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#help-38
tacit sedge
onyx sky
it will be line -parabola from -16 to 0
frozen root
how do i write mathematically that any term of 2^4n-1 -3 are divisible by 5 provided n is greater than 0.
frozen root
how do i write mathematically that any term of 2^4n-1 -3 are divisible by 5 prov...
Can i say 1 is a positive integer instead n is greater than 0?
frozen root
Can i say 1 is a positive integer instead n is greater than 0?
if so, how?
pearl stream
I suppose ∀n ∈ ℕ_≥1. 5 | 2^(4n-1)-3 or something like that?
frozen root
I suppose ∀n ∈ ℕ_≥1. 5 | 2^(4n-1)-3 or something like that?
thank you!
pearl stream
I think ℤ+ works too yes
pearl stream
I don't think so. You don't show anywhere that it's divisible by 5? It almost seems like you're stating it's divisible by ℤ+
frozen root
It almost seems like you're stating it's divisible by ℤ+
yep, that's what i am trying to do.
i have already proved (or so do i think).
pearl stream
You want to proof it's divisible by every integer greater than 0?
frozen root
yeah, provided the power n is a positive integer
also wrote a program to verify this.
pearl stream
You mean that for every integer n greater than 0 it's divisible by 5 I hope?
frozen root
yeah, like if n = 1 then 2^(4-1) -3 = 5
pearl stream
Yeah then what you sent is wrong
You want to show its divisible by 5
So be sure to add the 5 to the left of the bar
Giving
$\forall n \in \mathbb{Z}^+, 5 \mid 2^{4n-1}-3$
solid kilnBOT
Yeetus
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finite tusk
shouldn't be the answer to this is
-csc2x/2 +c
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shouldn't be the answer to this is
-csc2x/2 +c
wraith hinge
,w int csc2x cot2x dx
solid kilnBOT
finite tusk
how?
finite tusk
okay thank you got it
the answer should be 27(x^2/2 -x)+c
last one
should it be
e^-x/5 . dx?
i got it
.close
blazing niche
Hi guys can yall help with times and dates
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Hi guys can yall help with times and dates
blazing niche
Imma wait some time
While i watch youtube
aND SPEED
Road time speed im going to have a test from tha
blazing niche
Yep
blazing niche
Yeah
blazing niche
I got a test from time speed road
brittle escarp
ok
blazing niche
I am gonna get
brittle escarp
time speed and distance relation?
brittle escarp
Oh you are learning interesting stuff comrade
anyways
for this particular thing
you need to just now one thing
blazing niche
Ok
brittle escarp
Distance = Speed × Time
What is distance?
its the amount that youve traveled for a certain speed
for a certain time period
so let's say Jimmy drives 40 minutes at 60 miles per hour (or kilometers whatever)
how many miles/kms has he driven?
blazing niche
60
blazing niche
Yeh
brittle escarp
he is driving around at 60 per HOUR so we need to unite the units
at hour
so this would change to:
Jimmy has driven around for 2/3 hours at 60 kms per hour.
then how much has he driven?
blazing niche
Ok
blazing niche
40 x 60
brittle escarp
no no
it looks like 40 times 60
but the 40 is in minutes
and the 60 is in hours
so 40 should be two thirds of an hour
blazing niche
Yeah
blazing niche
I am in grade 6
brittle escarp
yes
blazing niche
I do
brittle escarp
Alrighty then
so we remember that distance = speed × time
then what is speed from this equation?
brittle escarp
60 m per h
no no we're talking about the equation distance = speed × time
not the jimmy one
blazing niche
Oh
brittle escarp
in distance = speed × time
speed = distance/time
becaus3
we divided both sides of (distance) = (speed) × (time) with (time) to get what speed is
do yiu understand?
blazing niche
Mhm
brittle escarp
so then you can do the same with time
distance = speed × time
just divide both sides with speed
distance/speed = time
blazing niche
Oh
brittle escarp
ok?
