#help-36 | Mathematics | Page 8

fallen reef Sep 28, 2022, 5:51 PM

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Is this true

void valley Sep 28, 2022, 5:51 PM

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yes

fallen reef Sep 28, 2022, 5:51 PM

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Great

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Thanks

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.close

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fierce swift Sep 28, 2022, 6:11 PM

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final saddleBOT Sep 28, 2022, 6:11 PM

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fierce swift

fierce swift Sep 28, 2022, 6:12 PM

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How do I reflect it?

tawdry sable Sep 28, 2022, 6:13 PM

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fierce swift How do I reflect it?

across what line?

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oh

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i see

wanton glacier Sep 28, 2022, 6:13 PM

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first draw the line y = -2

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then for each individual point

tawdry sable Sep 28, 2022, 6:13 PM

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i tend to use a mirror

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however the angle of the mirror may put you off

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however you maybe be able to do it with matricies

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im sure there is a reflection matrix

wanton glacier Sep 28, 2022, 6:14 PM

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count the units it took to get to that line and then put that point next to however many units you counted

tawdry sable Sep 28, 2022, 6:14 PM

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or this ^

wanton glacier Sep 28, 2022, 6:15 PM

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it'd be a bit easier to explain if we were in a vc lol

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it aint that difficult

fierce swift Sep 28, 2022, 6:16 PM

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is it like this?

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wait the line is slightly off

wanton glacier Sep 28, 2022, 6:24 PM

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yeah you got it

fierce swift Sep 28, 2022, 6:28 PM

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ok thanku

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.close

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rotund warren Sep 28, 2022, 6:33 PM

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Scores in golf can be positive or negative integers. For example, a score of 5 over par can be represented by +5 and a score of 4 under par can be represented by -4. If Donna has scores of 3 over par, 5 under par, and 4 over par for three games of golf, what was her total score?

final saddleBOT Sep 28, 2022, 6:33 PM

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rotund warren Scores in golf can be positive or negative integers. For example, a score of 5 o...

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@rotund warren Has your question been resolved?

rotund warren Sep 28, 2022, 7:06 PM

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.close

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near thistle Sep 28, 2022, 7:15 PM

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hello

final saddleBOT Sep 28, 2022, 7:15 PM

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near thistle hello

near thistle Sep 28, 2022, 7:15 PM

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pls help :D

deft ravine Sep 28, 2022, 7:17 PM

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What have you tried? 🙂

near thistle Sep 28, 2022, 7:18 PM

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converting it into same bases

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tried messing with the sq root to ^0.5

deft ravine Sep 28, 2022, 7:18 PM

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Good idea

near thistle Sep 28, 2022, 7:18 PM

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havent had any success

deft ravine Sep 28, 2022, 7:19 PM

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Yes, what do you think is a suitable common basis?

near thistle Sep 28, 2022, 7:19 PM

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18?

cedar cipher Sep 28, 2022, 7:19 PM

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whats common for all those numbers?

near thistle Sep 28, 2022, 7:19 PM

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oh 3

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uh

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is that wrong?

deft ravine Sep 28, 2022, 7:20 PM

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near thistle oh 3

Yes 👍

near thistle Sep 28, 2022, 7:20 PM

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ok

cedar cipher Sep 28, 2022, 7:20 PM

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try converting everything to base 3

near thistle Sep 28, 2022, 7:21 PM

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oh alr ty

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how would the bottom 6 be converted into 3? its 3^1.63..

deft ravine Sep 28, 2022, 7:32 PM

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18 and 6 cancel

final saddleBOT Sep 28, 2022, 7:38 PM

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woven isle Sep 28, 2022, 7:45 PM

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im doing y = mx + c in class and i forgot how to do it need some help

final saddleBOT Sep 28, 2022, 7:45 PM

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woven isle im doing y = mx + c in class and i forgot how to do it need some help

deft ravine Sep 28, 2022, 7:45 PM

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c is the intersection with the y axis

woven isle Sep 28, 2022, 7:46 PM

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1?

deft ravine Sep 28, 2022, 7:46 PM

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Yes 👍

woven isle Sep 28, 2022, 7:46 PM

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whats the gradient

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2?

deft ravine Sep 28, 2022, 7:46 PM

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No

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m = Delta y / Delta x

near thistle Sep 28, 2022, 7:47 PM

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so basically

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its y2-y1/x2-x1

woven isle Sep 28, 2022, 7:48 PM

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3 then

deft ravine Sep 28, 2022, 7:48 PM

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Yes

woven isle Sep 28, 2022, 7:48 PM

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y= 3x + 1

near thistle Sep 28, 2022, 7:48 PM

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yes

deft ravine Sep 28, 2022, 7:48 PM

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Very good

woven isle Sep 28, 2022, 7:50 PM

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y = 2x + x?

tired walrus Sep 28, 2022, 7:50 PM

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thonk

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this is definitely not y = 3x

woven isle Sep 28, 2022, 7:51 PM

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thT=at was a different question

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that*

near thistle Sep 28, 2022, 7:53 PM

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woven isle y = 2x + x?

no

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0.5

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since every 1x y passes 0.5

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and +2 since y intercept is 2

woven isle Sep 28, 2022, 7:55 PM

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yeah i get that now

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y = 4x -3?

near thistle Sep 28, 2022, 8:01 PM

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yes

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:D you got it!

