#help-26
mortal thunder
static crest
Ansh!!!!
mortal thunder
Let x \in A
static crest
Let x \in A
Umm what is the difference between “let” and “suppose”?
mortal thunder
breh
okay you tried
I can not blame you anymore for this one
(X) is : Let x \in C - B
(XI) is: Suppose x \in A
(XII) is: and A \subset C
✅
sweet shard
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topaz sinewBOT
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honest oyster
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honest oyster
shouldnt it be $(x^2+cx-5)$ instead of $(x^2+cx-15)$?
thorny flameBOT
Reinhard von Lohenngram
topaz sinewBOT
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idle stone
topaz sinewBOT
neon iron
topaz sinewBOT
topaz sinewBOT
@neon iron Has your question been resolved?
keen venture
Yes but you've made a calculation error from line 1 to line 2
y1 = 0 + 0.1(1) = 0.1
valid jungle
can someone help me understand this better
topaz sinewBOT
can someone help me understand this better
thorny flameBOT
Shuri2060
vital relic
If $f$ is invertible, then the above statements hold.
thorny flameBOT
Shuri2060
vital relic
By definition of inverse...
There isn't much else to say. Come up with your own examples.
valid jungle
can someone help me understand this better
does the same thing apply if the first example had Y's instead of X's in here
vital relic
???
valid jungle
i just didnt understand why the exponent had to be in the inner function in the 2nd example
vital relic
the letters.............. are totally irrelevant
That's not an exponent.......................
$f^{-1}$ refers to the inverse function of $f$ by definition.
thorny flameBOT
Shuri2060
vital relic
$f^{-1}: B \to A$
thorny flameBOT
Shuri2060
vital relic
And by definition the above must hold.
$f^{-1}\circ f = id_A$\
$f\circ f^{-1} = id_B$
valid jungle
okay so what difference does it make if the inverse sign was in the outer or inner function
thorny flameBOT
Shuri2060
vital relic
What do you mean what difference it makes
valid jungle
oh wait
vital relic
You should know which order you apply the functions
when you have composition
$(f^{-1}\circ f)(x) := f^{-1}(f(x))$
thorny flameBOT
Shuri2060
vital relic
This means 'do f' then 'do f inverse'
to x.
It is the order in which you apply the functions.
valid jungle
no i mean like A to B
vital relic
You need to come up/check up some examples
It probaby isn't making sense because it is abstract as opposed to concrete.
This is simple stuff expressed formally.
keen venture
Do the operation, then undo the operation. You'll have done nothing and be back where you started
vital relic
this looks like giberish to me
keen venture
The weird one is when you perform the undo, then perform the operation, haha
vital relic
no idea what you are trying to express.
Function composition has nothing to do with multiplication.
^-1 indicates inverse.
not reciprocal.
valid jungle
oh wait
vital relic
I really suggest you to come up with some concrete examples
And you will immediately stuff like this
is right or wrong, usually.
valid jungle
$f^{-1}(x)(f(x)): f(x)(f^{-1}(x))$
thorny flameBOT
Nix Valentine
vital relic
Let $f : \bR \to \bR^+, f(x) = e^x$.\
Then $f^{-1} : \bR^+\to\bR, f(x) = \ln x$.
thorny flameBOT
Shuri2060
vital relic
Then proceed to have a think.
valid jungle
okay
what about in the case of composition
does it make any difference if the inverse sign is in the inner or outer function
vital relic
Of course it does.
This is the key point.
$$\ln(e^{-1}) = -1$$
$$e^{\ln(-1)} = undefined$$
thorny flameBOT
Shuri2060
neon iron
hey
alpine mist
depends on your question....
static void
@neon iron just ask your question while answering the channel
vital relic
Original routine:
- Ask if you can ask a question/get help
- Get a reply
- Ask the question
- Get help
Optimization proposal:
- Ask the question
- Get help
topaz sinewBOT
@neon iron Has your question been resolved?
topaz sinewBOT
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karmic fox
anyone know what i did wrong with these?
topaz sinewBOT
anyone know what i did wrong with these?
