#help-36

1 messages · Page 14 of 1

soft zealotBOT
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Zabesy

pseudo karma
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aah nvm I found that it's actually the differential operator.

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fierce ridge
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the answrs wrong idk what i did wrong

final saddleBOT
fierce ridge
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wait nvm

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i found my mistake mb

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chrome phoenix
#

70% of the vehicles driving on a street are cars, 30% are buses. the probability of parking for a car is 0.1, for a bus 0.2. what is the probability that a vehicle taken at random will stop?

chrome phoenix
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coarse knoll
#

hello, I'm in statistics, and I was wondering if there's a way to calculate the area from a z-score without the z-score chart

crisp plover
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You're essentially using a calculator, or you're not getting the values in any practical way

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@coarse knoll Has your question been resolved?

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remote steeple
#

is the equivalence class of x equal to the equivalence class of y if x and y are equivalent?

[x] = [y] if x~y

exotic hill
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crimson magnet
final saddleBOT
crimson magnet
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how ive tried to prove it is by drawing matrix A and B and adding them together

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I don’t think this is a sufficient proof though

desert mantle
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fine enough I would say

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using more symbols just complicates the proof for no gain

crisp plover
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If you wanted to make it more formal you would just convert your picture to notation

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You would say something like, A is diagonal so aij =0 whenever i !=j, B is diagonal so bij = 0 whenever i != j and then compute (A+B)ij = aij + bij

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@crimson magnet Has your question been resolved?

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hushed wagon
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There is any proof that

final saddleBOT
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Please don't occupy multiple help channels.

hushed wagon
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“g” is an harmonic function

final saddleBOT
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@hushed wagon Has your question been resolved?

grim nebula
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just divergence theorem no?

hushed wagon
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Idk how to apply it

grim nebula
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is the line in 3d or 2d

hushed wagon
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the question don't tell it

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Those pictures are the information I got

grim nebula
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i mean it gets a bit hairy to do in 3d

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but in 2d

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say you let f = grad g

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and then n ds = (-dy, dx)

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if you expand out f . n ds you get like

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-f1 dy + f2 dx

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and you can apply greens theorem on that

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then laplacian of g = 0 means div f = 0

hushed wagon
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Could you draw it ? Still a little bit confusing to me

final saddleBOT
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@hushed wagon Has your question been resolved?

final saddleBOT
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@hushed wagon Has your question been resolved?

hushed wagon
#

guys 😭😭😭

final saddleBOT
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@hushed wagon Has your question been resolved?

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weak crystal
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can someone help

final saddleBOT
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@weak crystal Has your question been resolved?

solemn sage
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Do you know what it means if two quantities vary directly as each other / are proportional?

weak crystal
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Nvm i got help on this one

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ripe gull
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Can someone help me with this problem

final saddleBOT
ripe gull
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For the equation x^2/x^2-16

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  1. Find the critical numbers
  2. Find all the relative extremas
  3. On the open intervals, list the domain of the function where it’s increasing and decreasing
stoic mural
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that is not an equation

ripe gull
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f(x)=

stoic mural
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you mean
x^2/(x^2-16)=0 ?

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ah ok

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got it

ripe gull
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This was on my quiz

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So I’m wondering what I did wrong

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Derivative is this is -32x/(x^2-16)^2

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Then there are discontinuity’s at x=+-4

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And critical number at x=0

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The discontinuity can’t be critical numbers cause if you plug them into the original equation they will be undefined

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Then I drew a number line

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Lemme draw one really quick

stoic mural
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ok, wikipedia says a critical point is a point at which f' is not defined or at which f'=0

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is that the definition you use?

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or only the undefined part

ripe gull
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Yes

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F’ is 0 at x=0

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But someone has told me that it’s not a critical point even though it’s not defined

final tangle
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why do you think you did something wrong

ripe gull
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If you plug it into the original equation

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And it’s indefinded

ripe gull
final tangle
ripe gull
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Cause I got 7/10

crisp plover
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A critical point typically needs to be in the domain of the original function itself. That is an easy part of definition to miss.

final tangle
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was that 7/10 just for part 1)

ripe gull
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5 each

ripe gull
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That’s something I don’t really know how to do either

final tangle
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can you take a pic of your work

ripe gull
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Uhhh

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Well I saw my score online so I don’t have the paper with me

final tangle
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,W graph y = x^2/(x^2-16) from -10 to 10

ripe gull
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Damn

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I don’t. Have a graphing calculator

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So idk@how to find the domains

final tangle
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well you could first consider the asymptotes

ripe gull
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Yea asymptotes at x=4,-4

final tangle
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horizontal asymptotes as well

ripe gull
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So ig I know one domain is (-inf,-4)

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And another (4,inf)

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Uhh

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We just finding x value domains

final tangle
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it's mainly to give you a better idea of how the graph will look

ripe gull
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Oh ok

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Idk how to find the horizontal aysumptores

final tangle
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if you did the work in part 2, you should've been able to determine that the would be a local max at the critical location in part 1)

ripe gull
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Uhhh

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So how I did my work

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Is using the first derivative test theorem

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Our teacher used a number line for this

final tangle
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that's fine too I suppose

ripe gull
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Let me show u

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But I don’t understand really much

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My friends got different number lines

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U put numbers at each interval

final tangle
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anyway the local max tells you that the function would be increasing on (-4,0) and the decrease again after that, (0,4)
as seen on that graph

ripe gull
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What’s the difference between local relative absolute max/min?

