What is ibp
#help-27
mental wagon
faint hearth
Integratiom by parts
mental wagon
Okas
restive river
Speaking of integrals I think I have an easy one
mental wagon
Speaking of integrals I think I have an easy one
Please send me
If I can't solve then I am quickdoomed
mental wagon
I haven't done definite ones yet
restive river
a is 200
mental wagon
Im stuck at indefinite lol
restive river
I have a problem I want to ask about
Integrating temperature over depth for depth
am I in the right place or is this for practice
mental wagon
You are asking a noob high schooler
So this is a bad place
Bye bye
The worst
Maybe
faint hearth
Make a new channel, and you close your lchannel before leaving
restive river
Sorry about that
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mental wagon
mental wagon
Is this true
wooden veldt
no, the right hand side is equal to x^x
mental wagon
no, the right hand side is equal to x^x
The left???
wooden veldt
what?
wooden veldt
yes
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wooden veldt
youre welcome
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lusty sigil
Is my work correct?
c) C = {xₙ | xₙ = n • 3, n ∊ {9, 10, 11, 12, 13}
d) D = {xₙ | xₙ = 2 • n, n ∊ {-1, 1}
And can someone help me find the description for:
E = {8, 27, 64, 125, 216}
trim spear
Is my work correct?
c) C = {xₙ | xₙ = n • 3, n ∊ {9, 10, 11, 12, 13}
d) D = {...
u could simplify the first one to be { 3n | n ∈ Z and 9<=n<=13}
i think D is better represented as { x : x∈R and x^2=4 }
elements of E are perfect cubes
lusty sigil
u could simplify the first one to be { 3n | n ∈ **Z** and 9<=n<=13}
are these different options or is mine completely false?
trim spear
are these different options or is mine completely false?
different options
urs are correct
lusty sigil
elements of E are perfect cubes
what does that mean?
trim spear
but u could simplify them
trim spear
what does that mean?
yk what perfect squares are?
lusty sigil
but u could simplify them
oh okay okay, i just started with maths so i don’t wanna confuse myself too much
lusty sigil
yk what perfect squares are?
uh not in mathematical terms 🙂
trim spear
uh not in mathematical terms 🙂
numbers like 1, 4, 9, 25, 36 etc etc
their square roots are integers
similiarly for perfect cubes
take 8 for example
222 = 2^3 = 8
the cube root of 8 is an integer
similiarly for 27
333 = 27
for both of these, their cube roots are integers
that is to say (possibly a little reductively) they arent fractions or decimals
lusty sigil
the thing is for 27 and 125 u cant use 2
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trim spear
the thing is for 27 and 125 u cant use 2
u dont
27 is the cube of 3
125 is the cube of 5
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carmine cedar
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carmine cedar
Can someone help with the problem in yellow?
I'm utterly lost and don't know what should I do
Haven't tried anything yet
lusty mauve
I see, there's several ways you can start with this, the first step is to calculate the resultant first
you already defined Bx = 10, By = 0, Ax = 10, Ay = 10 which is great
lusty mauve
ohhh
carmine cedar
Hee gave the question
carmine cedar
Yep
lusty mauve
do you know how to get the resultants from the component vectors (Ax Bx)?
lusty mauve
The thing r = whole root a² + b² thing
ohh yeahh that's the final step though
that's the vector length
carmine cedar
And second?
lusty mauve
to find the resultant vector you add the component vectors together
so
(A+B) = (Ax + Bx, Ay + By)
carmine cedar
Is this for the first for second sorry I'm confused
First right?
Is it another method?
You there?
lusty mauve
Is this for the first for second sorry I'm confused
you find resultant x and resultant y first, then you do r = whole root a^2 + b^2
carmine cedar
Could you give 2?
lusty mauve
hmmm let me think, it's been a while since i did this sorry 😭
lusty mauve
no problem!
@carmine cedar
i redrew the components like these and then you have a triangle like this
and then you can use trigonometry to find theta
carmine cedar
Wait lemme understand
lusty mauve
sure suree
lusty mauve
oh no problem, because we're trying to find theta for the y axis
it's from the question, it's asking the resultant and the y axis right?
lusty mauve
But I have to eat
ahhh it's okayy
carmine cedar
OH
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marble quail
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marble quail
If i want to calculate |AUBUC|, how would i the easiest accomplish this?
If i sum the toal of A B and C i get 180 however... that means i need to subtract red green and pink, right?
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drifting sierra
If i want to calculate |AUBUC|, how would i the easiest accomplish this?
