what formula do i use
#help-0
bitter sage
wary stream
Do you know how to find the norm?
bitter sage
Do you know how to find the norm?
wdym
bitter sage
ya i found it
wary stream
Same thing
tight locust
take the square root of the dot product of the vector with itself
bitter sage
|u| and |v| = 2
wary stream
|u| and |v| = 2
This isn't true
tight locust
which literally is just its magnitude by definition
wary stream
You know u + v, not u and v separately
bitter sage
ok
wary stream
Just find the norm
bitter sage
so its |2,2,0|?
tight locust
nice one
bitter sage
?
tight locust
i'm so proud that you finally learned what the euclidean norm is
tight locust
it's literally just pythagoras
consider R^2 for a second instead of R^3. if you have the component form of a vector that means that you know the legs of the triangle
and the norm (or magnitude) will be the hypotenuse
bitter sage
so whats the euclidean norm formula?
tight locust
sqrt(sum of each component squared)
wary stream
You probably heard magnitude
bitter sage
ya
can somn remind me what the formula is for finding angle
given two vectors
its cosx=a . b/|a||b| right?, and how do i do this question
bitter sage
what
coral pagoda
its cosx=a . b/|a||b| right?, and how do i do this question
Yes, that is the right formula. Just let a be the vector u and b correspond to vector u+v
bitter sage
i did that
but i got i got x = cos^-1(sqrt2)
and its undef
cuz U+v = (2,2,0)
and u = (2,0,0)
coral pagoda
Yes, so if we dot them, we should get 4, and if we take the magnitude of u, we get 2, and magnitude of u+v is 2√2
coral pagoda
Thus, $\cos(\theta)=\frac{4}{4\sqrt{2}}=\frac{1}{\sqrt{2}}$
ocean sealBOT
dackid (jump king +)
bitter sage
oh
coral pagoda
Which is indeed a valid value for cos(x)
bitter sage
i thought it was just sqrt2
coral pagoda
No, it is 1/√2.
If it helps, we can rationalize that to √2/2
bitter sage
ok ya x = 45 degrees
coral pagoda
You got it!
coral pagoda
Okay, well, see how you can do it that way. Luckily, 45° triangles are not difficult to deal with
coral pagoda
Well, you could. But you can also recognize that the z-plane is not being used, so just take a cross-section of the 3D plane
The x-y plane to be exact
If you do not wish to do that, then yeah: draw it on a 3D plane
ivory zodiac
is this channel in use?
bitter sage
ya
coral pagoda
I have to go to bed now. However, what you drew Alobz is three points, but you need to draw vectors (which are very different)
bitter sage
what is 27-(362-291)-(671+925) minsed by 30%
can u not jus put this into a calc
bitter sage
I have to go to bed now. However, what you drew Alobz is three points, but you n...
ok
wouldnt this work'
coral pagoda
No...those aren't vectors, and your indicators for u,v, and u+v are in the completely wrong spots
bitter sage
can u quickly draw it then im so lost
coral pagoda
No I can't. I recommend you watch a YouTube video on what vectors are and how to work with them.
Either that or Khan academy. I assure you they have plenty of videos on the subject.
bitter sage
ok
hearty cliff
if y = f(x), do you say that the differential of y (dy) is wrt x?
because the definition makes it kinda dependent on dx?
worn dew
can i have a hard math question that answer was 16?
tight locust
what
acoustic fractal
Find three unique solutions to the equation y=4 x-11y=4x−11. Enter your answers as an ordered pair in the form (x, y)(x,y).
Please help
tight locust
integral from -inf to 0 of 16e^x dx
acoustic fractal
i need a hard question but the answer need to be 16
@tight locust can you help brodie
tight locust
what field are you solving over
worn dew
any hard question
tight locust
i just gave you one
hearty cliff
i need a hard question but the answer need to be 16
$\int_{-\infty}^0 16e^x , \mathrm{d}x$
ocean sealBOT
codeo
noble goblet
i need to do 5 and 8 i am so cunfuzed 
dusky bluff
@hearty cliff 16 will be the answer
tight locust
no.
dusky bluff
@noble goblet In the case of problem 5, use the concept of left hand limit and right hand limit
noble goblet
<@630122429372563457> In the case of problem 5, use the concept of left hand li...
wdym how would i do that wkdnwkkskw
dusky bluff
Are you familiar with the concept of left hand limit and right hand limit?