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Absolute is the highest/lowest right

ripe gull
final tangle
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you should be able to deduce it from what you determined in part 2)
any it'd help you a lot to look up graphing rational functions

ripe gull
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I have done that last year and they are kind of the similar difficulty in understanding as these extremas and critical numbers

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Actually they r harder than this

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Hmmmm I kind of see it now

ripe gull
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So they both curve up

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Which means in between the asymptotes it’s the domain (-4,4)

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And since the lines on (-inf,-4) (4,inf) curve up, the line in between that should be curving down

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I don’t think horizontal asymptotes really matter in this situation

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And also there is a critical number at x=0

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I’m assuming that itself counts as sort of an asymptote

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Which means that there’s no way to make the left side (-4,0) decrease if you draw an upside down curve so it’s increase and since it’s curving the other side too at (0,4), it is decreasing

final saddleBOT
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@ripe gull Has your question been resolved?

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frail badger
#

how do i get the percentage of a number? give me the easiest formula

brazen sentinel
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value/total value)×100%

frail badger
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ok so if i want to get 20% of 70 its 20/70*100?

wraith crater
brazen sentinel
brazen sentinel
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and remember
10% you move the decimal one place

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1 % you move the decimal 2 places

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5% is half of 10%

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and with that you can find anything

frail badger
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it gave me different results

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i did 20/70 *100 and it gave me 28

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i did 20% of 70 and it gave me 14

brazen sentinel
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ok well 20% of 70 is 10% twice

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so 7 x2

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so 20% of 70 is 14-70

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ok well 20% of 70 is 14

frail badger
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what if i need to find the percentage of something?

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like i have 50 and i have the number 238

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50 is how much % of 238?

final saddleBOT
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@frail badger Has your question been resolved?

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astral rose
#

how to intergrate \int \frac{3}{:\sqrt{x}} ?

astral rose
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I split it to get 3 x 1/root x

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then made the 1/root x into x^1/2

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then i times 3 by the x^1/2

trail mango
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1/root x into x^1/2?

astral rose
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yep

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wait is it supposed to be x^1/3

trail mango
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nono

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but

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it shouldn't be x^(1/2)

astral rose
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oh why's that

trail mango
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well sqrt(x) = x^(1/2)

astral rose
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is it supposed to be negative

trail mango
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yep haha

astral rose
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ahhhhhhhhhh i get it now

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thx!

trail mango
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np ^-^

astral rose
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worn blaze
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hey I need help

grim nebula
worn blaze
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Trying to study this more because I dont know much ):

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@grim nebula ?

grim nebula
worn blaze
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.reopen

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#goat

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sleek flicker
#

Hey, I'm asked to sketch the region of non zero probability of a pdf exp(-(x+y)) defined on x,y greater than or equal to 0

sleek flicker
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Is this sketch essentially the area enclosed between the curves exp(-x) and exp(-y) in the first quadrant

dusty harbor
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sounds like it

sleek flicker
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Perfect thanks

dusty harbor
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wait is this multivariable?

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is this a 2 dimensional exponential distribution

grim nebula
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the area enclosed between the curves exp(-x) and exp(-y)?

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that sounds awfully suspicious

dusty harbor
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is this your distribution?

sleek flicker
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This is multivariable yes

grim nebula
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what do you mean by

the area enclosed between the curves exp(-x) and exp(-y)

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the distribution assigns probability to all of x,y>0

sleek flicker
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So it's the entire first quadrant?

grim nebula
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that is where the density is positive

sleek flicker
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So it's not so much about the pdf itself it's more so down to the given conditions for x and y?

grim nebula
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well no its where the density is nonzero

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like

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you could have

soft zealotBOT
grim nebula
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and then you just need to pick when its nonzero

sleek flicker
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Okay okay thats making much more sense now

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Okay so it's the entire first quadrant including the x and y axes then

grim nebula
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whether the axes are included is kinda weird

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you can do whatever ig

sleek flicker
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Okay got it

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Thanks so much for your help

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snow prawn
#

Hi!, what is the percentual decrease in 160 000 · 0,95^x, and how do you calculate it

mint orbit
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wow thats a new word for me

tired walrus
#

gonna need to see the problem statement

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"percentual decrease in 160000 * 0.95^x" is vague

snow prawn
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well, lets say 160000 is a price of a car, and it loses its value every year

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x stands for number of years

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0.95 is how much it depreciates

tired walrus
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so you want to find the percentage by which the price goes down every year?

