some one explain how to solve this | Mathematics | Page 1

burnt nebula May 22, 2023, 3:47 PM

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lim x -> 0 (sqrt(2 + 3x) - sqrt(2 - 5x))/(4x)

frank sonnet May 22, 2023, 3:48 PM

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Hey noob

burnt nebula May 22, 2023, 3:48 PM

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hi

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explain

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how

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now

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.

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the rocks.

frank sonnet May 22, 2023, 3:49 PM

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Ok so

burnt nebula May 22, 2023, 3:49 PM

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yes

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?

frank sonnet May 22, 2023, 3:49 PM

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Give me 1 sec

burnt nebula May 22, 2023, 3:49 PM

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frank sonnet

holy he valid

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....

shell tiger May 22, 2023, 4:07 PM

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This is a conditional

burnt nebula May 22, 2023, 4:07 PM

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means

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?

shell tiger May 22, 2023, 4:07 PM

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LT is a conditional

burnt nebula May 22, 2023, 4:07 PM

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what is a conditional

shell tiger May 22, 2023, 4:07 PM

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😀😄 it’s a math problem in and of itself

burnt nebula May 22, 2023, 4:07 PM

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nails

shell tiger May 22, 2023, 4:07 PM

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Quite

burnt nebula May 22, 2023, 4:07 PM

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well

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anyways can u explain hwo to solve

shell tiger May 22, 2023, 4:08 PM

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Sure

burnt nebula May 22, 2023, 4:10 PM

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.....

shell tiger May 22, 2023, 4:10 PM

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A

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Take the two sides, delete the X

burnt nebula May 22, 2023, 4:11 PM

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how do you delete the x

shell tiger May 22, 2023, 4:11 PM

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Turn it into a new problem

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But not quite

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You have to factor in the conditional

burnt nebula May 22, 2023, 4:12 PM

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what happened to the sqrt

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2

shell tiger May 22, 2023, 4:12 PM

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Temporarily removed

burnt nebula May 22, 2023, 4:12 PM

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huh?

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you can do that?

shell tiger May 22, 2023, 4:12 PM

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It’s ancient knowledge, it works

burnt nebula May 22, 2023, 4:12 PM

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huh

shell tiger May 22, 2023, 4:12 PM

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This ain’t common core son!

burnt nebula May 22, 2023, 4:12 PM

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very nice okay explain

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i read that sir

shell tiger May 22, 2023, 4:13 PM

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There’s a negative sqrt

burnt nebula May 22, 2023, 4:13 PM

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nails

shell tiger May 22, 2023, 4:13 PM

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Sorry for my weirdness

burnt nebula May 22, 2023, 4:13 PM

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its ok lol

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ur helping

shell tiger May 22, 2023, 4:13 PM

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I’m glad!

burnt nebula May 22, 2023, 4:16 PM

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@ me if theres a reply

frank sonnet May 22, 2023, 4:21 PM

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Oh

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U didn’t ping me

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Can’t expect me to remember if u don’t ping me

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Ok

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Now I help

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Do u know the trick to getting the derivative of sqrt x?

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It’s not exactly a trick but a step

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@burnt nebula

burnt nebula May 22, 2023, 4:22 PM

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nails

frank sonnet May 22, 2023, 4:22 PM

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nails?

burnt nebula May 22, 2023, 4:22 PM

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frank sonnet Do u know the trick to getting the derivative of sqrt x?

the what

frank sonnet May 22, 2023, 4:22 PM

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burnt nebula May 22, 2023, 4:22 PM

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oh

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x^1/2 and then power rule?

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if thats what u mean

frank sonnet May 22, 2023, 4:23 PM

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no no, the normal way

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With +h and limit to 0

burnt nebula May 22, 2023, 4:23 PM

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theres a normal way!!!!

