i dont know velocity of 2 units oer second
#help-28
twin wolf
thick hedge
you do
thick hedge
i dont know velocity of 2 units oer second
v(0)=2m/s
thick hedge
that's what's given
full forumBOT
full forumBOT
Available help channel!
tall swan
A point on the edge of a car tire is marked with paint, As the car moves slowly, the marked point on the tire varies in distance from the surface of the road. The height In inches of the point is given by the expression h = -8 cos t+8, where t is the time in seconds. What is the maximum and minimum height above the ground that the point on the tire reaches?
full forumBOT
A point on the edge of a car tire is marked with paint, As the car moves slowly,...
@tall swan Has your question been resolved?
torn jolt
A point on the edge of a car tire is marked with paint, As the car moves slowly,...
minimum will be 0 and max will be 8
what's the problem u didn't specify it
full forumBOT
@tall swan Has your question been resolved?
full forumBOT
full forumBOT
Available help channel!
mortal cargo
Just wanted to check if it is right so I can hit full marks, if not I would like advice on how to fix it
full forumBOT
Just wanted to check if it is right so I can hit full marks, if not I would like...
@mortal cargo Has your question been resolved?
full forumBOT
@mortal cargo Has your question been resolved?
open zinc
Just wanted to check if it is right so I can hit full marks, if not I would like...
Your first slope is wrong, the rest looks right
iron torrent
I need help with getting the sum of this cuz I’ve been working on it for awhile but I don’t know how to do it I’ve got the problems down just not getting the sum of this and the assignment is due today this is the last question I need help with
ivory cairn
do you have the actual values of a,b,c,d,e?
you know a = -3, and you know b in terms of a so you can substitute to find the value of b
(repeat for the other variables)
torn jolt
i need some help with precal
full forumBOT
i need some help with precal
rancid harbor
factor the denominator
low echo
Hii
rancid harbor
hold on are you sure this limit is defined?
low echo
This is not defined
zenith dome
doesnt exist
low echo
Cant exist
granite torrent
that doesn't mean it's not solvable algebraically.......
rancid harbor
This is not defined
That's why i asked, i'm kind of surprised at undefined limits like this in precalc
torn jolt
yk what that makes sense i graphed it out it was infinite
torn jolt
normally they give you something with a numerical answer
not me honors cuz i had to go and excel😭
thank you
rancid harbor
how so? just change it to Xcosx?
my first idea would be to factor out x^2 in the denominator
torn jolt
most likely you see me again in like 3 min Lmao
rancid harbor
oh do you still want to solve algebraically?
torn jolt
oh do you still want to solve algebraically?
i was trying to but if it is not defined there is no point
full forumBOT
full forumBOT
Available help channel!
frigid axle
Hi can someone help me with confidence intervals?
full forumBOT
Hi can someone help me with confidence intervals?
frigid axle
full forumBOT
@frigid axle Has your question been resolved?
slender pond
how do i answer b?
velvet sedge
Use periodic property of tangent
slender pond
.close
full forumBOT
full forumBOT
Available help channel!
sour harbor
@fast peak the previously channel is claimed but can u help me further here.
how is max{0,5} = 0 and -min{0,5} = 5
severe linden
<@132304137583984641> the previously channel is claimed but can u help me furthe...
its not
severe linden
u can help me with the question?
Can you explain?
sour harbor
hi is there a mistake here? why is the left side same as the right side. if u take x_j = 5 for example with the right constraint it is still valid
severe linden
hi is there a mistake here? why is the left side same as the right side. if u ta...
what do you mean by rihgt constraint?
looks fine to me
severe linden
why not
idea is to represent real number as difference into 2 positive real numbners.
sour harbor
idea is to represent real number as difference into 2 positive real numbners.
uhh ye I understand that part
severe linden
the constraint x_j^- >= 0
This kind of stuff really just means it's a positive reall number.
if it was different it would be allowed ot be negative which is not wanted.
severe linden
this idk, it seems superfloues to me for everything that comes later
I suppose it is onmly in context.
sour harbor
I suppose it is onmly in context.
can I ask 1 more thing, a convex set and convex function are these both different definition like is there any relation between them? I feel like they are totally different things
severe linden
this is the whole context
Sorry; I can't help with this. I am not really sure what is being done here. I would need a lot more context to tell why this is done here.
The idea of splitting reals in 2 parts makes easily sense though.
severe linden
can I ask 1 more thing, a convex set and convex function are these both differen...
This I can help with.
