anything else?
#help-27
patent marsh
patent marsh
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obsidian shuttle
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restive river
Need help 4b hints
devout snowBOT
Need help 4b hints
restive river
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wooden axle
limit tends to 1/2
(x^2-1/4)tanΟx
devout snowBOT
limit tends to 1/2
(x^2-1/4)tanΟx
keen mantle
hey
wooden axle
Couldn't solve it by L'Hospital
keen mantle
where did the pic go
lyric hornet
limit tends to 1/2
(x^2-1/4)tanΟx
Hint: $\left(x^2-\frac{1}{4}\right)\tan(\pi x)=\frac{\sin(\pi x)(x^2-\tfrac{1}{4})}{\cos(\pi x)}$
woven radishBOT
MrFancy
devout snowBOT
@wooden axle Has your question been resolved?
junior geyser
This is my homework I am in 10th grade - I have to give a term for the maximal possible volume of this rectanglular prism. The blue squares show the parts that have to be cut out in order to be able to fold the rest of the rectangle up in a proper manner to form a body with volume. The sides of the given squares are all the same length, x
devout snowBOT
This is my homework I am in 10th grade - I have to give a term for the maximal p...
red turret
.
junior geyser
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devout snowBOT
devout snowBOT
Available help channel!
shy moth
devout snowBOT
shy moth
ahhh
shy moth
alr π
narrow plank
I wish I could explain to you how long it took me to understand that lmao
narrow plank
It's weird man
shy moth
i dont think i dare to ask for proof
if it took that much just to understand the result
narrow plank
I have a great vector calc textbook i learned from
Probably my favorite textbook of all time
shy moth
ooh
narrow plank
Very readable - PC Matthews - Vector Calculus
narrow plank
π
shy moth
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urban schooner
I need help with finding the volume of a simplified model of a water bottle that consists of 3 shapes, in python.
What I have done so far
devout snowBOT
What I have done so far
urban schooner
And this is the task I'm doing:
The figure shows a simplified model of a water bottle. Note that all three shapes have the same radius, but the height may be different in the cylinder and the cone.
Create a program that calculates the volume of such a bottle. Adjust the values ββso that your bottle contains 0.5 liters. Print a suitable text showing the total volume together with the volume of each of the shapes. Round the answer so that you only show two decimal places.
The volume formulas for the three shapes are:
Cone π=Οπ2β3
Cylinder π=Οπ2h
Sphere π=43Οπ3
This is the print of the python code. I have reached my desired answer, but I really feel my method was wrong
<@&286206848099549185>
restive river
yep?
urban schooner
Hi, you can see the problem that I posted?
I don't know if you do python math, if not then I'm sorry for having wasted your time.
vague obsidian
where is the question
urban schooner
I need help with finding the volume of a simplified model of a water bottle that...
here
underneath that question there is a picture and under the picture is the task/problem
urban schooner
I need help with finding the volume of a simplified model of a water bottle that...
<@&286206848099549185> I need help with some python math. To see the problem click the message I'm replying to.
tardy wave
Are you getting an error or is the math coming up with a wrong answer?
urban schooner
I got no error, It's just I think the way I got to my answer is wrong, You can see the print of the code here.
urban schooner
And this is the task I'm doing:
The figure shows a simplified model of a water ...
Here is the problem I'm solving
I give up, it's hopefully right
.close
gusty verge
devout snowBOT
gusty verge
Hey, how do I find the function expressions for a circle like this?
so it's -1 +/- sqrt something i know
i actually found it by accident but i don't know why it's correct
sonic smelt
Are you familiar with the equation of a circle in general?
sonic smelt
Sure, but you can't combine them
sonic smelt
And btw it's better to keep the expressions factored there
gusty verge
hold on
i rewrite that again as 16-x^2+4x-4=y^2+2y+1
and boom badabing
12+4x-x^2 is the answer almost
but i don't know why
to be precise, the two functions are -1 plus or minus sqrt(12+4x-x^2)=y
but i don't understand how that is true when 2y and 1 are still left there...
do you have any clue?
