boreal prawn
right
#help-0
upper yarrow
Anyone know how to do b?
dusk orbit
past thicket
d
stark lantern
please don't give away answers directly
the question also seems to be from an ongoing test. . .
past thicket
oh ok sorry
alpine sable
Why today it rainbow
past thicket
Why today it rainbow
i didnt understand
alpine sable
Ok
sand salmon
quick question how do you calculate the speed of something when you know the time and distance
left mist
Hey there!
I want to show how to create the set of Integers by using the 'inverse of the equation a+x=0' and the natural numbers. Would the union of the set of natural numbers with a set that contains all x where x = -a for each element a in the set of natural numbers satisfy that?
dusk orbit
how to find domain?
vale wigeon
no
until you tell us what f is, we cannot say whether or not it is injective
it may be injective, or it may not be injective, depending on the function
and then all you are told about the function is that its domain is N and its codomain is R^+?
nothing else? no formula? no properties?
no equation?
it need not be injective
not every function from a smaller set to a larger set is injective
you could have the function which sends every natural number to sqrt(2)
that'd be a constant function
nowhere near injective
just because a function CAN be injective doesn't mean it MUST be injective
OH
WHY DIDNT YOU TELL ME
okay
well in this case
yeah, the function f(x) = x^2 is injective when its domain is N
fallen rain
can someone help me with this question pls?
trail ruin
At the point B we can tell that x = 0 right?
oak chasm
No, y = 0.
trail ruin
yes mb
fallen rain
0=4x-8
8=4x
/4 /4
2=x
dry echo
So B is at (2, 0)
oak chasm
@fallen rain Good, now you know x and you know y.
fallen rain
oooo thanks
alpine sable
for (a) can i just sub in the values to the change-of-base formula as a fraction or does it have to be a whole number
cause i tried fraction and it didnt work
rigid smelt
for a, you shouldnt use change of base law
since it wouldnt get you very far
try to use power law instead
and also, change of base works for fractions too
channel might be busy, you should move, also could you take a better shot? its a bit too bright
alpine sable
i dont think ive used the power law before
rigid smelt
its one of the basics one, log(a^b)=b * log(a)
rigid smelt
you can rewrite b/c as (c/b)^(-1)
alpine sable
so just negative recoprical
ocean sealBOT
waler
alpine sable
oh i though it would be negative since there is a -1
alpine sable
alr ty
harsh acorn
Can someone explain this question please? Does the question asks how many possibilities are there
or type of the triangle
wheat wagon
21! 
harsh acorn
like equal side triangle right triangle
wheat wagon
umbral pulsar
Can someone explain this question please? Does the question asks how many possib...
Do you know the length property of sides of triangle
harsh acorn
yes I do know
umbral pulsar
apply that
harsh acorn
|a-b|<c<a+b
umbral pulsar
ye
harsh acorn
I am asking that what question wants
harsh acorn
oh okay then
wheat wagon
21 is not a prime number
Upsi 
cunning thicket
could anybody help with determining length of a trapezoidal prism
alpine sable
a prime number between 17 and 23 maybe
I was gonna call it wrong but then I remembered the answer is 19 and not 21
harsh acorn
Is the answer 6?
alpine sable
how did this get the
dA = (2 - x) dy
??
alpine sable
how did this get the
```dA = (2 - x) dy```
??
<@&286206848099549185>
umbral pulsar
ye
vale wigeon
hint: p^2 + 2p + 1 = (p+1)^2 >= 0 always
plucky crow
i dont understand something about this model
if you integrate the top one and plug 0 and 4 in as the limits the distance travelled is 54.4
if you integrate the bottom
vale wigeon
this channel was occupied
vale wigeon
@sick phoenix didn't confirm that they were satisfied with my answer
plucky crow
ok ill wiat
vale wigeon
maybe they have followup questions to ask me
alpine sable
how did this get the
```dA = (2 - x) dy```
??
someone help please
frozen hare
ok ill wiat
Check the domain: 0 ≤ t ≤ 4 and t > 4
plucky crow
Check the domain: 0 ≤ t ≤ 4 and t > 4
okay integrate the bottom and plug 4.1 in
the t-4 bit will be very small
and 24 x 4 = 96
so it just jumps to 96
how does it go from 54.4 to 96. .... in 0.1 seconds
sick phoenix
<@753933776018604054> didn't confirm that they were satisfied with my answer
Yup i got it!
since (p+1)^2 >= 0, root of equation are real for all values of p
alpine sable
q = ?
alpine sable
then q = 6r + 16
alpine sable
:o
scenic wedge
if not idk
scenic wedge
no prob
glass lichen
Why would you help someone cheat on a quiz...
glass lichen
So?
scenic wedge
now he knows so whats the problem
glass lichen
You get taught before assessments... not on them
alpine sable
but I forgot
btw I'm bad at english tho so sometimes I don't understand what's the main point of the question.