Essentially a convex function is just a function such that the set of the form { (x,y) | y > f(x) } ( the points above the function) is convex.
sour harbor
The idea of splitting reals in 2 parts makes easily sense though.
ye I tried to think it as :
if x_j is positive
max{0,x_j} is just x_j and the - min{0,x_j} = -0 which means x_j = x_j + 0 = x_j
if x_j = 0
max{0,x_j} = 0, - min{0,x_j} = 0 x_j = 0 + 0 = 0
if x_j = negative
max{0,x_j} = 0, - min{0,x_j} = x_j so u get x_j = 0 - x_j = -x_j which is also correct
sour harbor
Essentially a convex function is just a function such that the set of the form {...
I know what coonvex is graphically for set and for function
but is there any relation between these definitions?
severe linden
but is there any relation between these definitions?
That is what I tried to explain ,aymbe reread it.
I am saying a function is convex exactly if the set { (x,y) | y > f(x) } is convex as a set.
sour harbor
I am saying a function is convex exactly if the set { (x,y) | y > f(x) } is conv...
uhh this is a bit hard to understand tbh
sour harbor
I am saying a function is convex exactly if the set { (x,y) | y > f(x) } is conv...
so this is a convex function for example
ohh
wait
i get it
sour harbor
I am saying a function is convex exactly if the set { (x,y) | y > f(x) } is conv...
so because the whole red part which is the set { (x,y) | y > f(x) } is convex, the function is convex?
severe linden
yes
severe linden
wait below the line should that be red marked too?
the connecting line yes.
My f is convex because yellow set is convex
Now it wouldn't be
sour harbor
Now it wouldn't be
oh i get it noww so the convex function definition comes from the convex set definition?
severe linden
severe linden
oh i get it noww so the convex function definition comes from the convex set def...
yeah, that is probably the origin for the termonology.
sour harbor
yeah, that is probably the origin for the termonology.
do u also know this
this means that the domain is not divided in sub intervals right?
severe linden
do u also know this
no
sour harbor
it's 1 connecting interval?
severe linden
well depends
sour harbor
well depends
why does it dpend?
severe linden
I mean it depends on your definition.
I think you could say a function is convex if it satisfies the convity definition
but it simply not defined in some region
or maybe you just exclude any functions with non-convex domain right away
Wikipedia does exclude it
sour harbor
https://wikimedia.org/api/rest_v1/media/math/render/svg/0bdfcf13cf1d1d1548d52c28...
ye I do understand this
this basically says
severe linden
they are jsut saying that this convexity definition needs f defined for all intermeidate points
sour harbor
they are jsut saying that this convexity definition needs f defined for all inte...
the line has to be above the f(x)
sour harbor
they are jsut saying that this convexity definition needs f defined for all inte...
but the question was why is the convex function also having a convex domain right?
oh wait that's what u are saying
sour harbor
they are jsut saying that this convexity definition needs f defined for all inte...
so the convexity defintion needs f defined for 1 connecting interval of domain right?
like a convex domain can only be smth like 0 <x < 5 or smth
it can't be x>= 3 and x < = -3 or smth right?
severe linden
like a convex domain can only be smth like 0 <x < 5 or smth
it can't be x>= 3 an...
not with WIkipedia's (and probably the most common) definition
theoretically we could jsut say also we ignore points were we cannot check the condition.
For example for contuity it is common to do just that
fast peak
<@132304137583984641> the previously channel is claimed but can u help me furthe...
0=max(0,-5) and 5=-min(0,-5)
sour harbor
0=max(0,-5) and 5=-min(0,-5)
but if u take x_j = 5 it is still valid right, x_j^- and x_j^+ are both positive
severe linden
but if u take x_j = 5 it is still valid right, x_j^- and x_j^+ are both positive
it is
nobody said it was not
sour harbor
0=max(0,-5) and 5=-min(0,-5)
this is if u take x_j = -5
sour harbor
nobody said it was not
uhh but I am pretty sure the left side says that x_j should be negative
fast peak
well x_j^+ and x_j^- will obviously depend on x_j
severe linden
uhh but I am pretty sure the left side says that x_j should be negative
thatÄs a precondition
it's like saying, when milk is out, there will be milk at the supermarket and go buy it there.