@karmic fox Has your question been resolved?
hollow otter
What is the condition for x^2+ax+b to be divisible by x+c?
topaz sinewBOT
hollow otter
What is the condition for x^2+ax+b to be divisible by x+c?
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hollow otter
What is the condition for x^2+ax+b to be divisible by x+c?
topaz sinewBOT
What is the condition for x^2+ax+b to be divisible by x+c?
neon iron
hi
hollow otter
hi
hollow otter
singapore but im in australia rn why?
marsh hollow
how would i simplify this
topaz sinewBOT
how would i simplify this
empty sail
log 3 6³ + log 3 9⁶
If you want to help, teach the person, don't give the answers or the filled in equations, etc
topaz sinewBOT
@marsh hollow Has your question been resolved?
marsh hollow
also is this a quiz
no it’s hw
u ever use cengage
i got the question right anyways but thx
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upbeat tulip
Aight boys i am gonna solve algebra questions, most probably i am gonna get doubts. Be ready
topaz sinewBOT
Aight boys i am gonna solve algebra questions, most probably i am gonna get doub...
supple jetty
mortal thunder
Aight boys i am gonna solve algebra questions, most probably i am gonna get doub...
topaz sinewBOT
@upbeat tulip Has your question been resolved?
upbeat tulip
The question is misprinted, but what would have been done if gif actually has an expression in it
Like suppose fractional part of x-3
We should use fractional inequality?
Like lies from 0 to 1
Aight seems like nobody gonna help
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stiff thorn
In square root equations, why is it written that assume that all variables are positive? What rule does that apply to?
topaz sinewBOT
In square root equations, why is it written that assume that all variables are p...
wooden matrix
cause we want to stay within the real numbers
assuming you're not already in the C plane/working with C
stiff thorn
Alright thanks, I knew that but just wanted to make sure it wasn't a certain rule or trick you could use when knowing that or something when it was variables that the teacher meant
Thanks
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crisp hemlock
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hallow meteor
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grim jacinth
Read this
grim jacinth
,rotate
thorny flameBOT
median temple
Well, think about what you want to differentiate
You don't want the minimum of the area, since that's fixed
You want the minimum of the perimeter
grim jacinth
^^
hallow meteor
oh
median temple
Also, x*(32-x)=64 isn't the right way to parameterize this
hallow meteor
i tried differentiating the perimeter but it was 0
median temple
Your side lengths aren't x and 32-x
Try some examples
like x=1
That rectangle doesn't have area 64
median temple
Well, if one side length is x, can you work out what the other side length is?
hallow meteor
how am i meant to find the minimum perimeter tho
median temple
We'll get there in due time
But to see how the perimeter can vary, we must study all rectangles that have an area of 64
Because if we can express their perimeters in terms of a single variable, differentiation will end it
So right now, the goal is to try to find a general form for the side lengths of rectangles that have area 64
I reiterate, if a rectangle has area 64 and one of its side lengths is x, what is the other side length?
Write it down on paper, give the other side length a name if you have to
Just don't blindly guess, because I will know
thorny flameBOT
median temple
Correct!
The only constraint on x here is x>0
Now you know the side lengths in terms of x
hallow meteor
oo yes
median temple
You can now express the perimeter in terms of x
hallow meteor
ook
median temple
The final result is interesting, too
thorny flameBOT
median temple
you forgot to differentiate the x
thorny flameBOT
hallow meteor
:p
median temple
Yup
If you plug this back into what you found earlier
You find that both side lengths are equal to 8
hallow meteor
yes
median temple
So, the perimeter of a rectangle is always larger than the perimeter than the square with that same area
Which is fun and not quite trivial
spiral briar
topaz sinewBOT
spiral briar
Hey i need help
neon iron
with
leaden tusk
with what?
