Using that FRC
#help-36
rotund glen
right, it pretty much sais
the integrals and derivatives cancel out
and ur left once again back at f(x)
if u take the derivative of an integral
jagged cosmos
In part A, if you differentiate the RHS of the equation what do you get
jagged cosmos
No limits
jagged cosmos
Symbolab?
, w d/dx(int_0^x 1/sqrt(2pi)e^(-t^2/2)dt)
Wolfram after destroying the competition
soft zealotBOT
jagged cosmos
rotund glen
wtf
just to reiterate
we express f(x) as a derivative of an integral
by FTC
so when we take the derivative of f(x), we are technically taking the derivative of the LHS twice sorta
jagged cosmos
No
rotund glen
kms
jagged cosmos
Can you write down the Newton's Method formula
jagged cosmos
Yes
rotund glen
which is the RHS of this
jagged cosmos
Now we are trying to find the derivative of f(x)
rotund glen
yes
jagged cosmos
So f'(x) is equal to the derivative of the RHS
jagged cosmos
which is the RHS of this
Forget that, that's the formula for FRC
That f(x) and your f(x) aren't related by any means
rotund glen
for here we just do like d/dx over that entire thing?
nvm that doesnt rlly matter
how would u compute the derivative by hand
jagged cosmos
Of the RHS?
rotund glen
ye
jagged cosmos
Using this, f(t) is the function 1/sqrt(2pi)e^(-t^2)/2
jagged cosmos
Puff, yes
final saddleBOT
@rotund glen Has your question been resolved?
chrome hemlock
hi
chrome hemlock
idk combionations are weird
im behjind ion my whole class
is this right it feels wrong
chrome hemlock
why?
ok so my thought process was the first value can be 4 of them
bc it can be
4, 5, 6 or 8
and then the second one can be 5 because we include 0 now but take one out casue we used it for the first digit
warm python
yeah
oh
right
so your first find the number which start with 4
and then all other numbers
sonic crystal
hi
sonic crystal
why not first
chrome hemlock
ay ay ay commendation letter
sonic crystal
Jk good job
chrome hemlock
why not first
ok ITS NOT MY FAULT THERES A CHILD GENIUS IN MY YEAR
sonic crystal
Is it the Indian
sonic crystal
Is it a Indian
sonic crystal
Wowie
warm python
I still feel you should split it into twi cases, first find the number of even number greater than 4000 but less than 5000
and then the number more than 5000
chrome hemlock
I still feel you should split it into twi cases, first find the number of even n...
hmm why?
warm python
becuase your number can't end with 4 when the number is between 4000 and 5000
but itherwise it can
hazy hemlock
Just take cases by ending the no.s with even at end
chrome hemlock
what no.s?
hazy hemlock
chrome hemlock
ohhh
hazy hemlock
Do u get it?
chrome hemlock
yes yes
the 0 part
also sorry i dont have answers to this past test is it ok if u check if its right?
hazy hemlock
the 0 part
Btw I made a error the first box should be 5!
Since 4,5,6,7,8 are possible
hazy hemlock
also sorry i dont have answers to this past test is it ok if u check if its righ...
I will try
hazy hemlock
Yep looks good to me
warm python
they all seem right to me
warm python
I suggest you do, there are some really intresting questions on this topic
hazy hemlock
and just draw math
lol
warm python
ceebs?
hazy hemlock
Which class u in btw
warm python
i feel like past papers best way to revise
they are
hazy hemlock
Oh ok nicee
hazy hemlock
Two combinatorics are equal if r is n-r and r
warm python
rather similar to a sigmoid curve
hazy hemlock
So one of them is either r or n-r
chrome hemlock
is r the one on top
warm python
SAY WHAT NOW
something like this(This is continuous though(
chrome hemlock
ohhh waht i nevber knew graphs camke into stuff like combinations
mi better nevber learn that in my life
warm python
it isn't continuous, when you plot the points, this is the curve that best descibes the distribution, that's it
hazy hemlock
Yep
chrome hemlock
why doesnt a = b too
do u know what these are called
i want to watch a yt video
i still havent finished the pascals triangle chapter and the pigeon hole principle chapter in my textbook
hazy hemlock
i want to watch a yt video
Just PNC would work..the second part of this chap is combinatorics
chrome hemlock
whats PNC?
i think im going to cry if they ask me to prove something
in thet est
like this
hazy hemlock
whats PNC?