blazing niche
Ok
brittle escarp
yup
so lemme ask you a few examples
lets say xavier was driving in his car at 60 miles per hour
and he drove 240 miles
blazing niche
yeah
blazing niche
1h20 minutes
blazing niche
Oh sorry
blazing niche
i thought it was 140
blazing niche
4h
brittle escarp
so if we put those 2 numbers into distance/speed = time
yes
you are right
4h
then
let's say richard drove 300 miles at 50 miles per hour
how long has he driven for?
brittle escarp
yaa
blazing niche
50 x2 = 100
brittle escarp
yes
brittle escarp
you saw 300 as 100?
blazing niche
No i am adding
brittle escarp
ah ok
brittle escarp
ok
brittle escarp
would you like to complete that or should I stop you there?
blazing niche
Comp
blazing niche
Yeah
brittle escarp
so remember that equation I told you?
blazing niche
Yeah
brittle escarp
distance = speed × time
brittle escarp
what we want is time rn
so we'll put in the distance
which is 300
and the speed
which is 50
so the equation changes to:
300= 50 × time
blazing niche
YES
brittle escarp
divide 300 by 50,and you have your answer right there
blazing niche
YEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEESS
brittle escarp
so use the eqquation in your test time
much easier
much faster
just put in the distance speed ans time
whatever the problem gives you the numbers of
and dont forget to unify the units
minutes are not hours
blazing niche
Yeah
brittle escarp
you ready?
blazing niche
Wait can i show u somthing
brittle escarp
yup!
blazing niche
Was this the xaweir u talke about
blazing niche
Damn i bet hes tires after dat ride
blazing niche
I am ready
blazing niche
Yeah
brittle escarp
unite the units
so
someone drove for 30 minutes at 50 mph
but are you going to do a 30 ×50?
No
30 mins is in Minutes and 50 mph is in Hours
blazing niche
Yewh
blazing niche
Yhe
brittle escarp
yaa
blazing niche
I was told at in 1st grade
brittle escarp
lol yes
blazing niche
I gave him onion to back away bc he STINKY STANK
brittle escarp
do good on that test
blazing niche
Ok
blazing niche
Yes
brittle escarp
byeee
blazing niche
Byeee
blazing niche
Yeah
brittle escarp
.xlose
blazing niche
Ok'
brittle escarp
.close
blazing niche
Wait before u go
brittle escarp
?
blazing niche
Can u make another example
blazing niche
Yeha
brittle escarp
how many hours did she drive for?
blazing niche
4
blazing niche
Ok ^^
brittle escarp
2nd last
blazing niche
YAY
brittle escarp
someone drove for 200 miles and the time he drove for was 2 hours
how fast was he going?
blazing niche
So it's the same'
blazing niche
Yeah
brittle escarp
so speed = distance/time
theres no need to unite units
both in hours
so speed would be
distance/time = 200/2
=100
blazing niche
Ooh
brittle escarp
get it?
blazing niche
So i just need to do the miles 200/2
brittle escarp
yes.
blazing niche
/2*
brittle escarp
check that theyre both in miles first
blazing niche
Ok
brittle escarp
if not you need to unite em
and if they are
out the numbers in the equation
put
put the numbers in distance = speed × time
in our problem
200 was the distance and 2 was the time
so 200=2×speed
-> speed =100
blazing niche
Ohhhhhh
brittle escarp
ya
blazing niche
Good that i came here
blazing niche
Ya
blazing niche
Can i friend u
brittle escarp
sure why not
blazing niche
What is ur hashtag
blazing niche
Can we talk in the chat
brittle escarp
well I have to go to bed so not for long
blazing niche
Ok
brittle escarp
but ok for now
blazing niche
🙂
blazing niche
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brittle escarp
yu
blazing niche
Ok
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thorny roost
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thorny roost
I need help
wraith hinge
lhopital
jovial flower
If $\vec{a} \cdot \vec{b}$ and $\vec{a} + \vec{b}$ are two unit vectors, then what is the value of $\vec{a} - \vec{b}$?
solid kilnBOT
innocently.innocent.soul
kindred pier
How is the scalar dot product a unit vector?
jovial flower
May be they mean $\vec{a} \cdot \vec{b} = 1$?
solid kilnBOT
innocently.innocent.soul
zinc ginkgo
If $\vec{a} \cdot \vec{b}$ and $\vec{a} + \vec{b}$ are two unit vectors, then wh...
