarithms
dense hamlet
thanks guys
spring wolf
in your case it becomes ln(5)
dense hamlet
also as i was typing I realized that ln(1) is 0
frigid panther
Lol
dense hamlet
niche case
dense hamlet
yup
frigid panther
and then your other pair of 1s cancel out
and then your other pair of 1s cancel out
dense hamlet
okay now I might need other help with the Mean Value Theorem
that involves said ln(5)
upper surge
someone pls help
trim swan
someone pls help
upper surge
Ok
dense hamlet
f(x) = ln(x) on the interval [1,5]
f'(x) = 1/x
f"(x) = f(5)-f(1)/4
the bottoms equals ln(5)/4
and in order to solve for c you set the 1/c equal to ln(5)/4
but im not really sure how to do that
do you just multiply by c to get 1 = (ln(5)/4)c and then divide by ln(5)/4
trim swan
Yep
dense hamlet
okay
trim swan
Just to clarify, though, f(5)-f(1)/4 is the average rate of change over the interval [1,5]
It has nothing to do with f''(x)
dense hamlet
the final answer is 4/ln(5)
trim swan
Yep
safe radishBOT
trim swan
No problem 👍
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dense hamlet
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austere gorge
Find the value of k so that the system of equation has no solution
kx + 6y = 6
y = 2/3x - 4
dense hamlet
so x would = 9/4?
lusty widget
seems abt right
dense hamlet
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safe radishBOT
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karmic olive
safe radishBOT
karmic olive
How can I find these two functions?
safe radishBOT
@karmic olive Has your question been resolved?
karmic olive
no
safe radishBOT
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safe radishBOT
@karmic olive Has your question been resolved?
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loud breach
Hello, can someone help me with this problem?
safe radishBOT
Hello, can someone help me with this problem?
digital hornet
sonic harness
So it's a normal distribution for your first screenshot
meaning what?
It's the base case
so there's like no skew
When it's a normal distribution like that
it follows that the mean is approximately equal to the median
loud breach
Hello, can someone help me with this problem?
.close
safe radishBOT
sonic harness
@digital hornet
recalkl that the IQR is the 75th percentile
minus the 25th percentile
For standard deviations rule
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Available help channel!
turbid hamlet
Hey guys, I don't know where they get the final answer from, I'm not sure what Y1 or Y2 is even referring to here.. Can anyone help me out?
safe radishBOT
Hey guys, I don't know where they get the final answer from, I'm not sure what Y...
turbid hamlet
.close
forest hemlock
Hey.
forest hemlock
I need to prove or disprove this:
If A ∪ B is a finite set and A ∪ B is equivalent to A \ B then B = ∅.
I'm having a hard time with solving this
Would love to get an explanation on how to solve this.
I assume that it's right but I'm not sure.
quasi bison
when you say equivalent do you mean same cardinality
also i think you meant "disprove" and not "disapprove"...
forest hemlock
also i think you meant "disprove" and not "disapprove"...
sorry it corrected by itself
forest hemlock
when you say equivalent do you mean same cardinality
and yes
quasi bison
well since we're talking about cardinalities anyway
$A \cup B = (A \setminus B) \cup B$, and $A \setminus B$ and $B$ are disjoint. what do you know about the cardinality of a union of two disjoint sets?
flat frigateBOT
Ann
forest hemlock
I find it a little bit hard understanding what's disjoint because I study this on another language.
What I can tell you is that I know that A ∪ B means x ∈ A or x ∈ B.
x ∈ A \ B means ----- x ∈ A and x ∉ B
If a group is finite, that means the group has no really partially group that has the same cardinality.
I hope I explained it in a way you could understand, but from the info I have I can tell that the claim is right because the only time they will have the same cardinality is when x ∈ A
quasi bison
I find it a little bit hard understanding what's disjoint because I study this on another language.
what language?
maybe i can look up the translation into your language
we say two sets are disjoint if their intersection is the empty set.
forest hemlock
> I find it a little bit hard understanding what's disjoint because I study this...
