help-10

[balmy mortar]

nvm not when a isn't 1

[rich holly]

what

if a isn't one then they're not sum and product of roots?

[sage geode]

They are

It's just that when a = 1, x1 + x2 = -b and x1*x2 = c

Which looks simpler

[rich holly]

ah

thanks

.close

[obtuse pebble]

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[balmy mortar]

huh they are? need to brush up ig

nvm nvm

[obtuse pebble]

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[rich holly]

why are they called roots?

[rich holly]

what's "roots" about them?

there's no √

[balmy mortar]

we have square root

cube root

, etc

We also have function root

[rich holly]

oh wait they're only called roots not square roots

everytime "root" was mentioned I only thought of √

that was confusing

thanks

.close

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[keen badger]

Let the length of the edge E be some variable(lets say 'e'). Then, the sides of rectangle are e+1 and e-1

[versed salmon]

k ty

[obtuse pebble]

@versed salmon Has your question been resolved?

[obtuse pebble]

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[rare bloom]

Hello

[rare bloom]

I hope I don’t wait another 2 hours

Just to get a reply

@scenic sundial

You can help now

@gritty nova can you help?

[ruby finch]

Slope is dy/dx

Or rise/run

[rare bloom]

Rise run

Rise/run

[ruby finch]

Yes

[rare bloom]

It’s rise/run

[ruby finch]

That's what I told?

[rare bloom]

Bruh

I don’t think that is the answer

[ruby finch]

It's not the answer it's how you get the answer

[rare bloom]

I know

But I want the answer

With explanation

[ruby finch]

3/15

And the graph

[rare bloom]

What is it for y = mx + b thhen?

[balmy mortar]

not how the help rules work

[ruby finch]

y = 3*x/15

[gritty nova]

well the equation will be y = mx + b, it says A plan for a new ramp requires that every 3 inches of heght, 15 inches of base, height is rise, and its rise/run, so the slope would be 15/3

[rare bloom]

Damn 2 answers thanks buddy’s

[gritty nova]

wait isn't it 15/3

[ruby finch]

base would be run

height would be rise

[gritty nova]

ye so 15/3

so the slope would be 5

[ruby finch]

What

It's rise/run

3/15

[rare bloom]

So it’s y = 5 + 3?

[ruby finch]

y = 3x/15

[gritty nova]

oh wait ye im dumb mb

[rare bloom]

Ok wait

[gritty nova]

3/15 is the slope ye

[rare bloom]

Give me a min

HEY GET OUT

Is this true

I ain’t a simp

@ruby finch

Hello?

@gritty nova

[ruby finch]

No

[rare bloom]

K wait

[gritty nova]

what

the equation so far is y = 3x/15 + b

[rare bloom]

Umm

There is 2 points

And in the image

There is only 1 shown

[ruby finch]

make the other point then?

[rare bloom]

Wdym make

@ruby finch

So it’s y = 3x + 15

15 is b?

<@&286206848099549185>

15 minutes passed

So I guess I can ping

<@&286206848099549185>

[obtuse pebble]

@rare bloom Has your question been resolved?

[rare bloom]

<@&286206848099549185>

[scenic sundial]

y=mx+b so therefore 15 is b

[rare bloom]

K thanks

@scenic sundial

I got another question

[scenic sundial]

what's up

[rare bloom]

K wait

Question 2

The base length of the new ramp is also 110 inches. What is the height of the new ramp? How does it compare to the height of the original ramp?

<@&286206848099549185>

@scenic sundial ?

[scenic sundial]

Is this an exam?

[rare bloom]

No

If it was a exam

Then it would’ve closed 2 hours ago

I’ve been asking questions before like 3 hours

@scenic sundial

[obtuse pebble]

@rare bloom Has your question been resolved?

[rare bloom]

<@&286206848099549185>

[scenic sundial]

I'm unable to help. Sorry But it seems like question is basically following question 1

[rare bloom]

It is

[scenic sundial]

So show work of what you did

[obtuse pebble]

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[obtuse pebble]

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[hybrid frost]

If point of inflection is about the change in concavity, then what about convexity?

This is a dumb question I'd say but I still want to clarify my doubt😅

[hybrid frost]

You can call the point of inflection as the change in convexity if Concave down = Convex up and Concave up = Convex down?

[balmy mortar]

equivalent yes.

concavity switch

concavity means whether a curve is convex or concave

[hybrid frost]

Oh, then what about convexity? Sorry, if this sounded dumb

[balmy mortar]

concavity means whether a curve is convex or concave

convexity is a word that youve made up probably

[unique solstice]

Convection oven

[hybrid frost]

[visual kelp]

? no

[hybrid frost]

I just thought since there are words like concave and convex, and since the word concavity exists, I assumed the word convexity should exist too

[visual kelp]

Uhh, isn't it just the opposite anyway?