Show the original question. Screenshot or picture is best
jovial flower
Show the original question. Screenshot or picture is best
I'm on PC rn... can't send picture from my textbook... but it's exactly the same as the printed question in book.
zinc ginkgo
I'm on PC rn... can't send picture from my textbook... but it's exactly the same...
Doubt
vernal briar
Maybe $\vec{a} \times \vec{b}$
solid kilnBOT
RedstonePlayz09
solid kilnBOT
RedstonePlayz09
vernal briar
$\vec{a} \cross \vec{b}$
solid kilnBOT
RedstonePlayz09
jovial flower
How would that help?
vernal briar
maybe thats what they mean
zinc ginkgo
How would that help?
Do you know the difference between dot product and cross product?
jovial flower
If $\vec{a} \cdot \vec{b}$ and $\vec{a} + \vec{b}$ are two unit vectors, then wh...
Oops... it asks to find $|\vec{a} - \vec{b}|$
solid kilnBOT
innocently.innocent.soul
jovial flower
Do you know the difference between dot product and cross product?
Yes
zinc ginkgo
How is the scalar dot product a unit vector?
This is what you need to resolve
Cross product would explain that
But you likely have a typo
Either through your transcription or a typo in the text
zinc ginkgo
Show the original question. Screenshot or picture is best
Until you do this, there's no way to tell
zinc ginkgo
Yea that's a typo in the text
jovial flower
Can you check my method?
I'm sending
$$|\vec{a} + \vec{b}|^2 = |\vec{a}|^2 + |\vec{b}|^2 + 2\vec{a} \vec{b}$$
$$1 = |\vec{a}|^2 + |\vec {b}|^2 + 2$$
$$-1 = |\vec a|^2 + |\vec{b}|^2$$
Now, $$|\vec{a} - \vec{b}|^2 = |\vec a|^2 + |\vec{b}|^2 - 2\vec{a} \vec{b}$$
$$|\vec{a} - \vec{b}| ^2= -1 - 2 = -3$$
solid kilnBOT
innocently.innocent.soul
jovial flower
Now? |a - b| = sqrt(-3) ?
jovial flower
With the given choices may be answer is sqrt(3)
jovial flower
Now? |a - b| = sqrt(-3) ?
@zinc ginkgo
zinc ginkgo
$$|\vec{a} + \vec{b}|^2 = |\vec{a}|^2 + |\vec{b}|^2 + 2\vec{a} \vec{b}$$
What does $2\vec{a} \vec{b}$ mean
solid kilnBOT
riemann
jovial flower
2 \vec{a} \cdot \vec{b}
$\vec{a} \cdot \vec{b}$ is given to be 1 as per the question.
solid kilnBOT
innocently.innocent.soul
jovial flower
$$|\vec{a} + \vec{b}|^2 = |\vec{a}|^2 + |\vec{b}|^2 + 2\vec{a} \vec{b}$$
What d...
I applied the formula here.... (a+b)^2 = a^2 + b^2 + 2ab
ab is dot product of a and b.
zinc ginkgo
**innocently.innocent.soul**
No that's the typo I said above
zinc ginkgo
Try solving it with this suggestion
.
jovial flower
$|\vec{a} \cross \vec{b}| = ||\vec{a}| |\vec{b}| \hat{n} \sin(\theta)|$
Now what to do? Squaring?
solid kilnBOT
innocently.innocent.soul
jovial flower
What to do 😭
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@jovial flower Has your question been resolved?
fickle ledge
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fickle ledge
so AB=5sqrt2
if I made FD parallel to CB, angle DFC=90 degrees
angle FDC=60 degrees
so CD=2*FD
CF=sqrt3*FD
since AF=FD, 5=AC=sqrt3*FD+FD
so do I then find FD, CD, use pythag on CD and DE to find the base?
the height at angle C is 5rt2/2
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fallow lagoon
The width of the Circumference River is 3100 meters. The Square Root Bridge spans the Circumference River. If 1/8 of the bridge stands on one side of the river, and 1/10 of the bridge is on the other side, how long is the Square Root Bridge?