Hebrew
quasi bison
hm. wiktionary doesn't have anything.
quasi bison
we say two sets are _disjoint_ if their intersection is the empty set.
do you understand this though
marsh granite
idk why the height of the small triangle is the slope of the graph multiply by (x-a)
safe radishBOT
idk why the height of the small triangle is the slope of the graph multiply by (...
marsh granite
isnt the height of the small triangle just f(x)-f(a)?
split ether
Yes, and f(x) - f(a) = (f(x) - f(a))/(x - a) * (x - a) = slope * (x - a)
marsh granite
Yes, and f(x) - f(a) = (f(x) - f(a))/(x - a) * (x - a) = slope * (x - a)
how is (f(x)-f(a))/(x-a) the slope?
split ether
That's the definition of slope
marsh granite
Yes, and f(x) - f(a) = (f(x) - f(a))/(x - a) * (x - a) = slope * (x - a)
is there a reason why instead of writing f(x)-f(a), we write it as (f(x)-f(a))/(x-a) * (x-a)?
is it because its easier to find the height?
split ether
Just so that the area comes out to be slope*(x - a)^2/2
uneven sphinx
So guys how did she get this
safe radishBOT
So guys how did she get this
uneven sphinx
What identity Am I missing?
grizzled fossil
Raise both sides to the power of two
grizzled fossil
What is (a+b)^2?
uneven sphinx
What is (a+b)^2?
Hey scape, not sure if its right cause expanding (Sin + cos)^2 = sin^2 +2cos*sine +cos2? what happened to the other cos?
safe radishBOT
Hey scape, not sure if its right cause expanding (Sin + cos)^2 = sin^2 +2cos*sin...
uneven sphinx
plus why would u square it like that when you can raise everything to the power two? but then that doesn't explain how we have 2sin?
compact ferry
this can only be true in an
safe radishBOT
this can only be true in an
compact ferry
open metric space M right
also this book uses the proper subset symbol for regular subsets
safe radishBOT
@compact ferry Has your question been resolved?
solemn vault
safe radishBOT
split ether
First I'd come up with some function involving |x| so that it draws graph with AB and BC in it
That would be y = 2|x - 3|/3 in this case
So it's just 2|x/3 - 1| <= y <= 2
quasi bison
I've to represent the inequality of the feasible region
it says "find the system of constraints"
or do you insist on there being only ONE inequality
quasi bison
ok then view this triangle as the intersection of 3 halfplanes
with each one having one of its sides as the boundary
solemn vault
Ok
quasi bison
the equations of the sides are y = 6, y = 2 - (2/3)x and y = -2 + (2/3)x
put ≤ or ≥ signs as appropriate based on the graph
and you have it
solemn vault
Ok but how do I put does sign like how would I know ??
The equation of the line AB is 2x+3y=6
Then how to put the signs ??
=, <=, >,<??
quasi bison
your triangle appears to be closed (i.e. it includes its boundary) so the inequality sign is nonstrict
as to whether it's ≥ or ≤, look at the graph
take a point on the same side of AB as the triangle
see if the value of 2x+3y at that point is greater or less than 6
and proceed accordingly
xor you could instead pick a point on the wrong side, then put the opposite sign to your result.
solemn vault
Let's say I plot (2,3) in the equation will be 22+33 = 4+9=13
So
How am I suppose to know??
So
13 > 6
So false right??
So
2x+3y>=6
Then??
Oh yep
Got it
.close
lean otter
can anyone help me? i have a few questions
safe radishBOT
can anyone help me? i have a few questions
@lean otter Has your question been resolved?
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@lean otter Has your question been resolved?
arctic locust
What are your questions?
safe radishBOT
safe radishBOT
Available help channel!
safe radishBOT
A suitable value
safe radishBOT
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night pasture
safe radishBOT
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fierce spire
but I'm not sure what to do from there
Shouldn't the denominator be $\frac{1}{9} (1+e^8)$
flat frigateBOT
FLORIDA MAN
night pasture
Shouldn't the denominator be $\frac{1}{9} (1+e^8)$
didnt' seem to work
<@&286206848099549185>
fierce spire
Well I got the dame answer again. Maybe try putting it in y=mx+b form
night pasture
Well I got the dame answer again. Maybe try putting it in y=mx+b form
I'm going to see if some other people get the same answer, and if so I'll just close the thread
fierce spire
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night pasture
pain
bitter solstice
i know the implicit derivative is
calc its value at (1/9, 1)
its 0
night pasture
calc its value at (1/9, 1)
its 0
oh.
wait
no it registered as wrong
I appreciate y'alls help but I think I'm just gonna bite the dust on this one
.close
safe radishBOT
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sick tusk
Does anyone know how to do this exercise?