sonic smelt
The 2y "disappears" when you factor y^2 + 2y + 1 as (y + 1)^2
And then take the square root of both sides
austere void
im trying to convert from kilopond to newton, teacher told us:
1 kp = 9.8 N
1 N = 0.102 kp
and I have 9800 N
google and chatgpt told me that i should divide 9800 by 9.8, but I don't get why
devout snowBOT
im trying to convert from kilopond to newton, teacher told us:
1 kp = 9.8 N
1 N ...
gilded agate
To convert from N to kp you multiply by 0.102
austere void
To convert from N to kp you multiply by 0.102
thnx! but can you please explain to me why?
spiral dagger
why is the answer v15?
devout snowBOT
why is the answer v15?
spiral dagger
doesnt the v15-v15 cancel one another out?
patent marsh
factor out a sqrt(15) and you'll see why
patent marsh
doesnt the v15-v15 cancel one another out?
and no it does not
for example, you wou'dnt say that 2x - x = 0
youd say it's x
devout snowBOT
devout snowBOT
Available help channel!
primal relic
devout snowBOT
primal relic
im really confused on how to even start i worked out AB for some reason lool but i probably did that wrong too
mehn math makes no sense
no way some people find chem harder
this is utter TRASH
supple knot
primal relic
sand dove
Since OA and OB are perpendicular, what can you say about the triangle OAB ?
sand dove
Yes!
sand dove
And the right angle is on which point?
sand dove
Yes on point O
primal relic
yeee
sand dove
So right triangle in O, what's the formula for the area?
sand dove
Both are correct
primal relic
yee
sand dove
But the height in this case is?
sand dove
Well you can choose
sand dove
But if for example OA is the base, then the height is?
primal relic
OB
sand dove
Yep
primal relic
so i just need to follow through w the formula now but the thing is how do i like
because its got a vector form
sand dove
How do you find the length using vector form?
sand dove
Be careful as we want the length of both
primal relic
look at the x value for one and y for the oither and times them ?
sand dove
The formula for area, as mentionned is 1/2 Γ length(OB)Γlength(OA)
How do I find the length of OB for example ?
primal relic
oa + ab?
sand dove
No this wouldn't be getting us anywhere
primal relic
sorry
sand dove
So...
sand dove
Maybe you're more familiar with the notation ||OB||
primal relic
OH
ye
the magnitude
so you do
x^2 + y^2 and square root
of both
added
toigether
sand dove
Except there are 3 coordinates
primal relic
so all 3 squared added and then root of it
sand dove
Exactly
primal relic
ahh
do that for both ? ob and oa and thats the length of each
and then times them and divide by 2
sand dove
Yes
sand dove
π
primal relic
aight lemme try rq
and if i mess something up like an idiot
ill be back
.
YOOOOOOOOOOOOOO I DID IT
THANK YOU SO MUCH
mann how do i get better at maths like you
i keep getting bs and cs in my exams and now im in my second level of a levels
well ty for the help have a great day !!
.close
neat plaza
How would you write a direct proof by cases of this claim. I have been stuck on it for hours, I have asked for help previously but still not sure how to move forward.
neat plaza
I know it depends on the signs of x and y
So I was thinking case 1: where signs of x and y are the same, and case 2: where signs of x and y are different.
neon aspen
do you know the triange inequality?
neat plaza
I know of it from other people but no not in detail
I don't know the proof of it either
neon aspen
yes you can split it into cases
this problem becomes quite easy with the triangle inequality tho
neat plaza
I have been told that but I don't want to use something that wasn't taught
I am also required to use a set list of reasons for each statement so I don't think I could reason that lol
I am told to split this into cases though, with each case being 4-6 rows in length
devout snowBOT
@neat plaza Has your question been resolved?
neat plaza
<@&286206848099549185>
devout snowBOT
@neat plaza Has your question been resolved?
neat plaza
this problem becomes quite easy with the triangle inequality tho
This is from my TA
neon aspen
Damn u got classes in discord?
restive river
I quit helping
neat plaza
man my head hurts
its my only assignment for the next week
and i dont know what i am doing
@neon aspenany help?
neon aspen
No
austere void
From the top of a 30m building we drop a body of mass 50g that reaches the ground at a speed of 20m/s. What is the energy that has been dissipated by friction with the air?