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The width of the Circumference River is 3100 meters. The Square Root Bridge spa...
@fallow lagoon Has your question been resolved?
leaden nacelle
the bit of the bridge that is above the river is the left over bit
so you have 1/8 + 1/10 + bit over river
= 1
1 being the entire bridge
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magic bobcat
Hey I'm stuck on this problem, I can't calculate the limit when (x,y) -> (0,0)
magic bobcat
magic bobcat
yo thanks for helping but we didn't learn about this rule for multivariate functions yet so I'm not supposed to use it
lone locust
What about polar coordinates?
nimble stone
may run into the same problem, Sin(R)->0 as R->0 again so undefined
magic bobcat
we didn't see the polar coordinates yet too but I found the answer, we have to use the taylor expansions after using y = mx
thanks for reaching out though !! :))
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edgy abyss
I alr know how to solve for x
I don’t think thats what its asking for
@leaden nexus
U have to do it based off of a table
leaden nexus
I'm not sure what table it's talking about then, sorry
maybe some weird wolframalpha thing to break down the steps...?
night zodiac
What math is this?
edgy abyss
Its Linear Algebra
night zodiac
Its Linear Algebra
Try asking in #linear-algebra
edgy abyss
Try asking in <#540211747613704221>
I alr did
They gave the same ans
As jukelyn
Buts that not correct
night zodiac
I honestly don't know what a finite field is, sorry
edgy abyss
Do you know anyone who does?
night zodiac
That's why I suggested #linear-algebra because someone there might know what a finite field would be
leaden nexus
I took lin alg
nimble stone
its a field with a finite number of elements (A set that fulfills certain conditions) here it has 9 elements
leaden nexus
^
edgy abyss
its a field with a finite number of elements (A set that fulfills certain condit...
Can you help
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dim dawn
I'm not sure what I'm supposed to do, I skipped the class because I was with the principal
formal sand
Well, do you have any ideas about how we can solve this?
dim dawn
Some formula?
formal sand
Perhaps later on, do you notice something the logarithms have in common?
For the second exercise for example
dim dawn
Their base is the same and they're both logarithms of x
sturdy leaf
I would just complete the square here
formal sand
Nice.
dim dawn
y1 = 2, y2 = -1. log3(x) = 2 and log3(x) = -1 what now?
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As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
formal sand
Btw if you get that x = negative number, that would not be a solution
dim dawn
Alright
formal sand
x > 0
severe stump
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severe stump
This is the problem I am confused about.
This is what I've tried. I'm just a little confused because I have a (2x/u)dxdu term, which I'm not entirely sure how to isolate.
I feel like a messed up a step in the process
zinc ginkgo
,rotate
solid kilnBOT
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@severe stump Has your question been resolved?
severe stump
<@&286206848099549185> Sorry for the ping, was just wondering
stiff crescent
looks like you did y times sqrt(x^2+y^2)?
severe stump
looks like you did y times sqrt(x^2+y^2)?
Was I not supposed to? It was the original problem at the top
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fringe plover
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mighty gazelle
i suggest
cyan lotus
try this formula F'(x) = ((g o f)(x))' = g'(f(x)) . f'(x)
mighty gazelle
maybe trying to differentiate using chain rule
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mighty gazelle
looks great
cyan lotus
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dire kraken
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dire kraken
int from -1 to 0 (x+1) = 1/2
int from 0 to 1 (cos(pi)) = -1
1/2 - 1 = -1/2
what am I doing wrong?
man this is by collegeboard
are you sure
VulcanOne
pls help
lmao
solid kilnBOT
long basin
I saw cos(pi x) for some reason
pure hatch
int from -1 to 0 (x+1) = 1/2
int from 0 to 1 (cos(pi)) = -1
1/2 - 1 = -1/2
This is correct
long basin
Yeah then everything else is fine
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pure hatch
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ancient aspen
Im really confused on how to expand bonomial used pascals triange/ Please help me
inland orbit
Do you have a formula for the binomial theorem?
