Does this look right then?
#help-42
upper sparrow
Yep I'm happy 
(I don't know how fussy the grading system for your thingy is, but then again, the last question, we only needed two yet they gave an example with many more 
)
strange trail
Gave me it wrong again omg
It’s OK honestly don’t worry
Like this whole assignment thing is just weird
It gave me an eight out of 10 on the previous one, so I’ll just take it
I don’t know how this program really works in terms of grading and checking work and stuff
Thank you for your help tho !! at least I understand how to approach these questions now
upper sparrow
It's just pain honestly 
maybe there's something along the way I've missed, it's just too fiddly
Did I count the matrices right even 
strange trail
Yeaaa honestly dw about it it’s just being annoying
I input the number of matrices as six and it says it’s wrong
upper sparrow
Might be 7 and I think I forgot to count one in our work 
anyways, you get the idea of how to do them at least, that's the most important thing 
Oh wait it is 7 matrices, I forgot this one 
That's the second one from the right
strange trail
Yesss I got it
upper sparrow
We got there in the end 
so many matrices to work with, it's pain 
Was really wondering what I was trippin about 
calm coralBOT
@strange trail Has your question been resolved?
split glen
calm coralBOT
leaden thunder
chain rule 
calm coralBOT
calm coralBOT
Available help channel!
finite quest
i dont understand part a
calm coralBOT
i dont understand part a
swift laurel
determine the values of x where f(x) is defined, but only consider values of x between -1 and 1
finite quest
determine the values of x where f(x) is defined, but only consider values of x b...
so i input -1 and 1 into the equation?
swift laurel
you need to consider every possible value of x insie that interval that would make it undefined
swift laurel
consider: what inputs make a square root undefined?
finite quest
negative
swift laurel
so what values of x make sin(pi x) negative?
finite quest
so what values of x make sin(pi x) negative?
im not sure
swift laurel
what values of x make sin(x) negative?
finite quest
what values of x make sin(x) negative?
negative numbers?
swift laurel
all negative numbers?
finite quest
all negative numbers?
yes
swift laurel
are you sure?
finite quest
are you sure?
im very not sure im so confused for this question 😭
i just dont know what they want us to do
swift laurel
finite quest
sin is negative pi to 2pi and 0 to -pi?
swift laurel
so if x is between -1 and 1, what values can pi*x have?
finite quest
so if x is between -1 and 1, what values can pi*x have?
im confused by this
swift laurel
if i have a variable p, and I say p can range between [3, 10] then 5 * p can range between [15, 50]
finite quest
so if x is between -1 and 1, what values can pi*x have?
-1pix and 1pix?
i dont understand why tho
swift laurel
-1pi*x and 1pi*x?
not quite
the expression for max and min values should not have x in it
finite quest
the expression for max and min values should not have x in it
im confused what the question is asking us
finite quest
i dont understand part a
like what values does -1 and 1 represent and how do I find the domain
swift laurel
what is the domain of a function?
finite quest
all possible x values
swift laurel
so we need to find all x values that make sense to plug into f(x)
but specifically, we want to find the $x$ values where [ -1 \le x \le 1 ]
potent lotusBOT
cloud
swift laurel
one of those must be a typo
swift laurel
but what if there is a value of x that makes it undefined between those two values?
finite quest
but what if there is a value of x that makes it undefined between those two valu...
how will we check that?
swift laurel
so we want to know what values of x would result in a negative number inside the square root
finite quest
sqrt sin(pi-1)
this will be 0
swift laurel
well the inside of the square root is sin(pi*x)
swift laurel
yes
finite quest
so the domain will change to
0 can be equal to less than x which is less than or equal to 1?
swift laurel
how do you conclude that?
finite quest
because
we cant put -1 in a square root
and square root domain is x> or equal to 0
swift laurel
but the inside of the square root is not x, it's sin(pi*x)
so we need to find out where sin(pi*x) is negative
finite quest
ok
finite quest
so we need to find out where sin(pi*x) is negative
how do we find that out
swift laurel
so first we need to consider: if x is between -1 and 1, then what values can the inside of that function, pi*x, take on?
finite quest
so first we need to consider: if x is between -1 and 1, then what values can the...
how do we find that out?
swift laurel
if you multiply by a bigger number, you get a bigger result
so the largest value of x must result in the largest value of pi*x
finite quest
so the largest value of x must result in the largest value of pi*x
why do we need to find that out?