leaden tusk
what have you tried
neon iron
hold on*
spiral briar
I di dnt even see it lol
topaz sinewBOT
@spiral briar Has your question been resolved?
neon iron
i need help
topaz sinewBOT
i need help
neon iron
HOW IS -7+4 is -3??
vital relic
How is it not?
neon iron
-_-
vocal trout
correct
neon iron
YES
vocal trout
what is... -15+7
vocal trout
why?
vocal trout
what is -2-2?
vocal trout
think about it
vocal trout
it would be the opposite of adding
neon iron
no..
neon iron
and the quadratic or something
vocal trout
when a negative times a negative it becomes a positive
neon iron
yhh
vocal trout
same thing for division
and when you multiply a negative by a positive
its negative
same thing for division
so try this
neon iron
i see
vocal trout
-2 x -2
neon iron
so thats 4
vocal trout
exactly
vocal trout
yup you got it
neon iron
ayyyy
vocal trout
now for division?
neon iron
yess
neon iron
ahh i see
vocal trout
i only know so much haha
neon iron
hahahha i see
vocal trout
alright have a nice day hope i helped!
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bleak bough
Hey, i have a discrete math problem that i'm struggling with
topaz sinewBOT
Hey, i have a discrete math problem that i'm struggling with
bleak bough
I got a relation where
I need to prove that R is reflexive if Dom(R) =S, R is transitive and R is symmetric
If R is symmetric, then a r b and b r a exists
If R is transitive, a R b and b R a implies that a R a exist
thus it is reflexive
however, idk how to include the domain into the proof
topaz sinewBOT
@bleak bough Has your question been resolved?
wheat laurel
If R is symmetric, then a r b and b r a exists
no. IF a R b then b R a.
wheat laurel
if Dom(R) isn't S, there might not be any pairs for which the relation is satisfied
bleak bough
Would writing it like this work:
We take an a where a is an element of S,
By definition of the domain, a R b
wheat laurel
We take an a where a is an element of S,
By definition of the domain, a R b
yep, that works
just mention that this is true for every such a
wheat laurel
If a is an element of S, it is part of the domain?
yea
bleak bough
Thanks for the help @wheat laurel , forgot to thank you my bad 😄
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tiny sigil
can someone help elaborate on how this follows?
topaz sinewBOT
can someone help elaborate on how this follows?
wooden matrix
can someone help elaborate on how this follows?
compute B^T and C^T, then you can show they follow definitions of (skew)-symmetric
wheat laurel
can someone help elaborate on how this follows?
you can show that a_ij = b_ij + c_ij
which isnt that hard
tiny sigil
compute B^T and C^T, then you can show they follow definitions of (skew)-symmetr...
Ahh i see, that makes sense
tiny sigil
you can show that a_ij = b_ij + c_ij
is a_ij like a single entry because it does say
wheat laurel
is a_ij like a single entry because it does say
yep it's an entry
tiny sigil
yep it's an entry
so we're considering a 1x1 square matrix when they say a square matrix A = (a_ij)?
thorny flameBOT
Mosh
wooden matrix
if A is mxn, then 1=<i=<m and 1=<j=<n
tiny sigil
Ahh okay i think i somewhat get it
wooden matrix
for example $I=[a_{ij}]$ where $a_{ij}=1$ if $i=j$ and 0 else
thorny flameBOT
Mosh
tiny sigil
Oh so for the second line b_ij = 1/2 (an element of the original square matrix + an element of the transpose of the square matrix)?