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ancient aspen
Do you have a formula for the binomial theorem?
no
solid kilnBOT
tatpoj
inland orbit
If this came from school, surely you've been exposed to this before?
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ancient aspen
im in 8th grade studying alg 2 rn they havent thought binomial therem
ancient aspen
If this came from school, surely you've been exposed to this before?
no I havent
inland orbit
**tatpoj**
Do you understand what the pieces of this formula mean?
or some of them anyway?
@ancient aspen
lyric turtle
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lyric turtle
.ask
How do i find the number of complex roots of a function such as
f(x) = z³-6z²+15z-28
Ummm
vivid cloud
.ask doesnt do anything
lyric turtle
What do i do
vivid cloud
ur channel is open, someone will help. sorry i dont think i would be able to, still learning this concept
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inland orbit
Just ask your question, someone will see it
lyric turtle
How do i find the number of complex roots of a function such as
f(x) = z³-6z²+15z-28
kindred pier
fundamental theorem of algebra should help you out
lyric turtle
K let me check
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bronze moat
where did this come from
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where did this come from
zinc ginkgo
evaluate the left side using the definition of variance
or use a theorem if you've proven it
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junior sail
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idle aurora
What are you having trouble with?
junior sail
um im finding that question above hard
idle aurora
Starting of. Which one is the rectangle?
idle aurora
Well if you know the other 3 you could figure it out
junior sail
and the trapezium
wraith hinge
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wraith hinge
How do I simply so I can evaluate
can someone help pls, to figure out these questions
wraith hinge
How do I simply so I can evaluate
recommend making a sub of u = sqrt{x}
see what u get
wraith hinge
open ur own channel and delete this
this channel is already occupied and your message kind of clogs it up
I think u sub makes it more complicated?
wraith hinge
I think u sub makes it more complicated?
well
just
I did it
[
-10 \int \f{\s x}{x^2 +x} \dd{x} = -10 \int \f{\s x}{x(x+1)} \dd{x}
]
solid kilnBOT
wraith hinge
I did it
ah okay
nice
Yeah that’s what I got
Is this also partial
i mean, u can make it be? but why make ur life harder
how do you simplify $\f {\s x}{x}$
solid kilnBOT
wraith hinge
Like divide ?
yeah
sure
like just think of it as exponents with $\ds \f{x^{\f12}}{x}$
solid kilnBOT
wraith hinge
You subtract exponents
It’s like 1/sqrt(x) then
yeah
so like
[-10 \int \f{1}{\s x (x+1)} \dd{x}]
solid kilnBOT
wraith hinge
can you see how the sub u = sqrt(x) makes more sense now?
try subbing it in and see what u get
Change remaining variables to be in terms of u, too
I get 2/(x+1)
I think my answer is wrong
wraith hinge
I think my answer is wrong
like
after simplifying?
or as ur antiderivative?
Apparently my anti derivative SHOILD be arctan
also just ping me if i dont respond btw
wraith hinge
Apparently my anti derivative SHOILD be arctan
yeah
thats the right answer
so like
how was the u = sqrt(x) sub
what did u get
and what were u steps
Well it’s 2sqrt(x)/sqrt(x)(x+1)
right
Which is just 2/(x+1) after u simplify ?
yeah
thats correct
but
we are integrating with respect to u
so get that x in terms of u
remember our sub of u = sqrt(x)
i hope that made sense lol
Yeah sorry it makes sense
Tbh I’ve never really integrated like that
yeah integrals can be versatile
but anyways we can also do it using partial fractions
but lets finish this way first
what do u get after you get the u in terms of x
Well u just integrate 1/u
And pull the rest out rigut
💀💀💀💀💀
so maybe
let's rewind a bit
You’re integrating in respect to u
So why would the rest matter
we have [
2 \int \f{1}{x+1} \dd{u}
]
The $x$ does not match the integration variable of $\dd u$
solid kilnBOT
wraith hinge
we want to make it be in terms of u for the integration to work
we can know what x is in terms of u
from our original sub of
[
\s x = u \textss{so in that case:} x = ?