can someone help me with this
fading jay
can someone help me with this
use this
alpine sable
thx
next hatch
i'm stuck with part b
not sure how to start
it's just the proving if they lie on a plane part that im stuck with
other than that i can do the rest
but the first part im stuck on
glass lichen
ok well reading b and c kinda hints at a
next hatch
i've already got a
glass lichen
oh you meant first part of b
fading jay
if three vectors give as a result of the mixed product 0, then they lie on the plane
glass lichen
If you know determinants, then the question just becomes computing a det
glass lichen
${P_1,P_2,P_3,P_4}$ are coplanar if the volume of the parallelpided is 0
ocean sealBOT
Mosh
glass lichen
and the volume is determined using determinants
next hatch
hmm
glass lichen
$det([\vec{P_1P_2}|\vec{P_1P_3}|\vec{P_1P_4}])=0$
ocean sealBOT
Mosh
glass lichen
where the matrix is defined as the 3 column vectors present
glass lichen
yes
glass lichen
just notation I learned for when you write vectors as the columns
next hatch
im confused
so i write a 3x3 matrix with the vectors ^^ and find determinant of said matrix?
glass lichen
you're writing B-A, C-A, D-A, you make those the columns of a matrix and compute the det
alpine sable
why is this not 10*(3x-1)^9?
next hatch
@glass lichen first determinant is 0
next hatch
wolvel pls use another channel
glass lichen
Yeah, so the volume is 0 which means they're coplanar
alpine sable
ok
alpine sable
yeah, whats the signature of f?
next hatch
Yeah, so the volume is 0 which means they're coplanar
so they're on the same plane, and now i can find the area of the parallelogram that they make?
fading jay
it is just a derivative of a complex function
alpine sable
how is (3x-1)^10 = ((3*(3x)-1)^10) where g(x)=3x and f(x)=(3x-1)^10?
fading jay
f(g(x))=(g(x)-1)^10,g(x)=3x
the constant in the sum does not affect the derivative in any way
glass lichen
so they're on the same plane, and now i can find the area of the parallelogram t...
norm of the cross product
alpine sable
f(g(x))=(g(x)-1)^10,g(x)=3x
then it would be 30x*(x-1)^9?
glass lichen
fading jay
then it would be 30x*(x-1)^9?
yes, I seem to have lost the multiplier 30
alpine sable
i dont understand, all other people explained the chanin rule same way you did
can you link me to some place so i can stop bothering you
fading jay
on wikipedia in the rules of differentiation there is
ornate rover
Hey, does someone mind helping me with a quick question. I'm doing a question that asks me to find the times in which the difference between two functions is 10
how would i find that?
its a cos and sin function
alpine sable
on wikipedia in the rules of differentiation there is
doesnt explain why or how you can write 3x-1 as f°g where f=x-1 and g=3x
subtle mantle
Hey, does someone mind helping me with a quick question. I'm doing a question th...
Subtract them, set it equal to ten, solve for x
glass lichen
as phrased that would occur infinitely many times, since the domain of cosine and sine are R
ornate rover
Subtract them, set it equal to ten, solve for x
ive done that but it comes up with a weird answer : 20cos(3pix)+5sqrt3 +5
and i dont know how to convert that into specific points
fading jay
doesnt explain why or how you can write 3x-1 as f°g where f=x-1 and g=3x
3x-1 is not a table function, so it must be considered as a derivative of a complex function
glass lichen
3x-1 is not a table function, so it must be considered as a derivative of a comp...
what?
it's a line.. why would you use chain rule on that?
fading jay
It's hard for me to explain, let someone else
alpine sable
@fading jay thanks for your attention, cool username
glass lichen
how is (3x-1)^10 = ((3*(3x)-1)^10) where g(x)=3x and f(x)=(3x-1)^10?
$f(x)=(3x-1)^{10} \ f(3x)=(3[3x]-1)^{10}$
ocean sealBOT
Mosh
glass lichen
$g(x):=3x \implies f(g(x))=(3[3x]-1)^{10}$
ocean sealBOT
Mosh
alpine sable
why does g(x):=3x?
glass lichen
it's defined in your original question
alpine sable
i dont get it. i didnt ask for 9x-1^10
for some reason, (3x-1)^10 gets rewritten as (3*(3x)-1)^10, why is that?
oak chasm
@alpine sable You replace x with the input.
The input is 3x.
You replace x with the input, which is 3x, so x becomes 3x.
alpine sable
where did you get input or 3x?
$f(x)\mapsto (3x-1)^10\f'\mapsto(\frac{d}{dx}(3x)*\frac{d}{dx}\Big((3x-1)^10\Big))$
ocean sealBOT
Betelguse
alpine sable
glass lichen
ok so just apply chain rule.. inside function is 3x-1, outside is x^(10)
oak chasm
OK, so use the chain rule.
alpine sable
ok so just apply chain rule.. inside function is 3x-1, outside is x^(10)
finally, thanks
that makes perfect sense
alpine sable
why is this not 10*(3x-1)^9?
how is the replied message different to the picture i just sent btw?
oak chasm
Because you multiply that by the derivative of the inside.
ocean sealBOT
Mosh
next hatch
@glass lichen sorry for pinging, but quick question
that determinant thing u posted ^^
is that the area for a parallelepiped?
volume*
glass lichen
yes
next hatch
oh sweet as
alpine sable
11t?
next hatch
yes
alpine sable
121
next hatch
yep
alpine sable
101
alpine sable
thank you
next hatch
no worries
gaunt coyote
its not random
he did very well work with me and befor i start to explain it 2 hours
i just ask him again
its very complicated
glass lichen
"random users" refers to just pinging someone out of the blue with the expectation they will help. I didn't say Ram was random. . .