final saddleBOT Sep 28, 2022, 8:11 PM

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stoic mural Sep 28, 2022, 8:55 PM

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if we have an increase of 85 percent, we start with 100 so we add them

wise pond Sep 28, 2022, 8:57 PM

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85% increase

100 + 85 = 185.%

move the decimal over two places to get

1.85

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great question: here is an example

Example) 60% decrease

100 ||- 60 = 40.% ||

move the decimal over two places to get

||0.40||

final saddleBOT Sep 28, 2022, 9:02 PM

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oak kraken Sep 28, 2022, 9:23 PM

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final saddleBOT Sep 28, 2022, 9:23 PM

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oak kraken

oak kraken Sep 28, 2022, 9:23 PM

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How do we know the RHS is referring to x=0 or y=0?

near spoke Sep 28, 2022, 9:24 PM

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what rhs

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the 0?

oak kraken Sep 28, 2022, 9:24 PM

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Yeah

stoic mural Sep 28, 2022, 9:24 PM

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use complwtw the square

oak kraken Sep 28, 2022, 9:24 PM

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Right hand side

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I mean just by looking at it

near spoke Sep 28, 2022, 9:24 PM

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oak kraken Yeah

its neither x nor y

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just a restriction on x

oak kraken Sep 28, 2022, 9:25 PM

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It’s a constant, so a straight line right?

near spoke Sep 28, 2022, 9:25 PM

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oak kraken It’s a constant, so a straight line right?

hm y=0 then

stoic mural Sep 28, 2022, 9:26 PM

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x^2-3x-10<=0
(x-3/2)^2-9/4-10<=0
(x-3/2)^2<=49/4
x-3/2<= +- 7/2
x<=(3 +- 7)/2

oak kraken Sep 28, 2022, 9:26 PM

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Ugh.. syntax

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I wish discord would automatically write math to be more readable using keyboard math syntax

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I look at this and my brain melts

stoic mural Sep 28, 2022, 9:27 PM

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yeah we have a latex bot but im on mobile

dark flax Sep 28, 2022, 9:29 PM

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Can someone help me out?

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The domain and range

oak kraken Sep 28, 2022, 9:30 PM

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I don’t think I would need to do all this math each and every time to know if x=0 or y=0 on the right hand side of the inequality?

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The question itself seems so simple

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It’s asking when the parabola is below the x axis

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But I just don’t understand from glancing at it whether it’s below the x axis or left of the y axis

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I know for sure it’s looking for when it’s equal to 0 and below 0, just don’t know if it’s for x axis or y axis

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Oh

soft zealotBOT Sep 28, 2022, 9:32 PM

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#

#

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grim nebula Sep 28, 2022, 9:33 PM

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i.e. the points below the x-axis

oak kraken Sep 28, 2022, 9:33 PM

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Interesting.. would a better way to write this question be with f(x)= in front of LHS and RHS?

grim nebula Sep 28, 2022, 9:34 PM

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it literally does not matter

oak kraken Sep 28, 2022, 9:34 PM

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OK

cedar cipher Sep 28, 2022, 9:34 PM

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you can use the quadratic formula to quickly get the roots and use the roots as your bounds

grim nebula Sep 28, 2022, 9:35 PM

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stoic mural x^2-3x-10<=0 (x-3/2)^2-9/4-10<=0 (x-3/2)^2<=49/4 x-3/2<= +- 7/2 x<=(3 +- 7)/2

also wtf martin

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the last 2 lines are complete nonsense

stoic mural Sep 28, 2022, 9:35 PM

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wdym?

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i took squate root

grim nebula Sep 28, 2022, 9:36 PM

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yeah and thats wrong

stoic mural Sep 28, 2022, 9:36 PM

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how so?

oak kraken Sep 28, 2022, 9:36 PM

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https://tenor.com/view/dead-melt-homer-scary-gif-14299487

Tenor

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OK not just me looking at that and brain going

stoic mural Sep 28, 2022, 9:37 PM

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oh

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oh yeah

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totally

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didnt think about that

grim nebula Sep 28, 2022, 9:38 PM

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alright this latex is just not working

soft zealotBOT Sep 28, 2022, 9:38 PM

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grim nebula Sep 28, 2022, 9:38 PM

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this is straight up not how you solve quadratic inequalities

oak kraken Sep 28, 2022, 9:39 PM

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grim nebula alright this latex is just not working

https://tenor.com/view/data-code-review-star-trek-shocked-mind-blown-gif-5637869

Tenor

stoic mural Sep 28, 2022, 9:40 PM

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i guess finding roots and then looking which areas are under 0

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here we have only 2 roots so that is quick

oak kraken Sep 28, 2022, 9:41 PM

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.close

final saddleBOT Sep 28, 2022, 9:41 PM

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frigid oasis Sep 28, 2022, 9:48 PM

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help

final saddleBOT Sep 28, 2022, 9:48 PM

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frigid oasis help

frigid oasis Sep 28, 2022, 9:48 PM

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<@&286206848099549185> 8z=4(2z+1)

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what is z

paper ginkgo Sep 28, 2022, 9:48 PM

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Bring z to one side

frigid oasis Sep 28, 2022, 9:49 PM

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ok

paper ginkgo Sep 28, 2022, 9:49 PM

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First multiply the bracket out

steep maple Sep 28, 2022, 9:49 PM

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start by simplifying the right part

paper ginkgo Sep 28, 2022, 9:49 PM

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paper ginkgo First multiply the bracket out

