@wary stream guess what
#help-0
plain vortex
median oar
Is $\lim_{x\to c} f(x)g(x) = \text{DNE}\$ if $\lim_{x\to c} f(x)$ diverges?
ocean sealBOT
Frosst
vale wigeon
you mean, if lim f(x) is known not to exist, does lim f(x)g(x) also not exist?
@median oar
median oar
Yeah
median oar
Hmm true
sharp sail
lim x-> 0 (1/x) DNE
lim x-> 0 (x) = 0
and lim x->0 x/x = 1
vestal shell
lone heartBOT
vestal shell
Can someone help here , i can't find my mistake
ocean sealBOT
vestal shell
Why completing the square dosen`t work , but quadratic formula works
ancient lantern
x = {1,2,3} ;A = {1,{1,2},{{1,2,3}}}
is X subset of A?
can u answere this guys?
and what are the power set?
vestal shell
ok i forget the 1/2 , but the next step is right ? Or not ? cos^2(x) + cos(x)/2 + 1/4 = (cos(x) + 1/2)^2?
Sorry english is not my main languague
ocean sealBOT
Toby
alpine sable
you would need (cos(x)+1/4)^2
lone heartBOT
@vestal shell Has your question been resolved?
chrome salmon
,rotate
ocean sealBOT
thick lynx
If we have an impulse of two things, does the conservation of energy still hold?
whole shell
that has always wierded me out aswell
wind cloak
Mechanical energy is always conserved as long as the only forces acting on the system are conservative
coarse vale
Can we ask physics questions in here too?
lone heartBOT
@thick lynx Has your question been resolved?
thick lynx
Mechanical energy is always conserved as long as the only forces acting on the s...
Thank you. So does that mean that if we have an impulse, the energy before the impulse is the same as the energy after it, if the system is closed?
wind cloak
Provided the above condition is met, then yes
Impulse is just the change in momentum anyways
wind cloak
Can we ask physics questions in here too?
People have asked physics questions in the past and the moderation hasn't done anything in the past
thick lynx
Can we ask physics questions in here too?
I thought this is more theoretical/mathematical physics so it's fine
thick lynx
Provided the above condition is met, then yes
So if we have something like this
Tarzan wants to save someone from a crocodile
his energy at first is m * g * h
coarse vale
ig I don't have to try find a similar server for physics then ._.
thick lynx
And we can calculate the height he will reach with the person by setting m * g * h = (m + m_otherPerson) * g * h_2, right?
thick lynx
Solving or h_2
wind cloak
m1gh1 + 1/2m1v^2 = (m1 + m2)gh2
thick lynx
m1gh1 + 1/2m1v^2 = (m1 + m2)gh2
He starts with 0 speed
wind cloak
Yeah then I guess it makes sense
thick lynx
Yeah then I guess it makes sense
I did that, and I got a different result than when I set m * g * h equal to the speed he will be going with when he reached the person, used the momentum conservation theorem and then the conservation of energy again.
And it seems that the latter is the correct way, setting m_Tarzan * g * h_1 = (m_Tarzan + m_Person) * g * h_2 seems to give a wrong result for h_2
So from that, I would conclude that the conservation of energy doesn't hold here the whole time
Just until before the impulse
wind cloak
Are you sure there are only conservative forces on the system?
thick lynx
Are you sure there are only conservative forces on the system?
Well, nothing gets transformed into heat or something here (atleast not in theory), right?
wind cloak
Maybe friction when Tarzan saves the person from the alligators or whatever
That's all I can think of
thick lynx
Maybe friction when Tarzan saves the person from the alligators or whatever
Well, when using the mometum conservation theorem, that friction gets ignored aswell, I guess
Yet that gives a different answer
wind cloak
Friction doesn't affect momentum
As long as net force is 0, you can conserve momentum
last ether
All the points must lie on a certain line
What's the function that represents this line?
lone heartBOT
@alpine sable Has your question been resolved?