scenic flame
Is this channel available?
glass lichen
yes
gaunt coyote
i just found the total loss since initial buy is wrong on my sheet
dca 1 is not correct calculated
i hope ramonov is here 😄 he is the excel king 
rain aspen
men
harsh acorn
dreamy forge
like maths questions deosnt make any sence
harsh acorn
To be honest, Idc they do make sense or what I need explanation :p
wild viper
don't undersant
harsh acorn
harsh acorn
You can't know the exact time
There are measurement errors
If you want do it precise, you do need precise time and we do have it
but idk how to solve it
I think channel is occupied isn't it
subtle mantle
d/dt (minute hand angle) = 60 d/dt (hour hand angle) = constant should work
harsh acorn
At 2 o' clock minute hand angle - 0 and hour hand angle- 60 angle
but idk what does d/dt mean
Can you explain it?
subtle mantle
At 2 o' clock minute hand angle - 0 and hour hand angle- 60 angle
Well that’s right atm, and you know the hour hand moves 60 times slower
So just set the two angles to be equal and solve for time
harsh acorn
I thin i get it
dense snow
well let's thing about like sections:
60 sections a clock.
Speed of Minute hand: 1 section / min
Speed of Hour hand: 1/12 section / min
If we start at 2 and try to find a straight line
Well we want to think of relative speed so it need to fill the gap of 12-2 (on the clock) then 30 sections for a straight line
12-2 space is 10, + 30 for straight line
40/relative speed = 40/(1-1/12)
harsh acorn
let me try
dense snow
1 section is the distance a minute hand goes a min
subtle mantle
Uhhh hour hand does not move 1/12th of a clock face per minute
It’s 60 times slower that’s all you need
dense snow
Uhhh hour hand does not move 1/12th of a clock face per minute
sections
everything is in sections
subtle mantle
Define section?
dense snow
a section is the distance a minute hand goes a minute
dense snow
yeah
subtle mantle
Got you
wild viper
at 2:10:54
subtle mantle
Sounds about right
dense snow
but like degree is too hard to think about it
Same thing doe
you have to totally surpass 180+60 degree
0.5 is how many dgrees the hour hand goes a minute)
(180+60)/(6-0.5)
same answer as the other ssolution
harsh acorn
so the answer is $$43\frac{7}{11}$$
ocean sealBOT
Hyl1s
harsh acorn
minute
subtle mantle
Yeah but it’s non dimensional
dense snow
(180+60)/(6-0.5)=40/(1-1/12)
harsh acorn
,w (180+60)/(6-0.5)
harsh acorn
It’s just 60+t/12 = t solve for t
60 and 12 is constant in this formula right?
and I wsadt like $$60 + \frac{2}{12}=3$$?
subtle mantle
Numbers are typically constant yes
dense snow
the answer isn't a constant-
it's a decimal
wild viper
you have for 12 hours 360 degrees so for 1 hour 30 degree . for 5 minutes it's 30 degrees = 6 degree per minute.
similary for the hour hand it has 60 minutes to move through 30degree so it's 0.5°/minute;
Now, At 2o'clock minutes hand will be at exact 12 and hour hand will at exact 2. Therefore gap between them will be equal to 2 division equals to 60°.
Therefore, time required to cover 60°gap = 60/5.5 minutes = 120/11 min = 10+ 10/11 min. i,e equals to 10 min 54.54sec.
subtle mantle
which is a constant
harsh acorn
the answer isn't a constant-
it's a decimal
I was talking about the formula Wew lads gave to me
yea answer is decimal
subtle mantle
decimals are constants what?
it's not dependant on any variable so it's constant
anyway you just gotta think, at t = 0 the hour hand is 60 degrees ahead of the minuite hand cause it's 2 o'clock AND the hour hand travels 12 times slower than the minuite hand
so when the angles are equal we must have that the minuite hand has travelled the same distance as the hour hand
=> 60+t/12 = t as we have that d/dt(hour hand angle) = 1/12 => hour angle = 1/12t + constant, at t=0 hour angle = 60 => constant = 60 and d/dt(minuite angle) = 1 => minuite angle = t+constant and minuite angle at t = 0 is 0 => constant = 0, then equating the angles we get what I already wrote
lone folio
Can anyone help me with this question?
I know sin theta = y/r but I'm not sure how to apply that to a decimal
https://media.discordapp.net/attachments/359052604149465088/849633216482246706/unknown.png
subtle mantle
arcsin both sides is step 1
harsh acorn
well let's thing about like sections:
60 sections a clock.
Speed of Minute hand...