Say that a sequence of ones (1) and less than ones (-1) is well distributed if the second sum is 0 and, moreover, in adding the left one right at the moment we obtain a negative result. For example, the sequence 1, -1, 1, 1,-1,-1 is well distributed because
1-1=0
1-1+1=1
1-1+1+1=2
1-1+1+1-1=1
1-1+1+1-1-1=0
In change, the sequence 1,-1,-1, 1, 1, -1 is not well distributed because the second partial sum is negative:
1-1=0
1-1-1=-1 <0!
How many sequences can be distributed between 20 units and 20 menys units?
safe radishBOT
Does anyone know how to do this exercise?
Say that a sequence of ones (1) and le...
ember sphinx
Does anyone know how to do this exercise?
Say that a sequence of ones (1) and le...
hm
good question coz i dk
safe radishBOT
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stuck python
Best way to know which proof techniques to use? Discrete Math
safe radishBOT
Best way to know which proof techniques to use? Discrete Math
solar hazel
breadth first searching
so i mean uhhh try a little bit of each of a few different things and see what happens
plucky elk
Best way to know which proof techniques to use? Discrete Math
not really a good use of the help channels. do actual problems and you'll learn techniques that way
safe radishBOT
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shell robin
im confused on how can we do the partial derivative of this
safe radishBOT
im confused on how can we do the partial derivative of this
shell robin
for fx and fy
unique bison
for fx and fy
FTC
safe radishBOT
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uneven fossil
for fx and fy
did you try to compute the integral first ?
lean otter
Hello I need help with this question
safe radishBOT
Hello I need help with this question
lean otter
let f be a function
which is measurable, positive
proof rigorously that
<@&286206848099549185>
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lean otter
@queen ermine
slender needle
Can someone explain how the first highlighted part becomes the next ?
sudden birch
For the first highlight, notice that x is to power of n+1-n. That simplifies down to x to the power of 1.
Just like how x is the same thing as (x+1) -1, n/(n+1) is the same thing as (n+1-1)/(n+1). We can split up that fraction into (n+1)/(n+1) - 1/(n+1)
sudden birch
Can someone explain how the first highlighted part becomes the next ?
You have any questions?
slender needle
I've got the x part but I dont understand the (n/n+2)^2 expanding
sudden birch
So you understand that x = (x+1) - 1, right?
Or wait
U understand that n = (n+1) - 1 right!
?
slender needle
yes
sudden birch
U r allowed to divide everything by (n+1) and the equation will still hold true
So n divided
(N+1) divided
And -1 divided
sudden birch
Like when he went from equation with limit to equation without?
slender needle
sudden birch
Oh
The radius mean the distance in between a big value and small value, right?
And the smallest value is -1 and biggest is +1, right?
Thus; the distance between 1 and -1 is 2
That’s like the diameter
The radius is diameter divide by 2
Also gn gtg and run sorry
slender needle
alright thanks
safe radishBOT
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rain spoke
Any idol who can tell me where I can find this demonstration of the sets of B.
drowsy moss
what do you mean?
rain spoke
It is the set of Borel
oh well the Borel sigma algebra, the properties it has, I haven't found its demonstration 😦
safe radishBOT
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rain spoke
rain spoke
<@&286206848099549185>
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rain spoke
help me :(( pls!
safe radishBOT
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gentle vale
fasf
stray socket
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unique basalt
$\lim _{x\to 0}\left(\frac{sin\left(2x\right)}{sin\left(5x\right)}\right)$
flat frigateBOT
cookie2
unique basalt
how to solve knowing that $\frac{\sin \theta}{\theta}=1$
flat frigateBOT
cookie2
maiden jetty
$$\frac{\sin 2 \theta}{\sin 5 \theta} = \frac{\sin 2 \theta}{2 \theta} \times \frac{5 \theta}{\sin 5 \theta} \times \frac{2}{5}$$
flat frigateBOT
秋水
unique basalt
$$\frac{\sin 2 \theta}{\sin 5 \theta} = \frac{\sin 2 \theta}{2 \theta} \times \f...
can explain?
maiden jetty
These two sides are equal, right?
unique basalt
I cant tell
maiden jetty
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polar knot
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polar knot
was this right?