At least in this case

In more typical 'hardcore' cases

You define one

and use -..

[balmy mortar]

no idea

[unique solstice]

Convexity is apparently some economics term

[balmy mortar]

But really, there are a lot of stupid definitions i see in wikipedia

[visual kelp]

e.g. f is convex is a region iff -f is concave in the same region.

[hybrid frost]

Fr ngl

[balmy mortar]

concave
concave downwards
convex upwards

are all apparently the same thing

and a bunch more

[visual kelp]

It's not? It's just used in generic convex analysis

[balmy mortar]

just use 1 term

[visual kelp]

Vocabulary does not help much I agree

[balmy mortar]

@visual kelp never heard of it, no idea.

[visual kelp]

But convexity definitions are not stupid.

That's all I can say right now

[hybrid frost]

Aight, that helps. Thanks!

[hybrid frost]

I see

[balmy mortar]

are they all actually different?

[unique solstice]

If you google convexity theres not a single thing about non economics stuff

[balmy mortar]

if theyre all different, then ok. But uh...

[visual kelp]

The equation one 'works' I think

[balmy mortar]

you mean in another conetext

[visual kelp]

But like conceptually I use a different definition

[balmy mortar]

these are all different?

[visual kelp]

no

They are the same

[balmy mortar]

It sounds like for all intents and purposes at highschool, lets just stick with 'convex' and 'concave'

[visual kelp]

I use a convex (extended-real-valued) function on a convex set is convex iff its epigraph is convex.

[balmy mortar]

and probably early uni

[visual kelp]

This is a lot easier to see, etc.

But certainly the equation definition is used for standard proofs

[balmy mortar]

@visual kelp which area is this?

in advanced

i might ask later

[visual kelp]

:( convex analysis doesn't really exist

It's mostly relevant in optimization

[balmy mortar]

ok

[visual kelp]

Tere's #advanced-analysis but they are kind of interested in different things

[balmy mortar]

cus to me whos never seen it having like 6 equivalent terms for the same thing looks very funny

[visual kelp]

Oh they do list convex analysis in there lol

[visual kelp]

Well I think it helps more than it hurts. Same thing as Invertible Matrix Theorem

There's a lot of equivalent statements

You use the most relevant one when you need it

[balmy mortar]

Haha well I shouldnt have called it stupid without knowing more

[obtuse pebble]

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[obtuse pebble]

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[quick nymph]

Hi math statistics would you please check my graph if I do it right or no ?

[obtuse pebble]

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[sly basin]

the area should be- 1/2bh

the base is 7

but idk how to find the height

[brittle swan]

height of triangle = height of parallelogram

[obtuse pebble]

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[keen vault]

B

[mild ocean]

i’m not 100% sure i know what the sides of the blue triangle say

wait i think i can read it

[mild ocean]

see if there is a constant you can multiply one of the triangles by to make the side lengths match the other one

look at the shortest side on both of them

[keen vault]

5 and 4?

[mild ocean]

yes

[sharp granite]

what are those numbers? on blue

[keen vault]

ill label

[mild ocean]

4, 6 and 8

[keen vault]

yeah

sn

[sharp granite]

if the triangles are similar

[keen vault]

No

lol

[sharp granite]

the ratio of their side will be equal

[sharp granite]

what you mean no?

[mild ocean]

scale one of the triangles by a constant

see if you can get the side lengths to match

[keen vault]

how

u just want me to add them?

[sharp granite]

what do you mean by this

[keen vault]

i thought u said "are the triangles similar"

[sharp granite]

they're similar

[keen vault]

ik

[sharp granite]

so

prove so

by ratio of the sides

[keen vault]

They look the same

one is just bigger

[sharp granite]

one easy way to always solve these problems are

to take the biggest side of the tringle

and start with that

so here,

AC/AB = XZ/XY

[keen vault]

uh

ac and xz is 10

[sharp granite]

and then AC/AB= ZY/XY

[keen vault]

both 10?

[sharp granite]

no?

[keen vault]

14

[sharp granite]

AC is 8 right?

look at your diagram

[keen vault]

oh

yeah

my b

and ab is 4?

[sharp granite]

correct

[keen vault]

wbt the .5

[sharp granite]

where is .5?

[keen vault]

yz

7.5

[sharp granite]

yes 7.5

what about it?

[keen vault]

so it's not similar?

[sharp granite]

why not?

[keen vault]

.5

[sharp granite]

and?