foggy brook
A biquadratic polynomial f(x) has zeroes-2, 3, 5 and 7. If f(0)=1, then the remainder when f(x) is divided by (x-1) is
quick peak
Did you figure out what f(x) is
foggy brook
that is a way to write the f(x) with help of given zeroes and then to solve it
but I want to know any alternate way
alpine sable
How
quasi vector
from the first bit of info, f(x) = k(x+2)(x-3)(x-5)(x-7)
alpine sable
(x+2)(x-3)(x-5)(x-7)
quasi vector
from the second bit you can find out k
for the last part u can use remainder theorem
foggy brook
and how much time would it take to do it?
quasi vector
not much
tough thistle
lone heartBOT
tough thistle
how do i find the algebraic formula for every nr
alpine sable
so the H_n = 2 + 2*n
what class sum would that be?
and you do that for every body part and sum them up
alpine sable
but the rest are hard for me
for example for the head consider, h_{n+1} - h_{n}
tough thistle
for example for the head consider, h_{n+1} - h_{n}
what the fuck is H
tough thistle
ok
alpine sable
7, 19, 37
it increases by 12, then by 18
if you consider the next one the increase will increase by 6
so [ h_{n+1} - h_{n} = 12 + (n-1) * 6 ]
ocean sealBOT
Jester
alpine sable
there might be an easier way like just guessing the n-th term
lone heartBOT
@tough thistle Has your question been resolved?
tough thistle
so \[ h_{n+1} - h_{n} = 12 + (n-1) * 6 \]
wtfffffffffffffffffffffffff
im nevver getting that
im just gonna take a C- gg
lone heartBOT
@tough thistle Has your question been resolved?
alpine sable
need help
quiet vector
lone heartBOT
need help
Please read #❓how-to-get-help
lethal dock
lone heartBOT
vale wigeon
are there?
lethal dock
bc like 3,13,23,...
alpine sable
What about 31 ,32 ,33 ,34 ....
vale wigeon
3, 13, 23, 30, 31, 32, 33, ..., 39, 43, ...
and then there is the entirety of the 300-399 range as well
lethal dock
What about 31 ,32 ,33 ,34 ....
well those are there too
vale wigeon
there are more than 10 fitting cards within each hundred
lethal dock
so then there are 19 threes in each hundred
vale wigeon
not in each
vale wigeon
yes, that gets us the number of cards containing a three
alpine sable
hi
copper delta
when you say log is that log10
alpine sable
yh
You remember valuw of log 5?
no
You can't do it in head
:;()
so the answer is 8.4?
lone heartBOT
@alpine sable Has your question been resolved?
proven timber
alpine sable
😭
lone heartBOT
@alpine sable Has your question been resolved?
gloomy raven
Can anyone help me please
My work is on hegarty maths theres two questions
I know how to do them its just the writing them out bit
@lone heart
lone heartBOT
@alpine sable Has your question been resolved?
wary stream
but iw anna do it out of my head
And no there is no easy way to do 5log(50) mentally as it results in messy decimal values
carmine reef
You could try to approximate it
5log(50) = 5+5log(5), so approximate log(5)
5^8 = 340625 ≈ 10^5.5 so log(5)≈5.5/8 = .6875
5+5log(5) ≈ 5+3.4375 ≈ 8.4375
,w 5log_10(50)
ocean sealBOT
ocean sealBOT
carmine reef
5log(50) = log(312500000) ≈ 8.5 ig lol
wary stream
You could try to approximate it
My method was $5\left(\frac{\log_5(25)+ \log_5(2)}{\log_5(5)+ \log_5(2)}\right) = 5 \left(\frac{2 + \log_5(2)}{1 + \log_5(2)}\right)$ but that gets messy too
ocean sealBOT
dldh06
carmine reef
ah I see
carmine reef
5log(50) = log(312500000) ≈ 8.5 ig lol
This is definitely the way to go if you know the right small powers
5log(50) = 8+log(3.125)
that 8+ is so much better than the 5+
wary stream
Mine isn't too bad of a method
carmine reef
5log(50) = log(312500000) ≈ 8.5 ig lol
no doing better than this
lone heartBOT
@alpine sable Has your question been resolved?
