#help-0
1 messages · Page 640 of 1
you have six faces here
ann can explain
two trapezoids and four what appear to be rectangles
this is a right trapezoidal prism right?
what the flippy is a trapezoid
a shape with one pair of parallel sides
these words are too big
sometimes called a trapezium
wait ill type you what i did please correct me
oh
you should include that next time, makes the helpers' job this much easier
anyway, brb for a few mins but im still here
(12.5^2)+(9.2x5.3)+(6/2(9.2+12.5))+(6/2(12.5+5.3))
=323.51
way off the answer
im pretty sure its somthing wrong with the trapezoids
Anyone here knows matlab?
@ornate yarrow i do, but we'll need to move to another channel
Which one ?
@small holly are you told that the top face is a square?
im guessing it is
somewhere that's free
Ok
wouldnt they have just given me another integer if it was a rectangle
can someone help me write a reflection
okay i might have to go now
but uh. try not to kill two birds with one stone ig
work out the area of each face separately THEN add them up
alright
It has Fibonacci numbers in the answer.
n: 0 1 2 3 4 5 6 7 8 9 10
fib(n + 1): 1 1 2 3 5 8 13 21 34 55 89
fibcalls(n): 1 1 3 5 9 15 25 41 67 109 177
How does the fib(n + 1) line change to the fibcalls(n) line?
yea
My country will be in first time
anyway
do you know how to solve this easily?
@alpine sable It's the number of parts you're dividing the year into.
How many parts are you dividing the year into if it's quarterly?
No.
That's how big a part is.
How many parts?
Right.
So, n is 4.
What's t?
No.
What does t stand for?
No.
Right.
Do we know how many years?
Right.
What's P?
what are the points of discontinuity for this
Ask somewhere else, this channel is busy
A is the total amount you have after t years.
How do I draw the graph
@left gate Sorry, channel is busy.
No.
What's the total amount you expect to have at the end?
What?
Do you understand how bank accounts work?
Do you know what principle and interest are?
Principle is the amount you first put in a bank account.
Interest is the extra money the bank gives you.
Principle plus interest is the amount you have after a certain amount of time.
Yes, A is the amount you have after a certain time.
It's the principle plus the interest.
Right.
So, what's your formula with the variables you know filled in?
Right.
So, how do you solve for t?
No, I don't mean to ask a computer to do it for you, because that won't teach you how to do it.
I mean to use algebra to do it.
Chai T. Rex
What can you do to get rid of part of the right side so that we're closer to t by itself?
bro?
Divide by 400 so its a bit simpler
you divided P by itself (400/400) so it cancels it out
and what you do on one side you do to the other
so it becomes 2300/400 = (1+0.07/4)^4t
ok then
U can even make simpler by cancling the 00 so its 23/4 = the rest
Why? Xd
We are simplifying it we didnt find the answer yet tho
Lemme cheack ma methoed since am not 100% sure
Take the logarithm of both sides to move down the exponent
I think he/she does not know logarithm
@unborn leaf Sorry, we don't help with exams.
@unborn leaf it is occupied
<@&268886789983436800> exam @unborn leaf
ty
👍
what a speed lol
@alpine sable knock it off
There isn't really another way to solve for t though
It's either use the logarithm or let the computer do it for you
btw, @alpine sable are u done with your question?
they are done with their question 
What does the range mean?
you mean median?
Read that wrong
@harsh acorn Well, I solved it, I think.
Can you explain me how did you solve?
Well, the lowest number is 70 less than the highest number.
So, you want the lowest number to be somewhat high.
Did you get 138
No, I got lower.
Oh
Oh, now I've got 141.
Does nine 68s, fifty 69s, sixty 70s and 138 work
Oh, I can't be right on the 141.
😅
it does work but idk it is the maximum value
Max is 140
And if the minimum of your set is 69 you can only get to 129
Or 127 or something
how did you get this
Right, that's what I got to.
