where did I go wrong
#help-27
unreal pollen
main gull
You didn't need to do this
main gull
Yes cos is negative in Q2, but the range of arccos is [0, 180]
If you plotted this, that means the angle would have been in Q4, meaning x is positive and r is positive, for cos
unreal pollen
oh which is outside of the range of cos
so the answer is just 143?
it's between 0-180 degrees
main gull
Should be, because 143 is in Q2, and -0.7986 would be -x and +r
dry rover
hello, dumb question but how exaclty do i find the accumulation points of sequences like cos(n*pi/3)?
devout snowBOT
hello, dumb question but how exaclty do i find the accumulation points of sequen...
dry rover
what are the subequences?
magic thicket
Turns out this one is periodic
The accumulation points of a periodic sequence are pretty trivial
dry rover
hmm
dry rover
The accumulation points of a periodic sequence are pretty trivial
for example if i take every even and odd numbers of n; that wouldn't be enough right?
magic thicket
The accumulation points of a periodic sequence are pretty trivial
Solve this more general question. Then use it to trivialize your exercise
There's no reason to look at n mod 2 in particular
dry rover
Solve this more general question. Then use it to trivialize your exercise
well, so in general, every value between -1 and 1 would be an accumulation point for cos
magic thicket
cos is not a sequence
dry rover
yes indeed
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autumn sparrow
is there any algebraic way to solve this? (curious)
devout snowBOT
is there any algebraic way to solve this? (curious)
mighty knoll
not sure. I got until this algebraicly:
$tanx = (secx)^{log_{4}3}$
woven radishBOT
imTyp0
mighty knoll
to be frank, for big problems like these, yes I'd try algebraicly for a little bit, but when you see it won't work, just use newton's method or something like that to find your x values
mighty knoll
4^(tan x) = 3^(sec x)
how did you get that?
mighty knoll
am being confused
flat rain
sorry ignore what I just said
mighty knoll
Alright?
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autumn sparrow
to be frank, for big problems like these, yes I'd try algebraicly for a little b...
i'll try that
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cursive condor
hello
cursive condor
are number 15 and 16 correct?
someone help pls
theres a similar one there
sooo i kinda just tried to do the same
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cursive condor
<@&286206848099549185>
i did all of them. i need to know what i did wrong on them though.
or just know which ones are wrong.
cursive condor
formulas used from right there
obsidian oak
or just know which ones are wrong.
aint you got teacher to do that
cursive condor
no im at home
and teacher
gave no asnwer key
lmfao
im guessing theyre all right
cuz i did use all my resources
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rich marsh
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manic timber
For part a i got
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For part a i got
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drifting barn
I need to find the area of each of these 3 triangles ( it in French)
dry rover
tu sais calculer la norme entre deux points d'un plan?
drifting barn
Le premier triangle j’ai compris comment le faire mais le deuxième je suis vraiment perdu
drifting barn
tu sais calculer la norme entre deux points d'un plan?
Calculer la distance entre 2 point?
Oui
dry rover
et tu sais comment trouver l'équation de la perpendiculaire à une droite en utilisant un points de la perpendiculaire?
drifting barn
Comme 2/5 -> 5/2 -> -5/2 = -2,5 ?
dry rover
oui
drifting barn
Mais après je sais pas quoi faire
dry rover
tu trouves quoi comme equation de la droite (BC)?
drifting barn
Je sais que la pente est de -2,5
drifting barn
L’abscisse et l’ordonner du point (C)
dry rover
oe tu dois trouver l'ordonnée à l'origine
drifting barn
Du point B ?
dry rover
genre tu fais quoi maintenant que t'as la pente
tu dois trouver l'équation de la doite perpendiculaire à (AB) passant par C
drifting barn
Je ne sait pas comment le faire
dry rover
Je ne sait pas comment le faire
l'equation de la droite perpendiculaire c'est y = -2.5x + b; tu sais que les coordonnées de C vérifient cette equation, maintenant il faut trouver b
@drifting barn
drifting barn
J’ai eu -0,02 pour le B
drifting barn
Oui
dry rover
donc il reste plus qu'à trouver les coordonnées de B
dry rover
tu dois cherche le point d'intersection de la droite (AB) et (BC), faut résoudre un systeme
drifting barn
Non
neat night
@dry rover you could do your problem without the inequality tbh
dry rover
@drifting barn
dry rover
<@1020689932634832926> you could do your problem without the inequality tbh
I already deleted my post but what do you mean by that then?