I tried your method and get a different answer than wew lads' formula
I get $$36\frac{2}{3}$$
ocean sealBOT
Hyl1s
harsh acorn
minute
harsh acorn
oh lmao
subtle mantle
problem algebra?
dense snow
@harsh acorn
harsh acorn
,w 40/(1-1/12)
ocean sealBOT
harsh acorn
yea it is same now
subtle mantle
t=t/12+60 => t(1-1/12) = 60 => t = 60/(11/12) = 60*12/11
got no idea where 40s coming from imma be real
harsh acorn
40 is total numbers of section
1 section - 6 degree
we need to go 240 degree for a straight line
subtle mantle
#help-0 message this is how you do I I don't like this rescaling stuff with "sections"
subtle mantle
just look at the inital conditions and the angular velocities of each
or!
proof by googling: they cross at 2:10:54
which is 65.4 degrees roughly
harsh acorn
t=t/12+60 => t(1-1/12) = 60 => t = 60/(11/12) = 60*12/11
I didin't get this
subtle mantle
which is the solution to t=t/12+60
subtle mantle
I moved the t/12 to the other side and factored out the t
harsh acorn
oh difference between minute and hour
subtle mantle
t=t/12+60 => t-t/12 = 60 => t(1-1/12) = 60
dense snow
https://discord.com/channels/268882317391429632/490557019623915520/8496372949812...
yeah XD, we could call it x?
harsh acorn
t=t/12+60 => t-t/12 = 60 => t(1-1/12) = 60
why we wrote 60 there?
don't we need 240?
straight line -180 and we had 60
subtle mantle
the inital condition of the hour hand is 60 degrees ahead of the minuite hand
the hands overlap when the angles are equal that's why you equate the angles
dense snow
@harsh acorn Which grade math is that?
harsh acorn
but question asks for straight line isn't it
harsh acorn
<@!184375401466953728> Which grade math is that?
It is math olympiad question
grade 6-9
maybe 10 too
@subtle mantle question asks for straight line not overlap
dense snow
It is math olympiad question
ahhhhhhhh.
I learn this b4 so just askin 🤣
harsh acorn
what is b4
dense snow
before
subtle mantle
<@!233993116418441216> question asks for straight line not overlap
oh ok
subtle mantle
then you want to equate minuite angle + 180 to hour hand angle
yeah
I mean technically if they overlap they're on the same line but fair enough
harsh acorn
I think they want us that they made 180 degree angle
subtle mantle
so you have t+180 = t/12+60 I'm pretty sure
dense snow
harsh acorn
so you have t+180 = t/12+60 I'm pretty sure
left side t+180 means position of minute hand right?
subtle mantle
it's position of the minuite hand+180 degrees
harsh acorn
,w t+180 = t/12+60
ocean sealBOT
harsh acorn
why I get negative?
harsh acorn
anyway answer is absolute answer of this I think
subtle mantle
lemme see
subtle mantle
they're kinda analogous to anything to do with velocity and displacement
dense snow
^^
subtle mantle
except in Z/Z360 cause wacky clock face moment
near pendant
i have question about creating some algorithm
its quite hard to explain so i drew some basic image for explaintation
there are two circles that both have radius size of 1 there are also two variables, distance between them and fov of one circle looking at other one
i wanted to make algorithm that i could use for calculating chances of one circle hitting another with pre defined fov and range between them
subtle mantle
what's the distrubution of the angle and distance?
near pendant
i mean i can use any value here
i wanted to make formula which i can use for calculating that
subtle mantle
no I mean like, is it uniform? normal?
near pendant
angle can be any 0-360
hollow meadow
what is one plus one
near pendant
probably less than 1000
subtle mantle
what is one plus one
depends, in a ring of characteristic 2 it's zero
oh ok
lemme draw something cause I like this problem
hollow meadow
aight bro
subtle mantle
so you wanna find the probability of x > 1/2 given a random angle theta and a random distance d?
near pendant
hmm
i put in random distance and random angle
and then count probability of it hitting circle
near pendant
so you wanna find the probability of x > 1/2 given a random angle theta and a ra...
and no fov cant be like that
middle is always on circle
subtle mantle
yeah I know I just cut it in half to make the next bit clearer
near pendant
low fov can make chances go to 100% cause of circle size
subtle mantle
you know that tan(theta/2) = opposite/adjacent = x/d => x = d*tan(theta/2) so you just need to find the odds that dtan(theta/2) >1/2
subtle mantle
it's basic trig
what I'm confused is that if the circle is in the FOV then the other circle can always see it
are you kinda asking like, what % of the FOV is taken up by the circle?
near pendant
i think thats same thing but in reverse
but yes that still works
percentage of hitting circle
subtle mantle
got it right
then you'd need the proportion r/x where r is the radius of the circle - which is 1 as you said
and we know that x = d*tan(theta/2)
so the probability of hitting the circle is 1/d*tan(theta/2)
near pendant
is that the solution already
subtle mantle
we need to look at x as an arc length instead
so the arc length is d*(theta/2), so just take out the tan from the formula and it'll be correct
pale terrace
is this channel in use
subtle mantle
nope I don't think so
pale terrace
A carpenter is building an open box with a square base for holding firewood. The box must
have a surface area of 8 m2. What dimensions will yield the maximum volume? What is the maximum volume?
this is an optimization question for calculus, does anyone know a good way to start this?
jagged trout
make a function which give you squares
pale terrace
I don't understand
jagged trout
What a square must have?
unkempt stream
what's teh m2?
oh
sa=6a^2
8=6a^2
sqrt4/3
is one side
then do volume =max
find the derivative of volume and equal it to 0 and see if the left is positive and the right is negative
@pale terrace
lone folio
Can anyone help me with proving these? I'm not sure what identities to use here
unkempt stream
tanx=sinx/cosx
celest zinc
b) $\cos^2 x = 1 - \sin^2 x$
ocean sealBOT
Fede Bosio
pale terrace
find the derivative of volume and equal it to 0 and see if the left is positive ...