[keen vault]

that's it

[sharp granite]

😅

do you want me to explain in detail?

i can do so

[keen vault]

no

please

[sharp granite]

coz I feel like you're having difficulty understand

[keen vault]

how am i supposed to show my work

[sharp granite]

what's your name?

[keen vault]

mid

[sharp granite]

mid imagine there are 2 triangles

of same sides

and when you zoom in on one triangle

you increase it's size, make it bigger

but it's stay the same

so when you zoom in on something which is of 5 cm by the scale of 2

you make its size 2x

= 10cm

it's the same with triangles

[keen vault]

oh

so

it is just smaller

[sharp granite]

yeah

or the other traingle is just bigger

so to find out our scale

what we can do is compare the sides to see how stretched out or zoomed in they are

when we stretch it out the whole triangle gets bigger

all the 3 sides

so it's obvious that the ratio of the sides will still be the same

i am gonna help you with this one @keen vault

[keen vault]

ok

[sharp granite]

can you substitute the numbers

[keen vault]

no

i figured it out

.close

[obtuse pebble]

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[fierce thunder]

is d not the answer?

[raven spire]

Given x > 0, is it possible to have x < -2 ?

[fierce thunder]

oh u right

lol

@raven spire

wtf does this mean

[raven spire]

Means

you draw the graph y = 2^x

you draw the line y = x

now, you consider the reflection of y = 2^x on the line y = x, on the other side of the line

[fierce thunder]

y=x means reflection>?

[raven spire]

and check which graph does it represent or match closely :o

noooo

[fierce thunder]

we cant use calc

this is non calc

[raven spire]

"it is reflected around the line y = x"

Yes this is non calc...

But you can't do this unless you've paid attention to your instructors :o or was attentive enough while working with functions

[fierce thunder]

wtf is y=x

[raven spire]

,w plot y = x and y=2^x

y = x is a straight line equation lol

[fierce thunder]

oh

that

so

[warm shale]

Results provided by WolframAlpha

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Requested by Ansh#3502

[fierce thunder]

its reflected

[dusk nexus]

yb better

[raven spire]

Yes... the purple curve is reflected on the blue line

[fierce thunder]

he is

[raven spire]

the resultant curve you get on the other side, is what you want

[fierce thunder]

alr

but we get no graphing calc

so how do we do it with out that

u only know what y=x is

what u do next

[dusk nexus]

you should know that reflecting across y=x is equivalent to finding the inverse function of y

[raven spire]

tbh

[fierce thunder]

ok thats all u had to say

:/

[raven spire]

Your instructor might've hinted you on this during the lesson

smh

[fierce thunder]

inverse of both right

x and y

so x= y

not reflected only on 1 axis

[raven spire]

also, that's giving everything away lol >_< we're not supposed to provide direct solutions
can only guide you on the correct approach

Ykw, just draw a rough graph for all the options and get done w'it

[fierce thunder]

bruhg

thats how i will figure it out

i have never seen y= x

i have only seen x= y

y =x is normal isnt it

[dusk nexus]

those are exactly the same

[fierce thunder]

how is that the same

y= x

[raven spire]

y = x is more commonly used but okay

,w plot y=x

[warm shale]

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Upgrade to WolframAlpha Pro!

Requested by Ansh#3502

[raven spire]

,w plot x = y

[warm shale]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by Ansh#3502

[raven spire]

...?

[fierce thunder]

nvm

lol

[raven spire]

smh

[fierce thunder]

i just never seen it

[raven spire]

ANyways

for your question

Whenever you have a function y = f(x)

the reflection on y = x, is

[warm shale]

Ansh

[fierce thunder]

ye ik that

[raven spire]

figure the inverse of 2^x

[fierce thunder]

x= 2^y

[raven spire]

yes but you want that equation in terms of "y" in the form of y = some function of "x"

so that you can compare f^-1(x) to that function of "x" you get

and say, yes that's the inverse I got

[fierce thunder]

lo2^y=x

wait

[raven spire]

that's still not in the form y = g(x)

[fierce thunder]

idk

[dusk nexus]

use logarithm

[fierce thunder]

.

log2^y=x

[dusk nexus]

oh

what base is that log

[fierce thunder]

2

[dusk nexus]

yep

[fierce thunder]

thats not the answer tho

[dusk nexus]

yeah u should have used log on both sides

not just the LHS

[fierce thunder]

i dont get u

[dusk nexus]

this is an equation

whatever u do should preserve that equality

which means u should apply any operation on both sides

[fierce thunder]

can u draw it out

i am very confused

on how to do this question

now what

[dusk nexus]

you can bring the y down from the exponent because of logarithm properties and now the log and the 2 on the left side should cancel

[fierce thunder]

can u write it

i dont understand from words

[raven spire]

$\log_n x^y = y\log_n x$

[warm shale]

Ansh

[fierce thunder]

what??

is it not

logx=log2^y

[balmy mortar]

@raven spire

what is going on

[raven spire]

We're trying to find the reflection of y = 2^x on y = x

[dusk nexus]

we're only looking at the left hand side here

also you should really brush up on ur logarithm laws

[fierce thunder]

no i get that

i dont get how u went from x=2^y to that

[dusk nexus]

oh thats really messy

[warm shale]

sean

[fierce thunder]

ok but how does the 2 turn into a x?

we are using this rule?