Is that what i'm supposed to get out of that?
wooden matrix
$B^T$ is where you swap i and j
thorny flameBOT
Mosh
wooden matrix
so the entries of $B^T$ look like $\frac{1}{2}(a_{ji}+a_{ij})$
thorny flameBOT
Mosh
thorny flameBOT
Mosh
tiny sigil
which is identitcal to the entries of B
Ohhh so the same logic follows with C^T = C?
wooden matrix
yes, but you get -C
wooden matrix
so B is symmetric and C is skew
tiny sigil
I see that makes much more sense, thank you!
wooden matrix
then trivially, you get that B+C=A
topaz sinewBOT
@tiny sigil Has your question been resolved?
copper meteor
is anyone familiar with financial mathematics?
topaz sinewBOT
is anyone familiar with financial mathematics?
copper meteor
I don't have a specific question. I'm trying to find supplementary material for this other book I'm reading: "Introduction to the mathematics of Finance," which I find really hard to understand
topaz sinewBOT
@copper meteor Has your question been resolved?
tough rune
topaz sinewBOT
tough rune
how is the blue line not concave up in graph A
topaz sinewBOT
@tough rune Has your question been resolved?
cyan python
Its better to draw its graph in desmos
topaz sinewBOT
@tough rune Has your question been resolved?
grim rover
I'm not exactly sure what this lemma says
topaz sinewBOT
I'm not exactly sure what this lemma says
grim rover
like I get the part that r will be even because a tranposition raised to the 2nd power is id
so by mod 2, all even power of a transposition will give you the identity
i don't understand the "following cases for the last two transpositions"
case 1 makes sense
i don't understand case 2 or case case 4? case 3 commutes because they're disjoint transpositions
alpine mist
4 cases,
Both transpositions are the same
two different transpositions but have a common term
two different transpositions totally disjoint
two different transpositions but have a common term in a different place.
it is weird though. transpositions can be written different ways, like (a,b) = (b,a) so I don't know why they made a point to make 2 and 4 different cases...
topaz sinewBOT
@grim rover Has your question been resolved?
grim rover
it is weird though. transpositions can be written different ways, like (a,b) = (...
lol, it's a good textbook
grim rover
4 cases,
Both transpositions are the same
two different transpositions but have...
how does (b,c)(a,b) = (a,c)(b,c)?
because (b,c)(a,b) = (a,c,b)
(a,c,b) --> (a,c)(a,b)
OH WAIT
(a,c,b) == (c,b,a)
alpine mist
yep
alpine mist
yep
grim rover
ah ok thanks
topaz sinewBOT
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pale knoll
hello
empty sail
,w plot -6x^3+36x^2+90x+4
thorny flameBOT
pale knoll
You realize it says x = ..., right?
wow im blind
@empty sail would local max be -1, and local min be 5?
empty sail
Is that what the x is?
empty sail
<@!485903210272391178> would local max be -1, and local min be 5?
I am questioning why you are questioning what the x value of the coordinates are
pale knoll
I am questioning why you are questioning what the x value of the coordinates are
i got it thanks
@empty sail can u double check these 2
grim rover
Take the derivative
and check it
the second derivative could be useful here
rather it will be useful
go through your work,step by step. If you think you've got it down, you could probably just graph the function and verify it yourself
or plug into wolfram
topaz sinewBOT
@pale knoll Has your question been resolved?
smoky ore
Anyidea how we can get k = logn?
topaz sinewBOT
Anyidea how we can get k = logn?
snow basalt
using the method shown in the image lol
is there a part of that method in particular you dont understand
smoky ore
Yes how come logn / log 2 will give us log n?
thorny flameBOT
dldh06
smoky ore
Then why the log n is still in log but not in log 2 n?
empty sail
Because $\log_2(2) = 1$
thorny flameBOT
dldh06
empty sail
Nothing happens with the right hand side
smoky ore
So we can simply assume the base for one of the log?
I thought if we assume is base 2 , the bith the logs should be in base 2 isnt it?
snow basalt
both the logs are in base 2.
smoky ore
both the logs are in base 2.
How do you know that?