where did you get sa = 6a^2 from
pale terrace
what about the six part
unkempt stream
a^2=area of a square
strange raft
can anyone tell me how do i integrate sin3πtdt with limits 0 to t
unkempt stream
and it has six sides
misty path
3.14159
unkempt stream
can anyone tell me how do i integrate sin3πtdt with limits 0 to t
can you write that out for me?
pale terrace
and it has six sides
oh my bad I forgot that thank you 😆
unkempt stream
np
celest zinc
[ \int_0^t \sin (3\pi t) , dt ]
alpine sable
I need assistance with my homework
ocean sealBOT
Fede Bosio
strange raft
**Fede Bosio**
exactly
gusty oriole
whats the answer
alpine sable
If anyone is able to assist please tell me so
unkempt stream
exactly
use u sub
multiply the outside by 1/3pi
and the inside by 3pi
then use u sub
strange raft
sub?
unkempt stream
u substitution
celest zinc
Call $u = 3\pi t$
ocean sealBOT
Fede Bosio
wet fulcrum
unkempt stream
np
long shard
Does anyone know how i could prove a quadratic equation congruent to 0 mod p (p prime) without actually finding the solutions?
eg x^2 -3x+2 = 0 mod 373
celest zinc
Sorry, what do you mean by "prove" the equation?
Prove that it has at least one solution?
long shard
i have a question that says i have to determine if the quadratic equation x^2-3x +2 = 0 mod 373 has any solutions without explicitly finding them
jagged trout
???
celest zinc
yeah, kinda weird, right?
long shard
thats all i have to go on
ocean sealBOT
Mosh
jagged trout
yeah but the n is not needed because we have Z373
glass lichen
it doesn't say in Z373
jagged trout
x^2-3x +2 = 0 mod 373
jagged trout
yes
near pendant
there are two circles that both have radius size of 1 there are also two variabl...
can i have example related to that with 8 fov and 25 distance?
just have no idea how to write it down
unkempt stream
The question is pretty straight forward. I forgot geometry but there are theorems based on parallel lines.
and certain shapes have a certain amount of degree when all the angles are added up.
unkempt stream
unkempt stream
so how do I find out what the angles add up to?
search it up lol
like a triangle = 180 degrees
celest zinc
i have a question that says i have to determine if the quadratic equation x^2-3x...
I think you should use the Law of Quadratic Reciprocity
you first calculate the discriminant of the quadratic polynomial, and then apply the law to the discriminant to find if it's a square modulo 373
jagged trout
for the left top I would try something like:
(360 - 2 * 76) / 2 to get one angle
novel nacelle
Hey, i need help. My math teacher assigned us hw that she never taught us.
A ramp in the shape of a triangular prism has a volume of 58.24 ft3. The base of the ramp has a length of 5.2 feet and a width of 6.4 feet as shown in the diagram. What is the height of the ramp?
Thanks
long shard
I think you should use the Law of Quadratic Reciprocity
didnt know about this, thanks ill try it now!
safe cargo
can someone jsut help me come up with a f(x) equation for a Ferris wheel
celest zinc
didnt know about this, thanks ill try it now!
Me neither 😆
next bluff
channel free?
alpine sable
Hey, i need help. My math teacher assigned us hw that she never taught us.
Here I have an idea, u can extrapolate the figure and form a cuboid and volume will be twice
tall sage
this is correct right?
glass lichen
this is correct right?
should be 0=2-4cos(t)
tall sage
should be 0=2-4cos(t)
the value?
tight bronze
what is this?
unkempt stream
what is this?
cube
it's saying the l w and h
are the same
since all = x
and a cube has l w and h are the same
alpine sable
Answer
unkempt stream
create a proportion
novel nacelle
Here I have an idea, u can extrapolate the figure and form a cuboid and volume w...
nvm
i finished the wheol test
bye
alpine sable
Should I do ft/in or in/ft
unkempt stream
any way is fine
mighty zenith
unkempt stream
make sure the other side is the same
mighty zenith
unkempt stream
multiply the 3 by 1/2
alpine sable
ok
unkempt stream
actually
type it into a calculator
if it allows
@mighty zenith
I can run you through the process on how to do it
you there?
unkempt stream
np
alpine sable
is this channel open?
unkempt stream
yes
alpine sable
thx.
How do you write the equation of a polynomial with linear roots at x = 3, x=0, x=-1, and a quadratic root at x=2. With the polynomial also going through the point (1,-5)?
guys help i actually dont know what to do..
woeful dirge
guys help i actually dont know what to do..
list out the factors of 36 in pairs
and see which pair adds to 13
alpine sable
its a diamond problem so you are trying to see which two number mulitply at the top and add at the bottom
oh
ok
TY
9 and 4?
yeah i think so
alpine sable
How do you write the equation of a polynomial with linear roots at x = 3, x=0, x...
help? -- How do you write the equation of a polynomial with linear roots at x = 3, x=0, x=-1, and a quadratic root at x=2. With the polynomial also going through the point (1,-5)?
wary stream
9 and 4?