I've tried:
Initial Em = Initial K (kinetic energy) + Initial U (potential energy)
Initial Em = (1/2)mV^2+mgh
and as at the beggining velocity = 0; Initial Em = mgh
Final Em = Final K + Final U
Final Em = (1/2)mV^2+mgh
and as at the end the height is 0; Final Em = (1/2)mV^2
and I got; Initial Em = 14700 | Final Em = 10000
and as Final Em = Initial Em + friction; 10000 = 14700 + friction; friction = -4700
but i think negative friction isn't a thing, and on top of that the solution book says that E = 4.715 J
(excuse my english, I'm spanish)
devout snowBOT
From the top of a 30m building we drop a body of mass 50g that reaches the groun...
devout snowBOT
Available help channel!
limpid shale
JUST CONFIRMING
devout snowBOT
JUST CONFIRMING
limpid shale
THE ANSWER KEY IS WTONG RIGHT
instructions were just to βsolve each inequalityβ
wicked turtle
why do you say it's wrong?
limpid shale
bc thats what photomath is saying
and i got the answer photomath got
^^this is exactly waht i got
storm storm
thats just the same thing
wooden veldt
Look at the part of the answer key to the right of what you circled
storm storm
its just a different way of writing it
limpid shale
why does it say or instead of and?
limpid shale
but didnt union mean that both interval are correct
limpid shale
so they jus randomly chose to write out "or" instead of the union sign? even tho they mean the same thing.?π
storm storm
its just different notation
wicked turtle
you use "U" with sets, and "or" with expressions
you wouldn't say {x | x <= 1 U 2 <= x <= 3}
you could however say:
{x | x <= 1} U {x | 2 <= x <= 3}
limpid shale
o but in the answer key it said "or" in interval notation
limpid shale
you wouldn't say {x | x <= 1 U 2 <= x <= 3}
ohhh okay thank youu
got itt so usually U is for interval notation and or is for set notation
tysm :))
wicked turtle
people will most likely know what you mean either way
just don't say "and" when you mean "or" π
limpid shale
will we ever use "and"?
wicked turtle
yes
limpid shale
how would "and" look in interval notation?
wicked turtle
here's an example
if x is in [2,4] and in [3,5], then x is in [3,4]
because that's set of numbers that are in both intervals
and = intersection
wicked turtle
yea
noble siren
I have used the inclusion exclusion method [ P(A or B) = P(A) + P(B) - P(A +B) ]
I cannot figure out how to rearrange for P(B) for the life of me.
devout snowBOT
I have used the inclusion exclusion method [ P(A or B) = P(A) + P(B) - P(A +B) ]...
noble siren
P(A) is the theory test, P(B) is the practical test
jagged hornet
You have P(A). You have P(A or B) - P(A+B). Let x = P(B).
What is P(A + B) in terms of x? Solve for x.
jagged hornet
Which part are you lost on? What I said you already have? Or on solving P(A + B) in terms of x?
noble siren
to answer the question i think its 0.75 + B right
noble siren
i believe its when they don't occur at the same time and have different probabilities?
jagged hornet
P(A + B) is the probability of both A and B happening.
noble siren
alr i understand that
jagged hornet
i believe its when they don't occur at the same time and have different probabil...
They can occur at the same time, but they do not affect each other. For example, if I rolled a die and flipped a coin simultaneously the outcomes would be independent.
jagged hornet
alr i understand that
Do you know how to express P(A + B) in terms of P(A) and P(B) when they are independent?
noble siren
no i dont think so
noble siren
They can occur at the same time, but they do not affect each other. For example,...
alr i get this
jagged hornet
no i dont think so
When A and B are independent, their outcomes do not affect each other. So P(A + B) = P(A)P(B).
Like how rolling a 6 and heads would be 1/6 * 1/2.
noble siren
oh so they multiply
OHHH
alr i get a mistake i made
i added both probabilities when im meant to multiply
adding shouldnt work because it can add to more than one i think
i still dont get how im meant to find P(B) tho
jagged hornet
Yup. Adding them gives you the P(A) + P(B) part of the equation. But you have to multiply to find P(A +B)
noble siren
the expression A + B doesnt mean the literal chances added, it means the chance of both of them coming true
yeah i misunderstood that alot lol
jagged hornet
You have P(A). You have P(A or B) - P(A+B). Let x = P(B).
What is P(A + B) in t...
Try solving for P(A + B) in terms of x. Once you do, you obtain a linear equation from your inclusion-exclusion formula.