Permutations and combinations
chrome hemlock
Why
am i on the right track?
wait im going to the shops real quick
i will be back
hazy hemlock
Okay but don't overthink all these qns
hazy hemlock
No I don't know but the steps look long
chrome hemlock
oh!
hazy hemlock
Didn't check yet, but ig could be done in 1-2 lines
hazy hemlock
Yeah
hazy hemlock
It's okay takes time for first time
final saddleBOT
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past dust
help needed
final saddleBOT
help needed
past dust
west berry
! Status
final saddleBOT
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 was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
idk the formula
quartz summit
have i written this properly and done it correctly? my teacher said the formula was correct but i am unsure
final saddleBOT
have i written this properly and done it correctly? my teacher said the formula ...
cobalt lodge
.28
no, that correspond to a 28% annual interest rate
quartz summit
oh, it'd be .028 right
cobalt lodge
get me the location of that bank so i can immediately transfer my savings over /s
yes
quartz summit
ohh, what a stupid mistake, thanks for the help :)
mental roost
the 2.8% is annual
we compound quarterly
so wouldnt it be 0.7% per quarter of a year?
quartz summit
that's what the /4 is for
mental roost
well you already have that, true
why the 180 in the exponent?
ah you mean 180 instead of the 4*45, since it's the same?
quartz summit
yes
mental roost
kk
heavy grove
Question 5
final saddleBOT
Question 5
heavy grove
I tried substituting x=2u to exploit a trig identity but it doesn’t work
I think I’m doing it wrong
main prairie
L hospital is giga chad
main prairie
Which question we talking about
heavy grove
5
final tangle
but it doesn’t work
how far did you get, what exactly didn't work
heavy grove
> but it doesn’t work
how far did you get, what exactly didn't work
I’ll send a pic
@final tangle
Did I make a mistake?
Because using lhopital it should be 1/2
final tangle
what happened here
heavy grove
Trig identity
final saddleBOT
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lime cloak
I wonder if i made some mistake...?
final saddleBOT
I wonder if i made some mistake...?
tawny bluff
,rotate
soft zealotBOT
tawny bluff
you're finding dy/dx not dy/da yes?
lime cloak
Yes
lime cloak
Well i got confused
tawny bluff
I can see that
lime cloak
X is constant right?
lime cloak
Okay
tawny bluff
a and b are constants, like 2 or 7 or π or 88.12938
lime cloak
2
tawny bluff
what is the derivative of 8x?
lime cloak
8
tawny bluff
what is the derivative of ax?
tawny bluff
yup
so for something more complex
you can do it in two ways: one is simple, one is complicated
the simple method is to factor out the coefficients
if you want to find the derivative of 32x^2 or 12ax^3, you write them as (32)(x^2) and (12a)(x^3)
giving derivatives of (32)(2x) and (12a)(3x^2) respectively
notice how the contant coefficients are untouched
if you want to do it the hard way, you use the product rule
(32)(x^2) = 0(x^2) + (32)(2x) = (32)(2x)
(12a)(x^3) = 0(x^3) + (12a)(3x^2) = (12a)(3x^2)
(derivative of 32 and 12a are both 0)
I recommend the first method though
lime cloak
Yes i see
tawny bluff
it makes more sense
final saddleBOT
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lime cloak
I think i messed up at step where i circled
final saddleBOT
I think i messed up at step where i circled
lime cloak
,rotate
soft zealotBOT
cunning glen
the second line should read y = u^2 - 2u^(3/2)c + c^2u. This is from combining u*u^(1/2) to give us u^(3/2)
but what you have written is still correct to the second line at least
lime cloak
the second line should read y = u^2 - 2u^(3/2)c + c^2u. This is from combining u...