Not enough information
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marble quail
Not enough information
OH wow nel!! I missed you! How are you?
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OH wow nel!! I missed you! How are you?
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drifting sierra
OH wow nel!! I missed you! How are you?
I'm fine, did you not have any more questions?
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marble quail
Actually i did find another question i had
$D = {6q : q \in Z}$ and $A={2m : m \in Z}$ is the following true? \
$\overline{D} \subseteq \overline{A}$
My assumption was that it's true?
lusty sapphire
$D = \{6q : q \in Z\}$ and $A=\{2m : m \in Z\}$ is the following true? \\
$\over...
Use ${$
woven radishBOT
SWR
marble quail
Hmm i did but i'm not sure why it removes them
lusty sapphire
\ {
marble quail
ooh
drifting sierra
\{
woven radishBOT
Merineth
marble quail
There we go
drifting sierra
I don't think it is
lusty sapphire
Is $A\subseteq D$?
woven radishBOT
SWR
marble quail
No other way around
D is a subset of A
It's asking if it's true or false, but i'm not sure why it results in false?
drifting sierra
The complement of those would be :
continue
lusty sapphire
D is a subset of A
You mean complement of D is a subset of complement of A, which is true if and only if A is a subset of D, which is what I asked if A was a subset of D
marble quail
$\overline{D} = {1,2,3,4,5,7,8,9,10,11,13...} \
\overline{A} = {1,3,5,7,9...}$
woven radishBOT
Merineth
marble quail
And it's asking "Does D have every element that A have
oooh which is not true
missing 2 4
drifting sierra
And it's asking "Does D have every element that A have
Other way around (with complements)
marble quail
oh really O.O
drifting sierra
It's asking whether A' (complement) has every element that D' has
Which as SWR said is equivalent to asking whether D (not complement) has every element that A has
marble quail
I was under the assumption that $D \subseteq A$ meant D is a subset of A, meaning D has every element which A has
woven radishBOT
Merineth
drifting sierra
If a subset had every element of the superset and then more, it wouldn't be contained in the superset
The superset has some elements of the universe, and the subset has some elements of the superset, and no more
marble quail
If $A = {1,2,3,4}$ and $B = {1,2}$ then $B \subseteq A$ ?
woven radishBOT
Merineth
drifting sierra
Ye
All of B's elements are also in A. That has the opposite meaning as "B has every element that A has"
drifting sierra
Just remember that a subset is smaller than its superset, hence the prefixes
marble quail
**Merineth**
Every element in D is not in A
Meaning it's False?
Would that be the right thought process?
marble quail
Okay nice
marble quail
Just remember that a *sub*set is smaller than its *super*set, hence the prefixes
Yeah this is a good way to remember it
FInished my discrete math for today c:
tsym 
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uneven nacelle
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granite arch
let x be the population 4 years ago
x times 1.1 times 1.1 times 1.1 times 1.1 = 50000 (because its growing at 10 percent per year)
equivalently x*(1.1)^4 = 50000
gritty badger
How to solve the equation
let 50,000 be 100% search how much is 10% is equal to then remove 50,000 from that number *4
uneven nacelle
let 50,000 be 100% search how much is 10% is equal to then remove 50,000 from th...
10% will be 5000
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olive snow
uneven nacelle
So 50,000(1-10/100)4
uneven nacelle
So 50,000(1-10/100)4
Is it right?
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uneven nacelle
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chilly kayak
Hi
chilly kayak
Suppose a box on a frictionless ramp is being pulled by a rope with a tension of 350 N
making an angle of 50° to the horizontal ground. If the angle of incline of the ramp is 20°, and the box is pulled 5 m, determine the amount of work done. Hint: Draw a diagram and use vectors to represent the situation.
I need help making the diagram
acoustic helm
Start by drawing a floor, ramp and box then add the rope
chilly kayak
This is what I have done
But i dont know how to make a diagram and adding rope and stuff
acoustic helm
The incline of the ramp is 20° not 50°
chilly kayak
Then where do i write 50
acoustic helm
50° is the angle between the rope and floor
chilly kayak
Can you show me on a piece of paper or something how to make a diagram i am a visual learner
Please
acoustic helm
I don’t have paper on me
First, redraw what you have but with 20° angle on the ramp
acoustic helm
Now you are told the box is being pulled by a rope, so draw a rope attached to the box at roughly a 50° angle to the floor
chilly kayak
I dont have anything to measure 50 angle
acoustic helm
The rope will be pulling the box up, so it will be attached to the right side of the box
It doesn’t have to be exactly 50°, a diagram is just there to help you visualise roughly what is happening
chilly kayak
Opposite of what i did right?