So then try setting minimum to 68
okay, can someone explain me properly please ;p
Okay right sry
So you know 70 needs to be attained
Cause it's the mode
If 70 is attained and the range is 70 then the maximum element can't be greater than 140
But if your smallest element is 70 then the restrictions force everything to just be 70
So then try smallest is 69, and you want the numbers to be as small as possible so that the max can 'balance' it out by being large
Listed in order it has to be 59 numbers, then two 70s, then 59 more
So if smallest is 69, and you want the sum excluding the max to be the smallest possible, you'd have fifty-nine of 69s, and sixty of 70s
Then the mean =70 condition gives the max element can only be as large as 129
So now we know that 139 is impossible because it requires the minimum to be 69, which we showed can't work
Then we try minimum is 68 and hopefully we can construct 138
Okay, I didin't understand the part that 140 is the maximum possible value
So in the extreme case, 70 is the smallest
Then the range is 70, so 70+70=140
...I haven't done something completely stupid have I
hopefully not...?
Well 140 is not possible, I meant it as in an upper bound (which we then showed to be unobtainable)
Does this make sense??
@harsh acorn Are you still there
still thinking to understand
Oh cool 🙂
@knotty sleet Can u explain again that why it is not possible to be 69-139
Solve for x.
Chai T. Rex
Oooh that's right
Thanks @oak chasm 😄
No problem.
Chai T. Rex
For 68, you can say, let there be n of 68, and (59-n) of 69, and sixty of 70s, add 138 and set the sum of all that to 70*120 and solve for n which gets 9
Exactly^^
How did you change the background colour?
,texconfig colour
Your LaTeX colourscheme.
Current value: Using the light colourscheme
Default value: Using the grey colourscheme
Accepted input: One of the colourschemes listed below.
white: Pure white background, with black text.
light: Very light grey bckground, with black text.
grey: Discord-grey background, with white text. (Recommended)
darkgrey: Dark grey background, with white text.
dark: Dark background, with white text.
black: Pure black background, with white text.
transparent: Transparent background, with white text. (May cause issues)
trans_black: Transparent background, with black text. (May cause issues)
,texconfig colour light
You have switched to the light colourscheme.
No problem.
"Given that the mean, median, range of 80 integers are also 45. If A is the largest integer among those 80 integers, what is the maximum value of A?"
so the maximum value is 90
90 cant be it bcs 45,45 (79times), 90's mean is not 45 obv.
89 cant be it bcs 44, (39 times),45 (40 times),79's mean is not 45
,texconfig colour darkgrey
You have switched to the darkgrey colourscheme.
@knotty sleet You can test out all the combos in #latex-testing. See what they look like.
now, when i check 88, will be numbers like 43,44 (38 times), 45 (40 times) and 88 or 43, 45 (78 times), 88?
Ohh nice
,w solve (a 44 + (79 - a) 45 + 1 89)/80 = 45 for a
So, that's not going to work.
uhm what these things mean :d
Well, it misinterpreted.
,w ((a*44) + ((79 - a)45) + (189))/80 = 45
There's the solution.
But it doesn't work.
It needs 44 instances of 44, which means the median will be 44, not 45.
so answer is 88
,w ((a43) + (b44) + ((79 - a - b)45) + (189))/80 = 45 && a + b < 40
,calc (5 * 43 + 34 * 44 + 40 * 45 + 1 * 88)/80
Result:
44.9875
@harsh acorn There, that's a solution.
Given that the mean, median, range, and the only mode of 300 integers are also 168. If A is the biggest integer among those 300 integers,what is the maximum value of A?
i get 166
I want to check that I understand the concept
@oak chasm
If the median is 168, there must already be integers higher than 166.
For example, 168 is one of the integers which is higher than 166.
so it is not 335
Looks like it is. Let's see.
,w (a166 + (299 - a)169 + 1*334)/300 = 168
,calc 299 - 167
Result:
132
what does 299 represent there?
,w (a166 + b167 + (299 - a - b)168 + 1334)/300 = 168 && a + b < 150
299 is count of the numbers that aren't the max.
nono i mean what does it mean now? is 334 right? I didin't get anything from bot's answer
s answer
So, there's a solution.