neat night
rewrite as x^a/e^bx
exponential function has faster growth rate so it’ll be 1/infinity
=0
dry rover
exponential function has faster growth rate so it’ll be 1/infinity
That’s already another theorem, that’s actually what we’re asked to prove
neat night
maybe squeeze theorem then if you have to use the inequality
dry rover
Yes so I would need to use another function to bound it
drifting barn
<@890830154077712394>
Y=2/5(0,4)x +4
Y=-2.5x+33
dry rover
Y=2/5(0,4)x +4
Y=-2.5x+33
Ok
Maintenant remplace le Y dans la première expression par le Y de la deuxième expression
neat night
Only one bound with that inequality tho?
yeah your limit is x approaches infinity from the right so you don’t need the left side bound
dry rover
yeah your limit is x approaches infinity from the right so you don’t need the le...
I mean don’t squeeze theorem require an upper and lower bound to work?
neat night
I mean don’t squeeze theorem require an upper and lower bound to work?
it’s requires a lower and upper bound to determine if the limit exists like lim as x-> inf of lower bound = x-> inf of upper bound for the limit to exist but your question only asks for the upper bound
dry rover
it’s requires a lower and upper bound to determine if the limit exists like lim ...
They’re asking for the limit, I would need 2 functions to approach to same value(which is 0) for it to work
drifting barn
Maintenant remplace le Y dans la première expression par le Y de la deuxième exp...
Quesque tu veux dire par remplace
Ahhhh
J’ai compris
neat night
They’re asking for the limit, I would need 2 functions to approach to same value...
no your picture shows lim x-> inf+
or was it postiive infinity
dry rover
or was it postiive infinity
- inf
drifting barn
X=10.8?
drifting barn
10,8
dry rover
comment tu as trouvé ca
drifting barn
6-33=-27
-27 diviser par -2,5
dry rover
remet les étapes un peu pour voir
drifting barn
6=-2,5x +33
-27/-2,5=-2,5x/-2,5
10.8
dry rover
6=-2,5x +33
-27/-2,5=-2,5x/-2,5
10.8
comment t'as eu ce 6? Refais les étapes:
-2.5x+33=2/5x +4
pars de là
drifting barn
Tu ma dit de remplacer le y
J’ai crue que tu voulais dire que le y du AB je le met dans le BC
dry rover
well the lower bound is 0
dry rover
J’ai crue que tu voulais dire que le y du AB je le met dans le BC
oui c ca
-2.5x+33=2/5x +4
drifting barn
8
dry rover
oui
drifting barn
Alors la il faut trouver la distance?
dry rover
oui maintenant t'as les coordonnées de chaque point et tu fais ton calcule d'aire habituel
drifting barn
Est ce que l’aire totale est de 39,64?
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shut fable
Hi
shut fable
Could you help me w 31
restive river
are you able to set up the integral
shut fable
This is my work so far
inner oyster
is this what you asked on general? 😄
shut fable
Yes, I forgot to write tan^2(x) in second line
shut fable
is this what you asked on general? 😄
Yes, it was, only tan^2(x) * sec^2(x) left
inner oyster
I see, I thought you asked $\int tan^2 sec^2 d[tansec]$
woven radishBOT
elyaguaro
shut fable
God I hope I will never have to
restive river
try using an identity
shut fable
Converting to sin-cos?
restive river
you can make that integral purely in terms of tan or sec
remember that tan^2x = sec^2x - 1
shut fable
remember that tan^2x = sec^2x - 1
Is there a general rule for integration of other trigonometric functions like this?