This does not mean that if milk is not out
then there will also be no milk at the supermarket
sour harbor
well x_j^+ and x_j^- will obviously depend on x_j
I know that, but basically x_j >=/ 0 should be eequal to the whole right part right
severe linden
There is always milk at the supermarket (hopefully)
It's just we don't care if we don't need it.
sour harbor
like a convex domain can only be smth like 0 <x < 5 or smth
it can't be x>= 3 an...
also the x>= 3 and x< = 3 how can that be a convex doomain btw
severe linden
I don't know the context but I am pretty sure the idea here is that the x_js somehow need oto be positive. If they already are, great, we are happy. If they are not, then we do this decomposition.
fast peak
if xj>=0 already, then we dont need to care about it
we only need to worry if x_j is not >=0
and only in that case we need to do this replacement step
sour harbor
and only in that case we need to do this replacement step
also can I ask about this too
so the combination of evert vertice(endpoint) can give u every point inside of the endpoints
I can imagine that for a square
like
fast peak
later the simplex algorithm will assume that all variables are >=0. so thats why we do these things
sour harbor
later the simplex algorithm will assume that all variables are >=0. so thats why...
gotcha, can u help me with this new question too btw
fast peak
you can imagine it as a sort of weighted average
sour harbor
ye
fast peak
of the vertices
sour harbor
of the vertices
so for example u got the vertix A and D
then u get the trinagle
as ur
poissible points
right
but I can't realy imagine it if u got 5 end points
fast peak
whats the difference between 3 or 5 points
fast peak
i have to go. cya
full forumBOT
@sour harbor Has your question been resolved?
full forumBOT
full forumBOT
Available help channel!
cold sail
this may be a stupid question but
full forumBOT
this may be a stupid question but
lime spire
You can not derivate a function to herself
cold sail
y not btw
keen vector
would d/dx (x(t)) = 1
yes
keen vector
You can not derivate a function to herself
herself?
hot herald
dx/dx = 1
keen vector
ru assuming it's gender
lime spire
Ahhahah i guess
hot herald
are you saying it's impossible to find
d/dx (x)
?
lime spire
are you saying it's impossible to find
d/dx (x)
?
that is a good point ahahaha
cold sail
but in this case x(t) is a function of t so it only has t variables
which is why im a bit confused
graceful loom
I am thinking of its partials.
hot herald
x = stuff with t
applying the derivative operator
d/dx (x) = d/dx (stuff with t)
d/dx (x) itself on the left side will be 1
keen vector
i mean this is kind of abusive notation anyways
but yeah generally in this case u would say d/dx is 1
lime spire
Actually using the definition of derivative i can't get that result
In the case d/dx x the x is a function y = x
so d/dx y(x)
graceful loom
What is the question?
cold sail
it's not a question it's just something i came up in my head which i am confused about
lol
lime spire
The problem should be if the vaqriable of a function can be the function itself
definitely can not
You can derive a function only by the variable on which it depends the function ù
graceful loom
is the question related to taking the derivative, for example d/dx, to a function of t?
lime spire
would d/dx (x(t)) = 1
question
hot herald
that doesn't stop you from apply a certain derivative operator
you're implying that given something as simple as
y = x
that you can't determine dy/dx or dx/dy
lime spire
wait given y(x) dy/dx is well defined but not the second one
hot herald
well how are you getting dy/dx
hot herald
and what's the result of that?
lime spire
y'(x)
hot herald
what's the result of that for
y= x
lime spire
that is 1 but ONLY because y depends on x in a linear way
hot herald
and how did you get 1
hot herald
regardless the end result is the same
lime spire
nope you CAN'T derive a function to itself
hot herald
applying the derivative operator
d/dx (y) = d/dx (x)
applying whatever valid rules you want
d/dx (x) is 1
the left side is irrelevant to that calculation
lime spire
yes but because y=x the fucking variable is x
hot herald
so?
hot herald
who's writing y(y)
lime spire
d/dx x
if x doesn't depends on x the derivative is 0
but if y= x then d/dx y(x) = 1
hot herald
derivative is 1 because d/dx (x) is 1
whether x can be expressed on terms of another variable is irrelevant
hot herald
I mean it's pretty important when applying chain rule and doing stuff like implicit differentiation
lime spire
when you use chain rule or whatever the function depends on x and you are deriving on x
wait a minute
given f(x,y,z) how is it defined d/df f ?
lime spire
it's not defined
as the single variable simply
keen vector
u mean x,y,z are functions of t?
lime spire
note that the variable to which you derive indicates the direction in which you are defining the change ratio of a function
keen vector
yes
lime spire
u mean x,y,z are functions of t?
x, y, z are generally the variable of the function
keen vector
yes
fathom saddle
It's strange to imply that you can't take the derivative with respect to y, just because y can be expressed in terms of x.
full forumBOT
@cold sail Has your question been resolved?
full forumBOT
@cold sail Has your question been resolved?
haughty moat
I used conditional exchange on step 1 then demorgans on step 4 so far but i dont know where to go from there
full forumBOT
I used conditional exchange on step 1 then demorgans on step 4 so far but i dont...