swift laurel
because sin(x) repeats itself infinitely. so we have to find out which part of the graph to focus on
finite quest
ok
finite quest
because sin(x) repeats itself infinitely. so we have to find out which part of t...
im still confusedddd
acc its okk i get parts of it thank uu
calm coralBOT
@finite quest Has your question been resolved?
remote mural
Q. Calculate the volume of the curve $y = 4 \ln{(x-2)}$ revolved around $2\pi$ radians around the y-axis between $0 \leq x \leq 4$
potent lotusBOT
Edmund Cloudsley
remote mural
Guys is this question even solvable?
if we re-evaluate the limits for the y-axis
we find that $4 \ln (0-2) = \text{undefined}$
potent lotusBOT
Edmund Cloudsley
balmy cape
excuse me if I'm wrong, but I think your first step would be integrating
keen grail
👍
balmy cape
because if it's revolved 2π radians, that gets it back to the first position. But you need to account for that later.
well actually you'd need to find the x intercept first so you can get the unsigned area because that's what it looks like
remote mural
Hmm
I’m a bit confused
Wouldn’t the area simply not exist since the curve never reaches 0
,w plot y = 4 ln(x-2)
potent lotusBOT
keen grail
Q. Calculate the volume of the curve $y = 4 \ln{(x-2)}$ revolved around $2\pi$ r...
is this the exact wording of the question
remote mural
is this the exact wording of the question
Yup
keen grail
k
remote mural
I just ctrl c ctrl v the question here
<@&286206848099549185> (sorry pinging a bit early….in a little bit of a hurry)
iron tiger
calm coralBOT
@remote mural Has your question been resolved?
calm coralBOT
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tepid glacier
Superman leaves the daily planet in search of lex luthor. He flies 65km south, then flies 50km in a direction 45 degrees north of east. What is his directional displacement from the daily planet with respect to the horizontal axis.
steep mountain
You're familiar with Trigonometry?
tepid glacier
tepid glacier
You're familiar with Trigonometry?
i'm just confused by the wording
Black A or Blue B?
steep mountain
It's the B diagram
tepid glacier
It's the B diagram
and i solve for the blue sides
steep mountain
Yes that would be the amount you moved horizontally
Which we call displacement
You only need
The horizontal
Don't need to worry about the vertical side for the first part
tepid glacier
yeah
steep mountain
Yes
tepid glacier
ok nvm thats the same answer
steep mountain
Correct
calm coralBOT
calm coralBOT
Available help channel!
bright sentinel
can someone explain why the 2 is here? I am so confused
calm coralBOT
can someone explain why the 2 is here? I am so confused
bright sentinel
bright sentinel
Use u substitution
Hey, thanks for the reply. When do you know to use the u substitution and when not?
willow ether
uhh when stuff gets ugly? lol
I mean usually its sin(x) right
when u see sth like sin(2x)
u can do u = 2x
and now its sin(u)
looks sth like what ur familiar with again
bright sentinel
alright thanks, it is my first integration lesson so I have only saw the u substiution once
calm coralBOT
calm coralBOT
Available help channel!
remote mural
hi could someone please help me with data management
calm coralBOT
hi could someone please help me with data management
remote mural
<@&286206848099549185>
hasty fiber
<@&286206848099549185>
!15m
calm coralBOT
<@&286206848099549185>
Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.
hasty fiber
Also nobody can help you if you don't post a question
calm coralBOT
@remote mural Has your question been resolved?
calm coralBOT
calm coralBOT
Available help channel!
broken peak
how to do 30 (i) ? i tried 1/6 since out of 1,2,3,4,5,6 prob of 4 is 1/6 but i dont get why we do 6.21/30
broken peak
ohh but then why 6.21/30 is there some formula for that
orchid ridge
Because you rolled it 30 times and it was estimated to be rolled 6.21
broken peak
i just know that avg = sum / total no so i didnt get why 6.21/30
sonic blade
no ur interpretation is wrong
orchid ridge
Why?