I'm sure you know how to solve those.
noble siren
I'm sure you know how to solve those.
yeah
correct me if im wrong, 0.47 = 0.75 + x - (0.75*x)
jagged hornet
You got it
noble siren
i can probably make x the subject from there
jagged hornet
just solve for x and you're done
noble siren
ill put my working here rq
0.75 * x = 0.75 + x - 0.47
oh
if i divide by 0.75 and take away x i get 0
π
jagged hornet
correct me if im wrong, 0.47 = 0.75 + x - (0.75*x)
Ah wait I just realized I missed a small error here.
P(A or B) - P(A + B) = .47
not P(A or B) = .47
that's why you got a negative probability
You have to fix that bit
noble siren
ngl i feel like i over complicated this cuz its GCSE content
noble siren
P(A or B) - P(A + B) = .47
not P(A or B) = .47
that's why you got a negative pro...
alr
noble siren
P(A or B) - P(A + B) = .47
not P(A or B) = .47
that's why you got a negative pro...
my brain is fried tryna understand this part
jagged hornet
if i divide by 0.75 and take away x i get 0
That wouldn't happen, because when you divide by .75 on one side you also have to divide by .75 on the other. However, solving that version of the equation would give you a negative probability. π
If you get confused, my suggestion would be to clear denominators on x. For example, multiplying by 4 would have given 3x = 3 + 4x - 1.88 with the wrong version of the equation.
noble siren
That wouldn't happen, because when you divide by .75 on one side you also have t...
my bad its 1:30 AM rn
jagged hornet
my brain is fried tryna understand this part
The probability of passing just one is the probability of passing (i.e. P(A or B)) minus the probability of passing both (i.e. P(A + B)).
So you have to subtract one more P(A+B) from both sides of your inclusion-exclusion formula to get values you know.
noble siren
ill draw out a probability tree so i can visualize it rq
the notations make it 10x harder.
ima go sleep π
too late i cant understand it
.close
lofty sinew
quick question for proving limits using epsilon delta definition,
im doing limt x->4 (x+2) the limit is obviously 6
and when i go to find |x-c| in f(x)-L it just goes to |x-4|=delta
is it then ok to make delta=epsilon?
devout snowBOT
quick question for proving limits using epsilon delta definition,
im doing limt ...
lofty sinew
real ones rise up answer this
guys this problem just is NOT solving itself
<@&286206848099549185>
thoughts on this
pine rock
what
lofty sinew
ill write it out rq
pine rock
provide definition for a delta epsilon of a function
pine rock
for any e>0 there is a d>0 : |x-4|<d => |f(x)-6| < e
lofty sinew
yeahy eah no i get how to prove it using epsilon delta definition
my only question is that normally you choose delta to equal (lets just say in this case) epsilon/3, saying that we found 3delta previously
it makes sense to choose that in that case
so 3delta = 3(epsilon/3) = epsilon
but in the case of my problem i had to choose detla = epsilon, then say right after that delta < epsilon
i just find that kinda silly yknow
pine rock
well, |x-4| <d => |x-4|<e if e=d
so we found d for any e where stuff holds
so why not
lofty sinew
ok then theres really no issue then
idk i just thought that the end statements in that strach work were just mildly invalidating each other
ig i was just confusing myself
.close
devout snowBOT
devout snowBOT
Available help channel!
solar prism
Could someone double check my work on this integral?
devout snowBOT
Could someone double check my work on this integral?
neat solstice
,rotate
woven radishBOT
devout snowBOT
@solar prism Has your question been resolved?
solar prism
dv=e^-x is kinda cursed
Isn't that the standard notation for integration by parts?
neat solstice
hmm
not really
i see what yyou mean though
with dv=e^-x we have an infinitesimal value set equal to a non infinitesimal value
in 99 out of 100 cases that is a bad idea
and that 1 case hasnt crossed my path yet
we have an integral over fg' and can rewrite it to
fg-int(f'g) where int is the integral
so e^-x is not dv, but dv/dx or v'
but the result looks good as far as i can tell
summer dome
Can someone please help me with question 20?
devout snowBOT
Can someone please help me with question 20?