noble goblet
Are you familiar with the concept of left hand limit and right hand limit?
kind of
like ik what it means i j don’t know how to apply it
or how to solve for c
mint moth
Can someone find the mistake and explain to me
dusky bluff
Look for some examples, you will understand. Look for " limit problem for step functions".
rigid smelt
this line is absolute non-sense, the limit of sin(x)/x^3 as x tends to 0 is not 1/x^2, neither is tan(x)/x^3
and what happened in between these steps? If you are intending to multiply the numerator by (cos(x) + 1), at least do that to the denominator also
dusky bluff
@rigid smelt I think you should use L' hospital rule.
rigid smelt
please, this is all doable without l'hopitals rule
narrow scroll
rigid smelt
channel might be busy, you should move to an unoccupied one
alpine sable
@rigid smelt are you sure x is in radians?
rigid smelt
what does that have to do with the limit being solvable? And why are you asking me?
alpine sable
You can apply sina/a=1 only if a is in radians and and a should be tending to 0
dusky bluff
@rigid smelt I think you forgot to write cosx +1 in the denominator
rigid smelt
....have anyone of you noticed that this is not my problem?
rigid smelt
anyway, your second approach is the way to go
no its not 1/2
you forgot something very important
dusky bluff
It's -1/2
mint moth
Teacher told us that its 0
rigid smelt
its not
mint moth
It became very sus
rigid smelt
like i said, the first approach was very bad
and the way you evaluated sin(x)/x^3 makes no sense whatsoever
mint moth
Anyways tq so much for the help @rigid smelt im having the math test in 18 mins
Im just going to hope that the teacher notices it
split slate
What's the formula for finding the maximum and minimum of a sine graph?
I'm very confused, since I can't find anything worthwhile on Google
charred flint
sin goes between -1 and 1
split slate
But what if we shift the graph?
charred flint
then it shifts the max and min
split slate
hearty cliff
f(π/2)?
dusky bluff
@split slate Are you shifting it on x-axis or y-axis?
split slate
Like, in:
$
y = k + a \times sin(bx \pm c) \pm d
$
HappyAlt
split slate
This is the equation I was using for this graph:
$y=1-3sin\left(2x\right)$
ocean sealBOT
HappyAlt
ocean sealBOT
HappyAlt
split slate
Because the maximum and minimum only apply to the y-axis
dusky bluff
Yes I think so, but I am confused about d
split slate
because it will keep on passing through the x-axis
tight locust
||||||||||||||||||||||||||||||||||||||||||||||||||
sage bronze
$$\sqrt {2yz^{2}} = (2yz^{2})^{\frac {1}{2}}$$
$$\sqrt [5] {2y^{2}z} = (2y^{2}z)^{\frac {1}{5}}$$
ocean sealBOT
HELLOBELLO
sage bronze
now use exponents laws to simplify
ionic jewel
do ,help in #bots
the math formatting language it uses is called latex, see #latex-help
merry coral
wut
unique goblet
What the.... Are you udru or what?
Like, You don't need to type
9-k=4
-k=4-9
-k=-5
k=5
NO
IF 9-K=4
THEN 9-4=K
EASY
unique goblet
YEASH
restive orchid
but h is wrong
restive orchid
but the ans teacher gave is -8
and i have no idea why
ok nvm, i know why alr
thank you @unique goblet
brazen yoke
unique goblet
Yeh
alpine sable
how would you write f(x) = 2*(x-1)*(x-5.5) into f(x)=2x2 - 13x + 11 i know how to do it the other way. but not this way.
alpine sable
how would you write ```f(x) = 2*(x-1)*(x-5.5)``` into ```f(x)=2x2 - 13x + 11``` ...
just multiply?
but where does the -13x come from?
im sorry "2x2" is suppose to be "2^2"
clever folio
Are you sure you aren't making a mistake when you try it yourself?
When I did it I got 2x^2 -13x +11 like you said it was supposed to be.
alpine sable
but how did you do it?
clever folio
I just did foil
alpine sable
but how did you do it?
just multiply? first 2*(x-1) then what you got by (x-5.5)
i got it so far, makes sense: ```2*(x -2) * (x -11)
(2x -2) * (2x -11)
2x^2 * ...``` but im a little but confused with the rest
just continue?