sonic blade
it means on average u will get 6.21 4s on 30 rolls
broken peak
it means on average u will get 6.21 4s on 30 rolls
so why are we dividing average by the no of rolls
cloud sorrel
orchid ridge
If i roll it 6.21 times in 30 rolls, then the probability of rolling a 4 is 6.21/30
sonic blade
so why are we dividing average by the no of rolls
it has to do with the fact we calculate mean by using random variable formula
mean = summation (xipi) i from 0 to 30
xi states number of dice thrown
pi is probability of that number of dices being rolled
broken peak
it has to do with the fact we calculate mean by using random variable formula
m...
ohh is it this formula?
sonic blade
ye
calm coralBOT
calm coralBOT
Available help channel!
tepid glacier
green lantern flies 50km west, then 80km in a direction 35 degrees west of south. what is the directional displacement with respect to the vertical axis, when green lantern finally catches gorilla grodd.
tiny monolith
who catches gorilla grodd
tepid glacier
who catches gorilla grodd
green lantern
remote mural
Note that west = 180 degrees and 35 degrees west of south = 235 degrees.
Sum up your x-components ---> 50 cos (180) + 80 cos (235) = -95.88
Sum up your y-components ---> 50 sin (180) + 80 sin (235) = -65.53
Now you can use the Pythagorean theorem to find the displacement and tan θ = y/x to find the angle.
viscid nymph
tepid glacier
Note that west = 180 degrees and 35 degrees west of south = 235 degrees.
Sum up...
my teacher provided that diagram
calm coralBOT
@tepid glacier Has your question been resolved?
calm coralBOT
@tepid glacier Has your question been resolved?
calm coralBOT
@tepid glacier Has your question been resolved?
tepid glacier
.close
gusty cliff
calm coralBOT
gusty cliff
Idk what to do at all
dull wagon
long division / partial fraction decomposition
gusty cliff
Ohhhh
What’s partial fraction decomposition tho?
But isn’t like long division used to find the oblique asymptote for this topic?
dull wagon
can be used for that or horizontal
gusty cliff
Ohhh
So in the part a what are they actually implying?
Do the just basically want me to find the asymptotes?
Ohhh ok I get
So the horizontal asymptotes just 5 right?
dull wagon
yes
gusty cliff
And also I’ve never done a long division with a quadratic as a denominator?
What’s the method?
dull wagon
same
gusty cliff
Ohh ok lemme try
dull wagon
keep dividing until the degree of the remainder in your iteration is less than the divisor
gusty cliff
What’s the divisor💀💀💀
dull wagon
thing you're dividing by
gusty cliff
thing you're dividing by
Ohhh
dull wagon
you don't want x in the denominators of your quotient
gusty cliff
Oh so I gotta keep going?
dull wagon
no
gusty cliff
Oh
dull wagon
you stop once you reach 20
gusty cliff
ohhhh
dull wagon
since that's a constant, it's degree is less than what you're dividing by
brazen elbow
calm coralBOT
brazen elbow
how would i power matrix without calculator?
swift laurel
try a few powers by hand and see if you notice a pattern
brazen elbow
oh it becomes itself
swift laurel
for reference the general procedure for large powers of matrices is diagonalization (will be covered later in the course)
nimble harbor
How much mechanical energy is lost to friction if a 55.0-kg slides down a ski slope at a constant speed of 14.4 m/s? The slope is 123.5 m long and makes an angle of $14.7^{\circ}$ with respect to the horizon?
potent lotusBOT
k
calm coralBOT
@nimble harbor Has your question been resolved?
calm coralBOT
@nimble harbor Has your question been resolved?
calm coralBOT
calm coralBOT
Available help channel!
wet island
How?
wet island
dont mind the hand writing
gray smelt
.rccw
short dove
your handwriting is very nice 👍
gray smelt
,rccw
potent lotusBOT
thorny stump
How what?
wet island
oh i think its y=x+4/5
thorny stump
Just think about what values of x you can plug in
tiny monolith
u can graph it
thorny stump
Your inverse is wrong though
wet island
u can graph it
this is embarrassing but may i ask how 😭
wet island
Your inverse is wrong though
is it x+4/5?
tiny monolith
this is embarrassing but may i ask how 😭
put in values
thorny stump
(x+4)/5, yes
tiny monolith
like for 5 points and see a pattern
or use desmos
the graph is like this
so u can see its domain (x values it can take) is the real line
and its range (y values it takes up) is the real line as well
tiny monolith
its similar
for a function f with domain D and range R, its inverse f^-1 will have domain R and range D
their domain and range are flipped
wet island
ohhhhh okkk
can i ask one last question hahaha (i dont know what im doing tbh) i need to graph both original and inverse, ill just use the points from the table of values right? just like what you did?
