#help-10

1 messages · Page 347 of 1

halcyon horizon
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i came across this when i was working on some ai stuff

oak plover
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You can get constants out of derivative actions

halcyon horizon
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ah ok

oak plover
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Or do you just want an answer

halcyon horizon
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I know how regular derivatives work

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not how partials work

oak plover
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They are similar

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Just everything else is a constant except for the variable

halcyon horizon
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ah ok

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so most of the things will just kinda get removed from the derivative?

oak plover
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Not really

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What is U and b

halcyon horizon
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they're separate

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none of the variables are related to each other by anything other than that equation

halcyon horizon
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ok

oak plover
halcyon horizon
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so the +c part will just disappear?

oak plover
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Yes

halcyon horizon
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ok give me a minute let me work it out

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so im getting -2Uxy(sech^2(Wx+b)) for the first part

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like -2y y hat part

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.close

obtuse pebbleBOT
#
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magic geyser
#

yo

obtuse pebbleBOT
magic geyser
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can someone explain this to me

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x is 20 because log 6 is same

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but how did they get that equation

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nvm its just one of the rules

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.close

obtuse pebbleBOT
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magic geyser
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!close

#

.close

obtuse pebbleBOT
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lofty trench
obtuse pebbleBOT
lofty trench
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this is as far as i can get

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in ax+bx+c=0 idk what a is and what b is, or how to get them

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<@&286206848099549185>

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can anyone perchance tell me what a, b and c represent so i can try to solve?

fathom tapir
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I can help you with that

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y = mx + q is your typical formula

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move everything to lhs

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y - mx - q = 0

lofty trench
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whats lhs?

fathom tapir
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left side

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of the equals sign

lofty trench
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yeah but what about ax+bx+c=0

fathom tapir
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rearrange as follows

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-mx + y - q = 0

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compare with ax+by+c = 0

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a = -m , b = 1 , c = -q

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so if you can solve using mx+q you can move to the ax+by+c form

lofty trench
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this is all i know how to do (with derivatives)

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so idk what q is 😭

fathom tapir
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oh sorry q is c

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I'm used to calling it q

lofty trench
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oh ok

fathom tapir
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it's the term with no x or y

lofty trench
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ok lemme try rq

fathom tapir
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aight

lofty trench
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ok so now what?

fathom tapir
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hold on

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I haven't done this in a while

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but I think it should be:

lofty trench
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take ur time

fathom tapir
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find the derivative of the function

y = 2x^2
y' = 4x

gradient = y'(2) = 8
gradient for normal = -1/y' = -1/8

formula for line:

y - py = -1/8 (x - px)

px = 1
py = 2

y - 2 = -1/8 (x - 1)

y = -1/8x +(-1/8+2)

using previous identity:

a = -m , b = 1 , c = -q

a = 1/8 b = 1 c = -(1/8+2) which is 9/8). so the solution should be 1/8x+y+9/8=0

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can you verify it's correct? I'm a bit rusty

lofty trench
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what does y' mean

fathom tapir
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y' is the derivative of the the function

lofty trench
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im afraid it isnt 😦

fathom tapir
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hold on let me double check

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oh

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I'm silly

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I think I found it

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find the derivative of the function

y = 2x^2
y' = 4x

gradient = y'(1 (not 2) ) = 4
gradient for normal = -1/y' = -1/4

formula for line:

y - py = -1/4 (x - px)

px = 1
py = 2

y - 2 = -1/4 (x - 1)

y = -1/4x +1/4+2 = y = -1/4x + 9/4

using previous identity:

a = -m , b = 1 , c = -q

a = 1/4 b = 1 c = -9/4 -> 1/4x+y-9/4 = 0 multiply everything by 4 to make it look cleaner = x+4y-9 = 0

lofty trench
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now i get it

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thanks bro

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.close

obtuse pebbleBOT
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fathom tapir
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you welcome haha

fathom tapir
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so like solving without using the y = mx +c form

obtuse pebbleBOT
#
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wanton oar
obtuse pebbleBOT
wanton oar
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could someone please explain this q to me, Im stuck on what to do

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if I had to guess it would be (0.8+0.06)/2 but Idk how to explain it in the proper way

obtuse pebbleBOT
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@wanton oar Has your question been resolved?

obtuse pebbleBOT
#

@wanton oar Has your question been resolved?

drifting wraith
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there are 2 ways this can happen

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  1. they have it and the test is right
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  1. they dont have it and the test is wrong
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you find probabilities and add

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please do the guessing again, with this new knowledge

wanton oar
drifting wraith
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i meant test is wrong

wanton oar
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so like I have, I should just add? like 0.8*0.1 + 0.06*0.9

drifting wraith
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that's perfect

wanton oar
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okay cool

obtuse pebbleBOT
#

@wanton oar Has your question been resolved?

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dawn bane
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Unsure of where to start for this particular problem?

plain stag
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drawing it is usually a safe start

dawn bane
plain stag
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this is pretty improper

dawn bane
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(I might've drawn it wrong again, I'm terrible at visualizing these things and for some reason it's throwing me off rn)

plain stag
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why have you written "v=4"?

dawn bane
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Fixed it

plain stag
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you should probably write that properly

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now what does "magnitude of v = 4" mean graphically?

dawn bane
plain stag
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on your graph specifically

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that's the physical interpretation of magnitude in general

dawn bane
plain stag
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what does "size of the vector" mean?