It is recommended to not give answers. If someone needs assistance, teach/explain the concept instead of giving answers
alpine sable
It is recommended to not give answers. If someone needs assistance, teach/explai...
sorry my bad
long shard
are you allowed to say since 564 = -7 mod 571 then x^2-7x+12= 0 mod 571 is equivalent to x^2+564x+12=0 mod 571??
hollow helm
could someone help me on my homework
jagged trout
6 * 6
frigid stream
No !
The smallest possible sum is 3 and the biggest one is 12. How can you have 36 sum possibilities?
jagged trout
the smallest ist 2
frigid stream
Stop trolling
long shard
it says how many different sums, same value answers r possible
and even then it would be 5 *6 not 6 *6
frigid stream
No !!!!!
frigid stream
The smallest possible sum is 3 and the biggest one is 12. How can you have 36 su...
@hollow helm Hint^
humble merlin
I have a question about my choice of te course that i will choose next year in my first year of university. Like i've mentionned before I like math and physics, but can't choose. So therefore there exists a "twin bachelorc" in my country to do both. But i am wondering if it isn't too much to do both, is there anyone that has experience with both courses?
formal solar
humble merlin
Is this the whole proof?
long shard
I have a question about my choice of te course that i will choose next year in m...
as someone who has mates who do maths and physics its definitely much more work than just doing either straight but at my uni you wouldnt go as into depth into physics compared to maths e.g: no labs and stuff
crisp grail
so basically you want to prove that whatever value epsilon>0 you add there is an element in ur A that is smaller than 0+epsilon, wich means that 0 is the biggest lower bound (or how you call it idk)
so you have to find an n where 1/n < epsilon and if you rearrange stuff you find that any n> 1/epsilon is a valid solution, wich is what you had to proof
@formal solar
because the fact that 0 is a lower bound is easy to see
you just are proving here that there is no bigger lower bound
by finding a value that is smaller than any number that is a bigger by a random amount than 0
crisp grail
basically what he does in short that any number bigger than 0 can't be a lower bound
mystic sinew
would this just be the sum of x^(2n+1)
please don't solve it just answer the question
clever locust
Do tou want to know if it converges/diverges, or do you want to know the value of it?
crisp grail
I think the answer is no, not sure tho
manic glade
is this correct?
lapis harness
why wouldn't it be
manic glade
guess so
mystic sinew
would it be an infinite sum?
it's asking us to evaluate when x is less than 1 though
crisp grail
its an infinite sum but you can't just throw away a factor of it
or I'm not getting what you mean
clever locust
would it be an infinite sum?
Yes
crisp grail
so?
mystic sinew
wait x isn't the thing that's getting iterated upon
old wind
Determine the locus of points P such that PA² + 3PB² = k², with k constant.
Some one can help me?
ocean sealBOT
old wind
you try graphing some of these?
try putting it in numbers
old wind
How can we proof it?
remote heron
idk its been like ten thousand years since ive done something like this
if you have specific notes from your class id follow those
maybe use standard form
old wind
that is a question from a brazilian book. It was not from my class
celest zinc
[
\begin{split}
P &= (x, y)
\
A &= \left(a_0, a_1\right)
\
B &= \left(b_0, b_1\right)
\end{split}
\implies
\begin{split}
PA^2 &= {\left(x-a_0\right)}^2 + {\left(y-a_1\right)}^2
\
PB^2 &= {\left(x-b_0\right)}^2 + {\left(y-b_1\right)}^2
\end{split}
]
ocean sealBOT
Fede Bosio
lapis harness
draw all with accuracy to isomorphism 3 vertex connected graphs with 5 edges that have at least 2 singular loops and no multiple loops
would appreciate all the help 😄
mossy ermine
what does this mean haha
alpine sable
bigger than or equals to
alpine sable
I forgot all about probability functions so I fear giving misinformation
celest zinc
Solve the inequality for X (uppercase) and calculate the obtained probability by using the given probability mass function
celest zinc
Exactly
celest zinc
no problem 😄
split wraith
hey can i have help
fathom matrix
hey can i have help
taken
glad matrix
the sum of two terms of an infinite geometric sequence is 12 and each term is equal totwice the sum of all the term following it. Find the first term,commonratio and geometic sequence
plz it is so urgent
dusty finch
I believe the absolute min is x=2 or 5. I am not sure what to write as an explanation.
celest zinc
**Fede Bosio**
\begin{align*}
{PA}^2+3{PB}^2 &= k^2
\
{\left(x-a_0\right)}^2 + {\left(y-a_1\right)}^2+3\left({\left(x-b_0\right)}^2 + {\left(y-b_1\right)}^2\right) &= k^2
\
{\left(x-a_0\right)}^2 + {\left(y-a_1\right)}^2+3 {\left(x-b_0\right)}^2 + 3 {\left(y-b_1\right)}^2 &= k^2
\
\left( {\left(x-a_0\right)}^2 + 3 {\left(x-b_0\right)}^2 \right) + \left( {\left(y-a_1\right)}^2 + 3 {\left(y-b_1\right)}^2 \right) &= k^2
\end{align*}
ocean sealBOT
Fede Bosio
celest zinc
then expand, factor, complete the square, etc.