@haughty moat Has your question been resolved?
full forumBOT
@haughty moat Has your question been resolved?
full forumBOT
full forumBOT
Available help channel!
rotund shore
How do I do question 2
full forumBOT
How do I do question 2
hybrid zephyr
integration is area under the curve
rotund shore
Yh
But like I’m not really sure about the x lines
And also there is no y axis which I think is needed for the last 2 parts
dreamy palm
They give you the values of each area
hybrid zephyr
They give you the values of each area
yes
rotund shore
Do I need to do anything with that info it gave about the lines of x
dreamy palm
@hybrid zephyr
hybrid zephyr
yes?
rotund shore
Do I need to do anything with that info it gave about the lines of x
This
hybrid zephyr
the question itself is 'you will not be able to find one of these'
which do u have difficulty in finding
?
rotund shore
iii and vi
hybrid zephyr
the 3rd one
u can get the 3 out of integral
now it is 3integral
6 also same
get -1 out
dreamy palm
the 3rd one
What about all that about the function be hounded
hybrid zephyr
and how were u able o do v?
dreamy palm
Bounded
rotund shore
and how were u able o do v?
I haven’t done all of it yet just tryna figure out if I can or not
hybrid zephyr
What about all that about the function be hounded
??
rotund shore
Yh if u read it
hybrid zephyr
I haven’t done all of it yet just tryna figure out if I can or not
ohh
rotund shore
It talks about x= 2(n-1) and x =2n
hybrid zephyr
Now that it’s 3 integral
yes
hybrid zephyr
integral 4to6 f(x) is?
hybrid zephyr
Perhaps you have to translate the numbers
dude no
hybrid zephyr
integral 4to6 f(x) is?
@rotund shore
dreamy palm
Oh I’m tripping
rotund shore
I don’t think that’s a question
dreamy palm
It’s just defining the domain of the function
hybrid zephyr
I don’t think that’s a question
what?
dreamy palm
The x equations are just saying the Rn function is only valid over the values shown in the graph
rotund shore
None of them have 4 to 6
hybrid zephyr
None of them have 4 to 6
what is R3?
hybrid zephyr
The x equations are just saying the Rn function is only valid over the values sh...
yes
rotund shore
24
rotund shore
4 to 6
hybrid zephyr
thats what u need right?
rotund shore
Well Yh but it says 3(fx)
hybrid zephyr
um
hybrid zephyr
hybrid zephyr
Cos it will be negative?
u dont know what f(-x) is going to be
hybrid zephyr
multiply
hybrid zephyr
....
hybrid zephyr
no
f(-x) is not -f(x) everytime
for example cosx
or x^2
here f(-x) = f(x)
and for x^2 - x it is not both
so we cant say
rotund shore
Oh
hybrid zephyr
yep
hybrid zephyr
yes
hybrid zephyr
Alr thanks
np
rotund shore
.close
full forumBOT
full forumBOT
Available help channel!
slim folio
full forumBOT
slim folio
May I know actually how to get the S_n?
I know it should be geometric series, but I can’t see how it becomes that formula
hybrid zephyr
ok so assume u have general gp
which is a, ar, ar^2, ...
let Sn = a + ar + ar^2 + ... + ar^n-1
rSn = ar + ar^2 + .... + ar^n
subtract both
Sn(r-1) = ar^n - a (as other terms will get canceled)
so Sn = a(r^n - 1)/r-1
@slim folio
full forumBOT
@slim folio Has your question been resolved?
strong merlin
full forumBOT
strong merlin
not sure how to get started
full forumBOT
@strong merlin Has your question been resolved?
strong merlin
.close
full forumBOT
full forumBOT
Available help channel!
naive sandal
Can someone explain to me how this works?
full forumBOT
Can someone explain to me how this works?
naive sandal
I am trying to domy assingments but I have no idea how it works, it just gets me confuse
full forumBOT
@naive sandal Has your question been resolved?
sacred rivet
fossil river
Can someone explain to me how this works?
just focus and understanding the notation and being able t construct truth tables. I would recommend you refer to Discrete Maths by Susanna E.P.. Solutions can be found on quizlet.com. Only mistake in the logic section of the textbook is "and" has higher precedence than "or"
full forumBOT
@naive sandal Has your question been resolved?
naive sandal
just focus and understanding the notation and being able t construct truth table...