so it goes 14 mph downstream and 12 mph upstream
so the speed in still water is 13 mph and the speed of the current is 1 mph?
safe radishBOT
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random rivet
how
plucky elk
isnt this adj over hyp
a is the opposite side to angle 49 deg
plucky moon
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plucky moon
I gotta find what the probability of the share price dropping by 5%
Im not really sure how I should go about solving it
<@&286206848099549185>
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plucky moon
<@&286206848099549185>
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blazing radish
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blazing radish
anyone know how to do this?
plucky elk
use a theorem about passing the limit under the integral
blazing radish
do u think u could do it for me im so lost
plucky elk
do u think u could do it for me im so lost
no
do your own work. this server isn't here to give answers
blazing radish
alright ill try
plucky elk
<@261933205387477002> bro u think u can help me im in <#905285721886187580> ?
don't ping me out of nowhere and don't spam other people's channels
desert geode
Im not spamming
ionic juniper
safe radishBOT
https://gyazo.com/5459d44fe0c44d99eb442231b614a2a8
ionic juniper
how do u do this like where do i start
sudden birch
write the equation for the area of a rectangle. Except write it in terms of p, length of one pine side, and s, length of the steel side.
Then write the equation for perimeter
Knowing area and perimeter is very important since the problem talks about a store with 800 ft^2 and talks about sides of a rectangle
Idk what to do next to get money, sorry
Something about making an equation relating lengths of sides to total amount of money
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indigo turret
How to find the missing side?
Given:
AB= 10
BC= 12
AD= 15
DL=BL
find AC * BD = ?
not a right triangle, so can't use Pythagorean.. no angles given
obsidian bone
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lean otter
Unless I’m missing something I feel like they have you more info than you need, but here’s what I got anyways
Oh wait did I assumed angle DAB and angle ABC are right angles where they may not be
Idk
Sorry
pastel depot
Hi, so the math I am trying to figure out is (I promise this is a genuine question, and I am not trying to be disrespectful in any way) if 20.8% of americans in gen z identify as lgbtq, and women are 3 times more likely than men to identify as lgbtq, then what percentage of men identify as lgbtq? I assumed this would be a simple algebra problem, and if it is then I'm sure I'll be able to solve it, but I'm having trouble figuring out how to set it up.
safe radishBOT
Hi, so the math I am trying to figure out is (I promise this is a genuine questi...
limber rune
let x be the chance for men to identify and 3x the chance for women. Then find x in terms of 20.8%. This should allow you to then find the percentage of men assuming men is 50% of the population
limber rune
shouldn't matter
pastel depot
ok
limber rune
either works
pastel depot
would i set it up as 3x + x = 0.208
limber rune
ye
limber rune
ye
then you can apply this to the idea that 50% of the population are men to find the percentage of men who would identify as lgbtq
pastel depot
oh wait i see
so is it just double
wait hang on
uh
no i dont think it would be double
i feel like the number would be too high
wait that might sound offensive
i just mean like
nvm
no yeah i think it would be 10.4 percent of men and 31.2 percent of women
because then the total average
would be 20.8 assuming it's a perfect half and half of men and women
if the number isn't accurate it's likely because the source just said roughly 3 times as many, but i can just plug in a different number if i find one more exact
pastel depot
no yeah i think it would be 10.4 percent of men and 31.2 percent of women
but is this one correct?
in terms of the math
safe radishBOT
@pastel depot Has your question been resolved?
glad dragon
safe radishBOT
glad dragon
Can someone help with the imaginary roots part?
Or the nature of the roots
Number 17
glad dragon
glad dragon
take a better picture, or zoom or something
Does that work?
It asks to determine the nature of the roots
plucky elk
do you know the graph of x^3?
glad dragon
Yes, it has one real zero, 0 multiplicity 3
plucky elk
what about its shape? looks like 17, right?
glad dragon
Right. So no imaginary roots?
plucky elk
Right
glad dragon
So what about an example like this?
How would we know if there are any imaginary roots?
Looks like there are 4 real roots
glad dragon
Some of those are double roots
Yes two of them are double roots
So it would be a power of 6?
But how do we know if it isnt 8, 10, 12, or so on?
And how do we figure out the imaginary?
glad dragon
And you know the degree is even
?
plucky elk
Right. So no imaginary roots?