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please indicate on your graph exactly how you're illustrating the magnitude of the vector

dawn bane
plain stag
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ok now we're getting somewhere

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what you've illustrated is the magnitude (which means size or length, so you can stop repeating those) of the x-component of the vector, not the vector itself

obtuse pebbleBOT
#

@dawn bane Has your question been resolved?

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undone halo
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Hello!

obtuse pebbleBOT
undone halo
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Can anyone give me a run down of how to solve special right triangles?

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Im in geometry and doing a trig unit right now. But I dont really understand how to solve them

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pls ping me when you respond btw

humble wave
undone halo
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sure

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let me get a screen shot!

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something like this

urban lichen
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so

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in a 30-60-90 triangle

undone halo
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btw, can you also explain a 45 90 45 when your done?

urban lichen
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alright

undone halo
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thank you

urban lichen
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say the shorter leg of a 30-60-90 triangle is x

undone halo
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yeah

urban lichen
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the longer leg is $x \sqrt{3}$ and the hypotenuse is $2x$

warm shaleBOT
#

Gamer Sans The Gamer Skeleton

urban lichen
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in a 45-90-45

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the leg (both legs are same size) is $x$, and the hypotenuse is (by pythag) $x \sqrt{2}$

warm shaleBOT
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Gamer Sans The Gamer Skeleton

undone halo
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wait so how would you solve them after that?

urban lichen
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what do you mean

undone halo
urban lichen
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$x$ is the shorter leg

since (by the ratio) $2x = 22$ (the hypotenuse), $x = 11$

same goes for $y$

warm shaleBOT
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Gamer Sans The Gamer Skeleton

undone halo
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ohhh

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im kind of getting it

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Do you know anywhere where I can get practice problems for this subject?

urban lichen
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uhhhhhh
not exactly

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just kinda stick it in your head

undone halo
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wait

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so for the 45 90 45

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actually let me send a screen shot

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so both of the legs would be 10 square root of 2 right?

urban lichen
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yep

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sorry for being late

undone halo
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wait so what would that be

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like in a whole number form

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and no problem lol

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or how would i figure that out

urban lichen
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wdym by whole number form

undone halo
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dont you have to solve that

urban lichen
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no
you only have to solve for x which is $10 \sqrt{2} \cdot \sqrt{2} = 10(2) = 20$

warm shaleBOT
#

Gamer Sans The Gamer Skeleton

undone halo
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ohhh

urban lichen
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by the formula ofc

undone halo
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so for 45 90 45

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what if the current x was a number and one of the other sides was x?

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like this kinda

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btw thx for the help :)

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have a math test tomorrow and needed last minute help lol

urban lichen
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if the hypotenuse was a set value, then the leg would (taking the ratio opposite way) $\frac{x}{\sqrt{2}}$

warm shaleBOT
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Gamer Sans The Gamer Skeleton

urban lichen
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the hypotenuse is x there sorry for confusion

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and np

undone halo
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no problem!

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so if the hypotenuse was 16

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i would do 16/square root 2

urban lichen
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the leg would be $\frac{16}{\sqrt{2}} = 8 \sqrt{2}$

pretty much

warm shaleBOT
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Gamer Sans The Gamer Skeleton

undone halo
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wait so without a calculator how would I solve that? Just divide 16 by 2?

urban lichen
#

here's something better:

$\frac{x}{\sqrt{2}} = \frac{x \sqrt{2}}{2}$ is better

warm shaleBOT
#

Gamer Sans The Gamer Skeleton

undone halo
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wait so how would I solve that? Srry lol. Would I just do 16 square root 2 divided by 2?

urban lichen
#

yeah

more like $\frac{16}{2} \sqrt{2}$ (by taking the root 2 out of the numerator)

warm shaleBOT
#

Gamer Sans The Gamer Skeleton

undone halo
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so I would divide 16 by two and find the square root of 8?

urban lichen
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divide 16 by 2

multiply that by square root of 2

thats it

undone halo
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and the square root of 2 is just 2 right?

urban lichen
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how is $\sqrt{2} = 2$?

by definition that means $2 \cdot 2 = 2$ XD

warm shaleBOT
#

Gamer Sans The Gamer Skeleton

undone halo
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ok lol

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let me practice for one more and see if i get it right

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so for this one

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hmmm

urban lichen
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its a little more complicated here

undone halo
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wait so what would I do?

urban lichen
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so
$x$ is the number we depend on
by the ratio (1 : sqrt(3) : 2), $15 = x \sqrt{3}$

$x = 5\sqrt{3}$

warm shaleBOT
#

Gamer Sans The Gamer Skeleton

urban lichen
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texit formatting KEK

undone halo
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💀

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can you explain that in a bit simpler forms lol

urban lichen
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alright

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the ratio between shorter leg : longer leg : hypotenuse is
1 : sqrt(3) : 2

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15 would be the longer leg
so x would be 15/sqrt(3)

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which (by some quick calculations) is 5sqrt(3)

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we know x is 5sqrt(3)

by the ratio, y is double that
so y is 10sqrt(3)

ya getting it?

undone halo
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ohhh mostly lol

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let me get one more problem to practice with lol

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so this one

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the hypotenuse is 16

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so I would do 16 (sqrt) 2?

urban lichen
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16 divided by sqrt(2)

dont forget

which is 8sqrt(2)

undone halo
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wait why is it divided again?

urban lichen
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  1. the hypotenuse is the longest side of a right triangle
  2. the ratio from leg to hypotenuse is 1 : sqrt(2)
undone halo
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ohhh ok

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so one I have 8 sqrt(2)

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that is x?

urban lichen
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yep

undone halo
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oh ok

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thank you for the help!