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oh

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that

frank sonnet May 22, 2023, 4:23 PM

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anyway

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Look it up

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U can apply it here too

burnt nebula May 22, 2023, 4:24 PM

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lim x-> 0 ((sqrt(x + dx)) - sqrtx // dx)

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is that right

frank sonnet May 22, 2023, 4:24 PM

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And then u get the correct result if my mental math is right

burnt nebula May 22, 2023, 4:26 PM

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oh i looked

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its

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the

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@frank sonnet its the rationalizing denominator trick but instead its the numerator now!

frank sonnet May 22, 2023, 4:27 PM

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Now do it on this problem

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It will nicely simplify

burnt nebula May 22, 2023, 4:29 PM

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okay

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@frank sonnet can i ask dumb question

frank sonnet May 22, 2023, 4:32 PM

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Hm

burnt nebula May 22, 2023, 4:32 PM

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how do u evaluate

frank sonnet May 22, 2023, 4:32 PM

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How dumb is it

burnt nebula May 22, 2023, 4:32 PM

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(2+3x) - (2+5x)

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this

frank sonnet May 22, 2023, 4:32 PM

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ecksdee

burnt nebula May 22, 2023, 4:32 PM

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frank sonnet How dumb is it

judge yourself

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algebra is hard

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man

frank sonnet May 22, 2023, 4:32 PM

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Even while writing down u mad ea mistake

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It’s -5x not +

burnt nebula May 22, 2023, 4:32 PM

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sign

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??

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what is htat bullet point

burnt nebula May 22, 2023, 4:33 PM

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frank sonnet Even while writing down u mad ea mistake

anyways thats cause im solving this shit on notepad

frank sonnet May 22, 2023, 4:33 PM

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Anyway when u write it down correctly it’s 8x lol

burnt nebula May 22, 2023, 4:33 PM

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frank sonnet Anyway when u write it down correctly it’s 8x lol

no like how do u evaluate those problems

frank sonnet May 22, 2023, 4:33 PM

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Wdym

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Which problems

burnt nebula May 22, 2023, 4:33 PM

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those

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(2+3x) - (2-5x)

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these

frank sonnet May 22, 2023, 4:33 PM

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I don’t See a Probleme

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It’s just

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Calculating

burnt nebula May 22, 2023, 4:34 PM

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am i brain gg

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i am

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its

frank sonnet May 22, 2023, 4:34 PM

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Or what are u referring to

burnt nebula May 22, 2023, 4:34 PM

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2+3x - 2 + 5x

frank sonnet May 22, 2023, 4:34 PM

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Yes

burnt nebula May 22, 2023, 4:34 PM

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8x

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nails

frank sonnet May 22, 2023, 4:34 PM

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Damn u suck

burnt nebula May 22, 2023, 4:34 PM

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frank sonnet Damn u suck

i dont

frank sonnet May 22, 2023, 4:34 PM

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burnt nebula May 22, 2023, 4:34 PM

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im just having brain problem

frank sonnet May 22, 2023, 4:35 PM

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How tf did u manage to become undergrad?

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What are u studying?

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(Don’t take this too serious)

burnt nebula May 22, 2023, 4:35 PM

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i used to be pretty insane at studying

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just fell off during covid

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trying to reclaim my throne (insert wolf alone meme)

frank sonnet May 22, 2023, 4:35 PM

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frank sonnet What are u studying?

?

burnt nebula May 22, 2023, 4:35 PM

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comp sci

frank sonnet May 22, 2023, 4:36 PM

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I see

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(trivial)

burnt nebula May 22, 2023, 4:36 PM

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yeah im pretty good just rusty as shit

frank sonnet May 22, 2023, 4:36 PM

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burnt nebula May 22, 2023, 4:36 PM

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i started actually caring about studies again like a week ago

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so

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@frank sonnet how to simplify this (sqrt(2+3x) + sqrt(2-5x))

frank sonnet May 22, 2023, 4:37 PM

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I assume ur now in the denominator

burnt nebula May 22, 2023, 4:38 PM

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yaes

frank sonnet May 22, 2023, 4:38 PM

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Since now the denominator isn’t 0 anymore u can distribute the limit

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And since sqrt is continuous u can also get the limit in the sqrt

burnt nebula May 22, 2023, 4:38 PM

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wait is that the condition before you can distribute the lim

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that denom isnt 0

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bro

frank sonnet May 22, 2023, 4:39 PM

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Yes

burnt nebula May 22, 2023, 4:39 PM

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i did not know that

frank sonnet May 22, 2023, 4:39 PM

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burnt nebula May 22, 2023, 4:39 PM

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i just thought you had to simplify as much as possible before applying lim

frank sonnet May 22, 2023, 4:39 PM

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Ye I know that’s how they teach it in school

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They smh don’t trust the children to have more than 1 iq

burnt nebula May 22, 2023, 4:40 PM

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man

frank sonnet May 22, 2023, 4:40 PM

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Well

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Now make me helper of the year

burnt nebula May 22, 2023, 4:41 PM

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nails?