Omg is confusing
If both the log is in base 2 then why they just write log without mentioning base 2 in the last line
grim rover
your name is tcp/ip and you're asking about base 2 logs? is this for a cs class lol
in cs, you're (mostly) dealing with binary, so log(n) is typically assumed to be log_2(n) unless specificed otherwise
after seeing (2) -> (3) line, you know log_2(2) = 1, thus the other side must also be log_2 since we're dealing with an equation
Plus the comment is there as well
topaz sinewBOT
@smoky ore Has your question been resolved?
smoky ore
@grim rover so we can always just out log without any base right?
grim rover
wdym?
if you have an equation with logs on both sides that have undeclared/unspecified bases, then you could probably assume they're the same base
topaz sinewBOT
@smoky ore Has your question been resolved?
topaz sinewBOT
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stoic elk
x^2 - 2xy cot a - y^2 = 0
find the angle
topaz sinewBOT
x^2 - 2xy cot a - y^2 = 0
find the angle
stoic elk
$x^2 - 2xy cot a - y^2 = 0$
thorny flameBOT
Saurav
$x^2 - 2xy cot a - y^2 = 0$
stoic elk
$ax^2 + 2hxy +by^2=0$
thorny flameBOT
Saurav
stoic elk
compare with this
celest shuttle
divide everything by x^2, then it's a quadratic equation which you can presumably solve
stoic elk
divide everything by x^2, then it's a quadratic equation which you can presumabl...
finding the angle
celest shuttle
?
full moss
can someone evaluate the limit cause theres no explanation here
topaz sinewBOT
can someone evaluate the limit cause theres no explanation here
acoustic tangle
stuck lintel
,w evaluate cos(pi)
thorny flameBOT
stuck lintel
If you were confused by that
topaz sinewBOT
@full moss Has your question been resolved?
full moss
If you were confused by that
wait for some reason my mind thought pi/2 and i though it was 0
yea i get it
topaz sinewBOT
@full moss Has your question been resolved?
jaunty vector
topaz sinewBOT
jaunty vector
vital relic
0.52212121....
vital relic
write
0.5212121...
as a sum of 2 numbers
a terminating decimal
and a purely repeating decimal
topaz sinewBOT
@jaunty vector Has your question been resolved?
keen venture
There's a neat trick.
0.12121212... = 12/99
Using that, can quickly cobble it together
jaunty vector
My work (left side)
keen venture
Oh yeah, I see how you did it, with a geometric series
keen venture
I would do:
12/99 - 1/10 + 5/10
= 120/990 - 99/990 + 495/990
= 516/990
So yeah, our different methods get the same thing
Can also calculator it, if unsure
keen venture
Oh, are you supposed to reduce the fraction?
keen venture
That's up to your teacher, haha.
jaunty vector
just say into fraction
keen venture
Just doing it is safest
jaunty vector
i did. it was wrong
maybe my teacher wants it into a fraction not simplified
516/ 990 = 86/165?
mortal thunder
ehh
jaunty vector
?
mortal thunder
516/990
mortal thunder
Yeah, think there's an issue
mortal thunder
Actually
there's no $\ldots$ so probably your teacher did not mean for it to be a recurring decimal?
thorny flameBOT
Ansh
mortal thunder
maybe it's just 5121212121212(however many times) / 10^(something)
?
$\frac{52121212121212}{10^{14}}?$
thorny flameBOT
Ansh
jaunty vector
maybe but it states that its repeating
mortal thunder
oh right "repeating decimal". Yeah it's just your server problem or sth
jaunty vector
okay. its a coding problem
i already entered in 86/165 as an answer and its correct
but it didn't accepted it
mortal thunder
oof yes
orchid holly
how do we go from the top one to the bottom one? I got the top one when doing the induction step and changing n to k + 1
topaz sinewBOT
how do we go from the top one to the bottom one? I got the top one when doing th...
orchid holly
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heavy carbon
topaz sinewBOT
heavy carbon
Hi. I tried to multiply the right side (7/t) by the sqrt(1+t)/sqrt(1+t)
keen venture
Good start
heavy carbon
to get a lcd
keen venture
What do you get when you plug t = 0 into that?