acoustic helm
Yeah
acoustic helm
What?
chilly kayak
Where does 30 degree go?
acoustic helm
Let me get my phone so I can draw on your diagram
chilly kayak
I know my calculations are right just the diagram is troubling me
acoustic helm
urban palm
i was pinged here
chilly kayak
i was pinged here
Idk who did that
acoustic helm
The box is pulled parallel to the slope of the ramp. The angle between the rope and the direction the box is pulled is then 30°
acoustic helm
The 350N is the tension on the rope, not the weight of the box
chilly kayak
Then what is the weight of the box
acoustic helm
The angle of the ramp is still 20° yeah
You aren’t given the weight
Based on the question you gave
acoustic helm
The 50° is the angle the rope makes with the ground, what you have is a bit ambiguous
chilly kayak
But it is the same as yours
acoustic helm
acoustic helm
But it is the same as yours
I extended the line down of the rope to try to make it clear, though i will admit it is still a bit unclear
chilly kayak
Ok the line near the 30 degree is 350 N right
acoustic helm
This diagram shows what the angles would be for each component
Yeah that would be the rope
chilly kayak
Ok can you check my calculations are right i think i got the diagram
acoustic helm
Where did the cos 0 come from?
chilly kayak
chilly kayak
Where did the cos 0 come from?
Idk
but it doesnt mean anything since it equals 1
I can remove it
chilly kayak
Ok final look at my diagram
acoustic helm
Diagram looks good
chilly kayak
thank you
acoustic helm
Pretty weird you did this without drawing a diagram first
chilly kayak
can i add you as friend i really need your help on maths
acoustic helm
Don’t see that very often
I’m not as active as I used to be so no point really
You’ll get help much faster asking on the help channels here
acoustic helm
Sure
chilly kayak
Add the following vectors using trigonometry (i.e., cosine and sine laws).
a. 7 m/s [N30°E] and 2 m/s [S17°E].
acoustic helm
The N30°E notation is the angle from north on the direction East
And for trig, we want the angle from +ve x going counter clockwise
Let me draw the first one as an ex
chilly kayak
60
acoustic helm
Yeah, now use trig to decompose the vector into a sum of its x and y components
So what would the coefficient of the x component be?
chilly kayak
7cos30
acoustic helm
Not 30
chilly kayak
60
chilly kayak
Ok and then what is the next part
acoustic helm
Now do the same for the y component
chilly kayak
2sin17
acoustic helm
I mean the y component of the 7N30°E vector
chilly kayak
Also my teacher wants me to do it in cosine and sine not componenets
Add the following vectors using trigonometry (i.e., cosine and sine laws).
a. 7 m/s [N30°E] and 2 m/s [S17°E].
acoustic helm
I mean the question just says using trigonometry, which you are
chilly kayak
But he doesnt want components for this question he gave another question with components
What should i do?
chilly kayak
ok
acoustic helm
What do you get once you add the components of both vectors
acoustic helm
So what is the resulting vector in ax + by form when you add those components to the other
chilly kayak
do i need to calculate what 2sin17 is for that
Idk how to calculate resulting vecor in ax+by form
acoustic helm
You can just leave the terms as they are
chilly kayak
would it be 7x+2y
acoustic helm
The x component would be the sum of the other 2 x components , same with the y
chilly kayak
x component = 7sin30 + 2sin17
acoustic helm
So you have
(7sin30 + 2sin17)x + (7cos30 + 2cos17)y
chilly kayak
Oh
acoustic helm
x component = 7sin30 + 2sin17
Yeah
acoustic helm
This is what my teacher gave me
This would be the components of the purple vector here
chilly kayak
ok what next
acoustic helm
Now we convert to magnitude direction form
Start with magnitude, how would you calculate it?
chilly kayak
square root of x2 + y2
chilly kayak
From direction meaning tan
acoustic helm
Yeah, so what would the equation look like
chilly kayak
I have to calculate the magnitude i will find it out in a minute
63 degree i found
Magnitude is 8.9
Equation will look like 8.9 m/s [N 63 E]
acoustic helm
This is what my teacher gave me
Looking at this diagram, specifically the purple vector, does 63 degrees make sense?
chilly kayak
no
acoustic helm
You sure?
chilly kayak
I am not sure about this tbh
acoustic helm
👍
chilly kayak
Ok so final answer is 8.9 m/s [N 27 E]
acoustic helm
Yeah
chilly kayak
Thank you
no one helped me like you did in this server i would appreciate if you accepted my friend request but it is okay
acoustic helm
Also, always draw a diagram for these questions
chilly kayak
Diagram are the toughest thing to do for me
acoustic helm
Because the inverse tan function will sometimes give you an angle that results in the wrong quadrant
So you would have to adjust by adding/subtracting 180°
chilly kayak
Ok i have only 2 questions to do i will try them and then come back if needed
acoustic helm
And its easiest to see when that is necessary if you draw a diagram
Sure, ping me if you get stuck
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gusty nexus
Sorry for my paint skills, question is not in English so I had to do it like that.