I was wrong earlier
I'm not so sure now
,w roots x^3+2
flat frigateBOT
plucky elk
Yea 2 imaginary roots it looks like
glad dragon
Yea 2 imaginary roots it looks like
How would we know that based off the picture?
X^3 would have no imaginary roots for example
plucky elk
How would we know that based off the picture?
You know polynomials of deg 3 has 3 roots
Including multiplicities
Since your one real root had multiplicity one, then there must be 3-1 imaginary roots
glad dragon
Since your one real root had multiplicity one, then there must be 3-1 imaginary ...
Ah i see
How would we do 21 though?
plucky elk
You know polynomials of deg 3 has 3 roots
Generalize this to any n
plucky elk
Since your one real root had multiplicity one, then there must be 3-1 imaginary ...
And count your roots with multiplicities
glad dragon
And count your roots with multiplicities
So we have 4 roots
Two of them have multiplicity two
But how do i know if any are imaginary? And if the degree is higher than 6?
safe radishBOT
@glad dragon Has your question been resolved?
rough briar
Is what I circled in blue allowed? Factoring out a 2 and canceling x+1?
robust finch
its ok
rough briar
its ok
thanks 🫡
also, the alternate notation for derivative definition, f(x+h) - f(x)/ h, is f(x) - f(a)/ x-a right? either is fine to use when using derivative definition?
safe radishBOT
@rough briar Has your question been resolved?
safe radishBOT
@rough briar Has your question been resolved?
safe radishBOT
@rough briar Has your question been resolved?
safe radishBOT
@rough briar Has your question been resolved?
sand rose
Sry if this sounds stupid but can someone explain to me how 0.81/0.09 = 9 just doesnt make sense to me
safe radishBOT
Sry if this sounds stupid but can someone explain to me how 0.81/0.09 = 9 just d...
obtuse plover
U can even think of it as division of fractions if you’d like
sand rose
You know thats a really good point in my brain I was trying to divide 81/9 and then make it 2 decimals smaller
obtuse plover
,, 0.81 = 81/100
flat frigateBOT
Stephen
obtuse plover
,, 0.09 = 9/100
flat frigateBOT
Stephen
bold ferry
You know thats a really good point in my brain I was trying to divide 81/9 and t...
that works but you’re basically multiplying 0.81 / 0.09 by 100/100, and then that result of 81/9 is your real answer
oh springsskateboard just said that
sand rose
that works but you’re basically multiplying 0.81 / 0.09 by 100/100, and then tha...
I did that but then reverted it back for some reason XD
lusty widget
rough nexus
pliant warren
It's the answer to your question.
lean otter
It's the answer to your question.
Lmao this sequence of messages is perfect meme material
pliant warren
Lmao this sequence of messages is perfect meme material
XD
lean otter
ok im in scientific notations 7th grade level and im ucrious on how i can discuss that type of matter or anything before that
safe radishBOT
ok im in scientific notations 7th grade level and im ucrious on how i can discus...
@lapis karma Has your question been resolved?
safe radishBOT
safe radishBOT
@wind siren Has your question been resolved?
safe radishBOT
@wind siren Has your question been resolved?
wind siren
<@&286206848099549185>
safe radishBOT
safe radishBOT
Available help channel!
snow vector
safe radishBOT
snow vector
I can do 2a but I need help with 2b
snow vector
?
robust finch
which topic?
snow vector
Diffrentation
robust finch
hmm
you can find the maxima and minima of the function on the value of x for the same
and from there you can get that it is decreasing function by observation
snow vector
i think you have to differentiate it since f'(x)<0 then it is a decreasing function
snow vector
i guess you have to use the answer from part a to differentiate it
safe radishBOT
@snow vector Has your question been resolved?
viscid grail
quick favor, could someone post the symbol for a geometric progression?
viscid grail
pretty please 
the sign that you put before the first term
two dots on top, dash, two dots below
final halo
Can you draw what you mean?
viscid grail
ok
viscid grail
Can you draw what you mean?
scuffed
proud zealot
Sorry, lag to mobile, need pic to copy
final halo
What exactly is it that you want? Like what do you need it for that a picture isn't enough?
proud zealot
Thz
viscid grail
What exactly is it that you want? Like what do you need it for that a picture is...