oh yeah like u^1*u^1/2
cunning glen
yes, so one justs adds the exponents
lime cloak
ahhhhhhhhhh okay
cunning glen
and then use normal power rule to differentiate
final saddleBOT
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died_of_cringe
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torpid vigil
$$2^{x}+x^{2}+4+\frac{1}{x^{3}}=(2^{x})^{2}$$
soft zealotBOT
died_of_cringe
west berry
.
torpid vigil
i know it has multiple real solutions (wolframalpha)
stuck tide
i know it has multiple real solutions (wolframalpha)
Type .reopen, the channel got closed because you deleted your message
torpid vigil
ok
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zenith furnace
Can someone help me get to this step?
final saddleBOT
Can someone help me get to this step?
@zenith furnace Has your question been resolved?
vital lagoon
vital lagoon
<@&286206848099549185>
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@vital lagoon Has your question been resolved?
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 was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
loud sundial
You can length chase and show that $$KF^2+FC^2=KD^2+DC^2$$
soft zealotBOT
Civil Service Pigeon
vital lagoon
I couldn't build any relation between lenght
I tried to find same angle
But I cannot manage it
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@vital lagoon Has your question been resolved?
cunning warren
Picture the correct angle
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half rampart
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half rampart
How did they get 18?
Isnt this what the top looks like?
Bottom right? Why is it the top right?
fallen vigil
wait this doesnt even make sense :0
ivory ermine
fr
fallen vigil
frfr
ivory ermine
why does the left look like that
zenith pollen
uhh to help you build it remember that the blocks have to stack up because of gravity, so all the top view blocks are at the bottom layer
I get 10 blocks though
fallen vigil
how did u? i did not manage to find a block configuration that fits the diagram
ivory ermine
fr
fallen vigil
nvm no solutions so if u found one good,
zenith pollen
the real secret is to do it in minecraft
fallen vigil
omg one moment
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fallen vigil
@zenith pollen I got it but it was hard TnT
half rampart
you got 18?
flat mason
visualise it from 3 directions
final saddleBOT
fallen vigil
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long escarp
Hi
long escarp
I understand this is mathematics but i had a quick question about physics: when drawing the triangular vector diagrams, do all arrow heads have to meet at one point?
Is this acceptable for a vector diagram in terms of where the arrowheads are?
dire solar
yes
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long escarp
O really i thought my teacher said that would not be good
ivory vessel
$z$ is a complex number such that $|i\bar{z}+3-2i| =4$
final saddleBOT
$z$ is a complex number such that $|i\bar{z}+3-2i| =4$
soft zealotBOT
Fungus 34A05
ivory vessel
the set of all points represent $w=2i\bar{z}+5-6i$
soft zealotBOT
Fungus 34A05
ivory vessel
is a circle with the center $I(a, b)$ and radius R
soft zealotBOT
Fungus 34A05
soft zealotBOT
Fungus 34A05
ivory vessel
but i dont know where to go from here
final saddleBOT
@ivory vessel Has your question been resolved?
ivory vessel
<@&286206848099549185>
rain compass
the equation for a circle in general is
(x - a)^2 + (y - b)^2 = r^2
where the center is (a,b) and the radius is r
locate those in the equation you found
ivory vessel
where the center is (a,b) and the radius is r
(2, -3) and 4
the problem is, this is the circle representing z, not w
ivory vessel
<@&286206848099549185>
proud harness
what is problem?
tribal brook
but i dont know where to go from here
the analytic centre of the circle is (2,-3) and the radius is 4
oh
proud harness
yes, I think so
ivory vessel
**Fungus 34A05**
this is w, whose numbers i need to find
proud harness
a=2 b=-3 r=4
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round heath
i gotta find out the the number of ways certain points be connected to each other following certain rules and using the minimum number of connection lines:
We have A,B,C,D,E that is five different points.