restive river
I think that's tan^3(x)/3
this is correct
restive river
Is there a general rule for integration of other trigonometric functions like th...
idk
not familiar with these rules
restive river
yw
shut fable
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prisma frost
Why is 16b 3
devout snowBOT
Why is 16b 3
restive river
Why is 16b 3
when $\theta$ is small, $cos\theta$ tends to 1 and $tan\theta$ tends to 0
civic ore
Basically they are asking you what $\frac{7+2cos2\theta}{tan2\theta+3} $ equals when $\theta = 0$
civic ore
^ @prisma frost
prisma frost
Ah ok
Thanks for the help
Also if you don’t mind
For 18 would this my right or wrong?
I did difference of 2 squares
Then I just used the trig equations
restive river
For 18 would this my right or wrong?
there wont be theta nymore
question 18 says "when theta is small"
you're already using theta in cosine function
the output wont have it back
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crimson kiln
Could someone help with b?
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Could someone help with b?
snow oasis
Could someone help with b?
!status
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Could someone help with b?
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'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
2
crimson kiln
where did you stuck ?
I don't want to upload a pic of my rough work cause it's really messy, but I tried to show that the piecewise function is continuous on the intervals (0, 1/2) and (1/2, 1) using the delta-epsilon definition
I'm not sure how to proceed
snow oasis
I don't want to upload a pic of my rough work cause it's really messy, but I tri...
Oh bro
function in these intervals is just linear
its obvious its continious
crimson kiln
I think I also need to prove the limits at the endpoints of the intervals?
crimson kiln
its obvious its continious
I know but I have to prove it haha
snow oasis
I know but I have to prove it haha
😂😂
okay so to prove a linear equation is continious just prove that the left and right limits are equal to each other and the value of function in that point
crimson kiln
okay so to prove a linear equation is continious just prove that the left and ri...
Right, so I just need to prove the right hand limit for x = 0, both limits for x = 1/2 and the left hand limit for x = 1?
And also show the function is continuous on the open interval
snow oasis
Right, so I just need to prove the right hand limit for x = 0, both limits for x...
no no
look
we have a f(x) = ax+b
crimson kiln
Mhm
snow oasis
show that for every t right and left limit are equal to f(t)
crimson kiln
How about x = 1/2? Since it's included in both intervals
snow oasis
How about x = 1/2? Since it's included in both intervals
so you have to calculate right an and left limit seperately
and in this function they will be equal
crimson kiln
Yes, so would I also do that for x = 1/2 in addition to the endpoints?
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snow oasis
Got it, thanks!
🤝
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opal elm
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opal elm
hello, for this one can i just use the dot product formula and solve for cos(theta) ?
cos(θ) = (u*v)/(|u| |v|) this one
restive river
solve for theta, not cos(theta)
but yes use that formula
note that its asking for the obtuse angle so make sure your angle is obtuse
restive river
that looks good
restive river
help
stuck field
Do you realise how negative exponents work?
woven radishBOT
What the hell am I doing here?
restive river
i think they're referring to the case of the limit of x approacing 0 from the opposite side to 0+
Thank you. I have a poor understanding of mathematics
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stuck field
i think they're referring to the case of the limit of x approacing 0 from the op...
I mean if you read what I said, then it connects to what they're asking well.
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sharp wing
May I get a grip within this problem?
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May I get a grip within this problem?
sharp wing
I'm stuck within this, it's been a while I've done this math, but this is all within Quadrilaterals, is there a formula for thus?
flat talon
u need help solving the issue ?
untold pivot
Where are you getting 180 from
sharp wing
Wait, I think I understand it now.
AT = 21
Meaning it must be the same within CT
Knowing it's the same length
untold pivot
Meaning it must be the same within CT
by what property do you know its the same
sharp wing
by what property do you know its the same
Uhh,
untold pivot
usually you would just set 21=2x+13 and do some algebra from there, but yes the answer is 4
untold pivot
thats the problem with the question, it doesnt explicitly say that the shape is a parallogram
but your suppose to assume it is otherwise theres no way to solve it. For a paralellogram, the diagonals bisect each other, so AT=CT
sharp wing
but your suppose to assume it is otherwise theres no way to solve it. For a para...