trail yacht
I have to calculate the volume of a solid limited by:
lone heartBOT
I have to calculate the volume of a solid limited by:
trail yacht
I did it by setting triple integrating and setting the parameters of the figure as I imagined
is that correct?
placid zinc
Can't say for sure if you are without the work
But it can certainly be done as a triple integral
However, I suggest doing it as a double integral, which seems easier to me
No matter what, a picture of everything going on will be important
trail yacht
for example: in the z axis the figure varies from 0 to the point where x^2+2*y^2=2 meets x+y+2z=2
trail yacht
However, I suggest doing it as a double integral, which seems easier to me
by using cilindrical coordinates?
my questions is: is it possible to calculate the volume without a sketch of the whole figure? and the triple integral will be something like ///1dzdxdy?
lone heartBOT
@trail yacht Has your question been resolved?
placid zinc
Possible? Yeah. I would never try it though, haha
Triple integral would be something like that, yeah
lone heartBOT
@quiet sandal Has your question been resolved?
surreal meadow
we cant see the questions from that
can you send a picture of them
also i suggest you delete that link, people could input anything they want for your teacher to see
quiet sandal
sure
quiet sandal
also i suggest you delete that link, people could input anything they want for y...
its not a teacher thing
it was from a math comp
and its practive
but alr
surreal meadow
still, people can write in anything
lone heartBOT
quiet sandal
surreal meadow
.reopen
lone heartBOT
Available help channel!
surreal meadow
this is a very wide range of questions
lone heartBOT
this is a very wide range of questions
surreal meadow
you have basic algebra, geometry, probability
quiet sandal
uh
vapid shuttle
you have basic algebra, geometry, probability
This looks like a test.
quiet sandal
This looks like a test.
it was for a old math competition
I wanted to study for the next one
surreal meadow
This looks like a test.
it said sample test on the link they posted
vapid shuttle
nvm then!
quiet sandal
they dont look at responses
it dosn't matter
but I gtg sleep now, if you can tell me some resources that I can use in dms that would be appreciated
otherwise its fine
quiet sandal
It's odd because it does say "**sample**" test, but it also has this
its supposed to be liek the real one
idk
why
surreal meadow
but I gtg sleep now, if you can tell me some resources that I can use in dms tha...
i listed some of the topics. your best bet is to just look it up, or ask your teachers for help
surreal meadow
.close
lone heartBOT
surreal meadow
forgot i opened this lol
remote heron
rare maximo question
vapid shuttle
maximo buddy you are supposed to put questions in the help-channel once you open it
read #❓how-to-get-help
lone heartBOT
Available help channel!
uncut epoch
lone heartBOT
uncut epoch
I don’t understand why it should be (7sin(pi*x))/(pi)
tacit arch
The solution's notation is wrong
They found the antiderivative already but left the integral sign
,w int 7cos(pi x) dx
ocean sealBOT
median oar
<@&268886789983436800>
sharp thorn
<@&268886789983436800>
vapid shuttle
Don't click on that link
sharp thorn
i didnt hehe
cold zenith
y'' - 8y' + 16y = -2e^4x
lone heartBOT
y'' - 8y' + 16y = -2e^4x
cold zenith
im struggling to find a general solution
surreal meadow
!status
lone heartBOT
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
!show
lone heartBOT
Show your work, and if possible, explain where you are stuck.
chrome salmon
Too much rough
cold zenith
theres two parts to a general solution right
chrome salmon
Don't use -2e^(4x) on right
surreal meadow
you need an extra power of x for your guessed solution
cold zenith
Don't use -2e^(4x) on right
-2e^4x is just part of the equation?
surreal meadow
by x^2
surreal meadow
your guessed solution should be (Ax^3 + Bx^2)e^(4x)
cold zenith
what does that do tho
chrome salmon
Yeah this
cold zenith
why do i multiply thru by x^2?