I have no idea where should I start or what should I do
devout snowBOT
Sorry for my paint skills, question is not in English so I had to do it like tha...
lusty sapphire
First, Find what A and B converge to. That will make life easier.
gusty nexus
First, Find what A and B converge to. That will make life easier.
not very used to "converging" but I guess I have to learn it for being able to solve this question right?
lusty sapphire
You don't "need" it
vale estuary
you could also write both in summation notation and compare them
lusty sapphire
If you write them both in series notation, that will help
gusty nexus
you could also write both in summation notation and compare them
like that?
violet wind
Yeah
violet wind
Well, there's 2 differences between the summations
Try to address one of them at a time
gusty nexus
Well, there's 2 differences between the summations
the initial value of n and the functions are different
gusty nexus
What does making the initial value 1 instead of 2 do
Increases the value of A by 1?
Oh
lusty sapphire
Looks good
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viral hornet
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viral hornet
I solved the assignment
It's to find the increment to the function from start point x=3
$f\left(3\right)=\frac{1}{13\left(3\right)}+13\left(3\right)=\frac{1}{39}+39=\frac{1}{39}+\frac{39\cdot39}{1\cdot39}=\frac{1+1521}{39}=\frac{1522}{39}$
woven radishBOT
DisplayName
tender cobalt
so its easier to screenshot instead of just copy-pasting the same math
viral hornet
True
I found out that now, especially when you pointed it out also
But on the other hand, it may help that people can copy the latex code too
tender cobalt
no it doesnt
viral hornet
they cant do that from a screenshot
tender cobalt
this is too long and specific to be usable
viral hornet
ok, look away from latex, and look at the screenshot
tender cobalt
you still havent said what the problem was
viral hornet
It's to find the increment to the function from start point x=3
tender cobalt
that is not english
use a machine translator and try again
are you simplifying $\frac{f(3+h)-f(3)}h$?
woven radishBOT
mtt
viral hornet
I apologize that my english is not the greatest, especially when it comes to mathematical terms. our danish terms are sometimes quite different. machine translations doesn't help much unfortunately.
$\Delta f$
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DisplayName
tender cobalt
are you simplifying $f(3+h)-f(3)$?
woven radishBOT
mtt
tender cobalt
yes or no
tender cobalt
you shouldve said so
additionally
showing work does not display this adequately
especially from work like yours, its customary that it doesnt show the problem at all
you need to explicitly state the problem
tender cobalt
instead of this
with that out of the way, a lot of this work can be condensed for a few reasons
tender cobalt
yes, because it is a statement of the problem, which I asked for
also
did you notice I was replying to a different message?
tender cobalt
I know youre not new to discord: the reply on here is a standard way of referring to a previous message
so in this case, its a shorthand for saying: "like this"
viral hornet
I know youre not new to discord: the reply on here is a standard way of referrin...
Ok it didnt show that. Only now that you pasted the screenshot of it is it shown
tender cobalt
are you viewing discord through IRC?
noticed you stopped typing, lets move on
@viral hornet you now need to state which principles youre going to retain in condensing the work
so far theres a calculator-heavy solution that cheats the problem which your work shows youd rather not do
viral hornet
I stopped because I got really turned off by you condescending attitude and I was thinking about how or what to say to you in a way that didn't make it sound like I was piss sour salty about it
tender cobalt
you need to sound true
you dont need to sound polite
this is not a professional setting
whats more important is that we're communicating openly
dire forge
Okay mtt I think you should step away
I don't think you're making the situation better
I can take a look at the problem
viral hornet
thank you
dire forge
Is this your solution? It looks good to me besides the "h=9" part; I'm not sure where that came from
viral hornet
Is this your solution? It looks good to me besides the "h=9" part; I'm not sure ...