delicate wolf
by using slope formula
y2-y1 / x2 - x1
we can see that the slope of the line is -2
since we're given the endpoint and the midpoint
we gotta find the left one the starting point
to get from mid point to end point the x value changed by 1 so we know that to get from mid to first point we also gotta change x value by 1
to get form mid to h x incerasedd by 1
so mid to g would be decreased by 1
and since slope is negative
increasing x by one would increase y by 2
summer dome
How should I start it then with y2-y1/x2-x1?
delicate wolf
sorry discord makes like math notation hard
when i say like y2 and x2 i mean like the x and y values of your second point
so if we say point 1 is H and point 2 is M
x1 is -3, y1 is 7, x2 is -2 and y2 is 5
so 5 - 7 / -2 - (-3)
5 - 7 = -2
-2 - (-3) = 1
-2/1 = -2
sorry i have no idea of how we did this
this was just my idea of how I'd do it without remembering like any special method
summer dome
Can I have help with 20
dapper nest
20?
summer dome
Question 20
summer dome
dapper nest
oh
half pawn
wait
pine rock
(-1,3)
summer dome
But the key says the answer is (-1,3)
Is the key wrong?
I just wanna make sure before doing it
jaunty bobcat
what would be the quickest way to find the first zero of a polynomial to do synthetic division after doing the p over q chart
devout snowBOT
what would be the quickest way to find the first zero of a polynomial to do synt...
fervent birch
show problem
boreal herald
quadratic equation
boreal herald
lol why not
jaunty bobcat
Like it says trial and error
But what would be the fast west way after doing the p over q chart to find the first zero
weak cove
ah I see
jaunty bobcat
Cause there are so many and I canβt just plug them in cause they are fractions
boreal herald
do you not see a pattern
weak cove
your question is basically, given a polynomial that is of degree >=3, how can you get those first roots so you can then use them for the polynomial long division?
jaunty bobcat
your question is basically, given a polynomial that is of degree >=3, how can yo...
synthetic division
but yes
boreal herald
you're asking how to solve for the zeros instead of guessing and checking?
are you asking about that part or the synthetic division part
jaunty bobcat
your question is basically, given a polynomial that is of degree >=3, how can yo...
because if i did trial and error i could keep on going forever without finding the first root
boreal herald
smoke you already solved for your zeros you shouldnt need to guess and check
jaunty bobcat
are you asking about that part or the synthetic division part
what would be the fast west way after doing the p over q chart to find the first zero
boreal herald
you have it written (2x-1)(3x-2)(3x+1)
jaunty bobcat
smoke you already solved for your zeros you shouldnt need to guess and check
thats the key
boreal herald
anything times 0 is zero
jaunty bobcat
i want to know how to avoid the trial and eror part
cause i can solve it it will just take forever if i dont guess the right zero to do synthetic to
boreal herald
so you are supposed to decide on your own what to divide the polynomial by
and you want to know how you're supposed to come up with what you're dividing by
instead of guessing?
jaunty bobcat
i know what i have to divide by because of the p over q chart, but there are so many to guesss and check
is there a way to use logic to narrow down some of the options for trial and error
boreal herald
im not familiar with a p over q chart and im not sure why youd be guessing and checking anything
jaunty bobcat
im not familiar with a p over q chart and im not sure why youd be guessing and c...
its not guessing and checking
@weak cove can u help me
jaunty bobcat
thats what trial and error is
trial and error for a set number of zeroes
boreal herald
oh okay you're asking how you arise to using (2x-1)(3x-2)(3x+1)
jaunty bobcat
i guess it is guessing and checking in a way but i want to avoid the guessing
jaunty bobcat
oh okay you're asking how you arise to using (2x-1)(3x-2)(3x+1)
no i get that bruh
im simply asking how to avoid the trial and error part for all zeroes and maybe naroow somd down
<@&286206848099549185>
pls
help me
jaunty bobcat
continuos as in?
jaunty bobcat
yes
eager lodge
so if f(a) is negative and f(b) is positive, you know there must be a root between a and b
boreal herald
wouldnt the potential rational zeroes you could use be found using +- factors of the constant form/factors of the leading coefficient
nah nvm
jaunty bobcat
so if f(a) is negative and f(b) is positive, you know there must be a root betwe...
wait
can you explain to me how to narrow down some of the p over q chartt zeroes i found
instead of trial and error all of them until i find one
boreal herald
he just kind of did
if you plug in f(a) and get a positive and plug in f(b) and get a negative then you know that a zero must occur between those two variables
jaunty bobcat
hold on
let me think about that for a second
so if the zeroes were 1, 1/2, and 2 and i plugged in 1 and got + and plugged in 2 and got - i would know its 1/2?