fringe lantern
gaunt sparrow
this is more of a physics question
pine lake
i have a question
strong furnace
pine lake
they r asking to find the determinant
i tried collecting a,b and c
then use b^2 -4ac
but in the end ans has t and p
very confusing
pls help
gaunt sparrow
what did u take as a, b and c?
gaunt sparrow
👍
scenic oak
hi i have a question pertaining to symmetric equations in R^3
slim epoch
ask
scenic oak
what does vector representation mean?
slim epoch
thats the thing that respresents the magnitude by the line segments
scenic oak
im not sure of my idea but i thinking its like, if one vector is a multiple of another vector, then are those two vectors essentially representations of one vector?
slim epoch
yup
scenic oak
thanks!
slim epoch
np
scenic oak
Can someone help me with the 6 please
they are supplementary angles and are essentially equal to the angles opposite to them
visual imp
Ohh thanks
untold warren
need some guidance on how I should approach this q
it says that to compute the integral I might need to use the trigonometric substitution x+a = sin theta but not exactly sure how that would be incorporated
winter rampart
someone able to help me with this
gaunt sparrow
someone able to help me with this
5x + 15x = 180degress because angle of a straight line is 180degrees.
20x = 180
then u can find x
winter rampart
I dont understand it thats the issue
gaunt sparrow
understand what exactly?
gaunt sparrow
need some guidance on how I should approach this q
is this a calculus question? cause then i can't help you sorry
gaunt sparrow
like how to find the answer
i see
untold warren
def calc related yeah
gaunt sparrow
like how to find the answer
do you know the angle of a straight line?
gaunt sparrow
ok.....
winter rampart
5x + 15x = 180degress because angle of a straight line is 180degrees.
20x = 180
is that just the answer?
or is there more that I have to solve
gaunt sparrow
well, you have to find the value of x
and...it's gonna be pretty hard if you don't know basic geometry
winter rampart
would you be able to help me find x?
gaunt sparrow
sure, but i'd prefer u understand how i got the answer
so you don't need to keep asking for help
winter rampart
I mean yea I want to learn it as well but I dont got much time I have 10 mins until its due
winter rampart
yes please
like I said I would like to learn it but I need to submit it
is that all I would put?
gaunt sparrow
yea pretty much. It's more than enough
sage prawn
Mb dont do what i said
winter rampart
I mean wouldn'tit be 180-83-26
gaunt sparrow
nope
look at the 26 part
the 26 is not inside the triangle.
so you can't directly put that value
there's a right angle there, that means : 26 + something = 90
which means something = 64
gaunt sparrow
I mean wouldn'tit be 180-83-26
and that 'something' is what's inside the triangle and what's supposed to go here instead of 26
opaque pelican
X=147
gaunt sparrow
wait...........i just realised something....
winter rampart
there's a right angle there, that means : 26 + something = 90
which means someth...
180-x=64?
gaunt sparrow
why......are you subtracting from 180 in the first place tho?
winter rampart
because isnt the triangle 180
opaque pelican
X=180-(180-64-83)
winter rampart
X=180-(180-64-83)
that correct?
opaque pelican
👍
winter rampart
X=180-(180-64-83)
180-64-83=33
@gaunt sparrow you able to help me and teach me in like 5 mins
bold bane
x+4<−7
winter rampart
its due in 3 mins
gaunt sparrow
well how about this, I can give you the answer and you can submit and then after submitting, understand with all the time u got
is that cool with you?
gaunt sparrow
yea.
lost steeple
https://gyazo.com/0604accbb7694a2cd4458d651a1db424
Could someone explain this
Is it because (-1) is the exponent
gaunt sparrow
sorry, i don't know logarithms properly yet
solar stratus
Is it because (-1) is the exponent
yeah log(x⁴) = 4log(x) for example, here this is the same with (-1)
glass lichen
$-\log(x+2) \ =\log((x+2)^{-1})$
winter rampart
want to dm drag so you can teach me?
ocean sealBOT
Mosh
gaunt sparrow
want to dm drag so you can teach me?
sure
fierce shale
hii has anyone taken algebra II/trig here?
solar stratus
hey, what is your question ?
fierce shale
actually, i have a few questions is that okay?
solar stratus
i will do my best
fierce shale
it’s for a homework assignment, but i’m not really getting what my teacher is teaching D:
THANK YOU SMM!!!
clever locust
alpine sable
solar stratus
ok, there are a few formula to know:
cosinus of the angle = adjacent over hypotenuse
sinus of an angle = opposite over hypotenuse
and finaly tangent of an angle = opposite over adjacent
fierce shale
yeah, my teacher made us memorize those lol
solar stratus
so for example
clever locust
it’s on law of sin and cosine
I think you should start by writing down the law of sin and the law of cosine if that is what you're going to use
solar stratus
first thing you know that b is the hypotenuse
fierce shale
a/sinA = b/sinb = c/sinc
solar stratus
if A is the angle between a and b, then cos(A) = c/b
clever locust
if A is the angle between a and b, then cos(A) = c/b
This only applies for right traingles
solar stratus
ow sorry i though this was one
clever locust
Maybe that's what it is though, idk
Doesn't say it is though
Especially since all angles are to be calculated
fierce shale
i’m so confused T^T
solar stratus
So in that case we can use the Alkashi Theorem
clever locust
It's not a right triangle (I checked with the pythagorean theorem lol), so don't use what Aurélian said
solar stratus
huge sorry
clever locust
So in that case we can use the Alkashi Theorem
Did you miss the part where they said they were to use the law of sine and the law of cosine?
fierce shale
ah it’s okayyy
clever locust
Ask somewhere that's not busy.
opaque saddle
ok
solar stratus
Did you miss the part where they said they were to use the law of sine and the l...
where ?
clever locust
it’s on law of sin and cosine
Here
clever locust
Either way, that should be cleared up now, so I'll leave it to you to explain
solar stratus
okay
So, For any triangles, you can applied a "generalised Pythagorean Theorem", It is very near to the original one.