[dusk nexus]

..?

where does 2 turn into an x

[fierce thunder]

ylog2^2

u said log2^x=y

[dusk nexus]

those aren't the same thing..

[fierce thunder]

ok

so we simplfied to ylog2^2

now what

[warm shale]

sean

[dusk nexus]

so

[fierce thunder]

Oohh

i get it

i c

i thought

u i gnored

[dusk nexus]

$$\log_2 2 \implies 1$$

[fierce thunder]

the x side

[warm shale]

sean

[fierce thunder]

that why

i was confused

i thought u were only logging rhs

thats y

[dusk nexus]

?

where did i only use log on the rhs

[fierce thunder]

i forgot about lhs

[dusk nexus]

i specifically said we took log base 2 on both sides

[fierce thunder]

No i said i thought

[dusk nexus]

ok

u good now?

[fierce thunder]

yea

[dusk nexus]

ok

[fierce thunder]

its hard for me to understand thru text

im more of a visual learner

sorry for the hassle

[dusk nexus]

np

[obtuse pebble]

@fierce thunder Has your question been resolved?

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[keen vault]

is this 23?

[feral swallow]

Nope

What is corrosponding to ab?

[keen vault]

4

[feral swallow]

In the other shape?

Ok look u have 2 choices

U can do cross multiply

Ab/de =ac/df

What is ab?

[keen vault]

4

4/9.2

[feral swallow]

Yee

[keen vault]

5.5/x

[feral swallow]

Exactly

[keen vault]

how am i supposed to multiply x

[feral swallow]

Now cross multiply

[keen vault]

ohhh

alr

[feral swallow]

U will get

[keen vault]

11.96?

[feral swallow]

?x= ??

Hmm

Nopee how did u get 11.96?

[keen vault]

2.2

nvm 2.2

[feral swallow]

How did u get 2.2🥲

Okok look

[keen vault]

4x 5.2

divided by 9.2

[keen vault]

oh damn

i put 5.2

oops

[feral swallow]

Ooopp

No problem

Make sure its right numbers bro, its fine

[keen vault]

wait so

9.2 x 5.5

[feral swallow]

Yess

[keen vault]

50.6

[feral swallow]

Yepp

[keen vault]

then divide by 4?

[feral swallow]

And then 4x =50.6 how do u..

Yessss corret

[keen vault]

12.65

[feral swallow]

CORRECTT*

Exactllyy

And then round to nearest centimeter

[keen vault]

then round to 13

[feral swallow]

Im not sure what could be centimeter iss tbh

Either 13 or.. 12.7

[keen vault]

12.7

yeah

[feral swallow]

Ouuu

Okayokay good

[keen vault]

thanks

[feral swallow]

No problem take care

[keen vault]

u 2

.close

[obtuse pebble]

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[sacred steppe]

Because I want to understand this now...
I need to ask another question..

I know I can solve log10(125) by typing in the calculator and I get 2,0969.
It's the same as 10^x = 125.
Can I solve this somehow without the log?

[timid silo]

I don't think so

[fervent comet]

The power of trial and error

Jk lol

I don’t think u can

[sacred steppe]

I'm just curious about this. If you think about the calculator.. Somehow somebody has implemented this method as well. So why shouldn't it be possible?

[fervent comet]

Idk

Search on google or something

[regal crater]

if we multiply all prime numbers and add it with 1 will that equal to a prime no.?

[sacred steppe]

.close

[obtuse pebble]

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[vapid delta]

This is a Pythagorean's theorem question, but I'm setting it up incorrectly to get a derivative out of it

[idle thunder]

Show your work

[vapid delta]

(90-x)^2+90^2=y^2
You can easily remove the ^2 from everything, but that's not usable as a derivative
But I'm also not sure how I could get anything different in my equation

[raven spire]

what...?

mark the triangle you're applying Pythagoras on with vertices and tell me which one is it

and the sides of the triangle

I'm not sure there's any triangle in the figure that corresponds to sides
(90-x, 90, y)

[vapid delta]

Yeah it would just be x^2+90^2=y^2

[raven spire]

Obv

Now do you have it?