It's a network that will utilize direct lines to link certain areas, but it is imperative that each area can communicate with every other area, either directly or through a chain of connections.
rules:
A cannot be directly connected to D
B must be directly connected to E
C can only be directly connected to either D or A but not both
final saddleBOT
i gotta find out the the number of ways certain points be connected to each othe...
round heath
I can hit and trial and do it but on a timed test
graceful badger
how do i do financhial maths???
round heath
how do i do financhial maths???
ask on #discussion
round heath
I can hit and trial and do it but on a timed test
i may just not be sure if I've checked every way possible
the answer to this is 8 ways
how can I make sure I'm not missing any way when doing hit and trial and is there a better way
gloomy locust
okay well
so the question is asking how many ways can it be done in the minimal number of connections?
firstly you want to know what this minimum is
i think this is 4 connections right
so then you can do some counting, starting by asking where the connection from D goes to
final saddleBOT
@round heath Has your question been resolved?
round heath
i think this is 4 connections right
yes
round heath
so then you can do some counting, starting by asking where the connection from D...
ohkay
okay
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royal basin
Hey!
i need help with Prove or disprove:
Given A,B,C Sets.
$A\cap B\cap C\subseteq A\Delta B\Delta :C
soft zealotBOT
Kingo
half shard
I would do something like:
Suppose x is any element in A n B n C.
This means x is an element in A n B. This means it is not included in A ∆ B.
x is also an element of C (given). It is in C, but not in A ∆ B, so it is included in the symmetric difference of A ∆ B and C (as it is not in their intersection).
royal basin
I would do something like:
Suppose x is any element in A n B n C.
This means x...
sounds good
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tawny ivy
final saddleBOT
tawny ivy
Have I performed djikstras correct
sturdy cypress
you clearly meant to mark this edge
and you ignored this one
just never did anything with it
it's still mostly sensible
final saddleBOT
@tawny ivy Has your question been resolved?
tawny ivy
just never did anything with it
Oh didnt see
tawny ivy
you clearly meant to mark this edge
But don’t I only keep the one that is minimal
sturdy cypress
when you change the bold number to a lower number, you mark the efge that caused it
the weight of the edge doesn't matter
so it was marked before you went B→C, and you don't unmark it because you didn't find a better path to C
you did the right thing here am i wrong?
f→c has weight 1, so it would be the minimal edge that goes to C
and it doesn't matter, you keep BC and don't mark FC
oh nvm you can't even look at fc, c is examined, you can't go there
final saddleBOT
@tawny ivy Has your question been resolved?
shrewd vector
but i dont know where to go from here
@craggy plank
the way I interpret 2i*z_bar + 5 -6i is as an order set of 2D transformations of Z
as you guys said, z = C + Di where where C,D are reals is a complex circle defined by (D+3)^2+(C-2)^2 = 16
- z_bar is reflection about the real axis
- multiplying by i is a rotation of 90deg from the origin
- multiplying by 2 is a dilation from the origin
- adding (5-6i) is a transposition
so lets think of our complex circle as a center (I) and radius (r). Then lets do the transformations in order
- I = [2,-3]; r = 4
- I = [2,3]; r = 4
- I = [-3,2]; r = 4
- I = [-6,4]; r = 8
- I = [-1, -2]; r = 8
==>
w = M + Ni s.t. M,N are reals and (M+1)^2 + (N+2)^2 = 64
final saddleBOT
<@982507190566932510>
the way I interpret 2i*z_bar + 5 -6i is as an order set o...
@shrewd vector Has your question been resolved?
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tranquil pine
How to solve 2?