Let's denote a, b, c the three length of a triangle with b the hypotenuse
The formula is: b² = a² +c² -2ac cos(B) with B the angle between a and c
From here, you can deduce cos(B) given a, b and c
cos(B) = (b²-a²-c²)/(-2ac)
So B = Arccos((b²-a²-c²)/(-2ac))
For the angle A and C you can use the previous formula by switching a, b and c:
a² = b² + c² − 2bc cos(A)
c² = a² + b² − 2ab cos(C)
chrome plinth
This is a regression line calculator result
Which number is a, and which number is b?
solar stratus
you get results in radian if the calculator you are using was configure to
you can switch back to degree, by multiplying the result in radian by 180/pi
fierce shale
my calculator is set in degrees
half totem
I am needing help with determining the equation for trig graphing. Kind of lost in this unit and not sure what info to pull from this. Any help would be great as I got multiple questions like this.
solar stratus
my calculator is set in degrees
so you get result in degree, what is the issue ?
clever locust
This is a regression line calculator result
Which number is a, and which number ...
Does this channel look free?
clever locust
I am needing help with determining the equation for trig graphing. Kind of lost ...
Same question to you.
fierce shale
so you get result in degree, what is the issue ?
because the angle measure seems too small for the triangle...
solar stratus
let me know what you got
clever locust
Whatr
There are channels you can ask for help in where you don't completely interrupt someone else's discussion.
fierce shale
i got 0.47
alpine sable
Can anybody help me with this trigonometry?
half totem
There are channels you can ask for help in where you don't completely interrupt ...
What channel is open
clever locust
What channel is open
Look in the channels yourself and see. Discord shows timestamps, use that.
solar stratus
i got 0.47
this is the right value but in radian
clever locust
Can anybody help me with this trigonometry?
You really should look in the chat before you send. I literally just told two other people that this channel is busy.
alpine sable
Damn my bad
fierce shale
this is the right value but in radian
so, would the answer be 27?
solar stratus
this is the right value but in radian
so even if you set your calculator in degree, the arccos function seems to send result in radian
yes !
fierce shale
ah thank you!!
solar stratus
you should find A = 27°, B = 122° and C = 31°
fierce shale
yes, that’s what i got for the rest!
solar stratus
nice
chrome plinth
Does this channel look free?
It did
fierce shale
nice
i have a couple more questions that are similar to the previous one is that okay?
clever locust
No. A channel is not free because someone is taking 3 minutes to think and digest information.
solar stratus
i have a couple more questions that are similar to the previous one is that okay...
yeah
fierce shale
thank you! you’re the best
lost oriole
did my friend do this correctly?
solar stratus
ok, for this one you can easily deduce the B angle since the sum of A, B and C is always equals to 180°
fierce shale
ah righttt
solar stratus
next, you can combine two form of the previous formula to get a length given an other and you 2 angle
or more simple use the sine Rule
solar stratus
a/sinA = b/sinb = c/sinc
this thing
thorn ibex
can someone check if i am right
solar stratus
yes you're right
solar stratus
um i just realized that this assignment has a time limit 💀
ow ok, anyway
fierce shale
ow ok, anyway
ow indeed 🤪
solar stratus
for this one you can use the sine rule to find the angle C, and then deduce the Angle B, and finally deduce the last length using the cosine formula
solar stratus
exactly the same here
fierce shale
wait i’m a bit confused
thorn ibex
can someone check if i am right, i am unsure about my math homework
solar stratus
can someone check if i am right, i am unsure about my math homework
yes, again
fierce shale
i plugged the numbers into the formula, but my teacher didn’t explain that well afterward
ahh i have 30 mins left omg
yes?
solar stratus
you can use the sine rule: a/sin(A) = c/sin(C) <=> sin(C) = (c/a) sin(A)
for this one:
fierce shale
...
thank you but i am just going to accept my F KSGSKSH
thank you for your help!
solar stratus
alright, you're welcome
thorn ibex
can someone check
clever locust
Is it for a test?
solar stratus
can someone check
you're right
knotty oxide
Does anyone know how I would solve this?
gray isle
apply properties of a right triangle
cyan nymph
thorn ibex
can someone help we with this homework question
alpine sable
STOP RIGHT THERE
next time don't give them solution
i mean don't do this again right after this
otherwise i'll ban you for good
split wraith
is this taken
alpine sable
stardust already toook this place
split wraith
k
rough lantern
whats the equation to find the sum from a sigma notation? is it just Sn = n/2(a1+an) like regular finite arithmetic series?
vague coral
huh ?