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that's 1 - 0.95, i.e. 5%

snow prawn
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uhh i dont really understand

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oh wait no i see

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thank you

#

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full birch
#

does anyone have an outstanding link for understanding Big O notation regarding formulas?

full birch
#

I'm having a difficult time understanding "Show that n^2 + 1 is O(n^2)"

grim robin
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Isn’t it 1/n= O

full birch
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the answer?

grim robin
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Yeah

full birch
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according to my teacher's explanation, the answer is:

grim robin
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Is?

full birch
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Let c = 2, k = 1. Assume n > 1.
Then, cn^2 = 2n^2 = n^2 + n^2 > n^2 + 1, or n^2 + 1 < cn^2.

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But I want to know why

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I don't understand this at all

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so, I'd like to break this down as if you are explaining things to an average 5th grader

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not the super bright ones on TV

grim robin
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How is that the answer

full birch
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ah, you're not good at Big O also?

grim robin
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Yeah I’m just looking around

full birch
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we can wait until someone proficient comes along

grim robin
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Yeah. What is big O

grim robin
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Oh it’s a program very cool

full birch
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it's not a program

grim robin
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Is it functions

full birch
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let's just await a proficient user and then, hopefully it will be more clear

grim robin
full birch
#

please post in a different channel since I'm waiting for assistance in this specific channel

grim robin
#

Ok

full birch
#

<@&286206848099549185>

sturdy cypress
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the goal is to show that you can choose some c and some minimal n, and then cn^2 is always more than n^2 + 1
they do it by choosing c = 2 and n > 1, I don;t know what they meant by k

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it's the goal because it's the definition

full birch
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k is somewhat explained here:

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but let's back up a bit

sturdy cypress
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right, so k is the minimal n

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they just said it twice in a row

full birch
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so, I know what Big O is in a nutshell

sturdy cypress
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ok

full birch
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it's a way to obtain an approximation of the speed of an algorithm

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and how it scales

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depending on input

sturdy cypress
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it's actually more like the upper bound

full birch
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wait

sturdy cypress
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it's not that you;re saying that it's roughly cn^2, but that it's less

full birch
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before we get to technical terms, i'd like to keep things VERY simple

sturdy cypress
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so any O(n^2) is also O(n^888)

full birch
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"upper bound" is too technical currently

sturdy cypress
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because it's less than n^888 too

full birch
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if it's ok, let's start slowly

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i've tried discussing this with five math enthusiasts so far and all the explanations have been far too technical

sturdy cypress
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i already dumped the entirety of what I know, I'm kinda finished

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good luck

full birch
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well, i'll await another proficient user

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hopefully

grim robin
#

Some hard math there

final saddleBOT
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@full birch Has your question been resolved?

full birch
#

<@&286206848099549185>

final saddleBOT
#

@full birch Has your question been resolved?

muted prairie
#

O(n^2) means smaller than some n^2 function

vestal yacht
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so basically, to sort something u got an algorithm

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and algorithm works in different speed

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big O notation basically means the speed of growth per term of that algorithm is bounded by some other function

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so lets say you inputted n and it took p amount of work to compute

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if you input n+1 and it takes np amount of work to compute

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it grows in the speed of (n-1)!

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so O(n!) is the upper bound of the growing speed

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as if my understanding

muted prairie
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hmm so

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you could say O((n-1)!) as well I believe

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it would be O(n!) as well

final saddleBOT
#

@full birch Has your question been resolved?

full birch
#

hmm, thank you

#

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tranquil pine
#

how do i find order of $SL_2(\mbb{F}_p)$

final saddleBOT
soft zealotBOT
tranquil pine
#

in the first answer, i don't get how every matrix with determinant can be mapped to a matrix with det 1

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ping please

final saddleBOT
#

@tranquil pine Has your question been resolved?

coarse yacht
soft zealotBOT
#

black_couscous

final saddleBOT
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@tranquil pine Has your question been resolved?

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lime sand
#

lets suppose we have 2 vectors a and b how would you go on about writing the perpendicular component of a on b?(in terms of a and b)

dusty harbor
#

sounds like you need a dot product

lime sand
#

dot product?

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i mean i guess that would help if im trynna find vector along b

void crest
#

wdym

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oh

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projection

lime sand
#

something like that

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i can write the magnitude of the vector

void crest
lime sand
#

but how idk how to write the unit vector

void crest
#

well

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its

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v/|v|

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thats the unit vector

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the vector/magnitude

lime sand
#

but i want a vector perpendicular to that

lime sand
#

yepp

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lemme refer to that

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alright tysm

#

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solar hare
#

Hi, can someone help me understand why these 2 integral calculators are giving me two different answers for the same integrals ?

The first one showed me the steps, and they make sense, but the second one doesn't let me see them unless I have a premium subscription. Thus I'm confused how the second one added an extra -2/3 to it

wraith crater
#

Different ‘C’

#

Constant from the first one = Constant from the second -2/3

solar hare
#

Why did the second one feel the need to separate the -2/3 though ? That's the first time Symbolab does something weird like that in my experience

wraith crater
#

It decided to use the identity sec^2(x) = 1+tan^(x) and integrate them individually instead of directly integrating sec^2(x)

#

As to why I don’t know

solar hare
#

Alright, well thanks for clearing that up. I was going mad on that one x)

wraith crater
solar hare
#

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tranquil pine
final saddleBOT
tranquil pine
#

is this correct

#

i selected the choices with all unique x values

dusty harbor
#

yeah looks about right

tranquil pine
#

ty

#

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tranquil pine
#

.reopen

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#

tranquil pine
#

ok to find this out i have to do

#

answer 12?