h=9 was a control test to check if the value was equal
dire forge
ah okay
So, you can save some time if you don't simplify fully in the beginning
Like for example when you calculate (f(3)), you simplify it all the way down to (\frac{1522}{39})
woven radishBOT
biased_estimatERIC
viral hornet
I know the final conclucions and result is correct. But the calculation steps I took I feel maybe I took complicated unnecessary steps
dire forge
But you can actually save some time if you leave it as (\frac1{39} + 39)
woven radishBOT
biased_estimatERIC
dire forge
or even
viral hornet
ok yes
dire forge
[f(3) = \frac1{13(3)} + 39]
woven radishBOT
biased_estimatERIC
dire forge
And then when you go to calculate f(3+h)
you can similarly leave some stuff unsimplified to get
[f(3+h) = \frac1{13(3+h)} + 39 + 13h]
woven radishBOT
biased_estimatERIC
dire forge
and then when you subtract them, certain things cancel
like you can just cancel out the 39s
and then you can factor out the 1/13
so it'll look like
[\begin{split}f(3+h)-f(3) &= \left(\frac1{13(3+h)} + 39 + 13h\right) - \left(\frac1{13(3)} + 39\right)\
&= \frac1{13}\left(\frac1{3+h} - \frac13\right) + 13h\end{split}]
viral hornet
so a key idea is when I see 39 and 13 to recognize that 3*13=39
woven radishBOT
biased_estimatERIC
dire forge
so a key idea is when I see 39 and 13 to recognize that 3*13=39
I would say the key idea is to think ahead a step and notice when things will cancel out
if they'll cancel out, you don't need to simplify them right away
viral hornet
Yes that makes sense
dire forge
like for example the 39s in this example cancel out, so you don't need to add 39 plus the fraction, which saves a lot of time
you never really have to work with large numbers at all for this question
dire forge
**biased\_estimatERIC**
(like the thing we ended up with here, every number is at most 13, so we never do any messy calculations)
and then simplifying the fraction is rather easy too
so I guess another key idea is, factoring stuff out like the 1/13 in this example often helps too
you get
[\frac1{13}\left(\frac{-h}{3(3+h)}\right) + 13h]
woven radishBOT
biased_estimatERIC
dire forge
and from there, you can simplify the denominator: 13 * 3 * (3+h) is the same as 39 * (3 + h), which is 117 + 39h
viral hornet
right, I need some practice with this then, to get a better understanding factoring out and cancelling out
dire forge
and then the annoying thing is that their answer choices aren't fully simplified, so you have to multiply the numerator and denominator still both by 13 I think to match one of their answer choices, but that should finish the question
viral hornet
I think that's some great help for me to practice on now, thanks a lot for the help!
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dire forge
You're welcome!
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sage pawn
How to find this sum
devout snowBOT
How to find this sum
proud perch
let's see if we can do some magic here
sage pawn
Also I don't mind if you give me some identity even though I don't understand the whole story. Something similar to
Gamma(z)Gamma(1-z)=pi csc(piz) or something like that for example
proud perch
are you familiar with formal power series manipulations?
sage pawn
Give an example
sage pawn
I also like to point out this sum came from an integral
proud perch
trust the process
sage pawn
let f(x) = Sum x^n = 1/(1-x)
I understand this, it's a geo series
proud perch
then:
f(x^3) = Sum x^(3n) = 1/(1-x^3)
x f(x^3) = Sum x^(3n+1) = x/(1-x^3)
now we have 3n+1 in the power
by taking the integral we should be able to get 3n+2 in the denominator
,w integral of x/(1-x^3)
woven radishBOT
sage pawn
This is where it comes from but since I want to evaluate the integral I have to evaluate the series
devout snowBOT
@sage pawn Has your question been resolved?
wicked turtle
can't you evaluate the integral directly using partial fractions? or is this explicitly not allowed
sage pawn
I can but Wanted to see if it was possible to find the series as if I didn't mention it came from an integral
tender cobalt
and one way to find the series is to... write the series as an easier integral
sage pawn
I could be wrong but there has to be some other way
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devout snowBOT
@sage pawn Has your question been resolved?
wraith isle
hi
devout snowBOT
@sage pawn Has your question been resolved?