Right right
sharp wing
Yeah, isn't Quad = 4 sides, right?
untold pivot
yes but for the shape above, its not true that the diagonals bisect each other
sharp wing
That's true.
untold pivot
so you won't be able to say that AT=CT for the shape i sent there
sharp wing
Right
untold pivot
but clearly the question is talking about a parallelogram and not just any quadrilateral otherwise it would be unsolvable, just something to keep in mind
sharp wing
Within this, I don't clearly understand what it is telling me.
sharp wing
but clearly the question is talking about a parallelogram and not just any quadr...
Right right, thank you.
untold pivot
Within this, I don't clearly understand what it is telling me.
what part don't you understand, the question itself or how to get there
untold pivot
the angle ABC is a right-angle because question told us the shape is rectangle right
try drawing in that right-angle and flipping the page upsidedown and stare at it for abit
sharp wing
Right, use "Rectangle ABCD"
Hmm, I don't get it much, lol.
I noticed within the A, there is a square
untold pivot
try drawing in that right-angle and flipping the page upsidedown and stare at it...
do this and see if you have a right-angled triangle
sharp wing
Isn't that anything important, like an angle?
untold pivot
a right-angled triangle that you know the value of two sides
untold pivot
I noticed within the A, there is a square
that means right-angled
sharp wing
do this and see if you have a right-angled triangle
Ohh, I see it
untold pivot
and have you solved a question like this before involving a right-angled triangle and where you know two of its sides and now have to find the last?
sharp wing
and have you solved a question like this before involving a right-angled triangl...
Hmm, maybe a while ago, but not now
untold pivot
pythagoras's theorem right?
untold pivot
try that
sharp wing
Okay okay
I'm confused, because within it being squared
There is no number that squares up to 36
34*
But there is one for 16
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neat night
There is no number that squares up to 36
what are you talking about
sharp wing
I meant 34
restive river
any tips?
neat night
what’s the box for
restive river
it's a mistake
neat night
just plug in 0
restive river
2*sin0/2?
neat night
yes
restive river
I have poor mathematical knowledge, what next
neat night
what is sin(0)
restive river
sin(0) = 0
neat night
okay then your answer is 0
restive river
but there is sin 0/2
restive river
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dry rover
hi
dry rover
for which value of a, b and c is f(x) differentiable at 1?
So first I was trying to find for which value of (a, b, c) it is continuous; and the limite of f(x) approaches 1< is -3; so c should be -3
but then after that, I found -pi for the limit of the rate of change when approaches 1<
why is it different?
sullen island
you speak french ?
dry rover
oui
sullen island
okok
pourquoi est-ce que la fonction et sa dérivée devraient valoir la même chose ?
dry rover
ah oui c vrai
sullen island
même si je prends juste un gentil x^2 ça marche pas
enfin bon sinon
t'as encore a et b à trouver
donc probablement deux équations à trouver reliant a et b
on résout et on a gagné
quelles conditions doivent être ok sur la partie >1 pour que f soit dérivable ?
dry rover
quelles conditions doivent être ok sur la partie >1 pour que f soit dérivable ?
il faut que la limite du taux d'accroissement en 1 soit egale à -pi
dry rover
je ne sais pas?
il faut que la limite de cette partie soit égale à -3 quand x tend vers 1
sullen island
oui voilà si ta fonction est pas continue, osef qu'elle soit dérivable
dry rover
donc dabord je cherche la continuité
et la limite à gauche de 1 c'est -3, et f(1)=-3; et donc 1+a+b=-3:
a+b=-4
c=-3
maintenant derivée:
la limite du taux d'accroissement de la premiere partie quand x tend vers 1 est -pi
et dans la derniere partie c'est a+2
donc a+2=-pi
a=-2-pi
donc b=-4+2+pi
b=6+pi
conditions: a=2-pi, b=6+pi, c=-3
@sullen island
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restive river
how did they convert ( omega / i ) to highlighted part?