thorny stump
Yes, and you should recognize (from the equations) that they are both just lines
Also, the graph of the inverse is the reflection of the original about the line y=x
tiny monolith
can i ask one last question hahaha (i dont know what im doing tbh) i need to gra...
yea u use points as i said. and u dont do it as i did but the result should be the same
wet island
ok ok thank you so much ill just write it down for a sec
vital plume
wet island
Is this good?
wet island
yea u use points as i said. and u dont do it as i did but the result should be t...
you there? hehe
wet island
Yes, and you should recognize (from the equations) that they are both just lines
is it both line if a function has a degree like cube? (the next question has a degree 😭)
thorny stump
Idk, post it
wet island
thorny stump
Yeah that's clearly not a line, but again, for a total inverse, the domain is the range of the original and the range is the domain of the original
wet island
how would i graph it 😭 like how would it look?
wet island
You should know how to graph x^3 (x^n in general)
is this good?
thorny stump
Depends on your teacher I suppose
It's not very precise
It looks like you have asymptotes but there shouldn't be any, and the symmetry about y=x is lacking
calm coralBOT
@wet island Has your question been resolved?
rancid wasp
hey, i have a cauchy riemann question
$y' + \frac{y}{x} = \frac{(x + 3)e^x}{x}$
$y(1) = e$
basically my first thought is just to solve LHS as product rule so
$\int\frac{d}{dx}(xy) = (x + 3)e^x$
but now my dumb question: can i integrate RHS without having dx? or i just put it in along with my integral
$\int\frac{d}{dx}(xy) = \int(x + 3)e^x\mathbf{dx}$
then LHS is easy and RHS is byparts integration where $u = x + 3$ and $\frac{dv}{dx} = e^x$
potent lotusBOT
triplet
rancid wasp
nice it worked
tldr im not sure i can do this since im not seperating LHS for y and dy and RHS for x dx
else i guess i can express y' and do the whole thing through constants idk the name of it in english
leaden thunder
Plug in your solution for y and check
rancid wasp
i get the answer i checked with matlab, im just not sure if its the case where it's the correct answer but wrong method and i just got lucky with numbers
.close
calm coralBOT
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Available help channel!
remote mural
Just a small calculus question but are each of the following steps mathematically valid? I feel like there is something sus here
\begin{align*}
\dv x\8{\6\log p} = \4{\mu_pE}{D_p} &\Implies \6\log{\4{p_p}{p_n}} = \4{\mu_p}{D_p}\9[\big]{\underbrace{V(x_1) - V(x_2)}_{=V_0}} \
&\Implies V_0= \4{D_p}{\mu_p}\6\log{\4{N_a\2N_d}{n_i^2}}
\end{align*}
potent lotusBOT
remote mural
you can assume the integral of E results in the braced up part, thats fine, but im talking about the other stuff
i was thinking the integral of d/dx should have resulted in just log(p) in that case but thonk
oh nvm i guess its fine
.close
calm coralBOT
potent lotusBOT
route
leaden thunder
,tex .half angle
potent lotusBOT
riemann
leaden thunder
**riemann**
Use this
Second formula
Don't have what
You said you knew it
...
leaden thunder
2 * (1/2) = ?
Now use this
Your cos(2 theta) is right
I'm answer your question about cos(theta)
(1/2) * 2 * theta=?
leaden thunder
**riemann**
Second formula now
The theta in the general formula is your 2 * theta
potent lotusBOT
route
leaden thunder
Your inability to tex is slowing you down
leaden thunder
The theta in the general formula is your 2 * theta
Read and understand this
leaden thunder
**riemann**
General formula
I don't know what your words mean
Just write out some math
potent lotusBOT
route
Compile Error! Click the 
reaction for more information.