What does it give?

frigid oasis Sep 28, 2022, 9:49 PM

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so 8z

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=4

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+4*

paper ginkgo Sep 28, 2022, 9:49 PM

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8z = 8z+4 yes

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Now?

frigid oasis Sep 28, 2022, 9:50 PM

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uhh

steep maple Sep 28, 2022, 9:50 PM

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move z to one side

frigid oasis Sep 28, 2022, 9:50 PM

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so subtract 8 form both

steep maple Sep 28, 2022, 9:51 PM

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8z yeah

frigid oasis Sep 28, 2022, 9:51 PM

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so z+4

paper ginkgo Sep 28, 2022, 9:51 PM

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No

steep maple Sep 28, 2022, 9:51 PM

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no?

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subtract 8z from both sides

frigid oasis Sep 28, 2022, 9:51 PM

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so 0z

paper ginkgo Sep 28, 2022, 9:51 PM

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Whole equation

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What is it now

frigid oasis Sep 28, 2022, 9:52 PM

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4?

paper ginkgo Sep 28, 2022, 9:52 PM

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This is not an equation

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This is a number

steep maple Sep 28, 2022, 9:52 PM

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both the left and the right

paper ginkgo Sep 28, 2022, 9:52 PM

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What is the equation

frigid oasis Sep 28, 2022, 9:52 PM

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idk

paper ginkgo Sep 28, 2022, 9:52 PM

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8z-8z = 8z-8z + 4??

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What is this

frigid oasis Sep 28, 2022, 9:52 PM

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+4?

paper ginkgo Sep 28, 2022, 9:53 PM

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Equation

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Keep the = sign

steep maple Sep 28, 2022, 9:53 PM

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you're not typing the left side

frigid oasis Sep 28, 2022, 9:53 PM

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so 0z=4

steep maple Sep 28, 2022, 9:53 PM

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0=4

paper ginkgo Sep 28, 2022, 9:53 PM

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Does this make sense?

frigid oasis Sep 28, 2022, 9:53 PM

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ohh

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so the answer is 0=4?

paper ginkgo Sep 28, 2022, 9:53 PM

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Can 0 be equal to 4?

frigid oasis Sep 28, 2022, 9:53 PM

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no?

paper ginkgo Sep 28, 2022, 9:54 PM

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Yeah so the equation is impossible

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It’s an inequality

frigid oasis Sep 28, 2022, 9:55 PM

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what would i write for the answer

paper ginkgo Sep 28, 2022, 9:55 PM

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8z < 8z+4

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That’s all you can say here

steep maple Sep 28, 2022, 9:56 PM

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or that z has no real solutions

frigid oasis Sep 28, 2022, 9:56 PM

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ok

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so its -0?

steep maple Sep 28, 2022, 9:57 PM

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no

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z isn't equal to anything

frigid oasis Sep 28, 2022, 9:57 PM

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ok

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so its like undifeinde

steep maple Sep 28, 2022, 9:57 PM

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yeah

frigid oasis Sep 28, 2022, 9:57 PM

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ok

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what level math was that

paper ginkgo Sep 28, 2022, 9:58 PM

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Like 8th grade I think

steep maple Sep 28, 2022, 9:58 PM

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I think I did this in like 8th grade yeah

frigid oasis Sep 28, 2022, 9:58 PM

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ok

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.close

final saddleBOT Sep 28, 2022, 9:58 PM

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Channel closed

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final saddleBOT Sep 29, 2022, 1:05 AM

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supple copper Sep 29, 2022, 1:07 AM

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final saddleBOT Sep 29, 2022, 1:07 AM

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supple copper

latent cloak Sep 29, 2022, 1:08 AM

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find where the derivative of the equation is equal to 0

supple copper Sep 29, 2022, 1:08 AM

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so I found the derivative of -2sinx + 2cos2x

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but how do I solve for x

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I can cancel out a 2 but then I still dunno

latent cloak Sep 29, 2022, 1:10 AM

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remember that sinx/cosx=tanx

supple copper Sep 29, 2022, 1:12 AM

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mhhm how can that help me tho

soft zealotBOT Sep 29, 2022, 1:13 AM

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latent cloak Sep 29, 2022, 1:15 AM

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wait, giveme a second to think

grim nebula Sep 29, 2022, 1:16 AM

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latent cloak remember that sinx/cosx=tanx

this is pretty much unhelpful here

latent cloak Sep 29, 2022, 1:16 AM

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yeah I realized that after lol

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https://socratic.org/questions/how-do-you-find-the-points-where-the-graph-of-the-function-f-x-2cosx-sin2x-has-h

Socratic.org

How do you find the points where the graph of the function f(x)=2co...