Can you continue?

[vapid delta]

Is x + 90 = y differentiable?

[idle thunder]

differentiate that

[vapid delta]

Not very

[raven spire]

huh?

[idle thunder]

You didn't differentiate correctly!!!!!!!!!!!!!!

[raven spire]

just differentiate that w.r.t. t

[raven spire]

also, it's x² + 90² = y²

[vapid delta]

Yes

You can take a ^2 off of everything easily

Unless I'm wrong

[raven spire]

wdym?

3² + 4² = 5² => 3 + 4 = 5???

[idle thunder]

No

[raven spire]

what?

[idle thunder]

That's a constant

$\frac{d}{dx}C = 0$

[warm shale]

sills

[raven spire]

[balmy mortar]

Yes you are.

[vapid delta]

But how?

[balmy mortar]

ansh literally just showed you

does 7 = 5?

3² + 4² = 5² => 3 + 4 = 5

[vapid delta]

The top is what I was thinking originally :P

Yeah

[idle thunder]

What are you doing???

Just differentiate the equation

x² + 90² = y²

[raven spire]

that's not how you're supposed to tell them that though-

I mean, okay but why differentiate >_<

[idle thunder]

if you differentiate with respect to time you get dx/dt and dy/dt

[raven spire]

So, you're basically given two curves y(t) and x(t) and a relation between them that goes y² = x² + 90²
And you're asked, given x'(t), what is y'(t)

How do you do it? ofc, you just differentiate the relation w.r.t. "t"

[vapid delta]

I know I did something wrong, but I'm not sure what
I just know it shouldn't look like this

[sage geode]

It should be 2y*dy/dt in 2nd equation

Instead of just 2(dy/dt)

[vapid delta]

Oh right

[raven spire]

WHAT?

I thought we agreed on

[raven spire]

[vapid delta]

Fuck

[raven spire]

indeed

[vapid delta]

I could be wrong, since I'm still pretty new to related rates, but this doesn't really seem like it would help me (assuming it's even correct :P)

[raven spire]

2x...?

tf

x = x(t)

and we're differentiating w.r.t. "t" and not "x"

how come $\dv{x^2(t)}{t} = \dv{x^2(t)}{x}$?

[warm shale]

Ansh

[raven spire]

doesn't seem wrong

go ahead

[vapid delta]

Really? I sent this because I thought it would convey that I didn't know what I was doing
Not that doing things right is bad, but I'm not really sure where I could go from here
I could plug -15 in for dx/dt, since we know that rate, but I would need values for x and y, and I don't know how I would get those
Related rates problems aren't really making much sense to me, so I don't know if it's something specifically involved with doing them that I'm missing

[raven spire]

whaaat

huhhh? did you not read the question?

maybe read it again?

[obtuse pebble]

@vapid delta Has your question been resolved?

[vapid delta]

I have reread the question quite a few times, and I don't see how I have enough information to get numerical values for x or y, which I would need to solve dy/dt

[raven spire]

Okay let me read it for you

A baseball diamond ... At what rate is the player's distance from third base decreasing when the player is halfway between the first and second base? ... dx/dt = -15, etc.

Is that information enough?

[vapid delta]

Yeah
I glossed over that part because we have x, but now I realize that we're using x to be general, but x=45 at this specific point

Thank you

.close

[obtuse pebble]

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[spark trout]

can someone help? it sounds really logical but I just don't know how to formulate a proof

[spark trout]

.close

[obtuse pebble]

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[copper heron]

i tried integrating coshu*sinh^2u by parts but i got sinh^3

[sage geode]

Derivative of sinh^3 is 3cosh*sinh^2 yeah

[copper heron]

well

[sage geode]

Was that your question or?

[copper heron]

my handwriting bit messy am sorry

but what did i do wrong here

[copper heron]

yes

oh wait

i got it

thanks for the help

a bit stupid on my side

.close

[obtuse pebble]

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[arctic smelt]

I have data on the numbers of finish positions of each lane in track and field (sprints) from 1st to last position. I'm trying to see if a lane provides an advantage. What test can I use to show if the difference is significant or not?

[obtuse pebble]

@arctic smelt Has your question been resolved?

[novel knoll]

if you want to test whether the prob of winning from each lane is the same, so if N lanes prob of winning from lane n is 1/N, for n in {1,...,N}

then use a G-test or approximate the G-test with chisq

[arctic smelt]

So if I use 7 lanes for example, each lane would have a theoretical value of winning of 1/7. But I can compare the actual values for each lane with a G-test? Or a chisquare test? I just want to make sure I understood you correctly.