I kinda get it now but there is a huge problem here
I must be tripping but look at this question
HOW AM I SUPPOSE TO GET THE ANSWER
It doesn't even follow the logic
or am I wrong?
I had to resequence the arrangment of the question
Here is the table can someone pls help, I am stress out rn
Wait unlesss it is not valid....
This is the original statement
.close
full forumBOT
full forumBOT
Available help channel!
peak dome
full forumBOT
peak dome
i have a question shouldnt it be 15 + 2?
because the integral of v(t) from 3 to 0 is S(3) - S(0) and S(0) is -2
so 15 + 2
kindred grove
s(0) + (s(3) - s(0)) = s(3)
s(0) is -2
s(3) - s(0) is your integral, 15
@peak dome
so -2 + 15 should be the answer
full forumBOT
@peak dome Has your question been resolved?
full forumBOT
@peak dome Has your question been resolved?
cunning bane
full forumBOT
cunning bane
How do I do b
random shoal
How do I do b
Do you know differentiation?
And how to calculate whether the function is increasing or decreasing from that?
cunning bane
Yes
cunning bane
Do you know differentiation?
I think I just don’t understand the question
random shoal
I think I just don’t understand the question
What they are asking is h(X)
Which is distance between fx and gx
So fx-gx
Is h(X)
lofty vine
I know you're not asking about it but how did you find B?
random shoal
So fx-gx
Now differentiaten this and put X=0.5
They are asking vertical distance meaning, distance at same x
cunning bane
I know you're not asking about it but how did you find B?
Graphing calc
Cause it’s calc active question
cunning bane
Which is distance between fx and gx
How’s it the distance between that?
random shoal
How’s it the distance between that?
Like see the graph
Vertical distance
Is f(X)-g(X)
full forumBOT
@cunning bane Has your question been resolved?
quartz scroll
full forumBOT
quartz scroll
<@&286206848099549185>
full forumBOT
@quartz scroll Has your question been resolved?
wild gate
i ss'ed from original chemistry tutor's video lol
lol, i was tryna figure out cause i love the organic chem vids
tiny kernel
hi can anyone help me with some algebra?
full forumBOT
hi can anyone help me with some algebra?
tiny kernel
i need some help with the second grade systems
torn jolt
u should just post it
tiny kernel
oh ok ty
it seems easy at the beginning
but after i try doing it i get stuck
heres my process
it should result
lilac flume
heres my process
how does 3 become -3
tiny kernel
changing him place
lilac flume
3 is already on the rhs side n positive
you r only transposing positive 2y
which when brought to rhs becomes negative 2y
tiny kernel
im not getting it sorry
lilac flume
hmm fine ill go slow
tiny kernel
ty
for the 3
i changed it place so after i get all the numbers without an y i can easly calculate the solution and bring it to the other side
lilac flume
here 3 is already on the right side
tiny kernel
ye
lilac flume
hm now we r trying to get the value of x
so that
we can substitute it in the first eq
like
lilac flume
ye
so wt i mean by saying that we r bringing 2y on the other side
is
subtracting 2y on both sides
x+2y-2y = 3-2y
we do this
full forumBOT
full forumBOT
Available help channel!
clever turret
$V=l_{1}l_{2}l_{3}$ so
$V+\Delta{V}=V(1+\lambda\Delta{T})=l_{1}(1+\lambda\Delta{T})l_{2}(1+\lambda\Delta{T})l_{3}(1+\lambda\Delta{T})$
glossy valveBOT
BobTheBuilder
clever turret
I don't understand why this can be written this way
for example if I had V=324 and that my $(1+\lambda\Delta{T})=(1+2)$
then it would be $V*(1+2)=(324)(1+2)=3(1+2)2(1+2)4(1+2)\neq $72
glossy valveBOT
BobTheBuilder
main gust
y would u multiply (1+2) thrice when u have it only once?
clever turret
wdym
main gust
(324)(1+2) is not equal to 3(1+2)21+2)4(1+2)
clever turret
i know
but
$V+\Delta{V}=V(1+\lambda\Delta{T})=l{1}*(1+\lambda\Delta{T})l{2}(1+\lambda\Delta{T})l{3}(1+\lambda\Delta{T})$
glossy valveBOT
BobTheBuilder
main gust
i think the flaw here
the coeffecient of linear expansion isnt same as cubic expansion
like the lambda in v(1+lambda delta t ) is not same as in the l on rhs
if u get what im saying?