]
solid kilnBOT
wraith hinge
Oh wait it’s u^1/2
wraith hinge
Oh wait it’s u^1/2
so like
Okay I think I need to take a break
My brain is not working
yeah maybe ur brain is a bit fried from integrals lol
Thanks for attempting to help
no worries, good luck
oh btw
u can still do this with uh
partial fractions too
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viscid flower
I'm trying to make heads or tails of this answer
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I'm trying to make heads or tails of this answer
viscid flower
on A and B, like how would you even know thats how?
I was thinkign you would have to use a t table or something
struggling to find anything about it in the notes.
also, is it saying that the values we got for A and B are small or large? how do we know 0.05 should be the cut off here?
shouldnt it be something like 1.96?
@devout furnace
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hexed holly
Help please I’m confused
severe stump
This is the problem I'm confused about. The instructions are Solve the given initial value problem. The differential equation is a Bernoulli equation.
severe stump
I showed the steps I've tried at the bottom.
If I integrate this function like I'm supposed to though, I have both an x and a u, and I'm not sure which one I'm supposed to use.
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whole coral
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whole coral
I can’t sleep 
whole coral
This is the problem I'm confused about. The instructions are Solve the given ini...
How comes you divided here?
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severe stump
How comes you divided here?
I closed it because I realized what I did wrong lol. I got it right now (I think)
Got it right, yee.
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chilly imp
Does anyone know how to discover the b here?
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Does anyone know how to discover the b here?
chilly imp
I know that we discover a by multiplying all the eigenvalues
and we discover a by know that the determinant is the sum of all the eigenvalues
zinc ginkgo
you know $det(A - 7I) = det(A + 7I) = 0$
solid kilnBOT
riemann
zinc ginkgo
that's only 2 equations 
marble wharf
so I guess you wanna do it but refuse to just compute the char polynomial?
stiff crescent
cant we do the char polynomial of the matrix and equate coeffs?
zinc ginkgo
**riemann**
is that different from what i wrote?
chilly imp
you know $det(A - 7I) = det(A + 7I) = 0$
0$?
I am not sure if I am following
wait
I misspeled
I meant b
c and a I already know how to find
zinc ginkgo
**riemann**
That's latex for typesetting math equations
Don't read the code, read the image
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hollow bay
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hollow bay
Would somebody mind to check if the calculation is correct?
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leaden nexus
Would somebody mind to check if the calculation is correct?
,w 6/2 * 24/5 + 18/5
solid kilnBOT
leaden nexus
,w 92/5
solid kilnBOT
leaden nexus
Would somebody mind to check if the calculation is correct?
ur off by .4
wise sinew
Check how you simplified $2^{2k+1}$
solid kilnBOT
Andrea276
wise sinew
Should be 2 x (1/6)^k
How did you find 1/6?
Maybe I made a mistake calculating it in my head, but that's not what I get
solid kilnBOT
Andrea276
wise sinew
**Andrea276**
That's what I was trying to say before
solid kilnBOT
Yohnson
hollow bay
But isnt it 4^k * 2^1
solid kilnBOT
Andrea276
hollow bay
wise sinew
But isnt it 4^k * 2^1
It's correct, but it's different from $4^{k+1}$
solid kilnBOT
Andrea276
wise sinew
So that's the mistake
hollow bay
I dont understand what you mean
wise sinew
These are the steps:
$$2^{2k+1}=$$
$$2^{2k}\times 2^1=$$
$$4^k\times 2=$$
$$2(4^k)$$
solid kilnBOT
Andrea276
wise sinew
$2×4^k≠4^{k+1}$ though, so that's the mistake you made
solid kilnBOT
Andrea276
hollow bay
I see but why does it not work with $$4^k\times 2=$$
solid kilnBOT
Yohnson
hollow bay
Divided by 6^k individually
wise sinew
It does work, that's exactly the result I found
wise sinew
**Andrea276**
.
wise sinew
Here you don't have that though
hollow bay
So we have:
2 * (4/6)^k
is the same as
(4/6)^k * (2/6)^k
wise sinew
So we have:
2 * (4/6)^k
is the same as
(4/6)^k * (2/6)^k
The first is correct, the second is not, how did you find that?