#

i did x=4 and got g(x) =2

#

then i went x=2 then got f(x)=12

wraith crater
#

Ye

tranquil pine
#

ok ty

#

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final saddleBOT
tranquil pine
#

can you provide a mwe and screenshots?

buoyant linden
#

as you can see it starts to duplicate after the chunk

#

<@&286206848099549185>

#

It was not the chunk i deleted it and the problem stayed

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brisk pike
#

why can't I plot a function like f(x)=(-2)^x

final saddleBOT
rain crane
#

,w plot (-2)^x

hushed sonnet
#

I mean. You technically can but there will be a bunch of points where it is imaginary

wraith crater
#

What’s (-2)^1/2 say

brisk pike
#

if i try doing it on maple or some other program it just doesnt show anything

brisk pike
#

ohhh thats why

#

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carmine plaza
final saddleBOT
carmine plaza
#

I just need help finding b or the vertical axis

#

i think my answer is right but i just want to check

final saddleBOT
#

@carmine plaza Has your question been resolved?

carmine plaza
#

It's correct but it'd be nice to get it explained

#

I don't quite understand the eccentricity

celest crane
#

The formula for eccentricity is e = c/a.

#

And another formula for a, b, and c is b^2 = a^2 - c^2.

#

You use substitution for a and c for eccentricity to allow you to solve for b in the second equation.

#

$e = \frac{c}{a} = \frac{3}{5}\\
b^{2} = 5^{2} - 3^{2}$

soft zealotBOT
#

Kookiemon

celest crane
#

a will be your major axis and b will be your minor axis.

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true thunder
#

Im given a centre of a circumference C(-3, 1) and asked to find the equation of the circumference with that centre and to the line 4x +3y +4 = 0

true thunder
#

At the moment I have only put the line equation in explicit form (y = -4/3 x - 4/3)

#

I don't know the rest

celest crane
#

Do you know how to calculate the distance from a line to a point not on the line?

true thunder
#

Yea

celest crane
#

That will be your radius for the circle.

true thunder
#

d = | Axp + Byp + c | / sqrt(A^2 + B^2)

true thunder
#

I don't know the radius though

celest crane
#

d will be the radius.

true thunder
#

Yes

#

But then?

#

I don't have the equation of the circumference

celest crane
#

(x-h)^2 + (y-k)^2 = r^2

true thunder
#

Oh shoot

#

I understand

#

(x - Xc)^2 + (y - Yc)^2 = d^2

#

?

celest crane
#

Are you calculating the length of the circumference or the equation of the circle?

true thunder
#

equation

celest crane
#

Then use the formula you wrote.

true thunder
#

Ok

#

Thx

#

Lemme do the calculus real quick

#

Ok it comes out

#

Thanks a lot man, you are a life saver!

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true thunder
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.reopen

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true thunder
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final saddleBOT
#

@ripe sonnet Has your question been resolved?

final saddleBOT
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@ripe sonnet Has your question been resolved?

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@ripe sonnet Has your question been resolved?

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@ripe sonnet Has your question been resolved?

vital crag
#

Draw the right triangle with opposite length h and adjacent side R-r

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tranquil pine
#

Hey there, what is the formula for finding the area of a sector of a circle, given the diameter and angle in radians?

tranquil pine
#

or rather, is the formula: (1/2) * r^2 * theta

sacred parcel
#

yes

tranquil pine
#

okay, thank you

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restive furnace
#

Idk if im right or wrong, i did the equation twice but i still think its wrong

restive furnace
#

😢

#

👍

#

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shrewd glacier
#

Ok so I'm trying to figure out how to find the value of x in an ordered pair so that two lines are parallel or perpendicular. The way my math teacher explained it was really convoluted. The specific problems I'm working on are "Given C(x, 16), D(2, -4), E(-6, 14), and F(-2, 4), find the value of x so that CD and EF are parallel" and "Given P(12, -2), Q(5, -10), R(-4, 10), and S(4, y), find the value of y so that PQ is perpendicular to RS

trim summit
#

ok so

#

the formula for slope is

shrewd glacier
#

Yes I knew that

trim summit
#

the slope of CD is
(x-2)/(16-(-4))
.

#

the slope of EF is
(-6-(-2))/(14-4)
.

#

since slope of CD and EF are the same

#

we can set up an equation:
(x-2)/(16-(-4)) = (-6-(-2))/(14-4)
.

#

now we just have to solve for x

#

then u get the answer

#

for the second question
since they are perpendicular
MPQ x MRS = -1

try to set up an equation and solve for y

shrewd glacier
#

Wait so if x2-x1 is negative, does that make the slope negative?

final saddleBOT
#

@shrewd glacier Has your question been resolved?

shrewd glacier
#

No

trim summit
#

if both y2 - y1 and x2 - x1 is negative then the slope can be positive

shrewd glacier
#

Got it

trim summit
#

cool

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#

@shrewd glacier Has your question been resolved?