clever turret
mmm no
main gust
$V+\Delta{V}=V(1+\gamma\Delta{T})=l{1}(1+\lambda\Delta{T})l{2}(1+\lambda\Delta{T})l{3}*(1+\lambda\Delta{T})$
glossy valveBOT
Shi Tensai
main gust
it cant be lambda on both sides unless lambda is 0
glossy valveBOT
BobTheBuilder
full forumBOT
@clever turret Has your question been resolved?
full forumBOT
@clever turret Has your question been resolved?
clever turret
.close
keen urchin
need help
keen urchin
need help
I need help solving a word problem that required higher knowledge of sigma notation
full forumBOT
@keen urchin Has your question been resolved?
placid kayak
I feel stupid for not knowing how to do this
full forumBOT
I feel stupid for not knowing how to do this
placid kayak
Calculus 1 btw
I thought I could just find the integral of the equation and plug in t but that did not work
placid kayak
you should find an integral
uhh maybe I just used wolfram alpha and I need to actually know how to do it
nvm its just this right?
cus chain rule
but that doesnt exactly help with the answer
static bramble
that's the derivative
placid kayak
that's the derivative
I honestly forget how to do this
static bramble
you forgot how to integrate this?
placid kayak
yes
static bramble
try a u-sub
placid kayak
try a u-sub
even if I set this up right (which I probably didnt) I dont know how to continue
static bramble
then you need to review how u-subs are done
placid kayak
can you help me?
static bramble
i am helping you
placid kayak
ok so can you kind of explain where to continue?
static bramble
if you don't know how to continue, then you need to review your material on u-substitutions
placid kayak
if you don't know how to continue, then you need to review your material on u-su...
I mean I could do that, but im already here with you, who knows how to do u substitution, and since I have done u substitution in the past I would probably be able to get it done with some of your guidance
static bramble
so you could go back and do the review yourself, but you'd rather have me do it for you
smoky stump
smoky stump
I found this is it accurate, seems right to me
thats correct
smoky stump
I feel like I desperately need a review
this is also right.
placid kayak
well yea I was just asking for guidance with the u substitution because I clearly showed where I was stuck at
ok
so I got (20/0.02)e^0.02(5), which gives 1105 which is not an answer choice
the equation itself was (20/0.02)e^0.02(t), which seems right to me but it appears as though it's wrong. Where did I go wrong?
placid kayak
the equation itself was (20/0.02)e^0.02(t), which seems right to me but it appea...
yea this is defniitely the integral but I genuinely dont know why when I plug in 5 for t, it just doesnt give a reasonable answer
full forumBOT
@placid kayak Has your question been resolved?
placid kayak
<@&286206848099549185>
smoky stump
I found this is it accurate, seems right to me
make it similar to this
placid kayak
make it similar to this
I got this (20/0.02)e^0.02(t)
and yeah it's the integral, but when I plug in 5 for t I get some fraud answer thats like 1105
placid kayak
wym
smoky stump
u sub
placid kayak
so the way that I got the integral already is wrong?
smoky stump
no but if you want it easier do u-sub
static bramble
yea this is defniitely the integral but I genuinely dont know why when I plug in...
you're computing $\int_0^5 20e^{0.02t} \dd t$
placid kayak
yes
glossy valveBOT
Steakanator
static bramble
you've antidifferentiated, but you don't just plug in 5
placid kayak
OHHH
right I gotta subtract it from 0
so I even though I already have the antiderivative which is (20/0.02)e^0.02(t)
I have to take it for t=5, then subtract it by t=0
so then the answer would be 105
right?
]
static bramble
if that's what your computation gives you
placid kayak
.close
full forumBOT
full forumBOT
Available help channel!
wraith river
can someone teach me what this means?
full forumBOT
can someone teach me what this means?
somber niche
Have you done any kind of vector addition before?
somber niche
It's an opposing force that balances the forces acting on an object
so if I'm pushing on something with 5N, the equilibrant would be an opposing force of 5N which would nullify my action
I assume this is a statics problem?
somber niche
Wow lol
well let the x axis be east west and y axis be north south
You can write the first vector as (5, 0) right?
wraith river
Its 5 + 12 ?
somber niche
nooo
wraith river
wait
somber niche
yes
to get the magnitude of the vector
the vector itself is (5, 12)
you get the magnitude with the pythagorean theorem
now what vector would balance this one?
a vector with which, when this one is added together, gives (0, 0)
wraith river
the equilibriant?
somber niche
well it would have magnitude 13 acting in the opposite direction
to be more precise, it would be (-5, -12)
if you applied pythagorean to it you'd get 13
this is because the magnitude of a vector doesn't tell us about it's direction, unless we accept some convention
so the vector notation is more precise
wraith river
ohh ok
somber niche
Now do part b on your own
wraith river
okay okay
wraith river
Now do part b on your own
holy crap
why did i think 9^2 is 36 ?????? im braindead..
wraith river
wraith river
also the equilibrant has to oppose the resultant force
That was just me figuring out how to add a vector thats tail to tail
somber niche
Ye so here you have (-9, 0) + (0, -12) = (-9, -12)
and so the equilibrant is (9, 12)
wraith river
ooh ok
so the eqb is the positive of the resultant?
do yk how i can answer htis question?
somber niche
so the eqb is the positive of the resultant?