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have a great rest of your day / night!

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i think the command is .close

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.close

obtuse pebbleBOT
#
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obtuse pebbleBOT
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drifting wraith
#

um

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why does it look like a challenge

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problem of the week?

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how does it take a week

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the circle is 9 times larger

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it means the circumference is 3 times larger

obtuse pebbleBOT
#

@unborn stream Has your question been resolved?

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lethal ice
#

i think i know the formula but im not sure how to use it

lethal ice
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i thought it was just (1/35)(integral from 0 to 5 integral from 0 to 7 of 5e^y sqrt(x+e^y) dx dy)

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@me if you reply cuz im doing other problems tysmmm

stable hill
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you may want to switch order of integration

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its easier if you do y first

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@lethal ice

lethal ice
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but is the setup right?

stable hill
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yeah it looks good

lethal ice
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oh ok thanks

lethal ice
stable hill
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generally if the first order doesnt work, try the other one lol

lethal ice
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Lol

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thats real

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thanks

#

.close

obtuse pebbleBOT
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stable hill
#

youre welcome

obtuse pebbleBOT
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lethal ice
#

not sure what part 2 is asking

obtuse pebbleBOT
lethal ice
#

also why is 3 wrong?

latent walrus
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D will be a function of x

lethal ice
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ohoh

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-5x/6 +1/2

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and part 2 is the same but with x coming first and H being a function of y?

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but x is a straight line

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or maybe not wait

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im not sure

latent walrus
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i believe H will be the function still yes, in terms of y

lethal ice
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should i use the y = -5x/6 +1/2 and solve for x?

latent walrus
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can do

lethal ice
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i tried that but it said it was wrong

latent walrus
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perhaps try putting it for G

lethal ice
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sorry i shouldve clarified

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everything is correct except H

latent walrus
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ahh

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okay give me a mo, been a while since i did this stuff

lethal ice
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youre ok no worriesss

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i have another question after this one it's a lot easier i just forget how to set it up

latent walrus
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unless im tripping

lethal ice
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ill try it one sec it loads

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nah

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i also tried just using the exact same equation lol

latent walrus
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think im going out on a limb here

but maybe x=-6y/5+3/5

lethal ice
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i tried that it was my first guess pandaohno

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my computer has 6% i have to return to my room ill be back in a moment

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we can abandon this question

latent walrus
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oh dear oh dear

lethal ice
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g1 was wrong, can you help me find out why?

obtuse pebbleBOT
#

@lethal ice Has your question been resolved?

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merry jetty
#

how does a second order derivative give us the concavity

merry jetty
#

how does it work

ruby path
#

look at the slopes of the tangent lines

twin sandal
#

second derivative tells us how fast the rate of change is changing, or how fast the slope is changing

ruby path
#

if the slope is increasing, the graph curves upwards, and the second derivative is positive.
if the slope is decreasing, the graph curves downwards, and the second derivative is negative

obtuse pebbleBOT
#

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azure viper
#

I can try

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do you have a picture of the problem

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Is it like triangles or quadrilaterals

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a tip for triangles is that the 3 angles always add up to 180

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so if you get a right triangle and it only tells you 2 angles you can use that to get the third

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can you send an example problem of something youve done in class recently

latent walrus
#

youre being too general for anyone to give you anything

azure viper
#

yeah

latent walrus
#

well

azure viper
#

well

latent walrus
#

<@&268886789983436800>

azure viper
#

its underlined in the rules bro

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impossible to miss

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rip

hot hazel
#

.close

obtuse pebbleBOT
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past walrus
obtuse pebbleBOT
past walrus
#

Hey guys, I am a little confused as to what x is

latent walrus
#

you mean for the x=...

past walrus
#

yes

latent walrus
#

just rearrange u=1-x, dont overthink it

past walrus
#

is that just du?

latent walrus
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no

past walrus
#

So like this essentially?

upper kindle
#

Yeah

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Ohk it's right

past walrus
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wouldn't du be negative 1? Cuz x is negative?

upper kindle
#

Yeah right

latent walrus
#

it wanted x, not -x, but sure

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du=-dx

obtuse pebbleBOT
#

@past walrus Has your question been resolved?

obtuse pebbleBOT
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obtuse pebbleBOT
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rich vale
obtuse pebbleBOT
rich vale
#

Question a

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answer^

latent walrus
#

okay

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do you have a question

rich vale
#

well

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yes

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i did send one

latent walrus
#

you sent a question, and its answer

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you never said what your issue is

rich vale
#

i have the answers but not sure how to get to it

latent walrus
#

its undoing a binomial expansion if youre familiar with those

rich vale
#

not entirely, brandnew to the topic

latent walrus
#

ah, the main thing to look out for are the coefficients
in a
you have 1+3a+3a^2+a^3
the coefficients follow the ncr for n=3
3c0=1 3c1=3 2c2=3 3c3=1

and the r values match the power of a, so one can recognise this as the expansion of (1+a)^3