boreal herald
so if you plug in for example 1 into that quadratic and the answer is 2 and then you plug in -1 and the answer is -2 then you know that there lies a zero between 2 and negative 2
no
you would just know that a zero lies between those two numbers
somewhere between them
boreal herald
but tbh i havent done synthetic in like 9 years and idk any short cuts other than just using educated guesses or more complex methods of math
eager lodge
so if the zeroes were 1, 1/2, and 2 and i plugged in 1 and got + and plugged in ...
this sentence is so cursed
makes 0 sense
jaunty bobcat
mb im trying to understand over text what u are meaning
boreal herald
this sentence is so cursed
π
boreal herald
what he said is not a method of truly finding the zeros it just helps your guesses become more educated
and closer
eager lodge
it called mean value theorem I think
jaunty bobcat
what he said is not a method of truly finding the zeros it just helps your guess...
yes that is what i wanted
boreal herald
it called mean value theorem I think
hes doing precalc not calc
eager lodge
They asked for it though
boreal herald
well hes asking for a short cut
jaunty bobcat
yeah i searched it up its too complicated
boreal herald
but there isnt really one it will just become easier the more you do the problems youll pick up on patterns
eager lodge
basically imagine a line and two points, where one is above and one is below the line
horizontal line btw
jaunty bobcat
tangent thing
eager lodge
try to connect the points without touching the line
boreal herald
you have your equation g(x) = 18x^3+3x^2-7x-2 you plug in g(1) and you get 12 you plug in g(0) and you get -2
so that means that the graph crossed through the x axis and a zero occured between the values of 1 and 0
now you have a closer guess
jaunty bobcat
so then i try plugging in zeroes between 0 and 1?
eager lodge
choosing midpoints would be efficient
jaunty bobcat
so that narrows it down to zeroes bet ween 1 and 2 though right
boreal herald
yes
jaunty bobcat
choosing midpoints would be efficient
how?
boreal herald
well it shows that a zero FOR SURE exists between 1 and 0
but you still need to find where it occurs
eager lodge
say you know it's between 0 and 1
jaunty bobcat
but you still need to find where it occurs
yes so then i only plug in values that are between them
eager lodge
and you check 0.9999
jaunty bobcat
say you know it's between 0 and 1
ok
jaunty bobcat
and you check 0.9999
yes
boreal herald
yeah
eager lodge
that doesn't really help
jaunty bobcat
wait what
eager lodge
0.999 is too close to 1
jaunty bobcat
oh
eager lodge
so their values would be close
boreal herald
bisection method
jaunty bobcat
ok thats what u meant
but like a mental midpoint
dont actually have to do the whole thing
eager lodge
mental?
jaunty bobcat
like be like "oh 0=12, 1=-2" so its closer to 1 than 0
boreal herald
it makes so much more sense once you take calculus i hated synthetic division
well you cant really assume that because its not a linear equation
jaunty bobcat
it makes so much more sense once you take calculus i hated synthetic division
synthetic division is easy its the part that leads up to it tahts annoying
boreal herald
but if you know its between 0 and 2 for example then trying 1 would be a good start
jaunty bobcat
so just guess between that
boreal herald
if you wanna learn basic power rule
from calculus
you could find all your zeros like that π
boreal herald
i mean no because your professor will still probably not give you credit for your answers unless you use synthetic division
jaunty bobcat
i mean no because your professor will still probably not give you credit for you...
oh yeah
boreal herald
and using power rule would find your zeros without using synthetic division at all
jaunty bobcat
ill look into it later i guess then
boreal herald
you could use it to maybe double check your work if you have extra time to do some extra learning
but if you're crunching for an exam rn i wouldnt bother
just watch khan academy in that case
jaunty bobcat
but if you're crunching for an exam rn i wouldnt bother
yes
boreal herald
you and me both
jaunty bobcat
just watch khan academy in that case
ok
jaunty bobcat
you and me both
what time is it for u
boreal herald
about to be 1 am
have an actuary science exam at 10 am
which isnt really science its just math
jaunty bobcat
thats like college stuff
damn
its almost 12 am for me so hopefully only another hour and a half
gotta wake up at 6
boreal herald
yeah im a senior in college tryna just get my mathematics minor
jaunty bobcat
cool which college?