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wild yew
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dire solar
,rotate
soft zealotBOT
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unique aspen
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muted prairie
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tranquil pine
If the number of degrees of freedom for a chi-square distribution is 4, what is the population mean and standard deviation? (Round your answers to four decimal places.)
final saddleBOT
If the number of degrees of freedom for a chi-square distribution is 4, what is ...
vital surge
If the number of degrees of freedom for a chi-square distribution is 4, what is ...
r u familiar with properties of chi-square distribution
tranquil pine
no
vital surge
for chi-square dist. with degrees of freedom k,
mean is k
variance is 2k
tranquil pine
df is like n - 1 right?
vital surge
that's in context of hypothesis testing with the t-distribution
placid birch
6 balles numbered 1-6 are in a box. if I take 2 different balls out at random, what is the expected value of the sum of both balls and what is the expected value of product
final saddleBOT
6 balles numbered 1-6 are in a box. if I take 2 different balls out at random, w...
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stable thorn
Please help, I am stuck at this part
final saddleBOT
Please help, I am stuck at this part
fathom walrus
i mean ur on the right path
royal gust
You're so close
stable thorn
You're so close
fr?
fathom walrus
know that $(a^b)^c = a^{bc}$
royal gust
Make sure to keep your exponent laws nearby
soft zealotBOT
Stephen
ivory vessel
Given a cube ABCD.A'B'C'D' with length a. Let M be a point on BB' such that $BM=2MB'$, K is the midpoint of DD'. The plane (CMK) divides the cube into two polyhedra. Calculate the volume of the polyhedron containing the vertex C' in terms of a.
final saddleBOT
Given a cube ABCD.A'B'C'D' with length a. Let M be a point on BB' such that $BM=...
soft zealotBOT
Fungus 34A05
ivory vessel
my goal is to find the point where AA' and the plane intersects, but i dont know how to do so
vital surge
to do that u can consider vector addition
ivory vessel
what do you mean?
vital surge
CM + CK lands on line AA' and is inside the plane
ivory vessel
but they arent vectors though, they are segments
and this isnt in a coordinate system
this is a more quality image
vital surge
but they arent vectors though, they are segments
i'm asking u to treat them like vectors
is there anything i said u don't understand or would like me to rephrase
ivory vessel
so, i calculate CM and CK, but i can only get its magnitude, not their directions
vital surge
misunderstanding here
vital surge
imagine like
u consider segment CK
u shift that segment up (in the direction along segment CM) so that point C eventually lies on point M
vital surge
i said vector addition at the start since that was easiest way to visualize this
but this explanation doesn't use vectors and achieves the same effect so ig
ivory vessel
so i need to calculate the distance between M and K if they belong on the same side
and add that to BM in order to get the distance of A and that point?
vital surge
no
vital surge
imagine like
u consider segment CK
u shift that segment up (in the direction a...
applying this transformation, where point K ends up is on line AA'
does this statement make sense
ivory vessel
yes, i understand it
vital surge
my goal is to find the point where AA' and the plane intersects, but i dont know...
then this goal is effectively achieved
ivory vessel
so lets say after the transformation, the new point K is called K', who lies on AA'
so K' shall be the intersection of (CMK) and AA', and i can now calculate AK' and A'K'
ok got it
it seems to lie outside the cube though
i got AK' = 7a/6
now we got that, how in the world am i supposed to calculate the upper polyhedron
<@&286206848099549185>
vital surge
now we got that, how in the world am i supposed to calculate the upper polyhedro...
hint: ||complementary counting||
actually i guess that's not needed
ivory vessel
i also cant calculate the other polyhedron
vital surge
hint: ||make use of symmetry||
ivory vessel
their shapes are too unusual
vital surge
well the shapes ofc aren't symmetric
my suggestion is to consider what symmetries exist in the problem that may be beneficial to you
vital surge
their shapes are too unusual
following that line of thought of symmetry, the shapes are only unusual because ||they are arbitrarily cut off by plane A'B'C'D'||
(this spoilered message is larger of a hint than the others)
vital surge
maybe the plane inside the cube?