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you know its a + because the sign never changes between terms

rich vale
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Ohhhhh ok

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i get you

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but the question says without expanding the equation

latent walrus
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that doesnt expand it

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youre doing the opposite really

rich vale
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oh ok ok

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tysm

latent walrus
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np

rich vale
#

🙏

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.close

obtuse pebbleBOT
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obtuse pebbleBOT
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cyan thicket
obtuse pebbleBOT
bright basin
#

100 < 22 + 51 + x

last pilot
#

it's pretty easy

bright basin
#

Find x

last pilot
#

no no no

#

@bright basin TOTAL cost is $100

cyan thicket
bright basin
last pilot
#

all good

cyan thicket
last pilot
#

@cyan thicket just a question, what grade/level is this

cyan thicket
#

7th grade austrlian

bright basin
last pilot
#

yep

cyan thicket
last pilot
#

look, profit is basically the selling price minus the cost

bright basin
#

Isolate x and you’re done, Goodluck!

cyan thicket
#

shoot i have 20 mins left

last pilot
#

because you have to pay off your debts (your cost) as well.

bright basin
#

You probably got it wrong since you were using = instead of > or something similar

cyan thicket
#

thats my question

last pilot
#

so as bulbasaur said, the cost is $100
in order to make a profit, the selling price must be larger than the cost--so $22 + $51 +$x must be LARGER than $100

last pilot
cyan thicket
bright basin
obtuse pebbleBOT
#

Please do not advertise your help channel or thread in other parts of the server. There are many people who need help, so advertising can quickly turn into spam.

last pilot
#

and yes i saw ur question, be there in a sec.

bright basin
#

Ah, got it. Won’t do that in the future

cyan thicket
#

so i need to finish this by tomorrow

last pilot
#

anyway, as bulbasaur said: that can be expressed as $22 + $51 + $x > $100
that can be simplified into $73 + $x > $100

last pilot
cyan thicket
#

yes he did

last pilot
#

so u got it?

cyan thicket
#

still no

#

im in the second worst math class

last pilot
#

sighs

cyan thicket
#

so u know

last pilot
#

this isn't really that hard

#

okay let's see, i'll explain again.

#

let's say you have $0: you're broke

cyan thicket
#

yea

last pilot
#

now, you make three pots for $100. now, you don't have that money, so you promise to pay the dude who sells u clay and stuff $100 back later out of the money u get from selling the pots

#

this is cost: the $100 is cost

cyan thicket
#

so its more than $27 the answer

#

Thanks so much

last pilot
#

now you sell two pots for $22 and $51, that makes $73. if you want a profit, that means you want some money LEFT OVER for yourself--so you must sell the third pot so that the total selling price is larger than $100--which is the amount u need to pay

#

np

cyan thicket
#

U helped me

last pilot
#

yes more than $27

#

np np

#

!done

obtuse pebbleBOT
#

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cyan thicket
#

.close

obtuse pebbleBOT
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timid silo
#

Is this the correct channel? When did discord become completely insane? I just have a theory question I dont need help with math homework

timid silo
#

Okay I CAN read let me type this out

#

I was reading about n-body problems and it is stated that the 2 body problem is "solved" and the 3 body problem is "unsolved", which on wikipedia is explained as:

There is no general solution that can be expressed in terms of a finite number of standard mathematical operations.

I remember learning trig and finding out the actual sin cosin and tangent equations your calculator is approximating involve hypothetically infinitely recursive equations.

My question is, what does this really mean? I assume it doesnt mean trig is unsolved, I am just confused about these terms

#

If this is just a case of wikipedia being wrong that would also figure

obtuse pebbleBOT
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@brisk glade Has your question been resolved?

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spring steeple
#

I don't understand the hint, why it says common divisors are less than or equal to n-m, shouldn't it be less than or equal to m? If gcd(m,n) = 1 then less than m

brittle vessel
spring steeple
white urchin
#

both of that are true actually

brittle vessel
#

You're right, the gcd can't be greater than m. Although, all it says is that any common divisor is less than or equal to n-m

spring steeple
#

How's common divisor less than or equal to n-m true though?

white urchin
#

it's probably from euclidean algorithm

#

you can search about it

spring steeple
#

Ahh alright

#

Thanks

white urchin
#

np

fiery olive
#

In particular gcd(n,m) is less than or equal to n-m

spring steeple
#

Alright thanks

#

.close

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lone fulcrum
#

need some help with 2b.

obtuse pebbleBOT
lone fulcrum
#

This is what i have already

#

but I am not sure about one thing. Is the bird path only describing the x coordinate of the bird when it hits a building? or the horizontal line it flies across and not neccesarily where the bird hits a building?

obtuse pebbleBOT
#

@lone fulcrum Has your question been resolved?

obtuse pebbleBOT
#

@lone fulcrum Has your question been resolved?

lone fulcrum
#

<@&286206848099549185>

brittle vessel
#

My understanding from the problem description is that a bird path is the horizontal line traveled by the bird, regardless of whether it hits a building.

obtuse pebbleBOT
#

@lone fulcrum Has your question been resolved?

lone fulcrum
#

how would i need to change my code?