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gentle spear
#

What’s the difference between these two fractions?

gentle spear
#

One has the subtract sign beside the line and one has it beside both numbers

#

What’s the difference

tired walrus
#

that's a minus sign, not a subtract sign

#

$\frac{-52}{-8}$ means you divide $-52$ by $-8$, while $-\frac{130}{20}$ means you divide 130 by 20 and take the negative of the result

#

...bot's slow today

gentle spear
#

But like simplifying it

#

Not dividing it by the bottom number

tired walrus
#

you sounded like you were asking for the difference in meaning between these two fractions

gentle spear
#

Oh

#

sorry

tired walrus
#

as far as simplification goes, in (-52)/(-8) you can "cancel out" the minuses (which really are just multiplications by -1 and should be thought of as such) and get 52/8

gentle spear
#

I got -13/-2 for that

#

Is that right

tired walrus
#

no

gentle spear
#

Darn

#

I meant -13/-2 if that changes anything

tired walrus
#

-13/-2 is correct simplification but incomplete

#

and yes it changes everything

#

my point about cancelling out the multiplications by -1 still stands.

gentle spear
#

Ok

#

Now about the one with the minus song

#

Sign in the middle

#

I got 13/1

tired walrus
#

13/1?

gentle spear
#

But also with the minus sign

#

Is that right

tired walrus
#

you sure you didn't typo that

gentle spear
#

Yes

#

13/1

tired walrus
#

so you definitely absolutely got 13/1 and not 13/2 as one would expect you to get

gentle spear
#

Oh wait

#

whoops

tired walrus
#

that's why i asked...

#

anyway

#

you can just not touch that minus sign

gentle spear
#

Ok that helps thank you

#

.close

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gentle spear
final saddleBOT
gentle spear
#

How do I multiply this? Do I treat it like both numbers are negative for the second fraction or do I make the negative positive and the positive negative or something else entirely?

dire hedge
gentle spear
#

What about the top number

#

Does that become negative

dire hedge
gentle spear
dire hedge
#

its like how 2/1 is one number

#

so is 1/2

gentle spear
#

What

#

What happens to the bottom and top number

dire hedge
#

2/4 is one number

#

think about it like - (-0.5)

#

= +(0.5)

gentle spear
#

But the bottom number is already negative and the top isn’t

dire hedge
#

it doesnt matter which number is negative

#

-1/2 = 1/-2 = -(1/2)

gentle spear
#

So it just both becomes positive?

dire hedge
#

yeah

#

i think itll help you to think of it as one number

#

its either positive or negative

#

they arent two different numbers

gentle spear
#

Ok

#

Thank you

#

.close

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elfin escarp
#

Can someone pls help me identify what else can be x

jovial prawn
#

dont forget you cyclical quadrilateral theroem

elfin escarp
#

What u mean?

elfin escarp
#

<@&286206848099549185> pls can someone help me

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@elfin escarp Has your question been resolved?

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tranquil pine
#
  1. Represent the following numbers as being members of set K: -2, -1, -4, -1, -3,
    -1, -5, -3.
tranquil pine
#

I'm lost..

#

..

dusty harbor
#

set k?

tranquil pine
#

yeah ig

nova agate
#

K = {-2, -4, -1, -3, -5,}

tranquil pine
#

..? how is that right.. gosh I'm lost

slate phoenix
#

the set

#

K must denote

#

distinct elements

#

via the definition fo cardinality

#

say I had the function f(x) = 2

#

and the domain was all real numbers

#

the set f(x) would just be {2}

tranquil pine
#

oh!

#

I get it

#

thx

#

.close

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frosty sedge
final saddleBOT
frosty sedge
#

need someone to check my answer

#

is it correct?

slate phoenix
#

yes your work is correct

frosty sedge
#

final answer is correct right

frosty sedge
slate phoenix
#

okay okay

#

your work is correct but I"ll run my own calculation

frosty sedge
#

kk

frosty sedge
slate phoenix
#

yeah I checked

#

so your fs is correct

#

and your dr/dt

#

is correct

#

still checking the rest lol

frosty sedge
#

kk lmk before i submit if i made a dumb mistake or smth

slate phoenix
#

okay yes your final calculation is correct

#

in your fs * dr/dt

#

wow that was one hell of a calc 3 refresher

frosty sedge
#

frr calc 3 makes my brain fucking die

#

u gotta think of like problems in a whole different ass way than calc 1

slate phoenix
#

yeah that is true

#

calc 3 is super calculating heavy

#

cal 2 is theory based

frosty sedge
#

calc 1 was super easy

slate phoenix
#

but calc 3 is pretty fun once you get into partial differential equations

frosty sedge
#

now in uni

#

i'm getting fucked

slate phoenix
#

advanced multivariable calc(math major specific course) where you prove calc 3 is hard as hell

frosty sedge
#

bc i wasn't paying attention

slate phoenix
#

I legit remember

#

fucking

frosty sedge
#

in the very beginning

slate phoenix
#

not paying attention in lecture and studying 3 all nighters in a row for an exam

frosty sedge
slate phoenix
#

and my studying was just doing practeice problems over and over and over

#

OHHHH haha

frosty sedge
#

prolly gonna take a gap semester or smth LMAOO

slate phoenix
#

engineering mathematics right?