2x^2 * -2 *-11?
no if you got (a+b)(c+d) then it will be ac+ad+bc+bd
whats the meaning of life?
ill answer that after i understand this 😄
alpine sable
no if you got (a+b)(c+d) then it will be ac+ad+bc+bd
once we multiply the x's so it says 2x and 2x. then we put it in ^2, because that's 2x*2x. - But after that i can't really explain what happens.
"(a+b)(c+d) then it will be ac+ad+bc+bd" this makes sense. i just have to think on it for a bit i think.
lets say you got(x-2)(2x+3) then it will be x*2x + x * 3 -2 * 2x - 2 * 3 just use this for your problem
thorn kindle
Yeah
alpine sable
lets say you got(x-2)(2x+3) then it will be x*2x + x * 3 -2 * 2x - 2 * 3 just u...
aah now im starting to get it i think.
soft zodiac
The function whose graph is the graph of y=x^3 horizontally compressed by a factor of of 1/5 is y = ?.
I know that if I want to horizontally compress the function by like 2, I just add 2 in front of the x. But if I added 1/5, then it would be stretching? How do I compress it by 1/5?
subtle nebula
can anyone guide me on how to solve this
vale wigeon
as-written this doesn't make any sense
can you ask your teacher to check this for typos?
gray isle
the question probably intended $a_n$
ocean sealBOT
ℝamonov
subtle nebula
h
vale wigeon
in which case, what it asks is: at what position does the number 32 appear in this sequence?
alpine sable
what values can y assume when x is a natural number
consider if every value for Z can be in the definition set
bro how fast is this sevrer
clever folio
Shaky are you saying the outputs can only be Z?
Because that won't be true for all of those.
clever folio
For ex in (c) when x=2
y=sqrt(2) which is not an integer.
For the actual question are they trying to ask you to list out all the values like a,b,c,...?
alpine sable
For each of the functions, consider whether all values from X can be included in the definition set
thats the question
i dont understand what youre trying to say
clever folio
I see.
alpine sable
yeah i know what integers are
clever folio
I think my confusion is I'm not sure given the way the question is worded what exactly they're expecting your answer to be.
alpine sable
no
it cant
all numbers of z
u cant put all numbers of z into x's place
for example a negative number into the square root
clever folio
Yeah that's what I was getting at by mentioning (c)
Since sqrt(2) is not an integer.
The integers are closed with respect to addition and multiplication.
alpine sable
not cube roots as well
clever folio
This just means you can multiply and add any two integers and get an integer.
But nth roots, divisions etc the integers aren't always closed with respect to these ops.
alpine sable
answer, No, you can't put negative integers at x's place because you can't take the square or cubic roots of negative integers.
clever folio
For ex sqrt(3) and 1/2 are not integers.
clever folio
Yeah yeah
clever folio
Idk what exactly they want your answer to look like but you see how you can find examples of natural numbers where the y values in your prob won't be integers right?
clever folio
Yeah I'm not saying you can't
alpine sable
No, it doesn't work for c and d because you can't put negative integers at x's place because you can't take the square or cubic roots of negative integers.
That should be the answer
itll work for the others
alpine sable
Idk what exactly they want your answer to look like but you see how you can find...
what does prob mean?
clever folio
Can x be only natural numbers or can x also be negative?
woven crane
what values can y assume when x is a natural number
says natural numbers here
clever folio
what does prob mean?
Not sure it seems a little vague
alpine sable
i meant integers
clever folio
says natural numbers here
They keep mentioning examples for x that are negagive.
Gotcha shaky. That makes sense.
alpine sable
They keep mentioning examples for x that are negagive.
because that's the only thing that doesn't work?????
woven crane
maybe just send the screenshot for the actual question, problem statement inclusive?
clever folio
I think you are wrong about cube rooots of negatives?
clever folio
I could be misremembering but I thought that cubert(-x)=-cubert(x).
woven crane
you can't take the cube number of a negative number, can u?
cube or cube root?
clever folio
Maybe I'm having a dumb moment lol.
ocean sealBOT
woven crane
I could be misremembering but I thought that cubert(-x)=-cubert(x).
yeah that's one soln
alpine sable
,w calc (-26)^(1/3)
ocean sealBOT
clever folio
Yeah I'm having a dumb moment cube roots are defined for any real number.
woven crane
yeah
alpine sable
,w calc (-26)^(1/2)
ocean sealBOT
alpine sable
tf
clever folio
You can always take a cube root of a real number.
alpine sable
i thought u couldnt take square roots and cube roots of negative numbers
woven crane
but you need not bother with those
vale wigeon
negative numbers have real cube roots
clever folio
It's just the even powered roots that are a problem iirc?
vale wigeon
and fifth roots, and seventh roots, and any roots of odd degree
alpine sable
whats the answer then
woven crane
for?
alpine sable
for my question
vale wigeon
can you repost your question
alpine sable
For each of the functions, consider whether all values from X can be included in the definition set
woven crane
Ohh
alpine sable
question 2: What values can y assume when x is a natural number
woven crane
so its two separate questions 🤦♂️
alpine sable
oh god, you're messing up the translation again, aren't you...