(You may edit your message to recompile.)
lost arch
why is not 48 pi
calm coralBOT
why is not 48 pi
trail wren
how did u get 48pi?
trail wren
two things
first you need to also paint the bottom right?
second "l" means sland height
sterile cypress
then subtract the area we arent painting
which equals the area of a circle with radius 4
lost arch
area of circle?
trail wren
yes
sterile cypress
area of circle?
exactly, do you know the formula?
lost arch
6^2 times pi
lost arch
exactly, do you know the formula?
pi times r squared right?
sterile cypress
pi times r squared right?
yep, so it equals
lost arch
36pi
sterile cypress
which equals the area of a circle with radius 4, as I said back there
lost arch
whats the area not painting?
sterile cypress
so now you subtract 16pi from 36pi
lost arch
20 pi?
sterile cypress
right! Now add the area of the curved side of the cone and you'll get your response
lost arch
no
trail wren
so the l in ur equation
for finding area of the curved part of a cone
means slant height
trail wren
that means the distance from the circumference of the circle to the vertex at the top
sterile cypress
a picture may help
sterile cypress
how do you think we can solve for l?
lost arch
phytgaras therom?
sterile cypress
yes!
lost arch
but
sterile cypress
so
trail wren
remember r means radius
trail wren
in the diagram
potent lotusBOT
Max-Cat
trail wren
so how did u find radius before
trail wren
why r squared?
pythygorean theorm
remember h and r are the legs
and the slant height is the hypothesus
lost arch
the yellow part is not r tho
lost arch
12 is dimeter?
sterile cypress
and what is the diameter in relation to the radius?
trail wren
the yellow part is not r tho
if we moved that line down until it was on the circle
what would it map too?
trail wren
radius is 1/2 diameter
sterile cypress
that's what we've been asking ya
lost arch
yh
trail wren
what is it equal to?
trail wren
which means its equal to what line?
lost arch
sterile cypress
$l = \sqrt{8^2 + 6^2}$
potent lotusBOT
Max-Cat
sterile cypress
yep
lost arch
yh
sterile cypress
the lateral side is equal to ten
sterile cypress
yeah
that's just the lateral side
the question does not ask for the lateral side, does it?
lost arch
no
sterile cypress
it asks for the whole surface minus that hole
lost arch
yh
sterile cypress
so in the end it must equal
60pi + 36pi - 16pi
Lateral area + base area - hole area
sterile cypress
remember to close the channel with .close
lost arch
.close
calm coralBOT
calm coralBOT
Available help channel!
civic roost
Look at this graph.
What is the equation of the line in point slope form?
fickle musk
Look at this graph.
What is the equation of the line in point slope form?
Like $y-y_1=a(x-x_1)$
potent lotusBOT
David
fickle musk
Look at this graph.
What is the equation of the line in point slope form?
Where a is the gradient
desert torrent
slope is another name
civic roost
yeah
desert torrent
Pick any point (x1,y1)
nah it wants the red point
civic roost
But find out what the slope is first
how do i find the slope?
fickle musk
how do i find the slope?
Pick two points
Find the change in y and divide by change in x
civic roost
Pick two points
Find the change in y and divide by change in x
rise over run?
civic roost
so for example, ima pick (400, -600) as a point thats good?
fickle musk
Ye
fickle musk
so after that i divide 400 and -600?
No
civic roost
at graphing
fickle musk
You get another point
civic roost
from the same side of the graph?
fickle musk
from the same side of the graph?
Any point
fickle musk
(400, -600) (200, -400)
Yes
Now take away the first y value from the second
Do the same thing for x
civic roost
so only 400 and 200 is left?
civic roost
I mean you have(400, -600) (200, -400)
Do [-400-(-600)]/[200-400]
im so confused how to read that
ima be honest im really dumb at math
i js clutched up with tests and got algebra this year
fickle musk
im so confused how to read that
Firstly if you have two points on a straight line
(a,b) And (c,d)
Then the slope is
(d-b)÷(c-a)
civic roost
Firstly if you have two points on a straight line
(a,b) And (c,d)
Then the slop...
okay so -400- -600/200-400 is the slope correct?
civic roost
ohh okay
fickle musk
-400--600=600-400=200
civic roost
so the slope is 800?
fickle musk
200-400=-200
fickle musk
so the slope is 800?
No
civic roost
okay lets say i have 2 points what would be the formula to find the slope
cuz maybe i did smth wrong?
fickle musk
okay lets say i have 2 points what would be the formula to find the slope
$\frac{y_2-y_1}{x_2-x_1}$
potent lotusBOT
David
civic roost
so if i have the two points i picked earlier which one would be which?
and mb im kinda slow
fickle musk
so if i have the two points i picked earlier which one would be which?