[novel knoll]

wdym? Yes with a G-test you are testing do they come from a discrete uniform distribution (so all prob have 1/7)

if prob is below significance level you reject that

[arctic smelt]

Ok thanks

.close

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[candid frigate]

How do I calculate basic "find x" problems with SpeedCrunch?
When I try this, it says translated to English: "Unknown function or variable"

[wooden bobcat]

You work your way backwards

It’s like you move 1 next to the 3

[elfin pilot]

I don't think he asks how to solve it

[wooden bobcat]

Oh really

I thought

[elfin pilot]

he just asks how to use a program

[wooden bobcat]

My fault

[elfin pilot]

no?

[candid frigate]

Sorry for the slow reply, I didn't expect a fast response 😅

I'm trying to figure out how to solve x in general with SpeedCrunch

[wooden bobcat]

Nah I’m also just waiting for someone to answer mines too

Let me get this

[elfin pilot]

you should use symbolab for things like this

symbolab.com/solver

[candid frigate]

The school is forcing me to use SpeedCrunch 😭

[wooden bobcat]

I don’t know how to use that but I’ll leave you to it

[elfin pilot]

hmm

what do you have to do

[candid frigate]

All kinds of calculations but it's essential that I know how to apply x in to the equations

[wooden bobcat]

Tuby help me right after please 🙏 😩

[candid frigate]

If I can't use the calculator to solve anything regarding x, I'll be done for ;_;

[elfin pilot]

so what is the problem with the program

[candid frigate]

The problem is that whenever I type "x", it immediately complains it to be unknown

Which is the point, it is unknown, and needs to be solved

[elfin pilot]

do you type x in english?

or some other alphabet

[candid frigate]

Do you mean that I may have to switch my keyboard layout to ENG?

[elfin pilot]

maybe the program doesn't recognize the character x, some programs don't

[candid frigate]

I have also tried that. Same problem 😄

Both the UK and US versions

[elfin pilot]

wait a bit

[candid frigate]

I've tried looking for help via google but there's also nothing that I've found to be helpful

[elfin pilot]

maybe there is a command for "solve for x"

or something like that

[candid frigate]

I haven't yet found one

[elfin pilot]

do you need to use that specific program?

[candid frigate]

I can also use GeoGebra Classic's CAS, but I kinda hate it 😅 I've no clue how it works

Like it just does this for example:

And I don't see any command for "solve x" or whatever anywhere

And if I click on any equation it just goes really wild and inserts all kinds of things to the equation and makes it all messy, like this

But if I'm forced to use it, if truly SpeedCrunch is unable as a calculator to solve something as basic as 1+x=3, then ig I have to focus on GeoGebra.
However I highly doubt SpeedCrunch is unable to solve x

[elfin pilot]

idk why they force you to use that program, but idk if I can help with this

it isn't much of a maths problem

maybe you can ask someone else

[candid frigate]

Yeah... thank you anyways ;_;

[elfin pilot]

so sorry

[candid frigate]

Where should I seek help?

[ruby finch]

http://www.speedcrunch.org/userguide maybe?

[candid frigate]

I'll look in to it

ehh, the best one I got is to use x in a function like f(x), apparently that works.

But it isn't exactly what I'm going for here.
Say, if I wanted to solve something as simple as 1+x=3, how would I apply an f(x) function to find x? 😅

Here's the links for the "variables" section from that link you gave:
http://www.speedcrunch.org/userguide/advanced.html#variables

Why would my school even suggest (let alone force us to use it) using a calculator like SpeedCrunch 😭 Can't even solve x

Me: "1+x=3, solve x"
SpeedCrunch:

https://tenor.com/view/the-universe-tim-and-eric-mind-blown-mind-blown-meme-mind-explosion-mind-explosion-meme-gif-18002878

Can I ping helpers now? Maybe? :''D

[timid silo]

What's wrong?

[candid frigate]

Check pin

[timid silo]

K

Why use format x+1=3

[candid frigate]

I'm not really sure how else to do it 😛

Even if I just type x, in any point of an equation (or just on its own) it says the same:

Complains that x is unknown

[obtuse pebble]

@candid frigate Has your question been resolved?

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[sand wind]

Can someone help with the second last one?

and i just dont know how to even start this one

[obtuse pebble]

@sand wind Has your question been resolved?

[sand wind]

<@&286206848099549185>

[obtuse pebble]

@sand wind Has your question been resolved?

[sand wind]

<@&286206848099549185>

[obtuse pebble]

@sand wind Has your question been resolved?

[obtuse pebble]

@sand wind Has your question been resolved?

[sand wind]

.close

[obtuse pebble]

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[hot wing]

when does gauss jordan elimination fail?