It's essentially the opposite sign
so if the force is (a, b)
the equilibrant is (-a, -b)
umm for question 6 you are not given any information about the angles under which the forces act
wraith river
this is what my teavher did
somber niche
technically, all of those forces could produce equilibrium when put under the right angles....
oh
nvm
wraith river
I dont understand what they mean by could produce equilibrium
How do I know if they can
somber niche
if they can be the sides of a triangle
essentially
yeah c couldn't, my bad
wait
actually
hold on
yeah
because the sum of 2 sides has to be greater than the third
so c doesn't make a triangle
and therefore there are no angles under which they'll make equilibrium
wraith river
because the sum of 2 sides has to be greater than the third
can i pick any two sides or why is it specifically the third
nvm i unerstand
wraith river
sorry i just made you help me with 2 homework questions 😭
somber niche
have to be greater than the third
somber niche
So let's have our force act on the baseline
as in
the x axis
for example
then f1 can be written as (6, 0)
assuming the second force is acting at a positive angle
we can write it to be (8 * cos(60°), 8 * sin(60°))
now just do the usual
next mural
full forumBOT
somber niche
How would you approach this?
next mural
what do you mean
full forumBOT
@next mural Has your question been resolved?
full forumBOT
full forumBOT
Available help channel!
west stirrup
help
west stirrup
do u do financial maths?
somber niche
4th time today
somber niche
"the nearest cent" 
west stirrup
do you have a finance calc?
somber niche
Sorry, I don't know this, someone else might
west stirrup
alr
open zinc
i need help with b
Can you solve part a?
open zinc
do you have a finance calc?
Okay, do you know how to use the “payment” or ‘pmt’ function?
west stirrup
yea
just not sure if we are solving for fv or pmt
for ii
i have the answers of that will help
just not sure how to get there
open zinc
Is it not the same as b.i ?
open zinc
They don’t use the geometric mean for their interest rates smh… though I’m not sure where these last 43 cents are coming from… I suspect it has to do with the ‘as close to the regular payment as possible’
west stirrup
yea its a tough one
open zinc
How did you find a.i ?
west stirrup
open zinc
Right but that’s the same as the number they gave… is a.i different?
open zinc
Yeah, but in a they give 5253.39 and a.i is asking for final pmt, so is it the same or different?
west stirrup
These are the answers
sage stream
These are the answers
You liar smh it's 4174.54 not 4175.54
open zinc
You liar smh it's 4174.54 not 4175.54
Do you see how to solve it?
open zinc
This is wrong
sage stream
,w 4,086.69+87.86
glossy valveBOT
sage stream
Probably some rounding diff but same thing
sage stream
These are the answers
Oh
Lmao
You just solve for FV setting n=59
The interest payment on that balance by multiplying 2.15%
Add the 2
sage stream
you minus it from 4175.11
That too
west stirrup
anyway thanks for the help!
sage stream
👍
west stirrup
@open zinc, ty for ur efforts
full forumBOT
Available help channel!
minor bough
How many integer values of $x$ satisfies [
\log_5\frac{x^2-7}{216}<\log_6\frac{x^2-7}{125}
]
glossy valveBOT
Mildew
minor bough
expanding this yields me pretty ugly inequation
i do notice 216 = 6^3, 125 = 5^3 though
but not sure what to do with those information
random shoal
How many integer values of $x$ satisfies \[
\log_5\frac{x^2-7}{216}<\log_6\frac{...
Hey
First make it, $\log_5 (x^2-7) -\log_6 (x^2-7) < 3(\log_5 6-\log_6 5)$
minor bough
right, thats also what i got
glossy valveBOT
Monarch of Eternal Night
random shoal
Now use the log properties
Use change of base rule
This one to convert it to $\frac{log (x^2-7)}{log 5}-\frac{logx^2-7}{log6}<3(\frac{log6}{log5}-\frac{log5}{log6})$
glossy valveBOT
Monarch of Eternal Night
random shoal
@minor bough
random shoal
Sure
minor bough
.close
full forumBOT
full forumBOT
Available help channel!
quaint prawn
full forumBOT
quaint prawn
To prove the group action is faithful I need to find the associated group homomorphism
normally, if this was finite I'd say it's something like f:F*-> S_n where n is the order of F
but F being a field need not be finite
so where is the associated group homomorphism mapping into?