The function will have horizontal tangents at x = pi/6, x = (5pi)/6 and x= (3pi)/2. The tangent will be horizontal when the slope (or the derivative) equals 0. By the product and chain rules, we have: f'(x) = -2sinx + 2cos(2x) Set this to 0 and solve for x. 0 = -2sinx + 2cos(2x) 0 = -2sinx + 2(1- 2sin^2x) 0= -2sinx+ 2 - 4sin^2x 4sin^2x + 2sinx -...

grim nebula Sep 29, 2022, 1:22 AM

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bruh

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its

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just a quadratic in sin(x)

grim nebula Sep 29, 2022, 1:22 AM

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soft zealot

its just this

final saddleBOT Sep 29, 2022, 1:27 AM

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@supple copper Has your question been resolved?

supple copper Sep 29, 2022, 1:32 AM

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ohh -sinx + 1 - 2sin^2(x)

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okay I think I can solve that

grim nebula Sep 29, 2022, 1:33 AM

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quadratic in sin(x)

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use a substitution jutsu if youd like

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thought not 100% necessary

final saddleBOT Sep 29, 2022, 2:03 AM

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@supple copper Has your question been resolved?

supple copper Sep 29, 2022, 2:09 AM

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thanks!

final saddleBOT Sep 29, 2022, 2:09 AM

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ocean lagoon Sep 29, 2022, 2:15 AM

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can someone explain how they did this step?

final saddleBOT Sep 29, 2022, 2:15 AM

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ocean lagoon can someone explain how they did this step?

ocean lagoon Sep 29, 2022, 2:16 AM

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I believe multiplying by gcd of (x+h)^2 * x^2, but can you just flip the fraction? and how it's the 1-1=0*everything = 0?

final tangle Sep 29, 2022, 2:16 AM

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combine fractions, common denominator etc

ocean lagoon Sep 29, 2022, 2:18 AM

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I assume this is an inbetween step, but where did the 1-1 go? where did the (x+h)^2x^2 come from, or is that multiplying by gcd?

final tangle Sep 29, 2022, 2:19 AM

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no, what you just wrote is completely illegitimate

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recall how you'd simplify
$$\frac12 - \frac13$$
you wouldn't say that's $\frac{1-1}{2-3}$ (which is 0) would you?

soft zealotBOT Sep 29, 2022, 2:20 AM

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ℝamonov

ocean lagoon Sep 29, 2022, 2:20 AM

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ahh, you'd get the gcd, my brain farted lmao

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.close

final saddleBOT Sep 29, 2022, 2:21 AM

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stark apex Sep 29, 2022, 2:28 AM

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How does this happen

final saddleBOT Sep 29, 2022, 2:28 AM

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stark apex How does this happen

latent cloak Sep 29, 2022, 2:30 AM

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x/2 is the same as (1/2)x

stark apex Sep 29, 2022, 2:32 AM

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Ig that makes sense so would I put the 1/2 outside of the square root or inside

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Actually i think its inside nvm

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.close

final saddleBOT Sep 29, 2022, 2:33 AM

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lucid heart Sep 29, 2022, 2:41 AM

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Could someone please help me with this, this is due at 11:59

final saddleBOT Sep 29, 2022, 2:41 AM

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lucid heart Could someone please help me with this, this is due at 11:59

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@lucid heart Has your question been resolved?

final saddleBOT Sep 29, 2022, 3:28 AM

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@lucid heart Has your question been resolved?

final saddleBOT Sep 29, 2022, 3:58 AM

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final saddleBOT Sep 29, 2022, 2:29 PM

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long palm Sep 29, 2022, 2:38 PM

#

what is the pattern from 3, 7, 15?

final saddleBOT Sep 29, 2022, 2:38 PM

#

long palm what is the pattern from 3, 7, 15?

lean magnet Sep 29, 2022, 2:38 PM

#

well

fathom walrus Sep 29, 2022, 2:39 PM

#

what type of pattern

#

i spot a few

lean magnet Sep 29, 2022, 2:39 PM

#

yeah

#

theres numerous

fathom walrus Sep 29, 2022, 2:39 PM

#

*2 + 1

#

or +4(1) then +4(2) then next could be 27 with +4(3)

long palm Sep 29, 2022, 2:44 PM

#

I think I got it

#

Thanks guys

fathom walrus Sep 29, 2022, 2:45 PM

#

what was the one u got

long palm Sep 29, 2022, 2:45 PM

#

fathom walrus *2 + 1

This one

fathom walrus Sep 29, 2022, 2:45 PM

#

ah k

final saddleBOT Sep 29, 2022, 3:00 PM

#

@long palm Has your question been resolved?

final saddleBOT Sep 29, 2022, 3:15 PM

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Channel closed

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final saddleBOT Sep 29, 2022, 6:48 PM

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potent cobalt Sep 29, 2022, 6:49 PM

#

Is there a good explanation about vectors?

final saddleBOT Sep 29, 2022, 6:49 PM

#

potent cobalt Is there a good explanation about vectors?

potent cobalt Sep 29, 2022, 6:50 PM

#

a explanation video

wary helm Sep 29, 2022, 6:51 PM

#

vectors are a quite broad topic, is there anything more specific you want the video to be about? or just an introduction to vectors?

potent cobalt Sep 29, 2022, 6:55 PM

#

introduction

#

with the cross and the dot stuff

wary helm Sep 29, 2022, 6:56 PM

#

at which level? high school or undergrad?

potent cobalt Sep 29, 2022, 6:56 PM

#

undergrad

#

well I saw the one of 1blue3brown and the ones of the organic chem tutor.. but i dont really understand it still

wary helm Sep 29, 2022, 6:59 PM

#

From MIT OpenCourseWare: https://ocw.mit.edu/courses/18-02sc-multivariable-calculus-fall-2010/pages/1.-vectors-and-matrices/part-a-vectors-determinants-and-planes/
in this section (1-A) there are good explanation videos with examples about vectors

MIT OpenCourseWare

Part A: Vectors, Determinants and Planes | Multivariable Calculus |...