I'm not sure if google translate always is correct
vale wigeon
google translate tends to suck
alpine sable
lol
alpine sable
whata question are we at?
alpine sable
well
vale wigeon
i have better things to do than fight through an impenetrable language barrier
alpine sable
let's skip the first question
question 2_
What values can y assume when x is a natural number
vale wigeon
are you sure it says "natural number"
alpine sable
Yessss
vale wigeon
it sounds kinda weird because the only complete answer that can be given for any of a-f is
alpine sable
i've read it 7 times now
vale wigeon
tautological at best
like
what are you even gonna do
how are you gonna describe the set {sqrt(n) | n in N}, which would be the answer for part c, in any other way that isn't needlessly contrived
alpine sable
idk lol just insert any value at x's place and see what y will be
y can be any value?
lol
this question is weird
alpine sable
what?
the question is literally just what can y be when you place a number at x's place
y can be from ]-inf,+inf[
that should just be the answer
fiery berry
Hi
fiery berry
What language do you speak
alpine sable
English
fiery berry
First language
alpine sable
Danish
fiery berry
Oh ok i cant if it was chinese i could but my german is shakey and danish is non existant
alpine sable
i can a bit german too tho
fiery berry
Is your english or German better
alpine sable
english
alpine sable
scroll up in the chat
latent iron
There are 8 different swimmers
How many different way are there to organize the swimmerd in 8 different lanes
Shouldn't it be 8 choose 8?
The answer says it's 8 factorial
vale wigeon
it matters who goes in what lane lol
of course it's 8 factorial
or 8 permute 8 if you have a fetish for using either P or C for every single combinatorics question
[purposeful exaggeration]
latent iron
of course it's 8 factorial
It felt right
But thought ncr was the correct use
Thanks :)
safe stone
ocean sealBOT
5kbps
astral briar
6/(x-1)+5/(x+1)=6/(x-2)
wary badge
wary badge
6/(x-1)+5/(x+1)=6/(x-2)
Want to find x?
wary badge
Lol
wary badge
It's easy 😑
astral briar
It's easy 😑
explain
wary badge
@astral briar very easy just stop
astral briar
<@779270294535012402> very easy just stop
what
wary badge
@astral briar is it for ur exam?
astral briar
<@779270294535012402> is it for ur exam?
no
i just want to know how to solve problems like this
are you going to help or not
wary badge
@astral briar ok I will
brazen thorn
help
wary badge
.....
vale wigeon
@astral briar i was going to suggest that you multiply both sides by (x-1)(x+1)(x-2), as alev no doubt was going to do as well
wary badge
hey this channel is currently occupied by me
Actually it's occupied by me
astral briar
<@779270294535012402> i was going to suggest that you **multiply both sides by (...
k
wary badge
Stop 🛑
vale wigeon
ugh
astral briar
give me a second
wary badge
Ugh
astral briar
it's the unfunny joke you just made
k
i thought it was funny
\
ok i will do the porblem one sec
vale wigeon
also, for the future
astral briar
whqt
vale wigeon
if you want to post in one of the questions channels, it's usually a better idea to post in one of the higher numbers
astral briar
k
vale wigeon
not because they're any different in their purpose
but because the lower numbers tend to have a lot of people intruding
wary badge
@vale wigeon do u have any idea where I did wrong
vale wigeon
incorrect factorization of tan^3(A) - 1 is what i can see immediately
it's (tan(A) - 1)(tan^2(A) + tan(A) + 1)
but you have a 2 multiplying the tan(A) in the second parenthesis
wary badge
it's (tan(A) - 1)(tan^2(A) + tan(A) + 1)
But why not 2tana
astral briar
k i did it
vale wigeon
pray tell why it would be 2tan(A), alev?