surreal meadow
because 4 is a double root of the auxiliary equation, which shows up as e^4x in the right hand side
review the method of undetermined coefficients
cold zenith
i just thought a double root meant the guessed solution will take the form (Ax + b)e^mx
lone heartBOT
@cold zenith Has your question been resolved?
lone heartBOT
cold zenith
.reopen
lone heartBOT
✅
cold zenith
@surreal meadow i watched a 40 minute video on methods of undetermined coefficients it didnt say anything about multiplying by x or anything like that
can you just explain it to me
im pretty sure i get everything else
surreal meadow
cold zenith
@surreal meadow is this just some special rule or what
surreal meadow
it’s the method of undetermined coefficients
cold zenith
@surreal meadow but this is only for equations equal to Ct^(m)e^(rt)?
surreal meadow
how is that different from what you have?
cold zenith
it works for my equation its just ive never seen this specific rule for equations in that form
lone heartBOT
@cold zenith Has your question been resolved?
copper apex
lone heartBOT
copper apex
could someone help rq
lone heartBOT
@copper apex Has your question been resolved?
teal frigate
what am i doing wrong here?
lone heartBOT
what am i doing wrong here?
lone heartBOT
@teal frigate Has your question been resolved?
lone heartBOT
lone heartBOT
Available help channel!
finite mesa
heady finch
13th question
lone heartBOT
13th question
limpid turret
,rotate -12
ocean sealBOT
alpine sable
lone heartBOT
alpine sable
how am i supposed to use venn digram in this
its just a formula i have to apply and check if it matches the number of subsets right
?
just tag me if someone answers thx
lone heartBOT
@alpine sable Has your question been resolved?
strong marten
Universe U = {2, 3, 4, 7, 8, 9}
P(x) = even number
Q(x) = uneven number
R(x,y): x is factor of y
Is this true or false ? Explain the formular in your language ?
a) ∃x∃y (Q(x) ∧ Q(y) ∧ ¬∃z (R(z,x) ∧ R(z,y)))
b) ∃x ∀y (P(x) ∧ Q(y) → R(z, x) )
strong marten
Universe U = {2, 3, 4, 7, 8, 9}
P(x) = x is even number
Q(x) = x is uneven number
R(x,y): x is factor of y
Is this true or false ? Explain the formular in your language ?
a) ∃x∃y (Q(x) ∧ Q(y) ∧ ¬∃z (R(z,x) ∧ R(z,y)))
b) ∃x ∀y (P(x) ∧ Q(y) → R(z, x) )
is this correct ? There exist two numbers x and y such that both x and y are odd numbers, and there is no number z that is a factor of both x and y.
lone heartBOT
@strong marten Has your question been resolved?
lone heartBOT
@strong marten Has your question been resolved?
lone heartBOT
@strong marten Has your question been resolved?
drifting glade
$\int \left(f^{\left(p\right)}\left(x\right)\right)^nf^{\left(p+1\right)}\left(x\right)dx$
ocean sealBOT
m4x70
drifting glade
Evaluate the following integrals in which
the function ƒ is unspecified. Note that ƒ^(p)
is the pth derivative of ƒ and ƒ^p is the pth power of ƒ. Assume ƒ and its derivatives are continuous for all real numbers. where p is a positive integer, n ≠ -1
where p is positive and n =/ -1
lone heartBOT
@drifting glade Has your question been resolved?
hot eagle
Okay so
hot eagle
If I'm substituting
And I have
- 2x + y = 6
- 3x - 2y = 2
How do I begin the isolation process to make a new line for 1
Idk flip image command
modern sedge
,rccw
ocean sealBOT
hot eagle
Okay sic
On the left side I isolated then made new version
I don't get how for this side. There was 9 to subtract but this side is just y
hot eagle
rccw stands for "**R**otate **C**ounter**C**lock**W**ise"
Sweet
lone heartBOT
@hot eagle Has your question been resolved?