Oh good I think i get the concept
Hello for this question
I answered d. But the correct answer is B. How can you solve that?
consider the locations of the peak and trough
Notice that the distance between the peak and the trough will be half a period
Ah okay ty
but does it give like the solution too?
Hi, sorry if this is a dumb question (I think it is) but I've just started learning maths and my instructor has just said this:
"every fraction has three signs associated with it.
One out in front one in the numerator and one in the denominator.
And you can change any two signs of the fraction without changing the value of the fraction and sometimes
that can be useful"
So can I literally change any 2 of 3 signs? Could I change one of denominator, one of numerator ? or one of the front and one of denominator? or one of front one and one of numerator ?
instead of blindly changing signs, you should understand the reasoning behind it.
i.e. multiplication by something equivalent to 1
wdym
Look at the input and the response.
Well the vid I'm watching it needs to find a common denominator so instructor changed
- x + 3 to
- (-x + 3)
@gray isle
There's only two signs tho, one in front, idk where do we have denominator and numerator in this
$\frac ab \times \frac{-1}{-1} = \frac{-a}{-b}$
ℝamonov
$-\frac ab = \frac{-a}{b} = \frac{a}{-b}$
ℝamonov
guys quick question
wait i asked first
in double integrals, is the outer integral written with respect to the first d or the second d
outer integral and outer differential
ok ty
what is the mid point between 15.8 and 21.8 on a measuring scale
im getting confused
wrong
ok so how is it incorrect
so is this incorrect?
I don't officially know, I believe it's outer and outer.. but I could be wrong
ok
try asking in #multivariable-calculus
aight ty
please its due today
its a 20 mark project
wait
i got an idea
bruh
just find the average. ..
yes, it is outer and outer
so 18.8?
should i swap them then?
How is sin AOP’ = M’P’/OP
angle POP’ is a right angle
M’ and M are right angles too
What is this asking for exactly? https://cdn.discordapp.com/attachments/814880398739636284/848973915518140466/unknown.png
are you saying the emf formula itself is incorrect or you highlighted the integral and differentials incorrectly?
nothing wrong with the emf formula, idk if in this case its a typo cuz u just said outer integrals go with outer diff
Use the formula sin(pi/2+theta)=cos(theta)
U need to prove it using that figute
projection
angle AOP' = angle POP' + angle AOP
Yes
Do not use sum formula
Not established yet
You can't use this?
its doable without trig
He should try it by doing some projection or something
From what I understand, they are trying to prove that sin(AOP')=M'P'/OP, not sin(pi/2+theta)=cos(theta)
No
They have given that in the proof that sin(AOP’) = M’P’/OP
Channel is busy
the triangle OMP rotates by 90 degree to get P'M'O
Yes
-OM' = MP
yes
sin (AOP + 90) = MP/OP
Battery low i’ll have to figure this out on my own
i think you should blur out your name first
850/3 + 11/3y = 375
i know i gotta multiply both sides by 3
but do i do it twice or just once?
why do it twice?
well first for 850/3 then 11/3 right?
but doesnt that only get one division out of the way but there's two of them
Mosh
The key word mosh said is "sides", not each fractions
so like if its 700/3 + 400/3 + 293/3 + 544/3 = 500 do i just multiply both sides by 3 once?
bunny
hello, can you help me to find the remainder of 207! when divided by 209 ?
To get from cm^3 to liters? Yes
Isn't this already written in the decimal system?
https://artofproblemsolving.com/community/c6h342997p1834518 can someone explain the end result?
yes
So what are you asking?
because i got quite confused for a sec
lol
i think i complicated it too much
my logic was wrong
btw i wrote decimal instead of binary sorry
Are you asking if this number can be converted to binary or is this number a valid binary number?
Can someone help me please
Which question?