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how did they convert ( omega / i ) to highlighted part?
stone stump
1/i=-i
restive river
i don't understand how i^-1 is -i?
rugged sparrow
i don't understand how i^-1 is -i?
Multiply it by i/i
to remove i from the denominator
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pearl trellis
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pearl trellis
I knew that the far left triangle is a Pythagorean triple and so is the one next to it
So now what?
<@&286206848099549185>
cobalt cipher
12^2+a^2 = 15^2
a = 9
if theres a 30-degree angle in a right triangle, that means the side that corresponds to it is 1/2 of the hypotenuse
gl
pearl trellis
Sorry I’m trying to find AB
Length AB
@cobalt cipher
Please refer to the first picture
cobalt cipher
look at the next message i sent after that
cobalt cipher
I put 9 there as you can you in the second pic
oh, i thought that was a, i couldnt read what you had written
cobalt cipher
For the bigger triangle
yes
pearl trellis
if theres a 30-degree angle in a right triangle, that means the side that corres...
Oh wow I didn’t know this rule
cobalt cipher
Would be the the length of AB
yes
yeah it is a key rule to know if you want to solve these problems
pearl trellis
Okay I see
I know that the 90 degree angle will have the largest corresponding side
And 30 degree will have the smallest
And that two sides of a right triangle when added together must be greater than the hypotenuse side
That’s pretty much all I know
And then Pythagorean theorem
cobalt cipher
i mean, always bigger angles correspond to bigger sides, and always the sum of either two triangle sides must be greater than the third
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reef carbon
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surreal frigate
restive river
,tex .original
woven radishBOT
Toby
reef carbon
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pseudo basin
0/0 is not an answer, it is only an indication that more work needs to be done
in this case it is possible to reason why the limit is 0
onyx basin
why
pseudo basin
"why" as in "why is it possible to reason?" or as in "so why is the limit 0?"
onyx basin
why is it possible to reason
pseudo basin
a line of reasoning exists, that's why.
i mean ok its a bit asinine of me to ask that
easier to just show you what it is
x^4 + 2y^4 ≤ 2x^4 + 2y^4 = 2(x^4 + y^4) ≤ 2(x^4 + 2x^2y^2 + y^4) = 2(x^2+y^2)^2
so your function is squeezed by 2(x^2+y^2) and 0
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onyx basin
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restive river
i wish that translation made sense, like at all
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onyx basin
<@&286206848099549185>
unique bone
<@&286206848099549185>
What grade u on?
onyx basin
What grade u on?
why
arctic temple
@onyx basin you have find partial g with to variable s at (1,\sqrt(2))
similarly for variable t
Apply multivariable chain rule
$\frac{\partial g}{\partial s}= \frac{\partial f}{\partial x} \frac{\partial x}{\partial s}$
$\frac{\partial g}{\partial s}= \frac{\partial f}{\partial x} \frac{\partial x}{\partial s} + \frac{\partial f}{\partial y} \frac{\partial y}{\partial s}$
woven radishBOT
.doc
arctic temple
Computing this and evaluating at (1,sqrt(2)) will give you answer for q1.
languid tangle
woo this is first time in my life seeing these type of questions...
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restive river
hi
restive river
im strugglng with this
heres my work
i got the point (2,-1,-1) from using r = 1 in L3
i got the point (-3,-10,2) from L2 standard equation
used them to get the vector <-5,-9,6>
cross producted that from the vector from l3 standard equation
got thhe normal vector -12,-4,-4
divided the magnitude of that by the magnitude of l3 standard equation vector
got sqrt(176)/sqrt(6)
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dreamy wave
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dreamy wave
Hello, I don't understand why the second method is correct and the first one is incorrect
topaz axle
the first one counts the same group multiple times
dreamy wave
How?