This section provides an overview of Unit 1, Part A: Vectors, Determinants and Planes, and links to separate pages for each session containing lecture notes, videos, and other related materials.

potent cobalt Sep 29, 2022, 7:00 PM

#

ooh awesome!

#

thanks!

wary helm Sep 29, 2022, 7:00 PM

#

you're welcome

potent cobalt Sep 29, 2022, 7:03 PM

#

.close

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vivid tendon Sep 29, 2022, 7:12 PM

#

hey guys I have atleast I think some what of a niche problem im trying to solve im trying to fit squares in A4 format (in pixels) used 6 squars to start can explane all details in channel

final saddleBOT Sep 29, 2022, 7:12 PM

#

vivid tendon hey guys I have atleast I think some what of a niche problem im trying to solve ...

vivid tendon Sep 29, 2022, 7:16 PM

#

so basically Im working with the format of 5906x4134 pixels that I later trimmed to 5906x3638 pixels since I was able to successfully fit 6 squares of initial size of 126x126 each upscaled to the canvas size

#

now im trying to figure out the cleanest way to increase the square amount to around 900ish +/- with the cleanest numbers basically with no more then 2 decimals (the size of square side in pixels)

void crest Sep 29, 2022, 7:24 PM

#

eh

vivid tendon Sep 29, 2022, 7:25 PM

#

yep

void crest Sep 29, 2022, 7:25 PM

#

just find an equ for numb of squares u can fit for some length x in pixels

#

solve for that =900 n round up or down as u like it

vivid tendon Sep 29, 2022, 7:26 PM

#

whelp is there a more simple way to do it I have been trying but decimals are a problem

void crest Sep 29, 2022, 7:26 PM

#

r u working with 5906 by 4134

#

or 5906 by 3638

vivid tendon Sep 29, 2022, 7:26 PM

#

sorry im not here xd I have lost it a bit for how long I have spent on this and its late mb

vivid tendon Sep 29, 2022, 7:26 PM

#

void crest or 5906 by 3638

.

#

thats the one I used 126x126 6 squares and upscaled to fit exactly the size

void crest Sep 29, 2022, 7:27 PM

#

,w solve 5906/x +3638/x=900

soft zealotBOT Sep 29, 2022, 7:27 PM

#

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void crest Sep 29, 2022, 7:27 PM

#

,calc 2386/225

soft zealotBOT Sep 29, 2022, 7:27 PM

#

Result:

10.604444444444

void crest Sep 29, 2022, 7:27 PM

#

eh

#

10.6 pixels ig

vivid tendon Sep 29, 2022, 7:27 PM

#

wait wut

void crest Sep 29, 2022, 7:28 PM

#

hm

vivid tendon Sep 29, 2022, 7:28 PM

#

that will be like 9000 squares no?

#

im losing it xd

void crest Sep 29, 2022, 7:28 PM

#

oh wait

#

mb

#

,w solve 5906/x *(3638/x)=900

soft zealotBOT Sep 29, 2022, 7:29 PM

#

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void crest Sep 29, 2022, 7:29 PM

#

,calc sqrt(5371507)/15

soft zealotBOT Sep 29, 2022, 7:29 PM

#

Result:

154.51007877949

void crest Sep 29, 2022, 7:29 PM

#

154.51?

vivid tendon Sep 29, 2022, 7:30 PM

#

ok ill try that

#

one moment

#

what about the other canvas size

vivid tendon Sep 29, 2022, 7:35 PM

#

void crest r u working with 5906 by 4134

.

void crest Sep 29, 2022, 7:35 PM

#

so that worked?

void crest Sep 29, 2022, 7:35 PM

#

void crest ,w solve 5906/x *(3638/x)=900

i think use this but plug in the approriate sizes

vivid tendon Sep 29, 2022, 7:35 PM

#

whelp not exactly as close as I would like to

vivid tendon Sep 29, 2022, 7:35 PM

#

void crest i think use this but plug in the approriate sizes

ok ty

void crest Sep 29, 2022, 7:35 PM

#

len1/x * len2/x = numsquares

vivid tendon Sep 29, 2022, 7:36 PM

#

,w solve 5906/x *(4134/x)=900

#

0_0

soft zealotBOT Sep 29, 2022, 7:36 PM

#

#

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void crest Sep 29, 2022, 7:36 PM

#

,calc solve 5906/x *(4134/x)=900

soft zealotBOT Sep 29, 2022, 7:36 PM

#

The following error occured while calculating:
Error: Invalid left hand side of assignment operator = (char 23)

void crest Sep 29, 2022, 7:37 PM

#

o well just enter that val into a calculator or similar ig

vivid tendon Sep 29, 2022, 7:37 PM

#

ok ill try ty for the help

void crest Sep 29, 2022, 7:38 PM

#

np

#

holoApple

final saddleBOT Sep 29, 2022, 7:52 PM

#

@vivid tendon Has your question been resolved?

vivid tendon Sep 29, 2022, 7:53 PM

#

,w solve 5906/x *(4134/x)=1000

soft zealotBOT Sep 29, 2022, 7:54 PM

#

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final saddleBOT Sep 29, 2022, 7:57 PM

#

Channel closed

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violet rune Sep 29, 2022, 8:02 PM

#

$f_1 \in F^E$

final saddleBOT Sep 29, 2022, 8:02 PM

#

violet rune $f_1 \in F^E$

soft zealotBOT Sep 29, 2022, 8:02 PM

#

Max.cc

violet rune Sep 29, 2022, 8:02 PM

#

What does it mean?

worldly vale Sep 29, 2022, 8:03 PM

#

f_1 is a function from E to F

violet rune Sep 29, 2022, 8:03 PM

#

A function not an element?

worldly vale Sep 29, 2022, 8:03 PM

#

functions can be elements of sets

#

even as simply as {f}

#

f is a function, its also inside a set

final saddleBOT Sep 29, 2022, 8:18 PM

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@violet rune Has your question been resolved?