Use a protractor
It's not clear what you mean by your question
How do I find the sum measures
Add up all the angles to get a sum
i think this channel is free
so imma take it
f(t)=3⋅(0.95)^t, 0<t
how can i find the derivative of this
i already treid
saying that the outer function is: 3x^t
and the inner: 0.95
but then when i use this (f(g(x)))’=f’(g(x))⋅g’(x)
g’(x) becomes 0
cause constants are 0
and the whole thing becomes 0
cause its multiplied
im doing something wrong
That's not a valid function to use
No need for chain rule
How do o find the angles
oh ok
In the 2nd question
oh shoot
oh wait because there aint no variable its not valid. so i dont even need to use chain rule. but then how do i differentiate it. i really cant figure it out
Apply quotient rule
Rewrite the decimal as a fraction
consider expressing 0.95 as e^ln(0.95)
can someone help me figure out how to solve this?
use a protractor
It's an isosceles triangle
but cant i only use this there is division involved? i’ve never used the quotient rule, so its quite new to me
Make 0.95 as a fraction and apply the the exponent rule, where $$(\frac{a}{b}) ^x = \frac{a^x}{b^x}$$
dldh06
I’m done the 1st one, I needed help with the 2nd one
it's an isosceles triangle
Okay I thought it was done since they said ty
already did 🙂
Great :)
How do I go about solving this
I know the right answer as I looked it up but I can’t figure out how to get said answer, and I have a test tomorrow so I need to figure out how to do it
i dont know:&
BE is the altitude relative to DC
If you know BE and BC, you can use Pythagorean theorem to find CE
area you able to apply distance formula to calculate the length of DC?
can someone help me with this
Yes
and then apply formula for the area of a parallelogram
Let m be the mean and put the statement into math symbols.
60 = m + 1 sigma
45 = m - 2 sigma
You now have 2 equations and 2 variables so you can solve.
how are you getting that?
Actually might be 14
What does your diagram look like?
how are you getting 14
where |r| is 462.54
hoping thats correct at least
I don't think this diagram is right
what about it is incorrect?
You want to label the 210-degree angle and the 50-degree angle
It's hard to visualize where the 160-degree angle came from even though I know it's the difference between them
Try to use Paint or something
Now I’m getting -12 lol
so after i label everything, how do I find the resultant angle?
would it be this angle?
that's a complete mess. that's not representative of the distance formula
also issues with how ur applying the sqrt
I don't think that's it. The 45 km/h bearing is blowing at 50 degrees, so I think it's blowing northeast.
sry im confused
isnt that wind blowing FROM 50degrees?
so it would be going southwest
i think?
if im understanding the q properly
You need to draw a point as your origin. I assume the question is saying the wind is blowing northeast even though I'm not entirely sure, but that's based on the past similar problems I've seen.
I mean I'm not sure based on the wording. But I've seen a bunch of problems like this before.
here's an example from the online notes im using
Yes, you have to draw it just like that. See how they have the coordinate plane with the origin in the middle? And all the vectors are coming out of the origin.
oh ok
i figured the triangle formed by the two vectors was the only relevant information
and thought i could find the resultant angle based on that
since I was able to find the magnitude
ok so say we were using the above example, how would I find the resultant angle?
Draw a vector from the origin at 210 degrees and magnitude 420. This is the airplane. Then draw another vector from the origin at 50 degrees and magnitude 45. Then draw the third vector with the tail at the wind and the head at the airplane. Determine the angle and magnitude of the third vector.
I don't think the 160-degree angle you got earlier is correct because the difference between vectors doesn't work like that. You can't just subtract one angle from the other to get the answer.
so is it just coincidence that I got the magnitude correct?