It doesn't matter which you use as one or 2
fickle musk
(400, -600) (200, -400)
All that matters is that if
400 is x_1 then -600 is y_1
civic roost
All that matters is that if
400 is x_1 then -600 is y_1
okay okay
let me calculate it rw
rq
civic roost
All that matters is that if
400 is x_1 then -600 is y_1
i got -1600?
fickle musk
i got -1600?
Huh read it again
civic roost
okay hold on
civic roost
i got 200 over -200
fickle musk
Yes
fickle musk
200÷-200=-1
civic roost
yeah so now thats the slope
uhh
how do i get the other points to make into point slope form?
also says red pint
fickle musk
also says red pint
Yes what are the coordinates of the red point
civic roost
Yes what are the coordinates of the red point
(800, -1000)
civic roost
Look at this graph.
What is the equation of the line in point slope form?
right here
fickle musk
$y-y_{reddot}=a(x-x_{reddot})$
a is slope
X_1 and y_1 are the x and y coordinates of the point we're using
(the red point)
That's all!
civic roost
X_1 and y_1 are the x and y coordinates of the point we're using
so -400 is y2
and we put that in
for x1 its 400
and we put that in?
fickle musk
so -400 is y2
Nooooo
I mean for the red dot
potent lotusBOT
David
civic roost
reddot?
civic roost
Is this better
idk what that formula is saying
fickle musk
idk what that formula is saying
y reddot is the y position of the red dot
x reddot is the x position of the red dot
civic roost
y reddot is the y position of the red dot
which is -1000?
fickle musk
Yes
civic roost
x reddot is the x position of the red dot
800?
fickle musk
$y+1000=-1(x-800)$
potent lotusBOT
David
fickle musk
This is all!
fickle musk
so for the y1 thing
Don't get confused
civic roost
so basically in summary we find any random point on the graph, mark them as x1 y1 etc, find the slope using y2-y1 x2-x1. after finding slope we find the coordinates of the redot and then use them to replace the other two boxes? (y1 and x1)?
fickle musk
Just understand the point slope equation and how to find the slope
fickle musk
so basically in summary we find any random point on the graph, mark them as x1 y...
Yes
civic roost
why is it positive 1000?
fickle musk
fickle musk
why is it positive 1000?
y--1000
civic roost
ohh
calm coralBOT
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civic roost
.close
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glad sinew
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glad sinew
what do they mean by soln is F(x,y)=C2?
is it because its ….dy/dx=0 and the integral of 0 is some constant?
yea I think so
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rugged folio
how do i simplify 8x + 4 + 3 ( 2x - 3 )
calm coralBOT
how do i simplify 8x + 4 + 3 ( 2x - 3 )
rugged folio
please
sweet meadow
first you can reduce terms such as 4 and 3
sweet meadow
you should multiply the (8x+7) with the (2x-3)
rugged folio
i have no idea how to do that
sweet meadow
can I see the original problem?
rugged folio
heavy seal
Okay, let's just go through what you think you do
3(2x-3), what are your first thoughts?
In case it helps, this is the exact same as 3 * (2x - 3)
They just ignore the multiply sign because the number being next to the bracket implies it
rugged folio
my first thoughts are wtf is this
heavy seal
Okay, fair, but can you at least attempt it?
rugged folio
I DONT KNOW HOW
heavy seal
Okay, let's try this
rugged folio
😭
heavy seal
what is 3 * 2x
rugged folio
why the *
heavy seal
the * = multiplied
star
idk why it turned into a decimal there lmao
an asterisk means multiplication
so it's 3 times 2x
so, what is 3 times 2x
Do you know how to do that?
rugged folio
just 6x right
heavy seal
Correct
Now, what is 3 * 3
Feel free to instantly answer, don't overthink it
Are you still here?
heavy seal
Correct
And, as you saw in the original question, there is a minus sign
Therefore, it's just 6x - 9
3 * (2x - 3) is the same as (3 * 2x) - (3 * 3)
which, as you just worked out, is 6x - 9
You now have the formula 8x + 4 -6x - 9, right?
So, you match up the like terms
Can you take it from here?