frosty sedge
#

yeah this is math 1

slate phoenix
#

take 4 classes not 5 for shit like this

#

it's too much work load

frosty sedge
#

yeah imma take all the easy small classes

#

this semester

#

so last semester i finish math 2

#

w like easy classes

slate phoenix
#

Yeah for sure

#

your calculations are precise tho

#

and I like your organization while doing the problems

#

I think you got this just do a few more in your own time

#

to gain confidence

frosty sedge
#

yeah gotta get prepared for the final in like 6 days

#

thank u tho haha

#

i'm not that organized but i understand my work lmaoo

#

most people write all over the place in math

#

i'm kinda proud of myself

slate phoenix
#

Yeah I'm all over the place

#

even in analysis my proofs are so messy I get points off for bad handwriting

#
  • illegible solution
frosty sedge
#

yeah everybody has their strenghts and weaknesses i guess hhah

#

thank u very much for ur help tho i appreciate it @slate phoenix

#

everybody needs an extra set of eyes sometimes especially in calc 3 lmaoo

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onyx locust
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winged briar
#

35,45 = (x . 75,77 + 36,97 . 24,23) / 100

final saddleBOT
tranquil pine
#

are the " . " supposed to be * ?

#

Maybe you can take a photo

winged briar
#

yes they are

tranquil pine
#

so i translate:

#

35.45 = (75,77 * x + 36.97 * 24,23)/100 ?

#

And you want x

#

Am i correct?

winged briar
#

ye

tranquil pine
#

Alright

#

Let's multiply both side by 100 can you do it? (copy paste)

winged briar
#

yes

#

3545 = 75,77 * x + 36.97 * 24,23

tranquil pine
#

alright let's get rid of the parenthesis they're useless now

#

And we substract both side by 36.97 * 24,23

#

Then we divide both side by 75,77

winged briar
#

why cant i do 36.97 * 24,23

tranquil pine
#

Well

#

you can KEK

winged briar
#

3545 = 75,77 * x + 895.7831

tranquil pine
#

ok

#

Can you find x now or do you need more help?

winged briar
#

i need more help

tranquil pine
#

substract 895.7831 from both side

#

Then we divide both side by 75,77

#

And we found x

winged briar
#

2649.22 = 75,77 * x

#

2649.22 / 75,77 = x

tranquil pine
#

ok

#

Then we can replace x in 35,45 = (x . 75,77 + 36,97 . 24,23) / 100 to be sure

winged briar
#

34.96 ≅ x

#

ok thanks

#

this was really hard for no reason

tranquil pine
#

Alright

#

If you do it slowly it always works

winged briar
#

.close

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simple maple
#

How can I find out if a stochastic matrix is not regular? Do I have to check every power of the matrix until infinity?

final saddleBOT
#

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fleet rain
#

what is monte carlo?

final saddleBOT
fleet rain
#

in math

desert mantle
#

fancy word for generating random data for some purpose

#

for example to calculate the expected value of some distribution, you just let the computer pick a million samples and then calculate the mean of that

fleet rain
#

theres no way to calculate the ev by hand?

desert mantle
#

offer?

fleet rain
#

without a computer

desert mantle
#

well not always

#

might be too hard

#

and even if it might be possible, it's definitely faster to just code it and let the computer run for five minutes

#

(oversimplification of course but you get the idea)

fleet rain
#

ic

#

roll three dice and square the middle value roll

#

can you help me with this question?

desert mantle
#

that's not a question

final saddleBOT
#

@fleet rain Has your question been resolved?

final saddleBOT
#

@fleet rain Has your question been resolved?

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#
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#
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heavy laurel
#

This would simplify to cos(t)/sin(t) *9t/t 1/cosine(t), right?

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foggy hawk
#

how would I go about setting this problem up

final saddleBOT
foggy hawk
#

I understand L hopitals rule but I don't know how to change this to infiniti over infiniti or 0 over 0

sweet summit
#

you could try finding a common denominator. $\\frac{1}{x-2} - \frac{1}{ln(x-1)} = \frac{ln(x-1) - (x - 2)}{(x-2)(ln(x-1)}$. Then when you check for the limit it should be $\frac{0}{0}$.

soft zealotBOT
#

MellowDramaLlama

foggy hawk
#

oh ok that makes sense

#

I should have thought of that earlier

sweet summit
#

nah it's okay. Don't worry it's easy to miss stuff like that

foggy hawk
#

@sweet summit thanks man I really appreciate the help. Hopefully one day I will be smart enough to help people with questions like this 🤣

sweet summit
#

don't worry you can do these in your sleep in no time flat!