lone heartBOT
@hot eagle Has your question been resolved?
spring galleon
lone heartBOT
spring galleon
Don’t know how to solve this, did 4000/25 and that’s about all I know.
limpid spade
how did u simplify 4000/25
spring galleon
By dividing them, I got 160.
wet nest
cbrt(160)
Maybe try using approximation next
lone heartBOT
@spring galleon Has your question been resolved?
alpine sable
A small theater had 8 rows of 23 chairs each. Workers just removed 9 of these chairs. How many chairs are left?
lone heartBOT
crude meteor
A small theater had 8 rows of 23 chairs each. Workers just removed 9 of these ch...
It makes 175
Chairs
alpine sable
im not good at math so like i need help a lot 😭
crude meteor
im not good at math so like i need help a lot 😭
No worries i'm not so good either
But trying to improve is good , have a nice one
alpine sable
you too
lone heartBOT
Available help channel!
gritty wraith
lone heartBOT
wet lark
!status
lone heartBOT
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
i dont know where to begin
gritty wraith
ok
wet lark
what is the formula for the area of a rectangle?
gritty wraith
isnt the formula the numbers on the outside
gritty wraith
dont you times it
gritty wraith
oh yh
wet lark
what is it?
gritty wraith
so normally i just add it all up i think that the area i might be wrong
wet lark
that is the perimeter
gritty wraith
oh
pearl dagger
!status
Omg tysm I literally have had to explain this process so many times I didn’t realize there was a command for it
wet lark
Omg tysm I literally have had to explain this process so many times I didn’t rea...
lmao np
wet lark
because there the same length
okay, how do you find the area if we have a length of 5 and a width of 4?
let's go back a bit
gritty wraith
wait it says the area is 15
wet lark
no ignore the picture
gritty wraith
ok
wet lark
for now
gritty wraith
sorry
wet lark
we'll get back there soon
so, how do you find the area if we have a length of 5 and a width of 4?
let's review for a sec
gritty wraith
you get the you add 5+5 and 4+4 the add it all up
gritty wraith
umm times 5 by 4
gritty wraith
20
wet lark
correct
okay now
from what we did
we just multiply the length and width together
to get the area
correct?
gritty wraith
yes i think so
wet lark
it should
since that is what you just did
you just multiply the width and length together
so with that in mind
we can conclude that the formula for the area of a rectangle is
$A=\ell w$
ocean sealBOT
gekka
wet lark
where l is the length
and w is the width
and A is the area
okay now let's look back at the problem
gritty wraith
ok
wet lark
what is the area of that rectangle on the picture you sent?
gritty wraith
15
ocean sealBOT
gekka
wet lark
cool
gritty wraith
cm2
wet lark
now, what is the length of the rectangle from the picture?
gritty wraith
5cm
gritty wraith
ok
ocean sealBOT
gekka
wet lark
what is the width?
gritty wraith
q-2cm
ocean sealBOT
gekka
wet lark
well, we are finding q
and to get the area
the equation is just simply this
$5(q-2)$
ocean sealBOT
gekka
wet lark
and that equation must gives us 15
gritty wraith
so 15cm
wet lark
$=15$
ocean sealBOT
gekka
wet lark
$5(q-2)=15$
ocean sealBOT
gekka
gritty wraith
ok
gritty wraith
we times it by the 5cm
wet lark
on where?
gritty wraith
im not sure
wet lark
we are done with the picture so dont worry about that
to find q, all we need to do, is to just solve for q
like how you would normally solve equations
so with that in mind
how would you solve for q?
gritty wraith
times q by q
wet lark
that wouldn't work
think back on where you learn how to solve equations
what should you do to solve for q?
charred bluff
you’re closer than you think
charred bluff
do we just add it up
No
ocean sealBOT
gekka
wet lark
how would you solve for x?