boreal herald
if you need any help with other topics lmk i can maybe give u some short cuts but synthetic is pretty out of my mind at this age
UNC
jaunty bobcat
chapel hill?
boreal herald
yessir
jaunty bobcat
aye w thats a great college
jaunty bobcat
if you need any help with other topics lmk i can maybe give u some short cuts bu...
alr thanks
ill solve sample problem with the new trick and post it here in a minute
boreal herald
yeah tbh still not really sure i understood your question or helped at all but you tryig to work one out would probably help
jaunty bobcat
alr it worked
it helped a bit i think
hopefully teacher doesnt throw a long ass question at me i should be fine
these texas teachers are crazy though
thanks
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devout snowBOT
jaunty bobcat
.reopen
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β
jaunty bobcat
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vestal lance
Why is lhs = rhs?
devout snowBOT
Why is lhs = rhs?
vestal lance
Shouldnβt the max value attained in lhs be different because of the squared norm?
wicked turtle
note that x/||x|| is a unit vector, and so is x^T/||x||
vestal lance
Ok, thinking through this
gaunt wing
devout snowBOT
devout snowBOT
@gaunt wing Has your question been resolved?
devout snowBOT
@gaunt wing Has your question been resolved?
gaunt wing
hi
dapper nest
yes
restive river
can you write it a bit clearly? its almost unreadable
devout snowBOT
@gaunt wing Has your question been resolved?
slender stone
what's up with the last sentence?
devout snowBOT
what's up with the last sentence?
slender stone
for power rule, i can imagine that one limit exists and another doesn't, but "all limits involved exist" also applies to the rest of the rules
manic condor
Well, for root rule - if n is even, f(x) has to be non-negative. Right?
zenith jacinth
so the last sentence is just for the seventh rule?
its not a rule
atomic trench
devout snowBOT
pine rock
where x and y are negative
atomic trench
Thanks I will try it then send my working
a<-12c
so if c=1 then a should equal -13
Would this be correct
b<-4/5 so that means b can equal negative one
restive river
Well it wouldn't necessarily equal something. You could say that a < -12, so it could be -13 but also smaller
pine rock
u can just do a=0, b=0, c<0
wooden axle
devout snowBOT
wooden axle
x^2-3x+2<x^2+x+2
mystic scarab
Awesome π
mystic scarab
Yes option A is indeed correct
wooden axle
.close
dire hinge
devout snowBOT
dire hinge
explain someone pls
rugged sparrow
1cm^3=1ml
dire hinge
?
rugged sparrow
"1 centimeters cubed is equal to 1 mililiters"
dire hinge
but isn't a centimeter larger than a millilitre
rugged sparrow
but isn't a centimeter larger than a millilitre
what makes you say that?
dire hinge
"1 centimeters cubed is equal to 1 mililiters"
hold on. Aren't these two different units
rugged sparrow
hold on. Aren't these two different units
yes they are. and that is the conversion factor
dire hinge
what is the conversion factor?
rugged sparrow
1 cm^3 = 1 ml
dire hinge
wbt others
rugged sparrow
conversion factor =1
dire hinge
is this the only factor?
rugged sparrow
like wdym?
dire hinge
like what would 1ml^3 equal to?
rugged sparrow
we can use the basis that 1 cm^3= 1 ml to derive relation in other units
1 cm=(1/100)m
1 cm^3 =(1/100)^3 m^3
1 cm^3=(1/1000000) m^3
thus, 1 m^3=1000000 ml= 1000 L
rugged sparrow
like what would 1ml^3 equal to?
well, there is nothing such as ml^3
a cube has its volume as s^3. So, if the side is 2 cm, then the VOLUME is 8 cm^3
Now can you imagine that we measure side length in mL?
WE CAN'T
rugged sparrow
well, consider a cube of side length 1 cm.