this is my work for the magnitude
I didn't check if your magnitude is correct
cause i used the 160degrees in there
Don't use the 160 degrees for that
I don't think that's right
You can use the distance formula to get the magnitude
You don't need law of cosines
for the distance formula wouldnt you need to find the x/y components first
the question says to use geometric vectors as opposed to cartesian vectors
so i assumed they didnt want us to use the distance formula
cause that would involve cartesian vectors
I think we should use the same vectors as the one in the example notes
in the example they also used cosine law
Hey ! Can someone explain wilson theory to me ..Everytime i think i understand i find out that i have absolutely no idea how to solve the problem
The airplane is going at 420 (-cos 30 i + sin 30 j), wind is blowing at 45 (cos 50 i + sin 50 j)
Sorry for interrupting
it looks like in the example the blue angle is what they are using as the resultant angle
based on theta in this diagram
i just find this all really confusing
i suck at vectors
Resultant vector should be (-420 cos 30 - 40 cos 50) i + (420 sin 30 + 45 sin 50) j
To find angle of resultant vector do tangent, to find magnitude do Pythagorean theorem
yeah im pretty sure that is a way to do it
but im just trying to follow how the notes are doing it
and im getting quite lost
I think the notes are doing it the same way I am doing it. There is really only one way to do it that I can think of.
but in the notes they used cosine law to find magnitude
and then sine law to find the bearing
and im also not sure how that specific angle is representative of the bearing
Oh, I see now. I see how they use law of cosines. But you could also find it without law of cosines.
can you explain what you understand based on the notes?
i just want to do it the same way they are
in case i lose marks or something
Yes, it looks like they have three angles and two vectors, and they want to find the resultant vector based on that.
It takes practice to figure out
not sure what you mean :/
If you do enough of those problems and make enough mistakes, eventually you will learn
what?
so there's no logic here?
no intuition or anything?
that doesnt make much sense
So my trick is try both scenarios and see which one makes sense
You know whether you want the bigger angle or the smaller angle
that seems so odd to me
you would think there would be a definite way of knowing which the resultant angle would be
Quick request , can someone help me with 12 hw geometry questions? It’s a lot, so we can take it to dms if possible
<@&286206848099549185>
what is sigma
standard deviation
hey guys how do I solve problems with this method? I dont understand the book's explanation
This is the original problem
dividing d dollars by a apples gives the price for 1 apple. This is then multiplied by 20, as the question asks, to find, in terms of an expression, that 20d/a is the amount of dollars for 20 apples. I'm assuming the word apples is stricken out to simplify the expression and to show that d/a = the price of an apple.
I apologise if that's not helpful. I'm new.
It is really helpful and I do appreciate it, but I still don't understand the way the book did the problem, was hoping someone could elaborate on how that method works.
$a\text{apples}=d\text{dollars}\implies \frac{a\text{apples}}{d\text{dollars}}=1$
Mosh
so you get a conversion factor for units of apples and dollars
a car costs 10,2000 and depricates in value by 5% per year. How much will the car be worth after 5 years?
does anyone know this?
my calculator is fucking up
how much is it worth after 1 year?
after 5
yeah
i have two different answers
if you can do the 1 year, then repeating 4 more times you should get the answer
is it 7892?
oh 10200, yeah, that looks about the right magnitude
Hi, is this channel soon to be unoccupied, or will it be in use for a while?
Oh, thank you!
I'm having trouble with question 2b, the answer is in the second attachment, could somebody please explain the answer? Thank you :)
here the difference of two normally distributed variables is normal
so far you got that?
yeah
Okok yes i got that
so for B we have to do a very similar thing
to come up with the distribution of times
Yes
do you see how we can get the $P\left(z<\frac{-5+m}{6.403}\right)$?
Element118
or is that part somewhat unclear?
Like i sorta dont get why (5-m) is the new mean
That's the part that's stopping me
^^,
so originally it's 30-25
but now the 30 guy is now going m minutes earlier
so it's (30-m)-25
Ah
For curve sketching what do I do after this
Thing is though, how does going early help make you faster? I thought they were asking for difference in walking times
are you trying to sketch f or f'
Like you still take the same amount of time
it's about what time they arrive
originally they leave at the same time
Umm so basically I am sketching for the derivative
But I also have to find second derivative aswell
I need help
you might want to find the roots and plot where they are, as well as the vertical asymptote
and see the behaviour near that
afterwards if you are still confused about the general shape you can just plot random points until you are confident about the shape
$4\divisionsymbol 16=4$?