Using combinations, I first choose 1 random boy (6 possibilities) then a random girl (4 possibilities) and a random from the rest
8 possibilities
topaz axle
e.g. "first male, 6th male and first female"
this method would count that, and then count it again
2 times total
dreamy wave
why would it count it again?
dreamy wave
why does the first double count and the second doesn't?
topaz axle
you first choose random boy (6th one) then random girl (first one), then random person (1st boy)
you first choose random boy (1st one) then random girl (first one), then random person (6th boy)
the second one just doesn't do it
dreamy wave
I see
And how should I think so my mind knows that I will double count if I do the first method?
topaz axle
🤷
dreamy wave
How do you know that you will double count?
Btw, if it double counts, wouldn't it mean that half of the results would be correct? But that's not true since 192/2 =!= 96
low fossil
192/2 = 96
topaz axle
yeah, so it doesn't double count everything neatly
topaz axle
oh it does
low fossil
perhaps think about why 6C1 * 5C1 =/= 6C2
because you can not pick "2" from a set of "6" by selecting one and then selecting two. thats counting (1,5) and (5,1) as two instead of one
dreamy wave
because you can not pick "2" from a set of "6" by selecting one and then selecti...
you meant selecting one and then selecting another one?
low fossil
yes. thats the incorrect way to go about it. no?
low fossil
the first one would be true if the leftover (8) set was disjoint from the first two, it is not!
dreamy wave
the first one would be true if the leftover (8) set was disjoint from the first ...
what do you mean disjoint? +?
low fossil
no intersection
dreamy wave
How do I write that?
low fossil
two sets are said to be disjoint sets if they have no element in common
low fossil
How do I write that?
huh?
low fossil
im just trying to explain the why first one is wrong and second is right
low fossil
Sorry I don't have a good vocabulary
no problem
dreamy wave
1 second I'm thinking
dreamy wave
the first one would be true if the leftover (8) set was disjoint from the first ...
Ok I understand this. And I understood and I know that 6C1 * 5C1 =/= 6C2 but I don't really understand why.
low fossil
why is 6C1 * 5C1 =!= 6C2?
well
6C1 is selecting one from a set of 6. 5C1 is selecting 1 from a set of 5.
multiply together, you get 6 * 5 = 30
dreamy wave
Yes
dreamy wave
I know that it's not equal, I'm not seeking the calculations for why is it not the same, I am seeking what is not the same in the logic
Maybe I spoke too early sorry you're still typing
low fossil
the first is for when you have two sets you need one element each from. the second is for when you have one set you need two from
dreamy wave
the first is for when you have two sets you need one element each from. the seco...
Ok and since I end up needing to select 1 from a set that has both I can't do the first way
low fossil
we can see that there is double counting involved in the first. because 6C1 * 5C1 counts (1,2) and (2,1) differently. we dont want that
yes. you need either 2 from M and 1 from F
OR 2 from F and 1 from M
dreamy wave
we can see that there is double counting involved in the first. because 6C1 * 5C...
that (1,2) (2,1) syntax makes me confused
I don't get that
I get it but at the same time not
low fossil
i have a set {1,2,3,4,5,6}
dreamy wave
You are saying it first selects 1 and then selects 2 and 5C1 does the second one
low fossil
i have a set {1,2,3,4,5,6}
how many 2-combinations can i make from this set?
6C2
=15
but what if i use 6C1 * 5C1
lets say the first term 6C1 selects 1
and then 5C1 selects 2
so we get the combination (1,2)
next, 6C1 selects 2 and 5C1 selects 1
so we get the combination (2,1)
IT COUNTS THESE AS TWO DIFFERENT COMBINATIONS (THEY ARE NOT)
this is why we say we are "DOUBLE COUNTING"
dreamy wave
Okaaay I got that, and in the second way (6C1 * 4C2) + (6C2 * 4C1) I don't have the problem you're pointing here because I am choosing 1 boy from a set of only boys, then 2 girl from a set of only girls plus the other way around
2 boys and 1 girl
low fossil
yes
dreamy wave
IT COUNTS THESE AS TWO DIFFERENT COMBINATIONS (THEY ARE NOT)
Hmmmm and is there a way to rewrite the first method?? Using arrays or factorials I don't know
Or dividing and having an explanation for that division without it being because I am double counting
low fossil
the first approach just wont work here without division (and that looks ugly)
low fossil
lmfao
dreamy wave
Okii thank you a lottt utrebstoooooo
low fossil
np
dreamy wave
How do I close this?