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repeated line for some reason

frank sonnet May 22, 2023, 4:41 PM

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Correct

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(I only checked the result)

burnt nebula May 22, 2023, 4:41 PM

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feels strong man clap

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now

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help with more or does that require another coinflip

frank sonnet May 22, 2023, 4:42 PM

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It does

burnt nebula May 22, 2023, 4:42 PM

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flip

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then

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nails

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@frank sonnet

frank sonnet May 22, 2023, 4:46 PM

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Well trivial

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burnt nebula May 22, 2023, 4:46 PM

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you're trivial

frank sonnet May 22, 2023, 4:46 PM

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I know right

burnt nebula May 22, 2023, 4:47 PM

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explain how

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it works

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nails

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frank sonnet May 22, 2023, 4:47 PM

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a^2 + b^2 = c^2

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Done

burnt nebula May 22, 2023, 4:47 PM

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are you telling

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me

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that

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its the pytha goran

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nail!

frank sonnet May 22, 2023, 4:47 PM

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U use it yes

burnt nebula May 22, 2023, 4:48 PM

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no like i don't even get the question

frank sonnet May 22, 2023, 4:48 PM

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Do u know how shadows work?

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Do u see the right triangle

burnt nebula May 22, 2023, 4:48 PM

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no

frank sonnet May 22, 2023, 4:49 PM

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Well that sucks

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I’m gonna draw an image

burnt nebula May 22, 2023, 4:49 PM

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frank sonnet Well that sucks

i see

frank sonnet May 22, 2023, 4:49 PM

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U do the rest

burnt nebula May 22, 2023, 4:50 PM

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theres an example solution but i didnt understand how it worked and yea

frank sonnet May 22, 2023, 4:51 PM

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burnt nebula May 22, 2023, 4:52 PM

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is that

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a person

frank sonnet May 22, 2023, 4:52 PM

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It is

burnt nebula May 22, 2023, 4:52 PM

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okay

frank sonnet May 22, 2023, 4:52 PM

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My drawings are great

burnt nebula May 22, 2023, 4:52 PM

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OH HES GOING AWAY

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SO

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SHADOW SMALLER

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OOO

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how is x'(d)

frank sonnet May 22, 2023, 4:55 PM

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Now make me helper of the century

burnt nebula May 22, 2023, 4:59 PM

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I DONT GET IT EXPLAIN

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+close

frank sonnet May 22, 2023, 5:03 PM

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Sucker

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Ok

burnt nebula May 22, 2023, 5:03 PM

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frank sonnet Sucker

please explain how

frank sonnet May 22, 2023, 5:03 PM

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What don’t u get

burnt nebula May 22, 2023, 5:03 PM

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literally everything

frank sonnet May 22, 2023, 5:04 PM

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U just gotta calculate the ratio between the two sides next to the right angle

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I forgot how u call them in English

burnt nebula May 22, 2023, 5:04 PM

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the lim questions make so much more sense now that i know you apply it when the equation doesn't collapse

frank sonnet May 22, 2023, 5:04 PM

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I know, I’m great

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Ok sucker

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I will give u the start

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U gotta do the rest

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Understood?

burnt nebula May 22, 2023, 5:05 PM

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no

burnt nebula May 22, 2023, 5:05 PM

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frank sonnet U just gotta calculate the ratio between the two sides next to the right angle

cos?

frank sonnet May 22, 2023, 5:07 PM

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burnt nebula no

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What is the answer in ur textbook

burnt nebula May 22, 2023, 5:08 PM

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frank sonnet What is the answer in ur textbook

okay

frank sonnet May 22, 2023, 5:08 PM

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Just the answer

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I wanna check my work

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Even though I don’t think I made a mistake

burnt nebula May 22, 2023, 5:08 PM

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frank sonnet May 22, 2023, 5:08 PM