charred bluff
gritty wraith
<:pandaThink:524885344995508235>
just take the 3 off it
charred bluff
just take the 3 off it
Well yeah but
wet lark
just take the 3 off it
how, i ask?
gritty wraith
wait bring it to 1 side
gritty wraith
bring the values to the other
wet lark
bring the values to the other
by doing what?
wet lark
no point in moving it
you can technically multiply by the reciprocal
charred bluff
oh
wet lark
that still works
charred bluff
makes sense
gritty wraith
by doing what?
switching it around
wet lark
makes sense
i definitely didnt struggle to type reciprocal lol
gritty wraith
why is math so hard
charred bluff
switching it around
can you demonstrate
charred bluff
write down the way you think you would solve the equation
wet lark
then come back
wet lark
alr
make sure you come back every so often so this channel doesnt time out
no wait
wrong lesson
@gritty wraith wrong lesson
charred bluff
wait
wet lark
gritty wraith
and this is the 2nd question
charred bluff
and this is the 2nd question
?
wet lark
https://www.khanacademy.org/math/algebra-home/alg-basic-eq-ineq/alg-two-steps-eq...
here watch all of this
wet lark
it is possible
if you have the motivation to do so
but it's better off doing it at school for course credit
charred bluff
if you’re doing it during summer
then
you should be fine
but if you’re trying to learn on top of other schoolwork then u shouldn’t do it
yeppie
gritty wraith
yep im dying rn
all this
by today
i might just give up and take the 2 weeks with no football
ocean sealBOT
gekka
wet lark
and if we simplify the left hand side
\begin{align*}
5(2-2)&=15\
5(0)&=\
0&\not=
\end{align*}
ocean sealBOT
gekka
gritty wraith
ok
charred bluff
i might just give up and take the 2 weeks with no football
did you learn what to do?
gritty wraith
did you learn what to do?
nope
charred bluff
the thing you’re looking for is the distributive property
gritty wraith
ive asked my parents for help but they just have ago at me so
wet lark
the thing you’re looking for is the distributive property
well there is a better way of doing that
gritty wraith
and say "im smarter then this" when they dont know the times tables
charred bluff
and say "im smarter then this" when they dont know the times tables
ok
let’s try an easier equation
gritty wraith
i just wanna do this question
charred bluff
I want to try and help you understand so that you have the ability to do it in the future
alpine sable
dang, I gotta find the P0
belonging to plane 2 (2x+4y-2z=-1)
lone heartBOT
@alpine sable Has your question been resolved?
lone heartBOT
@alpine sable Has your question been resolved?
alpine sable
.close
urban hazel
I need help on the possibilities
lone heartBOT
I need help on the possibilities
lone heartBOT
@urban hazel Has your question been resolved?
steady basin
lone heartBOT
lone heartBOT
@steady basin Has your question been resolved?
steady basin
.close
lone heartBOT
lone heartBOT
Available help channel!
vapid steppe
A bag contains 30 lottery balls numbered 1-30. A ball is selected, NOT replaced, then another is drawn. Find P(two perfect squares)
vapid steppe
5
wintry panther
How many outcomes can you get?
wintry panther
I mean, you need to choose the sample space you work with
It can be the set of all pairs of numbers
because the order doesn't really matter
vapid steppe
it has to be from 1-30
wintry panther
Or you can choose ordered pairs for (first ball, second balls)
yes so, one possible outcome is "first ball =2 second ball =5"
if you want to consider the order of drawing the balls
Or you can think of it as unordered {2,5}
Choose one, what do you prefer?
(Both work)
@vapid steppe do you know what a sample space is?
vapid steppe
yea
vapid steppe
Or you can choose ordered pairs for (first ball, second balls)
this
vapid steppe
30!
wintry panther
Nope
wintry panther
I mean in general, not only perfect squares...