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@sage pawn Has your question been resolved?
hazy leaf
just timeout already
severe compass
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severe compass
anyone can guide me through this question
proud perch
,w pi*1/6^2
woven radishBOT
sand dove
anyone can guide me through this question
try to cover up this square with the least amount of circles (of radius 1/6) as possible
severe compass
do i need to calculate the whole circle
sand dove
wdym?
severe compass
oof
sand dove
you don't have to redo the whole filling
just put more circles
over the areas unfilled
sand dove
yeah, and the objective is to draw circles (that can overlap)
such that
every point of the square
severe compass
do we still apply the pigeonhole formula
sand dove
is at least in one of those circles
sand dove
do we still apply the pigeonhole formula
we can't right now, you haven't filled the whole square yet
sand dove
we know that pigeon is 51 and x is pigeonhole
well x = ?
that's the issue
x is the number of circles you need
sand dove
from this
you "drew" 9 circles
now find the areas that aren't covered by the circles
and see how many circles it takes to patch them up
severe compass
got it the edges right?
sand dove
got it the edges right?
the edges of what
severe compass
in the box we put the circle
and there is area havent fill up
which is the 4 edges
sand dove
the 4 edges of a small box of side 1/3 yes
now just recall
that we want to use as few circles as possible
so be mindful about where you place the next ones
sand dove
oh we don't care about the area that's filled a lot
we just want it to be filled
100%
plus it doesn't matter to count the area
since circles will overlap
etc...
severe compass
hmmmm
i got 0.2146018366 for the remainder + 1/4pi which is the total of 9 circles = 1 unit
severe compass
so i didnt have any correct answer yet from what i given right?
am i almost there
sand dove
ok what you need to do
stop calculating the area
and just draw circles
to fill the whole 1*1 square
sand dove
?
severe compass
is one circle enough
sand dove
the circle should be exactly as in this drawing
sand dove
is one circle enough
circles of radius 1/6
severe compass
severe compass
9 circles
sand dove
i'll let this slide
severe compass
with circles?
sand dove
yeah it's like this drawing
severe compass
2.46 circles
sand dove
just put a circle over it
sand dove
2.46 circles
how are you gonna put a not whole amount of circles
severe compass
we need another 2.46 cirles to filled up
its kinda hard
@sand dove like this?
sand dove
yep you did it
sand dove
how many circles did you use in total?
severe compass
25
sand dove
and how many points are we considering in the square?
severe compass
3
sand dove
no in total
severe compass
51
severe compass
so using the pigeonhole formula
51/25
2.04
so ur saying in any possibilliteis
in 24 pigeonholes theres 2 pigeons in each hole
and any remainder holes theres 3 pigeons
sand dove
we don't know about the other ones
we just know
there's one pigeonhole
with at least 3
since 51/25 is 2 + some non zero remainder
severe compass
damn the question is quite tricky
i thought we have to calculate
and all but instead how you shown me is kinda easy
@sand dove thanks alot btw
thin igloo
which is the cardinality of a perfect set compared to the cardinality of R ?
thin igloo
if i have understood correctly they have the same cardinality with continuum hypothesis but what if we dont take continuum hypothesis? which one is bigger ?
sand dove
if i have understood correctly they have the same cardinality with continuum hyp...
if continuum hypothesis is taken to be false, then since a perfect set is a SUBSET of R, it's gonna be smaller
that is if you find a perfect set that's not the cardinality of R
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ember palm
hey guys, would like some help with a very simple doubt
a. value of vehicle = 116,000
b. down payment = 10,000
c. each installment = 4,270
d. loan period = 3 years
e. the installment is paid monthly
Question. to find the annual rate of interest
would like help in 2 doubts here
- i think we first exclude 10,000 then calculate for the interest, aka the principal is 116000-10000=106000. so am i correct?
- pls guide me in solving it to the exact interest amount if possible
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hey guys, would like some help with a very simple doubt
a. value of vehicle = 11...
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ember palm
.reopen
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ember palm
lmao did close it by mistake
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ebon rose
$$L\left(x\right)\ =\ f\left(a\right)\ +\ f'\left(a\right)\left(x-a\right)$$
woven radishBOT
Thyroxine
ebon rose
$$\tan\left(46\right)\ =\ \tan\left(45\right)\ +\ \sec^{2}\left(45\right)\left(46-45\right)$$
can someone tell me what i am doing wrong here, my final answer comes down to 3
but thats very far off from 1
the answer should be very close to 1
i used 45 for my choice of centre because tan 45 = 1
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Thyroxine
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<@&286206848099549185>
opal mural
sup lil homie
oh
this one
well my lil homie
this only works
if u got in radians
not degrees
use pi/4 instead of 45
or thats wat i studied lmao
just try it out
its called the SI unit of angles ig
@ebon rose
ebon rose
Ah i used radians and got a better answer thank you!
i thought if i just kept it all in degrees it would work but ig not
opal mural
yeah cool
vivid ember
can you please take a look at my work and answer and let me know if it is correct?