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royal idol Sep 29, 2022, 8:27 PM

#

what does the phrase "all elements that have one" mean?

Screen_Shot_2022-09-29_at_4.27.01_PM.png

final saddleBOT Sep 29, 2022, 8:27 PM

#

royal idol what does the phrase "all elements that have one" mean?

worldly vale Sep 29, 2022, 8:28 PM

#

not all elements of a field have a multiplicative inverse

#

for the ones that do, t hey want you to write it down

royal idol Sep 29, 2022, 8:30 PM

#

okay thanks, i was thinking they wanted the elements that have the value "1" lol

#

.close

final saddleBOT Sep 29, 2022, 8:30 PM

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odd parrot Sep 29, 2022, 8:43 PM

#

final saddleBOT Sep 29, 2022, 8:43 PM

#

odd parrot

odd parrot Sep 29, 2022, 8:43 PM

#

,rotate

soft zealotBOT Sep 29, 2022, 8:43 PM

#

odd parrot Sep 29, 2022, 8:43 PM

#

I dont know what to do past this

#

I am stuck

#

I missed out on the lecture

wraith crater Sep 29, 2022, 8:45 PM

#

What are factors of 2009

odd parrot Sep 29, 2022, 8:51 PM

#

7 is one?

#

7x7x41

#

in this case is a 41?

#

wow thank you

final saddleBOT Sep 29, 2022, 9:07 PM

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@odd parrot Has your question been resolved?

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quiet tangle Sep 29, 2022, 9:08 PM

#

I have no idea how to proceed

final saddleBOT Sep 29, 2022, 9:08 PM

#

quiet tangle I have no idea how to proceed

deft ravine Sep 29, 2022, 9:09 PM

#

,rotate

soft zealotBOT Sep 29, 2022, 9:09 PM

#

deft ravine Sep 29, 2022, 9:11 PM

#

You have the formula pH = -log("concentration H+"

fossil stream Sep 29, 2022, 9:11 PM

#

can you help me

quiet tangle Sep 29, 2022, 9:11 PM

#

deft ravine You have the formula pH = -log("concentration H+"

Yea, but like

#

2.5*10^-8=PH?

deft ravine Sep 29, 2022, 9:12 PM

#

Here you already know the concentration. So all you need to do is plug the number into the log

#

-log(2.5*10^-8)= pH

quiet tangle Sep 29, 2022, 9:12 PM

#

Oh, ok

#

So that’s the base?

deft ravine Sep 29, 2022, 9:13 PM

#

fossil stream can you help me

You can open a new channel 🙂

deft ravine Sep 29, 2022, 9:13 PM

#

quiet tangle So that’s the base?

Log is usually short for log base 10

fossil stream Sep 29, 2022, 9:14 PM

#

deft ravine You can open a new channel 🙂

I tried but no one answered

#

#help-1

quiet tangle Sep 29, 2022, 9:15 PM

#

deft ravine -log(2.5*10^-8)= pH

I must be stupid, or something

#

Because it’s not really making a lot of sense what I need to do

#

Do I remove what’s in the parentheses, or convert to exponential?

deft ravine Sep 29, 2022, 9:16 PM

#

What is your result?

quiet tangle Sep 29, 2022, 9:16 PM

#

deft ravine What is your result?

Well, it says the answer is 7.60

#

In terms of result, I don’t know what to do

deft ravine Sep 29, 2022, 9:17 PM

#

That makes sense

quiet tangle Sep 29, 2022, 9:17 PM

#

deft ravine That makes sense

I’m gonna try plugging it into a calculator

#

I got the answer from the calculator

#

I was just overthinking it lol

#

Thanks

deft ravine Sep 29, 2022, 9:19 PM

#

You're welcome

quiet tangle Sep 29, 2022, 9:31 PM

#

@deft ravine I have another question, if you don’t mind

deft ravine Sep 29, 2022, 9:31 PM

#

Yes?

quiet tangle Sep 29, 2022, 9:32 PM

#

deft ravine Yes?

How do you solve B?

deft ravine Sep 29, 2022, 9:33 PM

#

Don't like the wording of the question, but ok

quiet tangle Sep 29, 2022, 9:33 PM

#

Yea, it’s kind of weird

deft ravine Sep 29, 2022, 9:33 PM

#

Have you already tried anything?

quiet tangle Sep 29, 2022, 9:33 PM

#

Well, I know it’s 6.93 because I tried it in the calculator

#

I just wanna know if there’s another way

deft ravine Sep 29, 2022, 9:35 PM

#

You can say 5 = 10 * e^(-0.1t) and solve for t

quiet tangle Sep 29, 2022, 9:35 PM

#

Alright, thanks

deft ravine Sep 29, 2022, 9:36 PM

#

You're welcome. I can't answer another question as I go to bed now.

quiet tangle Sep 29, 2022, 9:37 PM

#

deft ravine You're welcome. I can't answer another question as I go to bed now.