(1,2),(1,3),...,(1,30),(2,1),(2,3),...,(2,30),....,(30,1),(30,2)...(30,29)
vapid steppe
i got the answer is 2/87 i did $\frac{5}{30}\cdot \frac{4}{29}$
ocean sealBOT
Jash
vapid steppe
but idk how
wintry panther
The number of pairs is
30*29
30 options for the first number, 29 for the second number
right?
vapid steppe
ye cuz its not replaced
vapid steppe
ye
wintry panther
Now for the numerator
vapid steppe
idk why u do 5 * 4 tho
wintry panther
How many pairs with perfect squares do you have?
vapid steppe
oh you take away a perfect square
wintry panther
5 for the first number, 4 remaining for the second
5*4
So it is $\frac{5\cdot4}{30\cdot 29}$
ocean sealBOT
Cain
vapid steppe
ok ty
wintry panther
You are welcome
vapid steppe
A football team has 5 freshman, 8 sophomores, 11 juniors, 16 seniors. If two are chosen at random to participate in the coin toss, what is the probability that both players chosen are seniors?
do i just do probability of the first person times the probability of the second person
wow i got it right it was 2/13
vapid steppe
yea
wintry panther
good
vapid steppe
Ryan's mom randomly chooses two days each week for Ryan to do his chores. What is the probability that she picks Saturday and Sunday?
wintry panther
OK
Similar to what we already did with the pairs of numbers
Now it's between 1-7
vapid steppe
its not 1/7 * 1/7
wintry panther
Nope
vapid steppe
or 1/7 * 1/6
wintry panther
2/7 * 1/6
you have two options for the first
then you are left with 1
It's all very similar
Like we did before
vapid steppe
i understand why the 7 goes to 6 but i dont get why the 2 goes to 1
wintry panther
You choose the first day between sat and sun
you have 2 options
After you choose the first, you can't choose it again
So you are left with 1 remaining day
from {sun, sat}
Got it?
The same way you did with the seniors
vapid steppe
ya
wintry panther
You chose one senior, then you had one less left
And as we did with the squares
You chose the first square (5 options), than you have 4 left
soft needle
I did
M= 2 - 4/6 - ‐2
To get -0.25, how do I finish the problem since I still need the other number?
heady pollen
a line generally has the equation
y=mx+b
you got your m
so you have:
y=-0.25x+b
you also have 2 points, so a set of (x,y) which you can input
soft needle
How can I get my B then?
heady pollen
you have an equation with 3 variables
if we plug in our point, so 2 variables, only 1 will remain, which is the b
tacit arch
So
Y - 2 = -0.25 (x-6)?
simplify this into y=mx+b form
soft needle
How do I do that?
tacit arch
you have y-2 on the left. how do you make it so that it's only y?
you have to add the same thing to both sides of the equation, so you add that number to -0.25(x-6) on the right.
,tex .alg lesson
ocean sealBOT
riemann
soft needle
you have to add the same thing to both sides of the equation, so you add that nu...
I got y = -0.25x + 3.5 from that
supple yoke
Help find the Fourier transform of this function:
lone heartBOT
Help find the Fourier transform of this function:
@supple yoke Has your question been resolved?
Available help channel!
sterile sparrow
lone heartBOT
sterile sparrow
I'm not entirely sure how to use an equation to describe such a thing
alpine nacelle
the xy-plane is the set of points such that z = 0
and you naturally get that the intersection between the sphere and the xy-plane is a circle
be careful with xz-plane tho, as the sphere doesn't intersect it
sterile sparrow
how would I figure out those coordinates?
maybe set the sphere equation equal to the xy plane?
z=0
alpine nacelle
let M be a point of intersection of the sphere and xy-plane
then (x-3)²+(y+11)²+(z-8)² = 100
z = 0
so (x-3)²+(y+11)² = 36
that's a circle
sudden ginkgo
Please someone help
lone heartBOT
Please someone help
sudden ginkgo
Alr
limpid turret
sudden ginkgo
Give me one second
tired fossil
well a total of 141 books suggests that number of non fiction + 54 = 141
thus non fiction is 141 - 54
sudden ginkgo
Okay ty
subtle escarp
Maybe I’m overthinking this but I need some help
lone heartBOT
Maybe I’m overthinking this but I need some help
subtle escarp
The question is about interest and what not and I’m not particularly good with word questions so this sentence kinda threw me off
lone heartBOT
@subtle escarp Has your question been resolved?