foggy hawk
#

yeah the concept is easy to me, its just the weird setups

sweet summit
#

what this is getting you prepped for is algebraic manipulation

#

that's all calculus is

#

it's algebraic manipulation on steroids

#

so you'll be happy you've gone through these lol

foggy hawk
#

I bet

#

can't wait for calc 2 and 3

#

lol

sweet summit
#

calc2 is still one of my favorite courses I've taken in my undergrad

foggy hawk
#

I have heard that calc 2 isn't as hard as calc 1

#

is that true

foggy hawk
sweet summit
#

it depends. What I"ve heard from people is that they either struggle in Calc2 or Calc3 (of course this set in stone, but seems to be a trend)

#

I found Calc3 much harder than Calc2

#

but that's just me

#

I know someone who had the opposite effect haha

foggy hawk
#

hopefully I find calc 2 easier because I am in Texas A&M engineering and you have to get a 3.75 gpa or higher in freshman year if you want to be able to choose whichever engineering major you want

sweet summit
#

oh hey we're close by

#

I'm at Texas State in San Marcos

#

here let me give you a few resources

foggy hawk
#

oh cool, good for you. Although I am not in college station. I am in a program where you go to dallas community college for all classes except my programming class (that is taught by A&M).

#

I can move to college station once I finish calc 3

#

so I am going to try and get it done over the summer

dusty harbor
#

is calc 3 with the total derivative and such?

#

jacobians etc

foggy hawk
#

I wish I was in college station cause I have a bunch of friends there but this is way cheaper and easier to get a 3.75 gpa in

sweet summit
#

This website will help you from calc 1 to calc3 and diff eq: https://tutorial.math.lamar.edu/
This YT channel will give you full lectures over what you're going over. He's a great teacher. I would watch his videos sped through outside of lecture to get another perspective on the subject material: https://www.youtube.com/watch?v=fYyARMqiaag&list=PLF797E961509B4EB5&ab_channel=ProfessorLeonard

foggy hawk
#

oh I have seen professor leonard

#

he is good

#

although personally I prefer organic chemistry tutor

sweet summit
foggy hawk
#

although professor leanord is my backup

dusty harbor
#

oh lord they just fucked the ui on youtube

foggy hawk
#

wdym

sweet summit
#

I loved my CC experience (at ACC in Austin)

dusty harbor
#

this was how it was just an hour ago

dusty harbor
#

this is how youtube looks now

foggy hawk
sweet summit
#

I think I have some Firefox settings on my end because nothing has changed lol

foggy hawk
sweet summit
foggy hawk
#

yeah in the long run I view it as more of a product that I am buying rather than an experience

#

I just want to get a well paying job that and I thought engineering was the best way to do that

#

plus engineering really appeals to me

dusty harbor
#

yeah thats important too haha

#

did you consider computer science?

sweet summit
tranquil pine
#

Yo, can someone help me on this 2 step equation word problem please?

foggy hawk
#

I know some people who are doing it just because it will make them a lot of money and I am like, "you are not going to have a fun time at all"

sweet summit
tranquil pine
#

Okay thanks

dusty harbor
#

but yeah mostly its a terrible idea i agree

#

a better idea than studying communication though

sweet summit
foggy hawk
#

preference in that order

dusty harbor
#

not a fan of programming but still wanting to major in computer engineering sounds funny lol

#

computer engineering is computer hardware pretty much right

sweet summit
#

yeah basically

#

a little programming

#

but not nearly as much as a pure CS degree

foggy hawk
#

I am a fan, but I don't want it to be the only thing I do

#

I am more interested in hardware than software

sweet summit
#

more focus on hardware design

foggy hawk
#

yeah that is exactly what I am interested in

sweet summit
#

but like as an example you're making the processors so you might need to know, for example, some assembly shudders

dusty harbor
#

lmaoo

sweet summit
#

but yeah basic understanding of data structures n whatnot is typically required

#

not hard

#

just annoying if you're not much into the programming part of it lol

foggy hawk
#

yeah assembly code sounds kind of scary

dusty harbor
#

rollercoaster tycoon was built in assembly : )

foggy hawk
#

although it is still pretty cool

#

I heard about that

sweet summit
#

that's wild

dusty harbor
#

yeah lol

foggy hawk
#

madlad dev

dusty harbor
#

but it allowed for some crazy cpu optimisations

#

so the game could render lots of stuff at once

#

and the creator made like 50 million so

#

worth it

foggy hawk
#

the definition of masochism

dusty harbor
#

hahah yeah

sweet summit
foggy hawk
#

THAT is a loop?!

#

dear god

dusty harbor
#

lol

#

i definitely want to learn assembly at some point

foggy hawk
#

I thought java was a pain in the ass bro

dusty harbor
#

i think it would really help understanding how a computer words

#

worst ive done so far is python like a true math scrub

foggy hawk
#

yeah A&M's introduction to engineering class is just python programming

#

its super easy

#

I had to write a program that converted english to pig latin today

dusty harbor
#

yup python is too easy

#

pig latin?