It would occupy 1 mL space of volume
but its volume is also given by s^3 which is 1 cm^3
thus 1 cm^3= 1 ml
in general, this is the only relation that you pretty much need to remember
rugged sparrow
did you get that we can write 2000 cm^3 as 2000 mL?
dire hinge
yes
rugged sparrow
2000 mL = 2*1000 mL
dire hinge
so how many mL in a ton?
rugged sparrow
so how many mL in a ton?
well, you can just get up and say something like "Height of that tree is 69 kgs"
mL and ton are not related
rapid spire
quick horizon
hi
devout snowBOT
hi
To ask for mathematics help on this server, please open your own help channel or help thread. See #βhow-to-get-help for instructions.
quick horizon
Do you want to ask
I don't want to ask anything I am just here to look if there is tutorial on Algebra
BECAUSE I never understand algebra basics
eager lodge
there's always youtube
cosmic lake
devout snowBOT
cosmic lake
someone please help
d and e in the first row
and the question is
"find the maximum and minimum values of the following"
rocky iris
,rccw
woven radishBOT
devout snowBOT
Show your work, and if possible, explain where you are stuck.
cosmic lake
idk what to do when the square is involved tho
agile tide
do u know sin^2 graph?
restive river
Well x^2 will be maximum when the magnitude of X is maximum
agile tide
at least for e, the rationale should be the bigger the denominator, the smaller the overall frac
and smaller denom = bigger fraction
cosmic lake
how would i f ind Max and min tho?
answer says max=1 and min =1/3
makes no sense tho
agile tide
for e?
cosmic lake
yep
agile tide
what's the biggest possible value for cosx
whats the smallest possible value for cosx
dire mirage
how do I find the common ratio for this
devout snowBOT
how do I find the common ratio for this
@dire mirage Has your question been resolved?
jolly bluff
devout snowBOT
jolly bluff
how do I even solve this
I am pretty sure im supposed to rerange it
but im confused on how
jolly bluff
<@&286206848099549185>
woven radishBOT
WhereWolf(ping if needed)
eager lodge
you get this by letting a=t+h
restive river
<@&286206848099549185>
slice bro is the answer -30 or smth?
jolly bluff
you get this by letting a=t+h
where did you get that formuka>
eager lodge
you get this by letting a=t+h
^
restive river
where did you get that formuka>
whats the answer man
jolly bluff
I want to try and understand before I submit the answer
restive river
**WhereWolf(ping if needed)**
this is the basic definition of limits
sorry
differentiation
restive river
so basically the huge ass formula they wrote is nothing but saying that if you differentiate the displacement equation given, u get the velocity
u find the velocity by differentiating the displacement and just plug in t=2 and since 4.9 is a lame number and u got the option of nearest integer, u can take 4.9~5 and plug in 3 to get the answer
jolly bluff
what is d supposed to be
restive river
read it the qn a few more times to understand it
jolly bluff
no
restive river
oww thats a problem
jolly bluff
yes
restive river
u gotta learn differentiation first to solve this
jolly bluff
isnt that later in calc tho?
jolly bluff
bruh why tf is it on my calc hw lol
jolly bluff
ye
restive river
bruh why tf is it on my calc hw lol
give a piece of ur mind to ur teacher the next day then
restive river
then i guess its not unusual to have that
jolly bluff
and the teacher is like fuckign 1000
jolly bluff
wym
restive river
lol
restive river
yup u do ur thing and ill take some time to tell u the steps
well i got it
its easy the limit way as well
jolly bluff
restive river
yup yup yup
jolly bluff
ok good
restive river
absolutely right
jolly bluff
damn
restive river
a not =3
jolly bluff
really
restive river
do as i tell u
jolly bluff
it says t = a
jolly bluff
ok
restive river
ill explain later
jolly bluff
ok
jolly bluff
wat
restive river
write f(a) i mean
jolly bluff
ogh
restive river
done?
jolly bluff
f(a) = t
jolly bluff
f(a) = f(t)
restive river
no bro wait listen to me
jolly bluff
ok
jolly bluff
ok ojne sec
jolly bluff
restive river
yup
jolly bluff
k
jolly bluff
like 500?
restive river
u get what i mean right?
yup
u got it
send me a pic
it should be very easy from here
jolly bluff
restive river
pic?
jolly bluff
restive river
take 4.9 common after removing minus
jolly bluff
wym
restive river
brackets i mean
jolly bluff
jolly bluff
oh so its just a - t?
jolly bluff
isnt -4.9 - (-4.9) = 0?
restive river
yup it is and u take 4.9 common not cancel it
jolly bluff