[hot wing]

i have this matrix and vector, and i need to find the solutions of Ax=b

[hazy marlin]

fail ?

wdym by fail?

[hot wing]

as in when can i be sure that there are no solutions

[hazy marlin]

you can be sure that there are no solutions when there's a contradictory equation line

[hot wing]

when i do gauss jordan elimination, i end up with the augmented matrix being in the correct form

[spiral maple]

if you get 0000|* for non-zero * in the REF

[hazy marlin]

e.g. 0+0+0+0 = non zero

[hot wing]

aaaah

[hazy marlin]

is it necessarily in the REF?

I think it applies at any point during the elimination

[spiral maple]

yeah

[hot wing]

thanks that answered my question, the last row became 0+0+0+0=1/4

so thats why it fails

[hazy marlin]

Now wether you did the elimination correctly is a different story lol

[hot wing]

i double checked earlier with a calculator to make sure, i did indeed manage lel

ty for help

[hazy marlin]

But for the record it doesn't mean the elimination failed

but yea sure yw

[hot wing]

oh right, what would i call it

[hazy marlin]

Nothing in particular, simply that there are no solutions

[hot wing]

ah ok got it, ty again

.close

[obtuse pebble]

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[paper spire]

I'm supposed to solve the given IVP

my work is above, although I think I'm not on the right track since ln of a negative is undefined and there is an answer in the textbook

this is the answer right here:

what confuses me the most is the part at the beginning where (1+2x) is multiplied by dy/dx. I try to separate them so I can get y on the other side, but this results in ln when antideriving which isn't in the answer at all.

<@&286206848099549185>

[obtuse pebble]

@paper spire Has your question been resolved?

[spiral maple]

forgot the abs value bars when you integrated

also forgot the 1/2 that comes from integrating 1/(1+2x)

[paper spire]

why would there be a 1/2?

I thought since it's over 1 I would use ln

[obtuse pebble]

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[keen vault]

how

?

[shy jasper]

trignometry

[keen vault]

yes

[shy jasper]

a) use sin(65º)

b) use tan(32º)

[short spruce]

don't give people answers

[shy jasper]

sorry

do u know what sin is

[keen vault]

yes

[shy jasper]

do u know soh cah toa

[keen vault]

yeah

[shy jasper]

for a

what info do u have in terms of the angle

[keen vault]

65 and 10

and its 90

[shy jasper]

yeah right traignle

but there are sides opposite, adjacent, and hypoteuse

in terms of the 65º angle, what side do u have and what side do u need to find

[keen vault]

x

@shy jasper

[shy jasper]

and what else

x and hypotenuse right?

x is what in terms of the angle

adjacent or opposite

[keen vault]

opposite

@shy jasper

[shy jasper]

yeah

so u have opposite and hyptenuse

meaning u use sine

because soh cah toa

so u can set up an equation

sin(65º) = opposite/hypotenuse and u can just substitute in ur values

[obtuse pebble]

@keen vault Has your question been resolved?

[obtuse pebble]

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[keen vault]

.reopen

[obtuse pebble]

✅

[keen vault]

@shy jasper

[shy jasper]

yes

[keen vault]

do i just put

sin(65º)

in my calc

[obtuse pebble]

@keen vault Has your question been resolved?

[keen vault]

.close

[obtuse pebble]

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[muted solar]

from my understanding im trying to find
P(Y | X1 = 40, X2 = 3.5)

[muted solar]

im a little lost on how to do that

if i plug in the values i have with the betas i get Y = -0.5 which is no he will not get an A?

b0,b1,b2 = -6, 0.05, 1
Y = -6 + (40*b1) + (3.5*b2)
Y
## output -0.5

could use some reminding on how i could find the probability tho

found this from textbook and guessing thats the eq i should use?

.close

[obtuse pebble]

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[warped moat]

Is this function odd?

Cause I could factor out the negatives and make it equal to -f(x)

[spiral maple]

it isn't odd

cause you have both even and odd powers.

[warped moat]

what does that mean?

[spiral maple]

what dont you understand about what I said?

[warped moat]

Ohhh i see

[spiral maple]

even and odd?
powers?

[warped moat]

yeah im just really tired rn

sorry

thanks for the help!

.close

[obtuse pebble]

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[golden hearth]

I'm confused what linear algebra properties I'm supposed to use in order to simplify this

[spiral maple]

dot product distributes like FOIL

[golden hearth]

I expected that but what about the right side

[spiral maple]

there's no RHS

it's an expression

[golden hearth]

no as in the norm

[spiral maple]

$\norm{u}^2=u\cdot u$

[warm shale]

Mosh

[golden hearth]

aaaah

[spiral maple]

easy to prove this result as well

$u\cdot u=\sum_{i=1}^n u_i^2=\left[\sqrt{\sum_{i=1}^n u_i^2}\right]^2$

[warm shale]

Mosh

[golden hearth]

in linear algebra I should never write two vectors right next to each other without either a dot or X right

so when I FOIL u * u can't be written as u^2?