The first is already the correct simplified expression, you don't get to the second by simplifying something more, they're just two different expressions
wise sinew
I thought I can do it like this
Wait, it's not a sum, everything is multiplied together!! Once you have the first step of the second line, you can then write that as $2×(\frac 46)^k$ and you're done.
solid kilnBOT
Andrea276
wise sinew
That's the correct way to do it 👍
hollow bay
So i can just split the division when dealing with sums and not multiplications
And thats why the other approach does not work
wise sinew
Yes, $\frac{a+b}{c}=\frac ac + \frac bc$
solid kilnBOT
Andrea276
wise sinew
But with multiplication you mustn't split the fraction like that
hollow bay
$\frac{ab}{c}=a \frac bc$
solid kilnBOT
Yohnson
wise sinew
Yep, exactly
wise sinew
You're welcome!!
hollow bay
Have a good evening!
wise sinew
You too :)
hollow bay
.close
covert arch
trim joltBOT
covert arch
For this problem do you just find the derivative
Why can’t you do this for the derivative?
leaden nexus
how did u get that
covert arch
Of this
leaden nexus
show ur steps bc I think u messed up the chain rule somewhere
covert arch
This pic won’t load
Isn’t the rule d/dx(a^x)=(ln(a))a^x
So I did ln(x)x^sinx
Multiplied by the derivative of sinx
@leaden nexus
leaden nexus
hmmmm
I took the derivative by taking the log and then going from there
I see what u mean tho
,w derive x^sinx
leaden nexus
I got the expanded form
covert arch
Oh
Is what I did correct?
Because my teacher did it by taking the natural log of both sides
Then doing implicit differentiation
To find dy/dx
leaden nexus
Because my teacher did it by taking the natural log of both sides
That’s the right way
yep
leaden nexus
Yup np
trim joltBOT
@covert arch Has your question been resolved?
jaunty topaz
hi could someone explain how this is in rref? because in x4 there is no pivot. thanks
trim joltBOT
hi could someone explain how this is in rref? because in x4 there is no pivot. t...
@jaunty topaz Has your question been resolved?
marble wharf
not every column needs to have a pivot
x1 doesn't have a pivot either
that said there aren't 0s above the 1 in the last column...
leaden nexus
not every column needs to have a pivot
aka rows of 0s are actually allowed... they just need to be moved to the bottom of the matrix
brittle blade
im trying to convert this 14 bit binary number to decimal: 11 1111 1100 1000.
what are the steps in doing this? im confused if this would be positive or negative.
trim joltBOT
im trying to convert this 14 bit binary number to decimal: 11 1111 1100 1000.
wh...
@brittle blade Has your question been resolved?
candid vessel
trim joltBOT
whole rover
I would probably do (8000x1.035)^x=10000 where x is the number of years to solve for x right?
Unless I’m just completely misunderstanding the question idk what formula you’re going on about ngl
neon meadow
Yea
candid vessel
gotca
candid vessel
;-;
neon meadow
No
candid vessel
im waiting
neon meadow
Don't use that
candid vessel
i was just reading the equation
neon meadow
What is the equation substituted by the numbers
whole rover
Oh it’s monthly mb lol
neon meadow
Oh it’s monthly mb lol
Sheesh like in 2 years you are rish
whole rover
Yeah that’s some crazy interest rate
neon meadow
i was just reading the equation
You doing the question or what
candid vessel
yeps
trim joltBOT
Available help channel!
surreal eagle
to flip it, dont you need to factor out a negative? so it would look like this instead
surreal eagle
trim joltBOT
surreal eagle
.reopen
trim joltBOT
✅
surreal eagle
one more question, why do they flip the integral if the x=1/4 which should be the lower bound?
surreal eagle
always? no matter what the x must be the upper bound even if x is smaller than the lower bound?
cunning cliff
check the statement of FTC
It may require the upper bound to be greater/equal than the lower bound
I dont think it does
cunning cliff
always? no matter what the x must be the upper bound even if x is smaller than t...
so i think yes
narrow sky
I'm not the best at solving for variables. Thanks in advance.