#

it is psuedo code btw

brittle vessel
#

Not sure why it would be that complicated. If bird paths only consisted of paths that hit buildings, then the algorithm would never return NIL

lone fulcrum
#

Well consider the following scenario, the root of the RB-tree has a x coordinate less then the x coordinate of the path of the bird and a y coordinate smaller than the y coordinate of the bird path

#

that would mean you would have to search the left and right subtree

brittle vessel
#

The algorithm would be the following:

  • Iterate through the redblack tree in order of x (i.e., start with the smallest x and iterate upwards).
  • In every node, check if bird y >= node.y: if so, return the node and delete it from the tree.
  • If after iterating through the entire tree, no building is hit, return NIL.
    Looking at your pseudocode, this is already what you had in mind
lone fulcrum
#

Does this take into consideration that the x coordinate of the birdpath could be less than the x coordinate of the building?

brittle vessel
#

Presumably you would have the bird travel as you do the search. The bird travels from (0,bird.y) to (bird.x, bird.y). So, in every iteration, update the bird.x along with the node

#

Actually, maybe don't update it if it is possible that the bird doesn't traverse the entire x-line, instead just make sure that bird.x <= T.x

lone fulcrum
#

I changed it to this. I think this is correct @brittle vessel.

#

if you initially call it on the root node

brittle vessel
#

hmm, we never traverse right here though?

lone fulcrum
#

oh oops the last line is supposes to be node.right

#

my bad

brittle vessel
#

Great 👍

#

Don't have it in me to go through the algorithm step by step, but you seem to have the idea figured out

lone fulcrum
#

Thats alright

#

thanks for your time anyway

#

.close

obtuse pebbleBOT
#
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brittle vessel
#

no worries, gl!

obtuse pebbleBOT
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scarlet yoke
#

Hello. Im struggling with a question calc 1

obtuse pebbleBOT
scarlet yoke
#

Can someone help me as to what steps i should take to solve this?

obtuse pebbleBOT
#

@scarlet yoke Has your question been resolved?

scarlet yoke
#

<@&286206848099549185>

civic socket
#

thats a start

#

wait since this is calc 1 then i believe they want the derivative first right? I dunno

scarlet yoke
civic socket
#

use the power rule where $$nx^{n-1}$$

warm shaleBOT
#

アキラ (>_<)

obtuse pebbleBOT
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warm flame
#

Can anyone guide me with this one? Don't know where to start

obtuse pebbleBOT
#

@warm flame Has your question been resolved?

somber bone
#

which problem specifically do you need help with?

warm flame
#

First one and second one I think is just 3/10 and 5/10

#

But the 3rd question

#

I am particularly struggling

#

Can you help me?

somber bone
#

I see, I will take a look

#

im confused as to what you mean by the third question (sorry) can you type the question specifically in the chat?

warm flame
#

A multiple of 3 and a multiple of 2

somber bone
#

okay so basically you're combining (adding) the probability of the spinner landing on a multiple of 3 and the probability of the spinner landing on a multiple of 2

warm flame
#

The ones with green mark are already answered

warm flame
#

anyways I'm not even sure if my solution for H and R is correct

#

But H is 3/10 and R is 5/10

somber bone
#

your answers for the first questions are correct

warm flame
#

Okay thank tou

#

You

somber bone
#

so you just add them together: 3/10 + 5/10 = 8/10

#

and then you need to subtract overlaps

warm flame
#

It's not on the choices

#

💀

warm flame
somber bone
#

did you subtract overlaps?

warm flame
#

How do you that?

somber bone
#

like for example, 6 is both a multiple of 2 and 3

warm flame
#

Sorry I haven't listened to my math teacher for awhile

somber bone
#

so you should do 8/10 - 1/10 = 7/10

#

i believe that's the general idea, is that on the answers?

#

and does this process sort of make sense?

warm flame
#

Yeah it is

#

Yeah it does make sense

somber bone
#

OH SHIT I JUST REALIZED I DID THIS WRONG

warm flame
somber bone
#

did it ask for AND in the problem

warm flame
#

You're a lifesaver

#

Yeah it said AND

somber bone
#

okay let's back up

warm flame
#

Another question

#

What if it said OR?

somber bone
#

okay so i accidentally did the problem after (multiple of 3 OR a multiple of 2)

#

so for the AND problem

warm flame
#

Oh so 7/10 is the or problem?

somber bone
#

you would only count the overlap (the 1/10 probability from the 6)

somber bone
warm flame
somber bone
#

yeah exactly

warm flame
somber bone
#

3rd problem: 7/10, 4th problem: 1/10

warm flame
#

Can you elaborate how you did the 4th problem?