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can you please take a look at my work and answer and let me know if it is correc...
jaunty mantle
,w d/dx x^2(1-x^2)^4
woven radishBOT
jaunty mantle
Yep looks good
vivid ember
but my answer has postive 2x
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vivid ember
can someone please asist with this question?
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can someone please asist with this question?
feral agate
Do you know what that notation means?
vivid ember
integrate the second derivative multiple times to find the original function and then evaluate it at t=1?
woven radishBOT
kheerii
feral agate
Where n is a natural number
vivid ember
is f^(5)(1)= -12?
feral agate
Sounds about right
vivid ember
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long prawn
Can someone help with this question ? I don’t understand it at all
foggy vault
first find the limits of then x = -1 and when x = 1 (right hand side)
long prawn
first find the limits of then x = -1 and when x = 1 (right hand side)
right hand side for -1 is approximately 2.1 or 2.2?
And for when x=1 it’s approximately 0.9?
long prawn
uh for -1 we just need the regular double-sided limit
Which is 2?
foggy vault
Yep
foggy vault
And for when x=1 it’s approximately 0.9?
Just 1
Its technically 0.9 repeated forever
long prawn
Yes which is just 1
foggy vault
And using summation you can prove that 0.9 repeated equals 1 so yeah
then just substitute those into the equation and solve
foggy vault
mhm
long prawn
Can someone help with this question ? I don’t understand it at all
But there is no -3 in the options
foggy vault
uh 2 - (3/2)*1 but yeah
foggy vault
But there is no -3 in the options
I think you wrote it wrong
2 isnt multiplied by 3/2
foggy vault
yep
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mossy forge
help i don''t understand what im doing wrong i know the exterior angles of a triangle is 360 but ??? if a+b+c = 180 is the inside angles of the triangle then 360-a is not the exterior angle? then 360-a+360-b+360-c=1080-a-b-c = extrerior angles but then that equals 900??????????
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help i don''t understand what im doing wrong i know the exterior angles of a tri...
north badge
help i don''t understand what im doing wrong i know the exterior angles of a tri...
can you understand the definition of an exterior angle first
eager nova
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rose rock
I think I'm pretty close. My idea is to find an expression relating x and b
b is the side opposite to point B btw
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I think I'm pretty close. My idea is to find an expression relating x and b
b is...
rose rock
I have triangle BOM which has 4x as a side length but I can't do much that without an angle
dense lynx
I have triangle BOM which has 4x as a side length but I can't do much that witho...
power of a point
rose rock
First I've heard of that but the concept seems simple enough. I'll have a deeper look. Thanks!
rose rock
power of a point
Alright, that was a very helpful hint. Thanks
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rose rock
rose rock
Just noticed my mistake
rose rock
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scenic surge
For this question can I just find the lim along 2 different paths
y = x and y = -x and show that both of them arent equal to each other so thats why the limit DNE so its not cont at (0, 0)
scenic surge
or is there more to it
sand dove
no that's it
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rocky shadow
did I do this right, the question was A man walked 440 m [50.0° N of E] and then 580 m [5.0° S of W]. The entire trip took 150.0 min. whats his displacment.
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did I do this right, the question was A man walked 440 m [50.0° N of E] and then...
rocky shadow
rocky shadow
<@&286206848099549185>
stable storm
i believe you’re adding the wrong components together
looks you added the y and x the components rather than both the x’s
rocky shadow
looks you added the y and x the components rather than both the x’s
oh alr
rocky shadow
looks you added the y and x the components rather than both the x’s
wouldnt sin(5)-580 be the y component though?
rocky shadow
<@&286206848099549185>
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visual hazel
did i mess something up in trying to prove the least squares regression equation
visual hazel
heres the expected result
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visual hazel
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visual hazel
<@&286206848099549185>
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<@&286206848099549185>
opal mural
Tf is this lol
visual hazel
tried deriving it for myself but fell 1 foot short from the result i wanted
opal mural
Oh
Wat is regression??
I heard it somewhere
In python
Is it like opposite of progression? U go backwards?
opal mural
Exactly
Underfitting superfitting
These I studied in AI
I wish there's an option to ping Helpers role using and command
Like Helpers AND Undergraduate Math
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zinc pewter
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trail eagle
It's just rotated. The origin is here and the axes are outside the box to prevent writing them on the actual shape
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hollow oriole
d
fervent cloud
I think you should post original question
As people that help you may not be here now
Someone else might help you now
hollow oriole
Phone Email Total
Dinner dance 65 135 200
Total ...