astral briar
can you use reply featur
wary badge
Oh k
ivory otter
https://tenor.com/view/cccp-flag-wave-star-logo-gif-16196191
Salute
vale wigeon
But why not 2tana
$x^3 - 1 = (x-1)(x^2 + x + 1)$
astral briar
so i know who you are talking to
ocean sealBOT
Ann
vale wigeon
$(x-1)(x^2 + 2x + 1)$ would not expand back out to $x^3 - 1$, alev.
ocean sealBOT
Ann
astral briar
x^3 = x^2*x
vale wigeon
@astral briar i was talking to alev just now, as i made clear by mentioning them by name.
wary badge
@astral briar solve it urself
wary badge
@vale wigeon Thanks a lot
vale wigeon
now it's a matter of expanding out and tidying up
expand everything
you should get a collection of x^2, x and constant terms
astral briar
remove brackets?
vale wigeon
i don't know what you mean by that
but i do not mean that you should just blindly erase every single pair of parentheses
vale wigeon
that's called distributing or expanding in english
anyway yes this is what i want you to do
astral briar
k
vale wigeon
do you think me a nerd who deserves naught but mockery now?
vale wigeon
adding a keyword like 'algebra' should filter out any unintended or unsavory results.
vale wigeon
you're not done yet
vale wigeon
yes more expansion
i wouldn't say "expand everything" if i didn't want you to expand everything
but of course, why would you listen to such a nerd as me?
astral briar
(6x-12) * x =????
vale wigeon
you've never multiplied something by x before?
astral briar
wait
vale wigeon
(6x - 12) * x = 6x * x - 12 * x, as should be clear to you
vale wigeon
yes
astral briar
k
vale wigeon
it strikes me as odd that you're putting up with me even after expressing your utmost disdain for me, what with calling me a nerd (derogatory) and all.
astral briar
6x-12 * x+1 ??????
astral briar
it strikes me as odd that you're putting up with me even after expressing your u...
did i offend you by calling you a nerd
6x-12 * x+1 ??
astral briar
wait
frank ferry
hello
astral briar
blighter, have you ever expanded things that look like `(a+b)(c+d)` before?
nope
vale wigeon
perhaps you may have heard of that blasted FOIL mnemonic that some students use to avoid thinking too hard about it?
frank ferry
can i get help
astral briar
can i get help
go to another channel pls thank you
vale wigeon
@frank ferry hello, this channel is currently busy. please post your question in another of the #questions-_ channels.
frank ferry
ok
frank ferry
ok
astral briar
yes
astral briar
you should not leave off the parentheses as you just did.
k ik
but i just left it
anyway
what to do
(a+b)*(c-d)
how to do this
pls
vale wigeon
expanding a product like this is a matter of applying the distributive law, which you said you were familiar with, several times.
astral briar
so how
wary badge
@vale wigeon is he trolling?
vale wigeon
i don't know.
astral briar
<@183668144404037632> is he trolling?
i am just asking for help
i am not asking 1+1 am i?
wary badge
i don't know.
But it seems like
vale wigeon
...you just prompted me to read their about me
astral briar
But it seems like
ok detective
brazen thorn
In an isosceles right triangle the measure of the angle other than right angle is
help pls
astral briar
In an isosceles right triangle the measure of the angle other than right angle i...
hm
uh
what
oh wait
vale wigeon
won't you look at that
wary badge
In an isosceles right triangle the measure of the angle other than right angle i...
Theta + (90-theta)
sly mantle
yikes
brazen thorn
Theta + (90-theta)
but i dont remember teacher telling such advanced things
astral briar
but i dont remember teacher telling such advanced things
basically
brazen thorn
its from triangles chapter
wary badge
but i dont remember teacher telling such advanced things
Lol
astral briar
its from triangles chapter
90 degree angle in a right angle triangle rite
vale wigeon
alotoflust, your question has a blank space for a single word, yes?
astral briar
if it is an isosceles
wary badge
@brazen thorn u can have my notes
brazen thorn
alotoflust, your question has a blank space for a single word, yes?
yeah its fill in the blans
vale wigeon
alev this is over the top
none of this trig shit is necessary for alotoflust's question
brazen thorn
. The value of 0.3 ̅ in simplest form is
this one pls
wary badge
Oof
frank ferry
any helpers can help me on one question :((((
brazen thorn
\
wary badge
any helpers can help me on one question :((((
Can we see the question
brazen thorn
help
alpine sable
1/3
alpine sable
Yes
frank ferry
and so on
brazen thorn
this 1
wary badge
Small Mistake that's all
brazen thorn
pls answer this 1 too while at it
vale wigeon
@wary badge don't give out answers
wary badge
<@751709709542621215> don't give out answers
Why?