I need the sign so that I can put it in a .txt file
where I keep notes
viscid grail
Can u not just put ../..
fair enough, I guess I'll remember it, because there's 2 dots - x * y like two dots multiplying each other
final halo
Or you could learn latex and use $\frac{\dot \dot}{\dot \dot}$
flat frigateBOT
ΣAC
final halo
Yikes or not
deep depot
Can someone explain me what is Goldbach's conjecture
safe radishBOT
Can someone explain me what is Goldbach's conjecture
deep depot
it is just to proof Prime + prime = even ?
peak estuary
for every even number n you can find two primes p,q with p+q = n
clearly the sum of two primes is even (unless one of them is 2), that's easy
the question is whether you get every possible even number with this
safe radishBOT
@deep depot Has your question been resolved?
leaden wyvern
safe radishBOT
leaden wyvern
how would i find the exactly value
safe radishBOT
@leaden wyvern Has your question been resolved?
leaden wyvern
<@&286206848099549185>
weary moon
What do u think? @leaden wyvern
leaden wyvern
well i turned it into 1/ sin 11pie/12
then split up the 11 pie /12 in pie/4 and 2pie/3
but im not sure what's next @weary moon
,rotate
flat frigateBOT
safe radishBOT
@leaden wyvern Has your question been resolved?
mighty falcon
safe radishBOT
leaden wyvern
yeah there's so many people in que it's going to take a long time
mighty falcon
ok
lean otter
5 builder will take 3.5hours
2builders will take x hours
mighty falcon
ok
lean otter
cros multiply and multiply the answer with 9.30€
mighty falcon
?
lean otter
cross*
lean otter
8.75 x the euros
mighty falcon
ye that is what i did but on mathswatch it says wrong
it gives me 2/3 marks
ur stupid
.close
wraith yoke
How many zeros are in the number:
1*2*3*…*15 times 16
safe radishBOT
How many zeros are in the number:
1`*`2`*`3`*`…*`15 times 16`
wraith yoke
Ye whatever
How do I solve this fast
Idk what if actorial
factorial
Also no calculator
Is it like amount of 0 - 1
Like 5 times 6 times 13 times 14
Would have two 0
Is that how it works
grizzled fossil
If you are asked to find trailing zeroes
Its counting how many of the factors have 5 as a prime factor in it
wraith yoke
What is factors and prime factor
glass carbon
notice that 2 * 5 = 10
so product of these twos gives you 0
in fact there are more twos than fives, so it's enough to find how many fives will occur in factorisation
In order to do that it's enough to do:
16 | 5
3
grizzled fossil
Well it has more zeroes than trailing zeroes
grizzled fossil
Idk
wraith yoke
There no shortcut?
grizzled fossil
We just told you a shortcut
wraith yoke
Where
grizzled fossil
If its trailing number of zeroes (zeroes at the end)
thin bridge
total zeroes, if that really is what you're asking, not that I'm aware of
wraith yoke
Ye total zeros
grizzled fossil
How many of the factors have 5 as a factor in it
I somehow doubt its total zeros
wraith yoke
how many zeros does 1 times 2 times 3 times so on times 15 times 16
5 is a factor of 5 right
So 5, 10, 15
3 zeros
Right?
grizzled fossil
If you ask what I think you are meaning to ask
wraith yoke
Wow it works
grizzled fossil
But not what you are actually asking
lean otter
theres no shortcut
grizzled fossil
Yes
thin bridge
what's the question exactly as stated
wraith yoke
how many zeros does 1 times 2 times 3 times so on times 15 times 16
Does this work only if it’s consecutive
lean otter
how many zeroes in 16!
thin bridge
it's still not clear whether you want total zeroes or just the trailing zeroes
grizzled fossil
Lol
glass carbon
,w DigitCount[16!, 10, 0]
wraith yoke
How many zeros are there in a number which equals
1 times 2 times 3 times so on times 15 times 16
thin bridge
is that the exact wording of the question
thin bridge
if that really is what the question is asking, I suppose you gotta multiply it all out
,W 16!
flat frigateBOT
wraith yoke
Oh it mean trailing 0
thin bridge
zzz
wraith yoke
Cuz I search up 16 factorial
thin bridge
did we have to asking that 10 times?
wraith yoke
I did not know what 16 factorial was sorry mb
glass carbon
,w DigitCount[16!, 10, 0]
flat frigateBOT