heavy carbon
all good!
right now ive simplified it to
lim t-> 0
7-7(sqrt(1+t))
tsqrt(1+t)
but im not sure what to do from here
unique tundra
you could write $\frac{7-7\sqrt{1+t}}{t\sqrt{1+t}} = \frac{7-7t\sqrt{\frac{2}{t}+\frac{1}{t^2}}}{t\sqrt{1+t}}$
thorny flameBOT
Big xdddd
heavy carbon
can you please explain how you went from one to the other
unique tundra
$7\sqrt{1+t}=7\sqrt{t^2\cdot\left(\frac{1}{t^2}+\frac{1}{t}\right)}=7t\sqrt{\frac{1}{t^2}+\frac{1}{t}}$
but i just realised you need the limes for t to zero not to infinity
so this wouldnt help actually
thorny flameBOT
Big xdddd
unique tundra
you mean the writing?
heavy carbon
yea
wat
what if you multiply by the conjugate of the numerator
how would i distribute that
.close
topaz sinewBOT
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neon iron
1,4,7...301. find the summation of all terms in this sequence
topaz sinewBOT
1,4,7...301. find the summation of all terms in this sequence
wheat laurel
1,4,7...301. find the summation of all terms in this sequence
the idea is to create pairs of elements so that the sum of elements in each pair is the same
neon iron
the idea is to create pairs of elements so that the sum of elements in each pair...
101(302/2)?
wheat laurel
101(302/2)?
yea
chilly kestrel
yes
winged pond
topaz sinewBOT
neon iron
me?
Ya
First we can see that 20 degress
and imagine the sin of that 20 degress
That small triangle being formed
With hypotenuse 1
I can draw and show u if u want?
winged pond
sure
winged pond
yea
thorny flameBOT
Dumbest Being
neon iron
Ok @winged pond ?
winged pond
oh
neon iron
And notice that the bigger triangle is
Just a scaled copy of the smaller
One
Thus each side length
In the small triangle
Gets multiplied by the same factor
winged pond
yes
neon iron
To get it's length on the bigger triangle
now we know that on the bigger triangle the length of the opposite is 62
And on the smaller it's $sin$
thorny flameBOT
Dumbest Being
neon iron
Thus factor by which it got scaled is $\frac {62}{sin(20)}$
thorny flameBOT
Dumbest Being
neon iron
Right @winged pond?
winged pond
yeah
neon iron
Now tell me on the smaller triangle
What's the length of the Adjacent
In the smaller triangle
winged pond
1?
leaden tusk
bro what
winged pond
x
neon iron
Dude wait lemme finish
winged pond
uhh im not sure
rare isle
you have derived sin = opp/hyp
neon iron
And that gets scaled by $\frac {62}{sin(20)}$
thorny flameBOT
Dumbest Being
neon iron
People don't understand that sin is just the length of a triangle
With hypotenuse 1
thats it in the most basics
leaden tusk
what
rare isle
sohcahtoa --> tan = opp/adj --> adj = opp/tan
winged pond
oh..
leaden tusk
People don't understand that sin is just the length of a triangle
this sentence makes no sense
neon iron
this sentence makes no sense
Dude
leaden tusk
= opp when hypotenuse is 1
and this has little to nothing to do with the problem
neon iron
this sentence makes no sense
It's just the length of a right triangle
Drawn on a unit
Circle
winged pond
i though it was tan k
neon iron
And the hypotenuse there is just the radius or 1
leaden tusk
"length of a triangle" makes no sense
neon iron
"length of a triangle" makes no sense
I mean length of the opposite
leaden tusk
i though it was tan k
you are correct, you'd use tangent to solve for x here
winged pond
tan(20)=62/x, is another way right
leaden tusk
yes, then just solve for x
winged pond
i got x=170.3 do yall agree
leaden tusk
yes
winged pond
yeah just more complicated
neon iron
yeah just more complicated
Can u show me ur process once
winged pond
ok sure
winged pond
Can u show me ur process once
neon iron
I see
But my answer is not incorrect like @leaden tusk was saying
And in its mere inside 62/x=tan(20)
And saying tan(20) = sin(20) /cos(20) is actually same as the tan in the smaller triangle
leaden tusk
your answer is way overcomplicated and is not how you solve these types of problems
neon iron
your answer is way overcomplicated and is not how you solve these types of probl...