in this case, i'd say outside matters too
clarification on what i mean by that, you only need to consider the portion of the plane that lies above the ABCD square
ivory vessel
clarification on what i mean by that, you only need to consider the portion of t...
ok so, heres my understanding
you want me to protrude AA' such that it cuts (CMJ), which creates a prism, whose volume i can calculate?
wait, OH
wait no
it isnt a prism, at least not one created by the cube vertices
@vital surge hm, i would like some more explanations
<@&286206848099549185>
.close
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prisma lantern
celest crane
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wind badger
Do you know the distance formula?
jagged flare
you could use pythagoras
wind badger
Use that; you essentially have coordinates relative to an origin point already
jagged flare
you can use that then
wind badger
Yes; make sure to pay attention to east/west and north/south though
You need to make sure to change the sign depending on if it’s east or west, north or south
As 100 km east is not the same as 100 km west for example
Yes
Yes
Then you can find (b) using simple Pythagorean theorem (which is really just distance formula with (x1,y1) = (0,0)
Looks good
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jagged flare
find the number of positive integers of x, y, and z where x>y>z and x+y+z=2025
jagged flare
i thought this was a stars and bars question but im struggling on how to apply it to here
chrome pawn
I would’ve done that too
jagged flare
yeah but they have to be ordered and diffrent, as far as i know there are no stars and bars with that limitation
chrome pawn
Yeah we have to deal with the inequality
jagged flare
how tho
honestly i dont know if its worrying that im getting used to multitasking watching a youtube video, chatting on discord while asking questions on math, and playing a game at the same time
jagged flare
why z+d-1
rain compass
naively you could just use stars and bars then remove the number of solutions that have repeats, then divide for symmetries
chrome pawn
Yeah
jagged flare
using stars and bars for distinct has 6 symetries, but with 2 of the same has 3, and 3 of the same has 1 right, so how do you take account that
rain compass
remove the counts with repeats first
then divide by 6
e.g. let x = y, count the number of solutions, multiply by 3, remove that from the original total
let x = y = z, count the number of solutions, remove that from the current total
divide by 6
that said, im not sure if we are double counting based on the assumptions stars and bars uses, im not too familiar with combinatorics
but the logic here should be sound
jagged flare
hm, makes sense but how do we count for x=y, x=y=z doesent have a sol
rain compass
x = y gives
2x + z = 2025
z must be odd
so you now have
2x + 2k + 1 = 2025, or 2x + 2k = 2024, or x + k = 1012
gritty solar
jagged flare
so you now have
2x + 2k + 1 = 2025, or 2x + 2k = 2024, or x + k = 1012
ok makes sense, im too lazy to calculate trough so ima close this, thanks everyone!
.close
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rugged cobalt
Hello, if the only given in a polygon are angles, it would be impossible to determine the length of one side right? Because with just angles as a reference the ratio of the sides is the only thing we could figure out and not the length of the sides themsleves?
final saddleBOT
Hello, if the only given in a polygon are angles, it would be impossible to dete...
rugged cobalt
Assuming it's a regular polygon
stone wagon
Hello, if the only given in a polygon are angles, it would be impossible to dete...
yes
stone wagon
Assuming it's a regular polygon
well, in that case all the sides will be the same but you can't get the length if you are simply given the angles
rugged cobalt
Thanks a lot
final saddleBOT
@rugged cobalt Has your question been resolved?
primal geode
shape ΑΒΓΔ is a square and M is a point of the arc AB. calculate the angle AMB
final saddleBOT
@primal geode Has your question been resolved?
final saddleBOT
primal geode
.reopen
final saddleBOT
✅
primal geode
shape ΑΒΓΔ is a square and M is a point of the arc AB. calculate the angle AMB
Anyone can help
white tiger
shape ΑΒΓΔ is a square and M is a point of the arc AB. calculate the angle AMB
do you have the answer
primal geode
do you have the answer
It's not given in the exercise but it's in the back of the book
If you want me to tell you
primal geode
ΑMΒ=135⁰
primal geode
Degrees
white tiger
alright first connect the center with A and B
primal geode
So I make a triangle with AOB
primal geode
90?since it's 1 fourth of circle?
primal geode
Oh 45?
white tiger
yeah but since you already got the central angle then its irrelevant
primal geode
Oh
white tiger
now whats the arc of AB
primal geode
90
primal geode
Oh θ is the angle right?
white tiger
ye
primal geode
you remember the arc length formula?