#

lol what

foggy hawk
#

yeah

sweet summit
#

igpay atinlay

foggy hawk
#

although it only makes you do one word

dusty harbor
#

cant you just disregard grammar and use that to translate entire sentences

foggy hawk
foggy hawk
#

I have more important things to be doing lol

dusty harbor
#

lol

foggy hawk
#

and if I do have freetime then usually it is spent playing apex legends or metal hellsinger

dusty harbor
#

fair enough

sweet summit
dusty harbor
#

not a lot of free time in engineering though haha

dusty harbor
#

ive never heard of it lol

sweet summit
#

yeah you take the first letter, put it at the end of the word, and add 'ay" to it

dusty harbor
foggy hawk
#

that is for if you have one that starts with a consanent

#

although your code is a lot more efficient than mine lol

sweet summit
#

oh right

#

lol

dusty harbor
foggy hawk
#

im still not great at python

dusty harbor
#

💀

foggy hawk
#

lol yeah

dusty harbor
#

you can use sets you know

#

or lists

foggy hawk
#

you are right

#

I should do that next time

#

this is why I am not a professional engineer 🤣

dusty harbor
#

lmao

foggy hawk
#

alright nice talking to yall I had better be getting home

sturdy cypress
#

what's that game called, with viruses

#

exapunks

final saddleBOT
#

@foggy hawk Has your question been resolved?

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heavy laurel
#

This would simplify to cos(t)/sin(t) *9t/t 1/cosine(t), right?

heavy laurel
#

Looking for clarification

#

<@&286206848099549185>

shell mountain
#

!15m

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#

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heavy laurel
#

I see on online calculator the next step would be to transform the fraction into this:

#

Intuitively this doesn't make sense to me, because I thought tan = sin/cos, here they completely disregarded the cos and substituted a 1 in it's place. Isn't it supposed to read: sin(9t)/cos/1/cos?

shell mountain
#

tan(9t) = sin(9t)/cos(9t)

#

The cos isn't disregarded, it's in the denominator

#

The denominator of the big fraction

heavy laurel
shell mountain
#

I don't know their exact reasons for doing it, but $\frac{\frac{sin(9t)}{cos(9t)}}{\frac{t}{cos(t)}}$ is identical to what they had

soft zealotBOT
#

Gamer Dio

heavy laurel
final saddleBOT
#

@heavy laurel Has your question been resolved?

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median delta
final saddleBOT
median delta
#

Need help

final saddleBOT
#

@median delta Has your question been resolved?

median delta
#

<@&286206848099549185>

final saddleBOT
#

@median delta Has your question been resolved?

mint orbit
# median delta

you should google these, theyre common proofs and probably better written elsewhere

#

image and null space

median delta
#

.close

final saddleBOT
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supple copper
final saddleBOT
supple copper
#

I solved it out and get that it's [0, 1) U (1, +inf)

#

but why isn't it **(**0, 1) U (1, +inf)?

#

isn't the derivative 0 at x=0?

#

sorry for being so particular I just don't wanna mess this up on exams lol

strange rune
#

you are right at 0 the derivative is 0

#

but now two things

#

technically a constant function is both increasing and decreasing

#

because for any a>=b

#

f(a)>=f(b)

#

just not strictly increasing

#

for the other thing,

#

your function is strictly increasing over the interval [0,1)

#

basically it has a constant part

#

if its flat on a whole interval

#

not on only isolated points

#

like for example

#

the function f(x) =x^3

#

has derivative 0 at 0

#

but its still strictly increasing on R

final saddleBOT
#

@supple copper Has your question been resolved?

supple copper
#

ohh

#

hmm

#

so basically determining where it's increasing isn't solely based on the derivative being positive?

#

i mean like

#

if the beginning point has a slope of 0, it's still part of the interval that increasing?

strange rune
#

if theres only isolated points

#

at which the derivative is 0

#

its not flat

#

at that point

#

like its not constant

#

so if its strictly increasing around

#

its strictly increasing even counting the point in

final saddleBOT
#

@supple copper Has your question been resolved?

supple copper
#

thanks

final saddleBOT
#
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final saddleBOT
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past spade
#

how do i translate this into a first order predicate formula?
"If some farmers are right-handed and some right-handed people have blue eyes, then some farmers have blue eyes"

A is the set farmers, C is the set of right handed people, D is the set of blue eyed people
P(x) is 'x is a farmer', R(x) is 'x is right handed', S(x) is 'x has blue eyes'

past spade
#

my initial guess would be: $$\exists_{x \ \in \ U}((P(x) \ \land \ R(x)) \land (R(x) \ \land \ S(x)) \implies (P(x) \land S(x)))$$

soft zealotBOT
past spade
#

but idk seems wrong and verbose

#

<@&286206848099549185>

#

ive simplified it to: $$(\exists_{x \ \in \ A}(R(x)) \land \exists_{x \ \in \ C}(S(x))) \implies \exists_{x \ \in \ A}(S(x))$$

soft zealotBOT
past spade
#

is that right ^^ ?

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@past spade Has your question been resolved?

final saddleBOT
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brisk compass
#

I need help with this related rates problem. I am not sure how to do this problem for my hw

final saddleBOT
#

@brisk compass Has your question been resolved?

polar wing
#

,rotate

soft zealotBOT
final saddleBOT
#

@brisk compass Has your question been resolved?