Don't overcomplicate it because this is the easier part
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manic temple
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tulip basin
!status
calm coralBOT
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
1
torn gorge
just plug in x=0 as the function is continuous
manic temple
Yeah u did that but its actually 0/0 so FI
unique jackal
you don't get 0/0
tulip basin
Check the denominator calculation again
tulip basin
Yep
manic temple
So its infinity right ?
tulip basin
0/1=0
tulip basin
np
wary swallow
What is even going on here????
calm coralBOT
What is even going on here????
wary swallow
I dont know how to do this at all
wary swallow
what??
wait, I think I get you
oh I see, each value of x corresponds with a limit
a) my answer was 3 but it says its incorrect
hold on
sweet meadow
I got -12 -8 +5
sweet meadow
you will replace the x with g(x), which is -2
calm coralBOT
wary swallow
.reopen
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wary swallow
I am lost for the second part of this
I tried substituting through the point slope formula
sweet meadow
the slope is incorrect
wary swallow
yeah, thats what I was thinking
sweet meadow
the slope is a fraction
wary swallow
x/6 I had initailly
but it was wrong because it didnt give me the values I was looking for
or more like expecting
sweet meadow
x/6 I had initailly
that slope seems correct to me
wary swallow
it says wrong
I've been told that it has to do smth with the vertical shift but I cant figure out how to do it
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grave edge
Hey i could use help on this problem. Its like entery level linear algebra. Thanks
let A =
[-3 -15]
[-5 -22]
(a) To express A so that the entry under the main diagonal (i.e. row 1, column 1) is 0, add ___ times the first row to the second.|
(b) Using the result in part (a), the system AvectorX = vector0 has:
A. trivial solutions only (and, hence, columns of
are linearly independent).
B. non-trivial solutions.
C. cannot tell if the equation has nontrivial solutions or not.
tiny shuttle
I need help
nocturne frigate
Hey i could use help on this problem. Its like entery level linear algebra. Than...
with a the answer is quite obvious, you just need to multiply by something that makes the a_00 = 5
calm coralBOT
@grave edge Has your question been resolved?
grave edge
with a the answer is quite obvious, you just need to multiply by something that ...
yeh i tried to enter
5/3
but it says its wrong
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grave edge
Hey i could use help with his problem. It is introductory linear algebra.
vectorV1 = (17, 15, -10), vectorV2 = (18, 9, -13), vectorV3 = (21, -9, -22)
a) Are the three vectors linearly independent?
If so, write all zeros for the coefficients below. Otherwise, if linearly dependent, write vector0 as a linear combination of v1, v2, v3.
vector0 = _v1 + _v2 + v3
grave edge
so far the way i solve this problem is
i solve for the Reduced row echeolon form
to get my values for the linear combination
and to know if its depednat on independant
using the same RREF form, i look at the Rank and k value, and see if its >, <, or =
but i'm not getting the right answer
So far i have
rref(A) =
1 0 -3
0 1 4
0 0 0
so the Number of free variables k = 3, and Rank = 2
and since Rank < k. Its linear dependent
so then according to the question, i need to just solve the linear combination
which should be vector0 = s1(vectorV1) + s2 (vectorV2) + s3(vectorV3)
and for that those should just be the values i get from the rref from correct?
swift laurel
if you can write a linear combination of the columns of the rref that sums to 0, then the same linear combination will work for the original vectors
grave edge
if you can write a linear combination of the columns of the rref that sums to 0,...
so like is the answer vector0 = -3(vectorV1) + 4(vectorV2) + 0(vectorV3) ?
swift laurel
So far i have
rref(A) =
1 0 -3
0 1 4
0 0 0
does that make the columns here sum to 0?
grave edge
let me check
grave edge
does that make the columns here sum to 0?
it doesn't
swift laurel
try to come up with one that does make them do that
grave edge
alr
grave edge
try to come up with one that does make them do that
coudn't i just multiply everything by the number 0 ?
to make everything = to zero?
swift laurel
if they're linearly dependent then there is one that involves not multiplying everything by 0
grave edge
ok, because my software did say the answer is not all zeros
swift laurel
if they were linearly independent, then the only solution would be all 0s
grave edge
if they're linearly dependent then there is one that involves not multiplying ev...
is there a trick to solving these? or do you just have to guess the answers in your head
like when solving rref, i'm kinda just doinig random stuff, till i get the answer
aka alot trial and error
swift laurel
like when solving rref, i'm kinda just doinig random stuff, till i get the answe...
for rref you have a fixed set of instructions you can follow, which is gauss-jordan elimination
grave edge
for rref you have a fixed set of instructions you can follow, which is gauss-jor...