#

I want to learn

#

Not mutually right?

warm flame
#

3rd problem

#

💀

warm flame
somber bone
#

insert profanities, 3rd problem: 1/10, 4th problem 7/10

#

yeah you're right

obtuse pebbleBOT
#

@warm flame Has your question been resolved?

warm flame
#

.close

obtuse pebbleBOT
#
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obtuse pebbleBOT
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untold mountain
#

hello, my question is on the second part of this question, circled in red. my work is in blue. Ive completed the first part of the question, but struggle to understand this second part, would someone be able to help me with this, or link material such as a page or video that will help with this exact second part?

untold mountain
#

i actually also need assistance with the line right above whats circled, where it says write the signal turned on at t=a

obtuse pebbleBOT
#

@untold mountain Has your question been resolved?

untold mountain
#

<@&286206848099549185> ^

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nocturne pulsar
#

help please: Prove that the sum of the diameters of the incircle and the circumcircle of a right triangle is equal to the sum of the legs. I made a diagram, but could not solve it

nocturne pulsar
#

<@&286206848099549185>

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#

@nocturne pulsar Has your question been resolved?

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@nocturne pulsar Has your question been resolved?

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spring yacht
obtuse pebbleBOT
deft fable
spring yacht
#

Like how the semicircles are in the squares

deft fable
#

yh so that big one is 10 squares

#

nvm 8

#

nvm 10

#

then use the area of the circle equation

obtuse pebbleBOT
#

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brisk arrow
#

r and w are vectors

obtuse pebbleBOT
brisk arrow
#

r dot w could be considered as the projection of w on r’s span or the projection of r on w’s span

#

Right

#

And the value of the dot product would be the parallelogram that form by r and w

#

**Dot product could be negative right? **

brisk arrow
brave bramble
#

Dot product itself isn't a projection. It's pretty closely related to projections!

brisk arrow
#

Sorry

brave bramble
#

r•w = |r||w|cosθ

brisk arrow
#

Yes

brisk arrow
brave bramble
#

Or, it's the sum of the components, each multiplied together

brave bramble
brisk arrow
#

Can it be negative

brave bramble
#

Yes, if cosθ is negative

#

That is, if there's more than 90 degrees between the vectors

brisk arrow
brave bramble
#

I personally think of the dot product as "how well the vectors line up"

#

The dot product is large when the vectors are aligned, and large.

The dot product is small when the vectors are perpendicular, or small.

The dot product is negative, if the vectors are pointing in opposite directions

brisk arrow
#

Terrific

obtuse pebbleBOT
#

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dim ocean
#

Can someone explain to me how I can show if a set of polynomials is linearly dependent, I know how to do a set of 3 polynomials but I dont understand how to do it with 5 since you can get an augmented matrix with 3.

With the particular question I am working on I have 5 polynomials to the 3rd degree, meaning x^3, I have collected all the like terms but it just seems to be a 4x5 matrix which I don't understand how to solve. am I even doing it correctly with a 4x5?

narrow vault
#

do basically the same thing, perform row reduction and show one of the polynomials get reduced to 0 -> it's a linear combination of other polynomials

#

well if you're doing it as 4x5 i guess column reduction, but same thing

dim ocean
#

so you can do it the same as a common 3x3?

narrow vault
#

yes
the whole point is the techniques works for any collection of vectors (or in your case polynomials) of any size

so arbitrary nxk matrix

dim ocean
#

thanks a lot

#

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lime magnet
#

Im having a hard time proving this, could someone help me out?

lime magnet
#

I found this page, but I dont understand:

#

and here is the book's thm proof for a similar problem

obtuse pebbleBOT
#

@lime magnet Has your question been resolved?

lime magnet
#

<@&286206848099549185>

upbeat plinth
lime magnet
#

I got it actually! was just confused about how it applies to the inductive case later on but I see it now

#

.close

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solid hare
#

can someone help

obtuse pebbleBOT
pliant tide
#

😂

solid hare
#

help

pliant tide
#

what u tryna find

solid hare
pliant tide
#

i dont even know what im looking at

#

where is ur y angle

solid hare
pliant tide
#

no but where is it on the diagram

solid hare
warped notch
#

since its supplimentry its gonna equal 180

#

you have other angles to your disposal

solid hare
#

💀

warped notch
#

this is a weird question

#

wouldnt y be 68

#

and x be

#

112

#

is that what its asking

pliant tide
#

💀

warped notch
#

i am not gonna freakin help if i cant figure it out

hollow solstice
#

Is it like QR is 68 on centre and is asking y= Q T R , T being poi ?

solid hare
warped notch
#

again thats suppimentry

#

now it gives you 128

#

which i think personally might be m angle 2

#

1

#

1 i meant

obtuse pebbleBOT
#

@solid hare Has your question been resolved?

obtuse pebbleBOT
#

@solid hare Has your question been resolved?

obtuse pebbleBOT
#

@solid hare Has your question been resolved?

obtuse pebbleBOT
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wispy acorn
#

how do I solve the third question

obtuse pebbleBOT
wispy acorn
#

got the answers for the mew + 2 sigma

#

and the mew - 2 sigma

#

how do I caculate

#

and please quick

#

its due midnight

latent walrus
#

from my perspective you have a solid 13 hours then, no need to worry

latent walrus
#

if youve done what you said, then you have everything you need

wispy acorn
#

its in 11 minutes

latent walrus
wispy acorn
#

like how do I enter them as "Enter answer as an interval using square-brackets only with whole numbers."