Good night, then

deft ravine Sep 29, 2022, 9:37 PM

#

Thanks

final saddleBOT Sep 29, 2022, 9:52 PM

#

@quiet tangle Has your question been resolved?

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Channel closed

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final saddleBOT Sep 30, 2022, 1:15 AM

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lapis forge Sep 30, 2022, 1:20 AM

#

1/3 is the coefficient in h(t)=t/3, why?

final saddleBOT Sep 30, 2022, 1:20 AM

#

lapis forge 1/3 is the coefficient in h(t)=t/3, why?

void crest Sep 30, 2022, 1:21 AM

#

um

#

its the coe of t

#

like

#

coe is like

#

kt

#

k is the coe of t

#

in this case weve

#

t/3 = (1/3) t

#

namely k or the coe =3

lapis forge Sep 30, 2022, 1:22 AM

#

t/3 = 1/3*t, 1/3 = coe

#

not 3 right?

void crest Sep 30, 2022, 1:22 AM

#

yes

#

and yes

lapis forge Sep 30, 2022, 1:22 AM

#

ok ty

#

.close

final saddleBOT Sep 30, 2022, 1:23 AM

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Channel closed

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void crest Sep 30, 2022, 1:23 AM

#

np

#

holoApple

final saddleBOT Sep 30, 2022, 2:47 AM

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tranquil pine Sep 30, 2022, 2:58 AM

#

final saddleBOT Sep 30, 2022, 2:58 AM

#

tranquil pine

tranquil pine Sep 30, 2022, 2:59 AM

#

Nothing. I don't know how to do it.

rain compass Sep 30, 2022, 3:03 AM

#

that doesn’t give a solution lol

rain compass Sep 30, 2022, 3:05 AM

#

tranquil pine Nothing. I don't know how to do it.

if you solve for y in the second equation you’ll find that the two equations are actually the same. so their intersection is the entire line y = 3x + 1

tranquil pine Sep 30, 2022, 3:10 AM

#

rain compass if you solve for y in the second equation you’ll find that the two equations are...

bruh I wish I understood this fully NOOO

#

So if I do it by doing the reg equation for graphs with the second one ill get my answer?

rain compass Sep 30, 2022, 3:10 AM

#

if i asked you for the set of values that satisfy the two equations y = x and 2y = 2x, you’ll notice it’s just the line y = x

#

so you can say any point (x,x) satisfies the system of equations

#

similarly, the set of points for your system take the form (x,3x+1)

#

you can graph them if you want, but to show it rigorously you’ll need some kind of math

#

in general, a system of linear equations will have no solution if the lines don’t intersect, 2 solution if they intersect but aren’t parallel, and infinite solutions if the equations are equal (same line)

tranquil pine Sep 30, 2022, 3:14 AM

#

this is 1,4 right?

#

Im sorry my math is really really bad

rain compass Sep 30, 2022, 3:15 AM

#

(1, 4) is one of infinitely many points of intersection between the two lines

#

any point (x, 3x + 1) will work

#

for x=1 you get (1,4

#

for x =2 you get (2, 7)

#

for x = -pi you get (-pi, -3pi + 1)

tranquil pine Sep 30, 2022, 3:16 AM

#

yeah thats all stuff I havent learned yet

#

this is algebra II

rain compass Sep 30, 2022, 3:16 AM

#

what are your possible answer choices for this question

tranquil pine Sep 30, 2022, 3:17 AM

#

I guess (1,4)

#

but can you help me with this one, I'm coming back to the last

#

rain compass Sep 30, 2022, 3:17 AM

#

i’m talking about on the software

tranquil pine Sep 30, 2022, 3:17 AM

#

doesn't show

#

its weird

rain compass Sep 30, 2022, 3:18 AM

#

here just substitute y = -x + 5 into the first equation

final saddleBOT Sep 30, 2022, 3:33 AM

#

@tranquil pine Has your question been resolved?

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fiery pendant Sep 30, 2022, 3:46 AM

#

Hi can someone help me with this problem? I don't understand how q < sqrt (n / p)

final saddleBOT Sep 30, 2022, 3:46 AM

#

fiery pendant Hi can someone help me with this problem? I don't understand how q < sqrt (n / p...

#

@fiery pendant Has your question been resolved?

fiery pendant Sep 30, 2022, 4:06 AM

#

<@&286206848099549185>

#

i only struggle with understanding q < sqrt (n/p)...

muted prairie Sep 30, 2022, 4:30 AM

#

I think it should be a ≤ sign

final saddleBOT Sep 30, 2022, 4:40 AM

#

@fiery pendant Has your question been resolved?

final saddleBOT Sep 30, 2022, 5:10 AM

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feral siren Sep 30, 2022, 5:38 AM

#

For d why did they make it negative

final saddleBOT Sep 30, 2022, 5:38 AM

#

feral siren For d why did they make it negative

void crest Sep 30, 2022, 5:49 AM

#

um

#

|z-c| = a^2

#

means a circle of radii a

#

centered about c

#

so they put it in the form of z-something

#

so they can tell what point is the center of the circle

#

@feral siren

final saddleBOT Sep 30, 2022, 5:55 AM

#

@feral siren Has your question been resolved?