yes i have used that
grave edge
try to come up with one that does make them do that
i'm stuck. Since i'm already at
[1] + [0] = [-3]
[0] [1] [4]
I don't know how we will find a number that multiples to get = 0
other than -3, 4, and 0
the only other thing i think of is flipping the signs
to get 3, -4, and 1
swift laurel
to get 3, -4, and 1
try that and see if it works
grave edge
yes it does work
its wiered i'm doinig alot of problems
and the answer is always the inverse
of what i get
swift laurel
well if 3, -4, and 1 works then so would -3, 4, and -1 (since -1*0 = 0)
grave edge
well if 3, -4, and 1 works then so would -3, 4, and -1 (since -1*0 = 0)
yes my software says that is also the answer
well anywyas, thanks alot for the help
.close
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terse swan
Can someone help me with part B
calm coralBOT
Can someone help me with part B
drifting seal
Can someone help me with part B
is this tucker
terse swan
terse swan
is this tucker
?
terse swan
i'm not sure
pseudo moss
that matrix multiplication is not defined
pseudo moss
Doesn't make sense to multiply a 3x1 matrix with a 3x3
terse swan
Doesn't make sense to multiply a 3x1 matrix with a 3x3
for part a?
drifting seal
just reverse the order
pseudo moss
For whatever you have in your written thing
terse swan
just reverse the order
wdym?
drifting seal
like change your order of multiplication
drifting seal
Doesn't make sense to multiply a 3x1 matrix with a 3x3
^
terse swan
oh okay so i can just swap them
drifting seal
what chapter is this btw?
drifting seal
i used it
terse swan
oh wow
drifting seal
ok look at example 4
section 2.5
or maybe it’s example 5 actually
lol i have this exact problem in my notes
terse swan
no way
drifting seal
so you should know
drifting seal
$|p’| = |Ap| \leq ||A|| \cdot p$
potent lotusBOT
knief
drifting seal
$|p|_s = |10| + |10| + |10| = 30$
potent lotusBOT
knief
drifting seal
$|p’|_s \leq (1.8)(30) = 54$
potent lotusBOT
knief
drifting seal
what’s your A and B
drifting seal
but what are they
lol i just checked you’re in the chess club server
💀💀
small world
😹😹
terse swan
💀
terse swan
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late slate
hi need help with d) im not understanding how to do it
calm coralBOT
hi need help with d) im not understanding how to do it
late slate
This is what I have but my answer is not right. Am I in the right direction?
<@&286206848099549185>
royal sequoia
Hello, I want more clear picture.
royal sequoia
question
royal sequoia
Let me see..
sum of the cubes of natural numbers from 1 to n is follow.
are you OK?
late slate
are you OK?
math is not mathing rn
or ever really
and so how does that work with this question
royal sequoia
Hello, Kenji. I want to know about you
late slate
that has nothing to do with math
royal sequoia
Of course. But I bump into you in here.
royal sequoia
Oh, I'm sorry. That is my fault.
calm coralBOT
@late slate Has your question been resolved?
lapis condor
Need help multiplying these square roots together
calm coralBOT
Need help multiplying these square roots together
calm coralBOT
@lapis condor Has your question been resolved?
calm coralBOT
@lapis condor Has your question been resolved?
blazing coyote
calm coralBOT
blazing coyote
for (a), counter example, $(1,0),(1,1)$
potent lotusBOT
Veni, vidi, perii is not f(wai)
blazing coyote
(b)As $\bf{x} ; \bf{y}$ are orthogonal, so $\bf{x} \cdot \bf{y} = 0$. but $\bf{x} \cdot (\bf{x+y}) = |x|^2$, which isn't $0$, and thus it isn't orthogonal.
potent lotusBOT
Veni, vidi, perii is not f(wai)
swift laurel
well it can be 0 but it isn't necessarily
calm coralBOT
leaden thunder
#old-network for chem server
remote mural
Oh ok thanks
halcyon ore
hi
halcyon ore
how come
The lecture video
The guy put Y as positive
and we know gravity goes down
so shouldnt g be-9.8??
like he explained it here
its kind of contradicting i feel
torn gorge
leaden thunder
https://tenor.com/view/falling-gif-21519761
facts
torn gorge
https://tenor.com/view/falling-gif-21519761
maybe this could help to visualise the problem
leaden thunder
sometimes watching the section of the video is helpful