I had forgotten it
white tiger
well now you remember(hopefully)
primal geode
So I put 90/360*2πr
primal geode
well now you remember(hopefully)
I will write it down
primal geode
θ/360 * 2πr
Wait how will it be used since we don't know the radious
white tiger
Wait how will it be used since we don't know the radious
we dont need to know it
just leave it as r
so the arc length of AB is πr/2 yeah?
primal geode
I guess
white tiger
90/360 is 1/4
1/4 * 2 is 1/2
so πr/2
ok now you said M was the midpoint of arc AB yes?
primal geode
Yes
primal geode
I don't know
white tiger
well since M is the midpoint of AB
you just divide AB by 2
so AM and MB are both equal to πr/4
primal geode
Yes
primal geode
Then
white tiger
now we need to find AOM
or the central angle again
you see that this angle forms the arc AM right?
primal geode
Yes
white tiger
so we use the arc length formula again
we know AM = πr/4
πr/4 = θ/360 * 2πr
makes sense?
θ here is the central angle
primal geode
And it's 45?
primal geode
Cant we use sin45 which is √2/2
primal geode
its an isoceles triangle right?
Yes
primal geode
Yes
white tiger
yes
crystal lotus
i need help to draw the triangle with the given details. city D is 30km west to city T. the angle from city D to K is 150 and from T to K is 235
final saddleBOT
i need help to draw the triangle with the given details. city D is 30km west to...
final tangle
by angle do you mean bearing?
crystal lotus
by angle do you mean bearing?
whats bearing
crystal lotus
by angle do you mean bearing?
i think so
final tangle
clockwise angle of rotation from north
crystal lotus
clockwise angle of rotation from north
it doesnt mention that , but maybe its the language barrier
final tangle
google bearings
final tangle
did you make any attempt at a drawing
crystal lotus
yes
the line that represent the city D and T
@final tangle
idk how to continue
crystal lotus
whats drawcompass
crystal lotus
wait im confsued
final tangle
crystal lotus
yeah
final tangle
which should've come up when you looked at bearings
crystal lotus
i understand
final tangle
draw on of those centred at D
on that measure an angle of 150° going clockwise from that north line
crystal lotus
wait i dont understand how am i going to draw it going clockwise
final tangle
crystal lotus
thats north east right
crystal lotus
north 59 east
crystal lotus
yep i got this step
crystal lotus
yes
final tangle
then same idea
draw another axis at T, and this time do a rotation of 235°
final tangle
yes
crystal lotus
thats 150 right?
final tangle
close enough
crystal lotus
how do i know if city K is north or south
final saddleBOT
@crystal lotus Has your question been resolved?
crystal lotus
@final tanglei dont understand
final tangle
which part
final tangle
the lines between the cities represent the direct path between them
the angle from city D to K is 150
that tells you that K will be somewhere on the line you drew above
and then same idea for the
from T to K is 235
you'll get another line
the intersection of those will give you the location of K
final saddleBOT
@crystal lotus Has your question been resolved?
shy grove
hi, can anyone pls explain cubic sequence?
final saddleBOT
hi, can anyone pls explain cubic sequence?
shy grove
where do we get the 12a + 2b for the 2nd difference?
wise relic
It should be (3^3-2^3)-(2^3-1^3) multiplied by a and (3^2-2^2)-(2^2-1^2)multiplied by b
So the difference of the first two first differences
final saddleBOT
@shy grove Has your question been resolved?