low fossil
.close
summer ocean
Hi, I need help for this question,
Also
I got x = pi/2 + pi(n), n in Z
Would it be correct? If so, why?
devout snowBOT
Hi, I need help for this question,
Also
I got x = pi/2 + pi(n), n in Z
Would it ...
summer ocean
what is "the proof"
They're both equal
magic pine
but what proof are they refering to
summer ocean
The expression ig
graceful cosmos
I think they meant to say "which values is the identity valid"?
magic pine
ah
summer ocean
Yeah
graceful cosmos
Which, it's an identity right?
Other than some values which cause problems
I think you've correctly pointed out where the identity isn't valid
magic pine
I think you've correctly pointed out where the identity *isn't* valid
||they did so for tan^2 + 1 = sec^2||
summer ocean
Cos is at the bottom
Wait..
Sinx is at the denom of cotx
So its undefined at x = pi(n)
Right?
magic pine
yes
summer ocean
So would it look like this:
x = pi(n), n in Z?
magic pine
what is the question asking you to find
summer ocean
For which values of x is it valid
magic pine
and what did you find
summer ocean
Invalid interval
jaunty mantle
Give them a set
magic pine
So would it look like this:
x = pi(n), n in Z?
this accurately depicts the values for which the identity is not valid
jaunty mantle
^^
magic pine
can you use that to give the values where it is valid?
magic pine
Isn't it just all real numbers outside of that range?
yes
magic pine
so x in Z?
no
magic pine
what kind of ways have you been taught to show a domain?
intervals? sets? equalities?
summer ocean
Intervals and sets
summer ocean
D: { x/= pi + pi(n), x e Z}
summer ocean
Is it correct now?
summer ocean
To include negative numbers
summer ocean
Yeah
magic pine
except pi * n for any integer n
summer ocean
Yes
magic pine
the set you built
which i'm going to write in the more standard order
is
${ x \in \mathbb{Z} | x\ne n\pi}$
woven radishBOT
maximo
magic pine
is 1/2 in this set?
summer ocean
No
summer ocean
It's not undefined then?
magic pine
what do you mean
summer ocean
U mean pi/2?
summer ocean
Oh
magic pine
is 1/2 in the set we wrote above?
summer ocean
Not sure
magic pine
do you know what that set notation is saying
summer ocean
Z is saying all positive and negative numbers
woven radishBOT
maximo
summer ocean
Integers
woven radishBOT
maximo
devout snowBOT
@summer ocean Has your question been resolved?
cyan fossil
how is this
devout snowBOT
how is this
cyan fossil
i tried all ways i always get either 10 or 12 or -8 new answer everytime
devout snowBOT
Show your work, and if possible, explain where you are stuck.
verbal meadow
cyan fossil
I multiply first then do dot product?
devout snowBOT
devout snowBOT
Available help channel!
dense sail
in a inequality, lets say x < y , if i apply a strictly increasing function, does the inequality stay the same? what about a strictly decreasing function?
striictly increasing -> 1st derivative is always positive
strictly decreasing -> 1st derivative is always negative
devout snowBOT
in a inequality, lets say x < y , if i apply a strictly increasing function, doe...
feral agate
inequality sign flips in second case, stays the same for first case
dense sail
thanks sir
devout snowBOT
Available help channel!
jaunty seal
i feel like this is a dumb question but how do we solve this without using a calculator
devout snowBOT
i feel like this is a dumb question but how do we solve this without using a cal...
jaunty seal
$14^2-14 x 11$
woven radishBOT
𝖈𝖆𝖘𝖍𝖞𝖈𝖔𝖎𝖓𝖘
jaunty seal
-14 times 11 but it’s showing it as the value x
i did 14(14-1x11)
but apparently that’s wrong
we have to do 14(14-11) but why is that
<@&286206848099549185>
devout snowBOT
<@&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.