#

@latent walrus

latent walrus
#

what values do you actually have

drifting roost
#

Minimum usual value: mu - 2sigma

Maximum usual value: mu + 2sigma

#

You already have the values for mu and sigma (assuming they're right)

wispy acorn
latent walrus
#

part of me says round them to nearest whole number

other part says round them to the nearest whole number within the bounds they set

obtuse pebbleBOT
#

@wispy acorn Has your question been resolved?

wispy acorn
#

had to contact my professor late at night

#

thank god he's chill

#

and extended it for me

#

<@&286206848099549185>

inner jolt
#

can I help you?

thorny stag
#

ya

#

wht is ur question

wispy acorn
#

I have the answers caculated from mew - 2 sigma and mew + 2 sigma

#

also @inner jolt

latent walrus
wispy acorn
#

I know rounding to other decimal places

latent walrus
#

I mean, its an integer

wispy acorn
latent walrus
#

Could be 183 since 182 isnt inside the bounds, thats up to your own judgement

wispy acorn
#

Referring to the rule of thumb

obtuse pebbleBOT
#

@wispy acorn Has your question been resolved?

wispy acorn
#

.close

obtuse pebbleBOT
#
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obtuse pebbleBOT
#
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leaden locust
#

How do I solve these 2 please provide full working out

obtuse pebbleBOT
leaden locust
#

i do not know how to solve these questions and need help

fathom flicker
#

What have you tried?

leaden locust
#

dont know where to strt

obtuse pebbleBOT
#

@leaden locust Has your question been resolved?

obtuse pebbleBOT
#
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#
Available help channel!

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Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
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cyan thicket
obtuse pebbleBOT
cyan thicket
#

<@&286206848099549185>

crisp abyss
#

Yeh

cyan thicket
#

its my last question i need help

crisp abyss
#

Tell

cyan thicket
#

it

crisp abyss
cyan thicket
crisp abyss
#

@helper I need help 😞

#

💀💀

cyan thicket
#

<@&286206848099549185>

cyan thicket
crisp abyss
#

Ur 7th class right ?

cyan thicket
#

grade yes

crisp abyss
#

Damn me too

civic socket
obtuse pebbleBOT
# cyan thicket <@&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.

crisp abyss
#

I have finished my exam so I don't know noe

cyan thicket
#

😭

#

ihave 1 day left

crisp abyss
#

Check on yt all solutions are there

cyan thicket
#

the thing is not allowd

#

teach said

inner jolt
#

2331000

#

$

cyan thicket
signal tendon
#

Explain the process

cyan thicket
cyan thicket
inner jolt
#

what?

signal tendon
#

You can't just give answers

#

You gotta guide them through the answer Nick

cyan thicket
#

calculating a 10 perecnt dicount

#

means following thing:

inner jolt
#

2590000*0.9=2331000

cyan thicket
inner jolt
#

so... what is answer?

cyan thicket
#

@signal tendon

#

this was the example

signal tendon
#

...

#

That's literally what Nick did though

inner jolt
#

what? my answer is true

cyan thicket
#

how to solve my question

signal tendon
#

Wait. It says "Enter your next step here"

cyan thicket
signal tendon
#

Is it asking for you put in an equation and not the value?

cyan thicket
signal tendon
#

Try typing 2590000 - 259000

inner jolt
#

yeah

cyan thicket
#

no like 1 plus 1 + 2 like 2

signal tendon
#

?

#

Huh

cyan thicket
#

this is australia

#

so wording is different

#

enter ur next step meaning whats the answer

signal tendon
#

Question, have you put in what I've said though

#

Also, is there an online link to this

cyan thicket
#

this it the link

signal tendon
#

I don't have a class 💀

cyan thicket
#

ill give me user aand password in dms

#

is that fine?

signal tendon
#

That sounds like a terrible move. No

cyan thicket
signal tendon
#

@inner jolt Your answer should be right. I don't see why it's wrong

cyan thicket
#

I ALR TRIED NICKS

signal tendon
#

Try 2590000 * 9/10

cyan thicket
#

@signal tendon my frickin question changed

signal tendon
#

So it worked

#

?

cyan thicket
signal tendon
#

It's literally the same thing

cyan thicket
#

im in the worst math class

signal tendon
#

It's

#

literally

#

the same as the previous one

#

Not even the percentage changed

cyan thicket
signal tendon
#

...

#

You've gotta be kidding me

cyan thicket
#

thats what im thinking

signal tendon
#

Plug in the values man

cyan thicket
#

i have -100iq

#

fr

signal tendon
#

I think you're just not reading the question

cyan thicket
#

i need to go to the bathroom and i cant leave without finishing this

signal tendon
#

I can't do that.

cyan thicket
#

no wonder why this server is bad

#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @cyan thicket

Use .reopen if this was a mistake.

civic socket
obtuse pebbleBOT
cyan thicket
civic socket
#

lmao

cyan thicket
#

im leaving this goofy shitty server

#

fuck u guys

signal tendon
#

Make sure you learn percentages on your way out

civic socket
#

bud go upset

cyan thicket
cyan thicket
civic socket
cyan thicket
cyan thicket
balmy mortar
obtuse pebbleBOT
#
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After 15 minutes, feel free to ping <@&286206848099549185>.
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timid silo
#

Blud rly called mods

obtuse pebbleBOT
#

@timid silo Has your question been resolved?