I think we'd still define it by f_g(s)= g*s
I'm just confused on that distinction
twilit leaf
mathematicians are just making up terms now
nimble crane
these terms are pretty standard, last I checked
sadly, idk any group theory
so I cannot clear this doubt 
full forumBOT
@quaint prawn Has your question been resolved?
full forumBOT
@quaint prawn Has your question been resolved?
full forumBOT
@quaint prawn Has your question been resolved?
quaint prawn
.close
full forumBOT
full forumBOT
Available help channel!
vernal coral
full forumBOT
vernal coral
this question is driving me crazy i did this four times and im still not getting it right its not even hard aswell its just algebraic manipulation to make x the subject
This is my closest attempt. Where did I go wrong?
the answer is $x = \frac{4p}{1-p^2}$
glossy valveBOT
BOHO
vernal coral
.close
full forumBOT
full forumBOT
Available help channel!
lunar acorn
full forumBOT
smoky stump
c is the question?
fossil river
by definition interquartile range = Q3-Q1
spice turret
<@&286206848099549185>
lol
just plug 30
the 11 and 66 is minimum and maximum
and that is how you identify Q1,2,3 in box plot
cursive latch
340000
spice turret
how did you get that
he's wrong
lunar acorn
he's right
lunar acorn
what im wondering lmao
cursive latch
the first column of this table represents the numbers at hundred thousands
the second column of this table represents the numbers at ten thousands
spice turret
it is rounded up
lunar acorn
why round up
spice turret
idk
lunar acorn
no idea how to do this
full forumBOT
no idea how to do this
tiny terrace
consider for a, how many ways can exactly 39 of 48 unique eagles survive. What's the probability of each of those arrangements?
lunar acorn
consider for a, how many ways can exactly 39 of 48 unique eagles survive. What's...
i know thats what its asking i just don't know how to find it
tiny terrace
which part are you stuck on? the number of possible arrangements or the probability of each arrangement?
alternatively, use the binomial distribution on your calculator, but that's somewhat dependant on what class this is for
tiny terrace
i know thats what its asking i just don't know how to find it
I can give you an example for a similar question if that would help?
full forumBOT
@lunar acorn Has your question been resolved?
torn jolt
3,4 anyone?
full forumBOT
3,4 anyone?
tiny terrace
how far did you get on your own?
torn jolt
Na it’s like easy but what’s the formula
tiny terrace
well you would find the height of the cone using pythagorean then use 1/3h(pi)r^2
torn jolt
For 3 the formula is 1 over 3 base x height
How do we the base
If we have the radius
torn jolt
Ohhhhhh
tiny terrace
also, just want to make sure you're aware: slant height and height are two different things
tiny terrace
Pythagorean Theorem
torn jolt
How do I do that with js the slant height tho
torn jolt
So I js do 3 squre + 4 squared?
torn jolt
Wait so how do I get the Pythagorean therom
tiny terrace
using this image, r^2+h^2=s^2
you have r and s
find h
torn jolt
^ wait js to make sure what does that mean?
tiny terrace
which part do you not get?
torn jolt
Wait how will we find the h in the formula if we don’t have it
Btw my bad for the dumb questions shit js confusing
full forumBOT
@torn jolt Has your question been resolved?
full forumBOT
@torn jolt Has your question been resolved?
full forumBOT
full forumBOT
Available help channel!
main trellis
full forumBOT
main trellis
any ideas?
full forumBOT
@main trellis Has your question been resolved?
shy rune
I don't quite understand the last part of the question because I'm greek
spiral vigil
what does T do to the first component of E?
pseudo cape
full forumBOT
https://discord.com/channels/268882317391429632/1195800467880558672/123886191928...
@pseudo cape Has your question been resolved?
pseudo cape
.close
torn jolt
Need to solve for x
full forumBOT
Need to solve for x
smoky stump
question pls
smoky stump
there is no image
torn jolt
How to find the value of x, I don't know what to do
torn jolt
This channel isn't allowing me to send any more images
Can I send what I've done in dm?
vestal meadow
try writing everything in terms of $a = 2^x$ and $b = 5^x$
glossy valveBOT
lgkoo
torn jolt
Yeah, I did that