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Ah yes

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Same

burnt nebula May 22, 2023, 5:08 PM

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i have nails'd irl

frank sonnet May 22, 2023, 5:08 PM

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Here

burnt nebula May 22, 2023, 5:08 PM

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also ima need another flip because i have another insanely complicated question

burnt nebula May 22, 2023, 5:09 PM

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frank sonnet

what are u drawing on

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btw

frank sonnet May 22, 2023, 5:09 PM

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Ur moms hot back

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burnt nebula May 22, 2023, 5:09 PM

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m

burnt nebula May 22, 2023, 5:09 PM

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frank sonnet

this makes no sense to me

frank sonnet May 22, 2023, 5:09 PM

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How…

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Look

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U calculate the ratio

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Of the triangle in red

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Since we know both side lengths

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6-2 and d

burnt nebula May 22, 2023, 5:10 PM

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triangle in red?

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why

frank sonnet May 22, 2023, 5:10 PM

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Yes

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Bcs

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The ratio will be the same

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As for the green one

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Since they are similar

burnt nebula May 22, 2023, 5:11 PM

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how is red and green similar

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i thought white and green were

frank sonnet May 22, 2023, 5:11 PM

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They are just scaled

burnt nebula May 22, 2023, 5:11 PM

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nvm brain dmg question sorry

frank sonnet May 22, 2023, 5:11 PM

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Ok

burnt nebula May 22, 2023, 5:11 PM

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frank sonnet

plinking is crazy btw

frank sonnet May 22, 2023, 5:11 PM

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So now we wanna know x

burnt nebula May 22, 2023, 5:11 PM

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wait

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lemme look

frank sonnet May 22, 2023, 5:11 PM

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To do that

burnt nebula May 22, 2023, 5:12 PM

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your diagram is so fucking hard to look at bro use better colors pls

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im crine

frank sonnet May 22, 2023, 5:12 PM

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We apply the ratio and the side length we know, 6

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We get 1.5d

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We gotta take away 1d since we just calculated x+d

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And then we have x

burnt nebula May 22, 2023, 5:12 PM

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what is he saying

frank sonnet May 22, 2023, 5:13 PM

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I give up

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burnt nebula May 22, 2023, 5:13 PM

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no i legitimately do not understand

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what are we even trying to find

frank sonnet May 22, 2023, 5:13 PM

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x

burnt nebula May 22, 2023, 5:13 PM

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why do we need x

frank sonnet May 22, 2023, 5:13 PM

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Cause x is the shadow length u nerd

burnt nebula May 22, 2023, 5:14 PM

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its not

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y is

frank sonnet May 22, 2023, 5:14 PM

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THERE IS NO Y IN MY DIAGRAM TF

burnt nebula May 22, 2023, 5:14 PM

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nvm ur x is my y

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im look at the book

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ing

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ok so why do we need y

frank sonnet May 22, 2023, 5:14 PM

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Call it x

burnt nebula May 22, 2023, 5:14 PM

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we need rate of change of y

frank sonnet May 22, 2023, 5:14 PM

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Or I kill u

burnt nebula May 22, 2023, 5:14 PM

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okx

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why do we need x

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we need dx/dt

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oh so we can differentiate it

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moron

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sorry

frank sonnet May 22, 2023, 5:15 PM

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If we know x in respect to d we can just take the derivative

burnt nebula May 22, 2023, 5:15 PM

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frank sonnet If we know x in respect to d we can just take the derivative

who the fuck is d

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???

frank sonnet May 22, 2023, 5:15 PM

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Distance to light

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It’s all clear in my diagram

burnt nebula May 22, 2023, 5:15 PM

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so we need to find shadow length wrt distance to pole

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so we can differentiate wrt time

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?

frank sonnet May 22, 2023, 5:16 PM

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We can simply multiply by 6 later

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Since we move 6 steps per second

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Then we can just ignore t

burnt nebula May 22, 2023, 5:16 PM

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burnt nebula so we need to find shadow length wrt distance to pole

i mean shadow length in terms of distance to pole

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what

frank sonnet May 22, 2023, 5:17 PM

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Anyway I’m gone

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burnt nebula May 22, 2023, 5:17 PM

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i dont get it

burnt nebula May 22, 2023, 5:46 PM

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+closse

#some one explain how to solve this