shy grove
It should be (3^3-2^3)-(2^3-1^3) multiplied by a and (3^2-2^2)-(2^2-1^2)multipli...
hmm...
i still don't get it, like i have 0 knowledge about cubic sequences
brisk mulch
final saddleBOT
brisk mulch
This integral is confusing
I tried doing an integration by parts
But its seems to be repeating
final tangle
yes. that will happen
when you see repetition,
solve for / isolate the original integral expression
brisk mulch
when you see repetition,
solve for / isolate the original integral expression
what do you mean by this exactly, I will post my work 1 sec so you can see
Just look at the top part, I was doing something else right below it
final tangle
you haven't achieved the repetition you mentioned yet
brisk mulch
you haven't achieved the repetition you mentioned yet
I saw it in my head I was thinking oh, just sin / cos flipping
after the first integral
but I will work it out to there 1 sec
final tangle
you've also made a sign error
brisk mulch
-e^-x
I see it
I get something like this now
and I think it's a repetition because I bring the 1/6 out on the last integral
and the negatives cancel
final tangle
note that you're integral appears within here
for convenience, let your original integral be I
you'll have
I = all thht stuff you've written
then solve for I
$$I = \int f(x)\dd{x}$$
e.g. if after doing several iterations of ibp,
$$I = p - qI$$
$$I + qI = p$$
$$I = \frac{p}{1 + q}$$
soft zealotBOT
ℝαμΩℕωⅤ
brisk mulch
**ℝαμΩℕωⅤ**
I'm not seeing the connection between the two
I'll come back later to this problem I need to go somewhere, thank you for the insight though I have a more clear idea of what I need to search on youtube
.close
final saddleBOT
final saddleBOT
Available help channel!
fading zephyr
can someone try and solve this
final saddleBOT
can someone try and solve this
fading zephyr
<@&286206848099549185>
warm python
!15m
final saddleBOT
Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.
fading zephyr
.close
tranquil pine
Guys, if
E(x) = (x + 1)/((x - 1) ^ 2)
final saddleBOT
Guys, if
E(x) = (x + 1)/((x - 1) ^ 2)
tranquil pine
Solve the inequality in R
The second image
I don' t know why is ≤,
It can't be qual to 0
rain crane
What's 1/E equal to?
final saddleBOT
@tranquil pine Has your question been resolved?
tranquil pine
timber hedge
<@&286206848099549185>
yeah
final saddleBOT
@tranquil pine Has your question been resolved?
wise crescent
So
Basically
1/E = (x-1)²/(x+1)
Right @tranquil pine
And we want this to be negative
We know that (x-1)² is always positive, irrespective of the value of x
So
We just need to make x+1 negative
So x < -1
tranquil pine
1/E = (x-1)²/(x+1)
Why is that?
wise crescent
So the solution set will be x = ( - infinity, -1) + {1}
tranquil pine
E(x) is (x-1)²/(x+1)
wise crescent
E(x) is (x-1)²/(x+1)
No
E(x) = (x+1)/(x-1)²
According to the photo
Which you have sent
tranquil pine
Yeah
wise crescent
So...do you understand the rest of my solution?
tranquil pine
No
wise crescent
What part
tranquil pine
Why is 1/E= (x-1)²/(x+1)
tranquil pine
1/ 4/5
wise crescent
Which is equal to.....?
5/4
Let's look at this another way
x = 4/5
1 = 4/5x
Right?
wise crescent
Have you learnt cross multiplication
tranquil pine
Yeah
wise crescent
That's what I did
tranquil pine
Naaah
wise crescent
Which class are u in?
tranquil pine
Eight
wise crescent
I heavily advise revising / re-learning the entirety of maths of grades 1 to 7th
Because if your basics are so weak, you won't be able to do linear inequalities
tranquil pine
4×n=5×1
wise crescent
I heavily advise revising / re-learning the entirety of maths of grades 1 to 7th
please revise
wise crescent
1/E = (x-1)²/(x+1)
do you get this?