But incorrect is the wrong word to use here
topaz sinewBOT
@winged pond Has your question been resolved?
winged pond
for this question i got 1386.79 as my answer but im pretty sure i messed up where in my work
leaden tusk
looks good to me
leaden tusk
ah i should've read the question lmfao
i just looked at your work
i think you may have mislabeled your angle?
leaden tusk
yes
radiant tree
I have a question regarding strong induction if you can help me.
What's wrong with the following proof.
topaz sinewBOT
I have a question regarding strong induction if you can help me.
What's wrong w...
radiant tree
I have a question regarding strong induction if you can help me.
What's wrong with the following proof.
Show that for all $n >= 0, n^2$ is even.
Base case: $n = 0 \implies 0\times 2 = 0 = 2\times p\times 0$
Assume by strong induction the proof is true for all $n \le k$.
Show that $(k+1)^2$ is even.
- $(k+1)^2 = ((k-1) + 2)^2$
- $((k-1) + 2)^2 = (k-1)^2 + 2\cdot(k-1) + 4$
- By inductive hypothesis, $(k-1)$ is even, thus $2\cdot(k-1) + 4$ is even.
- $(k+1)^2 = ((k-1) + 2)^2$
thorny flameBOT
Titan1190X
grim jacinth
Not all squares of positive integers are even
radiant tree
That I understand, I'm more confused conceptually as to why strong induction doesn't hold
The way I understood strong induction is that we can take all $n<=k$ as a given assumption for any proof. We don't have to show each case is true
thorny flameBOT
Titan1190X
radiant tree
But then something must be wrong with my understanding of strong induction, because if that was true this proof would be valid...?
radiant tree
Then the proof wouldn't follow, that's fair
And we can do that for any consecutive value past the base case, I see
keen venture
Right. k-1 is not a member of our proven integers and it fails
keen venture
But yes you understand correctly, strong induction should always work, if you avoid problems like that one
radiant tree
.close
knotty sapphire
topaz sinewBOT
knotty sapphire
I have the first three derivatives to find the pattern
y'=-2sin(2x)
y"=-4cos(2x)
y"'=8sin(2x)
I took the odd power derivative and attempted the pattern above, I'm not quite sure how to find this derivative
sweet shard
I took the odd power derivative and attempted the pattern above, I'm not quite s...
keep taking derivatives
-, -, +, +, -, -, +, + ...
knotty sapphire
I'm supposed to come up with a pattern that will solve the nth derivative of an odd power, for future test purposes
sweet shard
-, -, +, +, -, -, +, + ...
yea so come up with one for this
knotty sapphire
That is were I'm having trouble, I don't know how to express that pattern in terms of an equation
sweet shard
floor function might help
knotty sapphire
Sorry to disappoint, but I still don't understand how the floor function would help. I round to the number that is less than or equal to that number but how would that apply to that -,-,+,+ pattern?
topaz sinewBOT
@knotty sapphire Has your question been resolved?
unreal sparrow
Indefinite Integral
Can someone check if I went wrong anywhere
topaz sinewBOT
Indefinite Integral
Can someone check if I went wrong anywhere
mortal thunder
Indefinite Integral
Can someone check if I went wrong anywhere
Looks fine
covert flume
unreal sparrow
K thnxx
earnest cradle
topaz sinewBOT
drifting swift
you are having a final test right now?