obtuse pebbleBOT
#
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Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
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half urchin
#

hii can someone please explain how this question works?

half urchin
#

i dont understand the question 😭

#

answer

#

**

wraith solstice
#

I think its just finding the value of it

#

like this

half urchin
#

we cant use calculators for it thoo so idkk

wraith solstice
#

then i have no idea sorry😭

half urchin
#

HAHAH its okayy 😭

#

thanks for trying thoo

glossy yew
#

Have you looked at your study materials/books/references?

half urchin
#

yeahh but our teacher hasnt taught us anything like this

#

so

#

im not sure why its in our worksheet

glossy yew
#

Let me see if I can find a relevant Khan Academy video

half urchin
#

okayy trhank youu

glossy yew
#

I cannot seem to find anything on KA, so I'll have to look up for some other reference

half urchin
#

ahh okayyy

#

thank u smm

glossy yew
#

If you have specific questions from this, feel free to follow up

half urchin
#

hmm

#

im sorry but i still dont think i understand it 😭

glossy yew
#

This will take some time and practice, I don't think this is something you're supposed to get instantly

half urchin
#

hmm okkayy

#

ill just have to ask my teacher about it tomorrow i guesss

#

thank you guyss though

#

🫶

#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @half urchin

Use .reopen if this was a mistake.

obtuse pebbleBOT
#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
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muted ember
#

Hello, does anyone know how to solve this trigonometric equation?

muted ember
#

According to the book this is the solution

pastel wren
muted ember
muted ember
obtuse pebbleBOT
#

@muted ember Has your question been resolved?

muted ember
#

?

obtuse pebbleBOT
#

@muted ember Has your question been resolved?

obtuse pebbleBOT
#

@muted ember Has your question been resolved?

muted ember
#

It occurred to me to find the range of the left side of the equation and the right side and then intersect them and see what comes out. Can you help me find the range of f(x)? I don't really know how to get it.

#

sen is sin

#

<@&286206848099549185>

royal pawn
#

or maybe it works ?

#

yeh maybe it does

#

lemme test it

#

its like very hard to find the range of f

#

yeh i died

#

i couldnt

#

lemme think

#

nope it doesnt have a finite range

muted ember
royal pawn
#

bro how does it have a very simple answer

#

we are missing sth

muted ember
#

I didn't imagine it would be so difficult

#

yesterday I was graphing and saw that both functions intersect with 17/2

royal pawn
#

wait lemme see

#

oh wait

#

yeh but its not enough

muted ember
#

equating both functions to 17/2 gives the values of x and y

#

but I don't know why

#

xd

royal pawn
#

like to solve equation using inequality we need sth like this in their range :
a <= 1
b >= 1

royal pawn
#

WAIT THEY ACTUALLY HAVE

muted ember
#

then?

royal pawn
#

f(x) range is literally

#

25/2 <= f(x)

#

and g(x) range is <= 25/2

#

but the problem is

#

finding f(x) range 💀

muted ember
royal pawn
#

no contiguous

#

so basically if a = b

#

and we want to solve it if a >= x and b <= x then answer will occour at a = b = x

muted ember
royal pawn
#

graphed it 💀

muted ember
royal pawn
#

yeh

#

yeh you subtracted 4

#

your f(x) and mine are different

#

i didnt change the original equation

#

i was talking according to that

#

brb

#

1h

muted ember
muted ember
royal pawn
#

yeh solved it

muted ember
royal pawn
#

proved that its range is >= 25/2

#

my friend helped me in this 💀

muted ember
royal pawn
#

its a trivial thing :
(a-b)^2 >= 0

muted ember
royal pawn
#

there are some inequalities that can help us find ranges easier

royal pawn
muted ember
royal pawn
#

you shouldnt do this

#

that was the whole point of defining a and b

#

you should avoid extra calculations

#

and follow along that trivial

#

sorry imma go

muted ember
obtuse pebbleBOT
#

@muted ember Has your question been resolved?

muted ember
#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @muted ember

Use .reopen if this was a mistake.

obtuse pebbleBOT
#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
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After 15 minutes, feel free to ping <@&286206848099549185>.
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vagrant kite
obtuse pebbleBOT
vagrant kite
#

How do I do the square root of 2 to the power of 4?

civic socket
#

think about it like this $(\sqrt{2}) \times (\sqrt{2}) \times (\sqrt{2}) \times (\sqrt{2})$

warm shaleBOT
#

アキラ (>_<)

vagrant kite
#

Oh ok thanks I get it now

civic socket
#

np

vagrant kite
#

thumb 👍

#

.close

obtuse pebbleBOT
#
Channel closed

Closed by @vagrant kite

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
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honest forum
#

Prove that if a number q can be expressed as the sum of two integer squares, then so can 2q and 5q.

honest forum
#

Assuming that q = n^2 + k^2, where n and k are integers

#

We have that 2q = 2n^2 + 2k^2

#

Or, we have that q = (n-k)^2 + 2nk

#

and 2q = 2(n-k)^2 + 4nk

#

But I don't know how to show that 2(n-k)^2 is a perfect square

#

(if it even is one)

brave bramble
#

It's never one, as you're taking a perfect square, then adding 2 as a factor

honest forum
#

hmm, you are right