Oh got it
I am doing some mistakes :-)
vale wigeon
no
the fact that you're making mistakes isn't the issue
the issue is that you are going against the rules of conduct for this server
lone heartBOT
supple prawn
pls answer this 1 too while at it
You know what X is from the first equation. What do you get if you try to replace X with this value in the second equation?
wary badge
the issue is that you are going against the rules of conduct for this server
Ok :-)
I didn't revealed answer
misty holly
i think this is free now, so i just wanna clarify why 2z^2 is the cube root of 8𝑧^6 instead of just 2z like the cube root of 27y^3 which is 3y?
if anyone would like to answer my question please ping me
vale wigeon
i think this is free now, so i just wanna clarify why 2z^2 is the cube root of 8...
compare (2z)^3 and (2z^2)^3
misty holly
oh! the z has to be 2nd power bcuz the exponent in 8z^6 is 6 and if u do z only, that is just z^3, yes?
remote drift
please check if i made some mistake here
Answer would be" -y³+y "
Only same powers variables can be sub @mortal void
slow portal
rigid smelt
do you know the identity tan^2(u) + 1 = sec^2(u)
try to apply that identity here
see in what way can you make 1 + tan^2(u) appear
alpine sable
I have a question
Why did she leave
glass lichen
I have a question
Why did she leave
dont troll/shitpost
wary stream
Which one specifically and what have you done?
wary stream
Which two have you done?
silver lichen
Ok
sly mantle
@alpine sable you’re already on thin ice due to your history. condescending msgs like that worsen your case
silver lichen
But my brain is not working
alpine sable
if you guys ever need help with long division go to math warehouse they show working and answers
worn dew
Where to find math warehouse @alpine sable
worn dew
That's for fifth grade
alpine sable
you asked for long division
worn dew
I'm on grade 9 now
worn dew
It's called quadratic equation
worn dew
download gauthmath
Gauth math?
alpine sable
ya free math solver
it finds a teeacher to solve ur question
or you can try snapask but its paid
worn dew
Oh really that will help me so much
rose carbon
How does this work?
rigid smelt
algebra
firstly c^2 is a common factor of c^2a^2 + c^2b^2
and then square and square root cancels
after that, assuming c is not 0, c/c=1
rose carbon
pardon me for my questions, im trying to learn haha
So the square cancels the square root so it would be ca + cb ?
rigid smelt
have you heard of factorisation before?
rose carbon
yeah
rigid smelt
then just apply that to c^2a^2 + c^2b^2
factorise it
take the "common thing out"
||if you are still stuck, heres a hint, it should look something like c^2 * (something)||
rose carbon
right so c^2(a^2+b^2)
rigid smelt
are you clear?
rose carbon
i typed it wrong idk how to use the bot
ocean sealBOT
waler
rigid smelt
you can not simplify sqrt(a^2 + b^2)
rose carbon
ohhh i see it now
makes sense
so then we can do something like
like this
and it ends up being
makes sense, thank you
im trying to learn math but for now its being super hard since it has not clicked for me yet
thanks for your help 😄
verbal cradle
hey i have a question. in this question where did A and B come from? how is it related to the small letter a and b in the coordinates?
fringe robin
all are seperate variable A B are points and a b are x and y coordinate
verbal cradle
OHH thank you thank you
wary badge
$help
ocean sealBOT
A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!
wary badge
$$ If sin^2 x + sin x = 1 , Then Find the value of tan^4 x -tan^2 x $$
ocean sealBOT
Alev
fringe robin
you could take 1 as sin^2x +cos^2x in rhs
fringe robin
Cool
wary badge
I forgot to frame sin^2 = cos^2@fringe robin
glass lichen
I forgot to frame sin^2 = cos^2<@674878911825444874>
what?
wary stream
,rotate
ocean sealBOT
fringe robin
do you have to find tan^4x-tan2x or tan^4x + tan^2x
fringe robin
do you have to find tan^4x-tan2x or tan^4x + tan^2x
if the 2nd then its one
wary badge
No No Sorry Sin^2 x = Cos^2 x , cos x = tan x
wary badge
do you have to find tan^4x-tan2x or tan^4x + tan^2x
- operation
fringe robin
Ok
wary badge
@fringe robin do u have any idea?
fringe robin
Tryin
wary badge
Can I use cos ^ 4 - cos ^ 2 = tan ^4 - tan ^ 2
fringe robin
if you do quadratic eqn calculation then you get sin x as (sqrt(5)-1)/2 using that you mebbe get
wary badge
if you do quadratic eqn calculation then you get sin x as (sqrt(5)-1)/2 using th...