earnest cradle
Tommorow
drifting swift
in both of these cases, you are dealing with what is known as a system of equations
do you know how to solve systems of equations?
drifting swift
yes, in this case your equations are linear
so you have a linear system
in problem 2, the system is $\begin{cases} 20m = 50t \ m + t = 7 \end{cases}$
thorny flameBOT
Ann
drifting swift
in problem 3 it's $\begin{cases} 20m = 50t \ t - m = -6 \end{cases}$
thorny flameBOT
Ann
drifting swift
solve these as you normally would, then find what is asked of you
earnest cradle
Alright ima find them and let you know
drifting swift
ok
earnest cradle
Oh I love you guys
I solved both
It’s correct as it says in the book
In the book it has solved it in a proportion kind of way
Muah thank you
.close
rare isle
multiplication
restive inlet
that's a multiplication dot
worthy linden
topaz sinewBOT
Available help channel!
shadow bison
what does 'a' have to be for y=1/a-1 x2 to be a parabola and for it's focus to be at 0;2?
topaz sinewBOT
@shadow bison Has your question been resolved?
topaz sinewBOT
@shadow bison Has your question been resolved?
topaz sinewBOT
@shadow bison Has your question been resolved?
drifting swift
parentheses
y = 1/(a-1) * x^2
it should be clear that your curve is always a parabola
you can find the focus of y = kx^2 in terms of k and match it to your thing
topaz sinewBOT
@shadow bison Has your question been resolved?
stuck lintel
^
marsh slate
after 15 mins
wooden matrix
If you're just gonna give answers, don't.
tulip light
btw he just retyped the question I think?
wooden matrix
Yeah, they have a history of being a shit helper by just giving answers
stuck lintel
So how would you approach this inequality.
tulip light
oh
wooden matrix
But anyway, post your attempt at solving it
stuck lintel
(If you already have, what have you tried)
wooden matrix
Or explain your confusion
So you haven't attempted it?
So post your attempt
Like it says to.
Are you just chosing to have selective reading?
Test questions?
Are you writing a test rn?
Answer the question.
stuck lintel
This is getting better and better
mild oasis
So online test
stuck lintel
bruh
wooden matrix
<@&268886789983436800>
neon iron
can you not ask people for the address
stuck lintel
In the meanwhile, read up on academic ethics and integrity @digital stream
grim jacinth
Not sure what we expected from some guy named Stalin lol
vapid lichen
.close
topaz sinewBOT
topaz sinewBOT
Available help channel!
warm geyser
Math Question:
**Jason purchased an item originally for $65 and decided to resell online. How much profit did he make?
The sold item was $50, shipping was charged to the buyer to the amount of [$6 shipping fees]. The Item cost in total was $56 and Platform fees were $3 deducted from the total.
The shipping cost that Jason paid separately after fees were taken out was in the amount of $5.
how much did he earn Show your work**
thorny flameBOT
hps
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
solemn wigeon
well
Profit = Revenue - Cost
so just find the revenue that he made and then subtract the total cost that he made
topaz sinewBOT
@warm geyser Has your question been resolved?
warm geyser
so just find the revenue that he made and then subtract the total cost that he m...
Like this?
candid kindle
Anybody know how I can solve for y? Answer key solves for z first
candid kindle
I figured out how to do it using a system and got it right but anybody know if there’s an easier way?
The system I made
cursive flax
Anybody know how I can solve for y? Answer key solves for z first
Where is 146° angle
cursive flax
I thought too, just confirming
cosmic salmon
The system I made
slightly concerned about the shape of the shadow
topaz sinewBOT
@candid kindle Has your question been resolved?
candid kindle
Where is 146° angle
146 is the arc angle
cursive flax
Gotcha
candid kindle
slightly concerned about the shape of the shadow
Lol
Then 64 74 and 90 are the angles of the triangle