jaunty seal
Dude are u even gonna help
boreal pier
hello
jaunty seal
yo
boreal pier
did u memorize ur squares
jaunty seal
i guess but i already know this and there’s more complex things in my revision sheet it’s just that this is the only thing confusing me
boreal pier
i see
jaunty seal
196
boreal pier
niiice
jaunty seal
ohh u meant like the timetable thing
jaunty seal
I don’t have those at the top of my head rn but ik how to solve it
jaunty seal
whats 14 x 11
154
boreal pier
now subtract them
boreal pier
thats ur answer
boreal pier
yep
jaunty seal
and then we multiply 14 by 11 and subtract them because it’s negative 14
boreal pier
yea
jaunty seal
which is absolutely confusing
boreal pier
ok
jaunty seal
boreal pier
do you know about pemdas
boreal pier
what u did above was called factoring
jaunty seal
oh
can u tell me how to factor such equations in case it asks me in the exam if u don’t mind
boreal pier
sure
jaunty seal
yay thanks
boreal pier
do u know distibutive property
jaunty seal
nope
boreal pier
ok
jaunty seal
i think i may know it if u show it to me
but we probably have a different name for it
boreal pier
2(2+3)
jaunty seal
that’s 10
boreal pier
then you can multply 2 by each term in the parenthesis
like this
2 x 2 + 2 x 3
make sense?
boreal pier
also
jaunty seal
ye i understand it
jaunty seal
wdym
boreal pier
?
jaunty seal
yea
boreal pier
ok
so if you have:
3x+3y
you can do the above, but in reverse
3(x+y)
make sense?
jaunty seal
but i don’t understand why we did that, lemme show u what i did
boreal pier
ok
jaunty seal
i did 14(14 so that it’s 14 squared, then i added -1 so that it matches the equation (-14) and then i multiplied 11
boreal pier
yea
jaunty seal
Dude i’ve legit been struggling over it for a whole month
boreal pier
wow
jaunty seal
common mistake
Thanks for understanding
boreal pier
but now u know
boreal pier
omg really
jaunty seal
but now u know
yesss 💪
jaunty seal
omg really
yes LMAOOO
boreal pier
great work
jaunty seal
thanks man 😁
boreal pier
np
jaunty seal
also thank u so much for ur help
final hatch
how does this make sense
devout snowBOT
how does this make sense
final hatch
its from the answer key
fallen garnet
i need help with a question
final hatch
find different channel, i claimed this one
<@&286206848099549185> no other responses for 15 mins, but i would still like to understand this question
final hatch
20 percent of what
boreal pier
number of sales
final hatch
oh i see
final hatch
i thought that was the number of tickets sold
boreal pier
i see
but, now we can say that
0.2 * x = 30
where x is the total number of sales
make sense?
final hatch
yeah i understand now that i saw it was the percent of sales 💀
final hatch
well the answer was already there in answer key
its just that i didn't know how that got there
until now
craggy quiver
devout snowBOT
supple knot
how do you go from the top line to the bottom line
Show the full context
supple knot
how do you go from the top line to the bottom line
They just canceled the square with the 3/2 in the exponent
(a^2) ^ (-3/2) = a^(-3)
devout snowBOT
@craggy quiver Has your question been resolved?
restive river
Does anyone know how to get from step 2 to 3 in this projection explanation? From Linear Algebra.
devout snowBOT
Does anyone know how to get from step 2 to 3 in this projection explanation? Fro...
@restive river Has your question been resolved?
devout snowBOT
@restive river Has your question been resolved?
restive river
<@&286206848099549185>
devout snowBOT
@restive river Has your question been resolved?
ancient trail
@restive river I'm typing up a response
restive river
thank you
I found another proof for the situation that involves angles, but I dont understand this method
devout snowBOT
devout snowBOT
Available help channel!
flint snow
Can someone turn this into a table model
devout snowBOT
Can someone turn this into a table model
flint snow