Element118
can 10 Bar-ba-loots eat off one tree?
do you understand the question?
Not really
how about 20? 30? how do you check?
yeah
Which meant they can eat from that time for 2 days
but we are looking for one day here
Oh yeah
because the next day it the same thing happens
Yes
They want me to find how many barbaloots can eat off of 1 tree
??
Am I right?
want to show how you got that?
Sure
Like I said I said they want me to find out how many can eat off of 1 tree then I look back it say 3 fruits PER DAY and there 63 and each tree but we talking about 1 tree here so then I do 63/3 equal 21
I also did 3/21
3x21 I meant
Sorry
yeah 63/3=21 yeah
Yes
and you can see $3\times21=63$
Element118
yeah looks good
Thank you so much
sin(theta) = opposite / hypotenuse
Wich triangle?
all of them
Oh that's all the answer?
yea
Oh tysm
um
wtf are these triangles
there are major issues with the lengths
these aren't remotely close to right triangles
Cause my teacher having issue online and don't know how to use well
you should probably clarify the questions
those right angle markings look so dodgy too
have you started stuff like cosine law yet?
Cause our lesson is trigonometric ratios
ugh..
i guess your best option here would be to erase a random side length from each triangle
actually I'll choose which one to remove
that'll let you use a different ratio for each question
Nope
Kk
wait a minute
those aren't even right triangles
@harsh quartz @gray isle something's wrong with the diagram
yeh i pointed that out
oh lol
hence that erasure to at least make the problem make some sense
Could someone explain how to do this again?
I forgot all about it
We did this in like January
Arc Length
Its just circumference *angle/360
not +4
Tis -4
Whats the answer
9 obv
the journey is just as important, maybe even more important than the "answer"
how did you figure it out
So 14 right?
$156= 10x$
ajuze
Can I post another one
@tropic willow OK, you have arc length, right?
Of this one or the first one I sent
🏳️🌈 HAPPY PRIDE MONTH🏳️🌈
@tropic willow What's an arc?
🏳️🌈 HAPPY PRIDE MONTH🏳️🌈
@alpine sable Sorry, channel is busy.
how do you math people do this..
study. but not too much, there are things way more important than studying in life
I don’t actually study but I do well
thats very good
Math not so much there’s some stuff I do amazing in math
you will not be able to sustain this in grad school
Anything to do with circumference I just suck at
@tropic willow Do you know what an arc is?
OK, so an arc is a part of the circumference, right?
Should be
OK, so you have an arc and its central angle, right?
Yeah
OK, so the arc length is the central angle's portion of the whole circle times 2 times the radius.
Chai T. Rex
Ohhhhhhhh
This is like the circumference formula.
Chai T. Rex
Why am I so stupid
The circumference is the arc length when the central angle is 360 degrees.
Chai please don’t pixelate me
,calc 360/132 * 22
Result:
60
Maybe I’m not dumb
This stuff isn't about being dumb, it's about how much you know.
You're welcome.
can anyone answer a question about if a time series is stationary or not?
Well I have one more
OK, go ahead.
Michael currently 45$ has in savings. He had been saving 9$ each week. Yesterday he spent 126$ of the savings. For how many weeks had he been saving? i need help what is the equasion
@warped carbon Sorry, channel is busy.
k
Chai T. Rex
@tropic willow ^
It's how much of the total angle of the circle you have times the circumference.
It is.
Tysm Chai T . Rex
Sorry I was so slow for answering questions
And thanks for your time
You're welcome.
@oak chasm chan free now?
@tropic willow Are you done with the channel?
Yup
@gray oasis OK, go ahead.
is this likely to be a stationary time series?