No I meant
We have Gotten tan x = cos x
So can I convert the question from tan ^ 4 - tan ^ 2 to cos ^4 - cos ^ 2
glass lichen
no
stable orbit
if anyone has extra questions for trigno pleas forward
fringe robin
no
😦
i used sin x as x in the og eqn and got value of sin x then found out value of tan^4x-tan^2x
glass lichen
I mean, I think the only way really is to find sin(x)=, then cos(x)=
cause you can show the goal equation is equivalent to $-[\cos(x)\sin(x)]^2$
ocean sealBOT
Mosh
fringe robin
i used sin x as x in the og eqn and got value of sin x then found out value of t...
why cant this be an accurate method?
fierce frigate
URGENT HELP PLS
fierce frigate
why cant this be an accurate method?
CAN U HELP MEE T-T
its 9 pm and i got to do alot of things
this homework
is annoyin
T_
wary stream
URGENT HELP PLS
Law of sines
fierce frigate
Law of sines
IT TURNS NEGATIVE
AND DECIMALS
i know its
a/ sin A = b/ sin B
but when i fill it in
like
glass lichen
like what?
fierce frigate
5.4/sin 42 =8/sin tetra
glass lichen
yeah
glass lichen
Your problem is using the calculator, cause everything you've said is correct
unless you fucked up isolating for theta
fierce frigate
i do
sin theta x 5.4 = sin 42 x 8
sin theta = (sin 42 x 8) / 5.4
yes u know what i mean
it turns into negative
fierce frigate
how do i do that
fervent gust
why cant this be an accurate method?
it should be an accurate method i think
wary stream
how do i do that
What kind of calculator are you using?
fierce frigate
scientific
tropic wagon
which model
fierce frigate
Casio fx-350ES plus
sly nebula
P+ 1/p =√5, p4 -1/p4 =?
Plz solve me this 😭😭 or me getting f in exm
fierce frigate
noi note the modee
i didnt count the sin first
i just placed it all in the calc
so it was wrong
wary stream
P+ 1/p =√5, p4 -1/p4 =?
Plz solve me this 😭😭 or me getting f in exm
Are you currently taking an exam?
fierce frigate
ur not allowed to ask help during an exam
sly nebula
Nh assignment i searched my books and get only p4+ 1/p4 @wary stream
sly nebula
ur not allowed to ask help during an exam
Assigment mr..... Or mrs....
Sad life op
Huh
strange raven
Hi
sly nebula
Hello
strange raven
What's the effective and efficient way to learn proofs?
sly nebula
strange raven
What's the effective and efficient way to learn proofs?
For complete beginners
fringe robin
?
wary stream
For complete beginners
Look up resources
tropic wagon
we can't answer the question if you are in the middle of the exam
opaque island
Can somebody help with this?
wary stream
Can somebody help with this?
Just plug in the value into the function and simplify
opaque island
How
opaque island
So how do I do it with my problem
ocean sealBOT
dldh06
opaque island
So f(a+1)
wary stream
That's not what's written
opaque island
And g(4a-4)
wary stream
Don't change the question like that
gray isle
no, you're overthinking this
you're given
$$f(a) = a + 1$$
to determine $f(1)$, simply replace all instances of $a$ with 1.
ocean sealBOT
ℝamonov
gray isle
yes, in the first question
f(1) = 2
wary stream
Yes, for that part, but it's asking for 5f(1)
opaque island
So 5f(2)
opaque island
Oh I thought you put the 2 in
gray isle
f(1) is 2
wary stream
You plug in 1
gray isle
f(1) is not f(2)
opaque island
I’m better off watching someone solve it and I’ll ask questions along the way
If we can do that
gray isle
this goes back to the basics of algebra and substitution
concepts you should have a decent understanding of
opaque island
Ok so f(a)=2?