0.675
hollow oriole
Someone else might help you now
thnx
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@hollow oriole Has your question been resolved?
hollow oriole
nvm it's 2.025
P of email given picnic= P of email and picnic/ P of picnic
(135% * 3/4) / 1/2
The table above shows the distribution of preferred activity, in percent, for each response type used.
For the survey, the number of email responses was as thrice the number of phone responses. If a person who preferred a dinner dance is selected at random, what is the probability that the person responded by phone?
Phone Email
Dinner dance 65% 45%
Football 15% 45%
game
Picnic 15% 3%
pool
Party 5% 7%
Total 100% 100%
P of email given picnic= P of email and picnic/ P of picnic
P of email given picnic= (135% * 3/4) / (2/4) = 2.025
Phone Email Total
Dinner dance 65 135 200
Total 100 300 400
135*3=
405/200=2.025
It works 🎉🎉🎊
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mental wagon
What do I do next?
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What do I do next?
woven radishBOT
meager yarrow
What do I do next?
Here notice that $\frac{7t-3}{9-t^2}=\frac{7t-3}{(3+t)(3-t)}$
woven radishBOT
Ciceròn
mental wagon
yea?
mental wagon
winter patrol
where's arcsin coming from
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winter patrol
but you don't have a square root there
mental wagon
but you don't have a square root there
then what do i do
mental wagon
I used this
use the top most formula from here?
,w integrate (5t^2 -3t +18)/(t(9-t^2))
woven radishBOT
mental wagon
,w definite integral of (5t^2 -3t +18)/(t(9-t^2)) from t=1 to t=2
woven radishBOT
winter patrol
yeh, that's the end result of factorising/decomp/log integral
rose rock
then what do i do
If the term hyperbolic doesn't ring a bell then I'd do what Ciceron suggested
mental wagon
If the term hyperbolic doesn't ring a bell then I'd do what Ciceron suggested
ive never done hyperbolic sub
so i got no ide abt it
rose rock
**Ciceròn**
That's alright. Just trying decomposing this
kind tiger
<@&268886789983436800>
mental wagon
<@&268886789983436800>
Did I do anything illegal
kind tiger
not you
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spring oak
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spring oak
@polar chasm
polar chasm
<@951190447185874994>
Okay, so how did you get D?
spring oak
i multiplied them with scalers ane tried to match it like for option a first element is 2 so i multiplied by -3 to third vector and add it with second so it gives
2-3+3
First element is matched but all others are different
polar chasm
yeah, but what if there were some other scalars, that would match them all?
polar chasm
you need to prove that though
polar chasm
i multiplied them with scalers ane tried to match it like for option a first ele...
and this is insufficient, this only shows that it doesnt work when the scalars are 1, 1 and -3
polar chasm
to actually prove that it's impossible (or find scalars for which it is possible), try setting up equation like this:
c1 * x + c2 * y + c3 * z = A
now if you can solve for c1, c2 and c3, then you have found your scalars
otherwise, if there is no solution, it must be impossible
polar chasm
to actually prove that it's impossible (or find scalars for which it is possible...
btw this equation can be written either as a linear system, or in a matrix.
To write it in matrix, let the columns be x, y, z and the augmented column will be A
polar chasm
to actually prove that it's impossible (or find scalars for which it is possible...
to write it as system of equations without vectors (with just 1D variables), we can focus on the individual entries of vectors x, y, z
for example first entries must match. So we get
c1 * x1 + c2 * y1 + c3 * z1 = A1
Since we know the first entries of x, y, z and A, we can actually simplify that.
2*c1 + 3*c2 + (-1)*c3 = 2
and we can get the other equations from other entries
e.g. with the 2nd entries we would get
1*c1 + (-1)*c2 + 0*c3 = 3
or we can simply write it in a matrix
woven radishBOT
MæthIsAlwaysRight
polar chasm
I hope I transcribed it correctly, the columns should be x, y, z and the last one is A
hazy leaf
looks right
polar chasm
@spring oak Are you here? I'll have to go soon, so i'll just leave this here for you to read. I hope you can solve it with that
polar chasm
**MæthIsAlwaysRight**
solutions to this will be the scalars btw
if there are no solutions, then A is not in the span of x, y, z
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polar chasm
<@&268886789983436800>
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fierce heath
1259137319714291786
polar chasm
<@&268886789983436800>
(there was a 1 + 1 question, OP deleted it)
analog steppe
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stiff crater
this might be the hardest question in the century i can't solve this for hours...
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this might be the hardest question in the century i can't solve this for hours.....
solar goblet
what have you tried?