[spiral maple]

yes

u*u not u^2

[golden hearth]

.close

[obtuse pebble]

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[timid silo]

Can someone show me how to start this problem

[obtuse pebble]

@timid silo Has your question been resolved?

[obtuse pebble]

@timid silo Has your question been resolved?

[obtuse pebble]

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[hybrid urchin]

How to appeal

[void pelican]

?

appeal for what @hybrid urchin

[hybrid urchin]

For a ban

[void pelican]

this isn't the place for that

I think DM @lyric cosmos

[hybrid urchin]

Ok

[wanton dagger]

Excuse me @void pelican

[void pelican]

?

[wanton dagger]

Can u come to help 20 please

[void pelican]

im good

[void pelican]

huh

not me

DM the bot

[hybrid urchin]

Someone hack this id and send fake link to this server so someone kick him from the server now this id is free

Plz let him again

[hybrid urchin]

Bot is not doing anything

[void pelican]

DM a moderator then

you can .close this channel

[hybrid urchin]

Now he is listening

[void pelican]

lol

[hybrid urchin]

Lil

[obtuse pebble]

@hybrid urchin Has your question been resolved?

[obtuse pebble]

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[obtuse pebble]

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[keen vault]

i don't know how to do this

[keen vault]

doesn't really make sense

[timid silo]

Do you know trigonometry?

[keen vault]

yes

[flat anvil]

do you know SOH CAH TOA?

[keen vault]

Yes

[flat anvil]

okay well this picture gives you an angle, an opposite side, and a hypotenuse

so which trig function would you use?

[keen vault]

cos?

[flat anvil]

what does SOH CAH TOA stand for

[keen vault]

sine cosine tangent

[flat anvil]

no...

[keen vault]

what

[flat anvil]

Sin opposite hypotenuse, cosine adjacent hypotenuse, tangent opposite adjacent

that is what it stands for

[keen vault]

soh:?

[flat anvil]

yes

SOH is sine opposite hypotenuse

now go back to ur question

we are given: an angle, and the hypotenuse, and we want to find the opposite side

so logically, what trig functoin would we use here?

[keen vault]

idk

[flat anvil]

okay i want you to review your notes on trig

and then come back

[keen vault]

i don't have notes

[obtuse pebble]

@keen vault Has your question been resolved?

[pine sail]

Opposite/hypotenuse is what?

[obtuse pebble]

@keen vault Has your question been resolved?

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[mystic lion]

does the width of the cone contribute to its surface area

[pulsar schooner]

Well if a cone is wider, does its surface area chance?

[obtuse pebble]

@mystic lion Has your question been resolved?

[obtuse pebble]

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[sharp heath]

would the answer be 15!/10!

or would it be 15!5!/10!

[ruby finch]

15 different cards so n is 15

you're dealing 5 out of them

so r is 5

now use $P(n,r)=\frac{n!}{(n-r)!}$

[warm shale]

kirby your mom

[sharp heath]

yea so i figured it would be 15!/10! because 15x14x13x12x11

[tardy epoch]

Does the order of the 5 cards matter?

[sharp heath]

thats what im wondering

if it does matter then its 15!5!/10! right?

[tardy epoch]

Once you have 5 cards, it doesn't matter how you got it

[sharp heath]

wait

no

wait idk

[tardy epoch]

I think this needs to be corrected for the ordering not mattering.

[sharp heath]

if the order does matter then its 15!/10! ?

[ruby finch]

I didn't know

Question doesn't say so

But I think

[sharp heath]

answer pls lol

[shell heart]

If the question is not saying anything

Then

I guess

Order shouldn't matter

[sharp heath]

and in that case

if the order does not matter

whats the answer

15!/10! no?

[ruby finch]

if order does not matter

then find the combinations

use the combinations formula.

[sharp heath]

so if the order matters

[ruby finch]

use the permutations formula

[ruby finch]

This one

[sharp heath]

which gives 15!/10!

[ruby finch]

yes

[sharp heath]

and then the combinatinos answer would be

15!/10!5!

right

[ruby finch]

Yup

[sharp heath]

okay

but where did 5! come from

[ruby finch]

if order does not matter, 1,2,3 is the same as 2,3,1

[sharp heath]

i understand 15!/10! is 15x14...x11

yea

[ruby finch]

So do you think the number of combinations will reduce or increase?