gray isle
no
opaque island
😐
gray isle
f(a) = a + 1
(given in the question)
opaque island
So that’s correct though
wary stream
As stated by Ramonov previously
opaque island
F(1)=2
opaque island
Well it’s doing that sense I’m on phone
gray isle
f(a) = a + 1
and
f(1) = 1 + 1 = 2
don't make any unwarranted changes
opaque island
Bro I literally am so confused please just solve it step by step for me
Then I’ll ask questions
When I’m confused
wary stream
We're telling you how to do it
gray isle
you're given
$$f(a) = a + 1$$
to determine $f(1)$, simply replace all instances of $a$ with 1.
ocean sealBOT
ℝamonov
gray isle
doing that gets you
$$f(1) = 1 + 1 = 2$$
do you understand that part so far?
ocean sealBOT
ℝamonov
opaque island
Yes
opaque island
0?
gray isle
yes
opaque island
Ok what nowh
wary stream
Determine $$5f(1) - 4g(1)$$
ocean sealBOT
dldh06
gray isle
now the question is asking for
$$5f(1) - 4g(1)$$
and you already determined the values of $f(1)$ and $g(1)$ so sub those values in.
ocean sealBOT
ℝamonov
opaque island
10f?
gray isle
wtf is 10f
wary stream
Why is there an f?
opaque island
Dunno I did 5 f(2)
gray isle
wheres is f(2) coming from
opaque island
The 2 we got earlier
wary stream
f(1) = 2
opaque island
So just 5f+2
wary stream
f(2) = 3
gray isle
no
opaque island
Bruh
opaque island
Ok
shadow mango
So just 5f+2
f denotes a function, it isn't a variable if that's why you put 5f-
opaque island
Bro I literally don’t know what you guys are even talking about
I’m honestly so confused
gray isle
do you 100% know what f(1) = 2 means?
opaque island
So what do I do with 5 f(1)
wary stream
If f(1) = 2, replace f(1) with the value of 2
shadow mango
substitute the value basically
opaque island
So 5+2?
wary stream
No
shadow mango
noo-
opaque island
Bro
wary stream
It's 5*f(1)
gray isle
5f(1) is the product of 5 and f(1)
opaque island
So 10
shadow mango
5 multiplied by f(1)
gray isle
and since f(1) has the value of 2,
would you agree that
5 * f(1) = 5 * 2
opaque island
So the awnser is 10
wary stream
Not the final answer
wary stream
Yes, now that's correct
opaque island
So final awnser is 10
wary stream
Yes
opaque island
Ok now the next one
gray isle
can you try the second question on your own?
wary stream
gray isle
you more or less need to recall how to do basic substitution
(which should be intuitive)
small bear
Do you know any theorems including a right triangle?
inland shale
yes pythageron therom
small bear
alright, did you apply it in this case?
small bear
So, what did you get as a result
inland shale
15 squared plus 12 squared =c suared
small bear
very good
spark zenith
@alpine sable You are so smart
shadow mango
ah but 12^2 isnt the value of the base here is it?
inland shale
so i just do that?
inland shale
ok
shadow mango
Note that the base of the right triangle seems to be half of the length of the side of the square
shadow mango
mm hmm
shadow mango
what did you get the value of s to be?
shadow mango
yup that should be your answer
inland shale
yup that should be your answer
i also had a question
for this
i know how to solve for the triangle but not the parallelogram
shadow mango
well we have a right triangle here
shadow mango
what did you get the height of the parallelogram as?
shadow mango
yeah go ahead
inland shale
cause it is connected to the oparallellogramk
inland shale
dont worry abt it
shadow mango
cause it is connected to the oparallellogramk
doesnt matter....with the sides 5 and 3 calculate the third side
shadow mango
nice now 4 happens to be the height of the parallelogram right
inland shale
yes
summer adder
hi all, i need help
shadow mango
What is the formula for the area of a parallelogram?
shadow mango
hi all, i need help
channel occupied
inland shale
i do not know
spark zenith
What is the formula for the area of a parallelogram?
Bruh
inland shale
thats why i asked
shadow mango
i do not know
It is the area of base x height of the parallelogram
inland shale
ok
shadow mango
It would be nice to go through the area and perimeter formulas of basic polygons
shadow mango
oh no
shadow mango
our height is 4
inland shale
yes
spark zenith
what grade is he?
shadow mango
since opp sides are equal our corresponding base is 4