ACF and PACF of it below
v new to time series etc etc
yes
is there a way to use dot product and find a vector perpendicular to two other given vectors?
ik i can use a system of equations, but i have the two vectors (0,3,4) and (2,0,0)
so some of the terms are 0, how can i find a perpendicular vector to these two
cross product
no
oh you can do 2 equations 2 unknowns is my guess
for dot product between w and u, i get 0=3y+4z
and w dot v, i get 0=2x
x has to be 0
idk abt the other two
If you're referring to number 10, if you know how to find the null space, that's how you do it
how can i do that?
Do you know what null space is?
no?
Is this linear algebra?
Do you know matrix reduction like RREF?
no not yet
So the best option that I can tell you to is how solve it, divide the u vector by 3. This is to create a pivot row, set it equal to y
Or j
The free variable, meaning that it can any value, is going to be k/z
You already know x/i, so plug in any value for k/z to find a suitable j/y
And that vector is is w
oh, but isnt x/i =0
Yes x = 0
lemme try it
I have an algebra eoc tmr what is the best review packet/paper that shows stuff that will be in it
since I rlly would appreciate if there is like a packet/paper reviewing the important parts during algebra 1
I'm guessing everything that you learned so far is fair game
yeah but it makes me rlly nervous to just not review a packet or something that will help me pass
can u explain with the numbers, bcz im kinda confused
3/3=1, so 1/y?
4/3/z = 4/3y?
3z=4y? is this what u mean?
can someone help me?
Yes but it should be 3y = 4z
$\frac{1}{y}=\frac{4}{3z}$
ffaizy
is this not it?
You have it as the reciprocal, you don't need to do that
$y=\frac{3z}{4}$
ffaizy
4y=3z?
Should be negative
Forgot the sign
It's originally u = 3y + 4z, set it equal to zero, solve for y
So 3y + 4z = 0
And so y = -4z/3
is getting a result with a sum of 7 from a 6 sided die an example of an event, a sample space or a statistical experiment
Now plug in any value for z, so get y
So in this case, x = 0, y = -4, and z = 3
That is correct
Hey weird question here, but is there any work done for functional fixed points? (If that even makes any sense) That is, a function/set of functions which under some operation has that function as an output? Like how e^x gives itself under the derivative operation
And you can double check by doing the dot product of w and u and w and v
eigenfunctions
but the ans has (0,4,-3)
Oh lol, I completely forgot about eigenfunctions 🤦♂️
It's still the same answer, just different signs. You could have said z = -3, to get y = 4
`Find the indicated roots. Express answers in trignometric form.
- The square roots of 4(cos90+isin90)`
Help?
oh i see, thanks a lot
As long so you set up everything correctly, you can pick any z to get some y. You could have said z = 1 to get y = -4/3 and that's a valid answer too
@carmine bronze do you know how complex number multiplication adds the angles?
yes i jus graphed and saw that there are many ans
i forgot there is more than 1 possibility
I'm learning de moivre's theorem rn
To be exact, there's infinitely many answers
use tangent on the triangle. set up an equation where tan55 is on one side and see where it takes you.
Ty
714.074003371?
Got it ! Ty
Rounded to nearest tenth
Rounded to 714.1
nice job!
This one is sin?
What two sides of the right triangle
What's that base and side called in respect with the angle?
So 4.5?
I did tan 37 * 6
What is the ratio for tangent?
Opposite over adjacent
And what form did you have it in?
So 6/X?
Exactly this
But how do I get that?
With the angle provided
I do know the last angle is 53
Using basic algebra
So you have $$tan(37) = \frac{6}{x}$$, correct?
dldh06
How would you find x?
That’s what I need to know lol
If you had $$10 = \frac{6}{x}$$ what would you do to find x?
dldh06
Multiply by x on both sides?
oh
Then divide by 10?
It wouldn't be 6x
Then subtract ?
Why would you subtract?
But the 6 and 10x aren't combinable
So how do I do it then?
Well how would you solve for x?
What other operations are there?
So 36= 60x?
Exactly
Could that be right?
I know lol
Tan (37) = 6/x
So step one?
It's the same process as the 10x
So tan (37x) = 6?
So tan (37) (x) = 6?