subtle escarp
I understand if no one can help
lone heartBOT
@subtle escarp Has your question been resolved?
little cloud
Just the find the A value using the compound interest formula. Divide the A value by 84 (7 years= 84 months) because the loan is taken for 7 years
@subtle escarp
subtle escarp
Mk so
30k would be the p
.029 would be the r
So what would be the n
Also thank you for taking your time to help me
little cloud
the n would be 12 because the problem states that the interest in compounded monthly. There are 12 months in a year. So n is just the amount of times the interest is compounded in a year
little cloud
wait lemme solve it too
subtle escarp
subtle escarp
wait lemme solve it too
Lol take your time
little cloud
And idk if 36k would be the monthly payment
u would still have to divide by 84
subtle escarp
Ohh
little cloud
cuz 36k is the total payment
subtle escarp
Ok that makes sense, Also I never considered it either
Thank you so much dude, I missed the 3 days we started and went over this unit because I had family problems I was dealing with so this is a huge lifesaver
subtle escarp
Ty dude! I’ve kept my 4.0 this whole school year so it should be fairly easy
.close
soft needle
lone heartBOT
soft needle
What am I doing wrong?
karmic pulsar
soft needle
I don't think that's right
slender quiver
the slope of the line should go down by 1/3 but not up
soft needle
.close
wheat isle
slender quiver
ok
wheat isle
Yes
ocean sealBOT
wet lark
okay so
deep moon
?
wet lark
!status
lone heartBOT
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
What's sin(90-theta)
wheat isle
I’m not sure I just got it from the cosec
wet lark
```
What step are you on?
1. I don't know where to begin
2. I have begun but got...
@wheat isle
deep moon
Yeah
wet lark
What's sin(90-theta)
it's an identity
wheat isle
<@722683408190406667>
I don’t know what else to do from what I have
deep moon
Are you aware of the angle identity?
wet lark
okay so
deep moon
Sin(90-theta) = cos(theta)
wheat isle
I haven’t done a question like this when there’s no angle given
ocean sealBOT
gekka
wet lark
this is a cofunction identity
wheat isle
Right
wheat isle
But how am I supposed to apply it here
wet lark
$\sec\theta-\csc(90^{\circ}-\theta)$
ocean sealBOT
gekka
wet lark
okay so
Because $\csc(90^{\circ}-\theta)=\sec\theta$ is an identity, what do you think we should do next?
ocean sealBOT
gekka
wheat isle
Sub in the identity in sec(theta)?
wheat isle
csc(90-theta) - csc(90-theta)
ocean sealBOT
gekka
wheat isle
o
wet lark
csc(90-theta) - csc(90-theta)
sub it the other way
these 2 would just cancel each other out
so what would that leave us at?
wheat isle
0?
wet lark
bingo
wheat isle
csc(90-theta) - csc(90-theta)
This would also achieve 0 wouldn’t it
wheat isle
But it’s just easier with sec
wet lark
i just think subbing it the other way works better
wheat isle
Ah okay
wet lark
since it's much less clutter
but either works fine
here are the rest of the cofunction identity
pi/2 is another way of saying 90 degree
wheat isle
Radians?
wheat isle
Because they both add to 90
wet lark
So would Q10 be 10
And Q11 be 68
you literally just change it
and you should easily find x or y
wheat isle
So wouldn’t x be 10
ocean sealBOT
gekka
wet lark
just use the identity to change that cos to sin
wheat isle
But 10 degrees is needed for sin80 to be equal to 90
wet lark
and the answer should be obvious from there
you use the identity
$\sin(90^{\circ}-\theta)=\cos\theta$
to change from sin to cos
ocean sealBOT
gekka
wet lark
so it would be