feral siren Sep 30, 2022, 5:59 AM

#

void crest <@489473096730935296>

So |z-c| always has to be negative?

void crest Sep 30, 2022, 5:59 AM

#

um

#

no

#

it can be positive or negative

#

consider

#

|z-1|

#

its a circle centred at 1

#

then consider

#

|z+1|

#

its a circle centred at -1

#

|z-(-1)|

#

this is just rewriting it

#

doest do anything

feral siren Sep 30, 2022, 6:00 AM

#

Oh ok

#

Thanks I understand now ty

void crest Sep 30, 2022, 6:00 AM

#

holoApple

#

np

final saddleBOT Sep 30, 2022, 6:10 AM

#

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thick estuary Sep 30, 2022, 6:20 AM

#

can someone explain how to solve this one?

final saddleBOT Sep 30, 2022, 6:20 AM

#

thick estuary can someone explain how to solve this one?

thick estuary Sep 30, 2022, 6:21 AM

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im pretty sure im supposed to find the derivative of the function and then plug in 1 for x?

vale silo Sep 30, 2022, 6:22 AM

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first you can find derivative

thick estuary Sep 30, 2022, 6:22 AM

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yeah but I feel like I got it wrong

vale silo Sep 30, 2022, 6:22 AM

#

then sub x=1 into your y equation to find your y-coordinate

#

then substitute x and y coordinate to find C

#

in your tangent equation

thick estuary Sep 30, 2022, 6:22 AM

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I got as the derivative

vale silo Sep 30, 2022, 6:22 AM

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oh wait

vale silo Sep 30, 2022, 6:22 AM

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vale silo then substitute x and y coordinate to find C

no need

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since they only want slope

thick estuary Sep 30, 2022, 6:23 AM

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vale silo no need

oh wait I remember that in the book

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ok just the slope tho

#

does the derivatrive look correct?

vale silo Sep 30, 2022, 6:24 AM

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looks okay to me

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but I’m doing it in my head

#

so idk HAHA

#

,w derivative of e^(-x) / x+1

thick estuary Sep 30, 2022, 6:25 AM

#

ok I got the answer its -3/4e

soft zealotBOT Sep 30, 2022, 6:25 AM

#

Results provided by WolframAlpha

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vale silo Sep 30, 2022, 6:25 AM

#

oops didn’t type correctly

thick estuary Sep 30, 2022, 6:25 AM

#

yeah when you plug in 1 you get -3/4e

vale silo Sep 30, 2022, 6:25 AM

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thick estuary yeah when you plug in 1 you get -3/4e

okay then it shd be the answer

thick estuary Sep 30, 2022, 6:25 AM

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vale silo okay then it shd be the answer

alr but

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ok

#

thanks

#

srry I was gonna say on the real test im not gonna be allowed a calculator but that doesnt really matter if im plugging in one

#

thanks for the help cya

#

.close

final saddleBOT Sep 30, 2022, 6:26 AM

#

Channel closed

Closed by @thick estuary

Use .reopen if this was a mistake.

vale silo Sep 30, 2022, 6:26 AM

#

no prob!

final saddleBOT Sep 30, 2022, 1:23 PM

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odd parrot Sep 30, 2022, 1:27 PM

#

final saddleBOT Sep 30, 2022, 1:27 PM

#

odd parrot

odd parrot Sep 30, 2022, 1:27 PM

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how do i approach this

#

ik its something to do with elimination

#

i cant figure out the equations needed

#

i have let x be the amount of 30%

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and y be the 50%

#

and x+y=5

#

but whats the second equation

final saddleBOT Sep 30, 2022, 1:46 PM

#

@odd parrot Has your question been resolved?

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icy ice Sep 30, 2022, 2:26 PM

#

final saddleBOT Sep 30, 2022, 2:26 PM

#

icy ice

icy ice Sep 30, 2022, 2:33 PM

#

<@&286206848099549185>

final saddleBOT Sep 30, 2022, 2:48 PM

#

@icy ice Has your question been resolved?

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tranquil pine Sep 30, 2022, 7:18 PM

#

why is this proof incorrect?

final saddleBOT Sep 30, 2022, 7:18 PM

#

tranquil pine why is this proof incorrect?

tranquil pine Sep 30, 2022, 7:23 PM

#

is it because it does induction in the wonrg order?

#

through circular logic

dusty harbor Sep 30, 2022, 7:25 PM

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because the base case is wrong

tranquil pine Sep 30, 2022, 7:33 PM

#

.close

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Channel closed

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tranquil pine Sep 30, 2022, 7:45 PM

#

why is this proof wrong

final saddleBOT Sep 30, 2022, 7:46 PM

#

tranquil pine why is this proof wrong

sinful orbit Sep 30, 2022, 7:48 PM

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how do you find a_2 using the base case and the recurrence

tranquil pine Sep 30, 2022, 7:49 PM

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sinful orbit how do you find a_2 using the base case and the recurrence

what?

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don't you prove that p(n) -> p(n+1)

grim nebula Sep 30, 2022, 7:49 PM

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the original proposition doesnt even make sense

#

whats a2?

sinful orbit Sep 30, 2022, 7:50 PM

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a_2 would be 4a_1 - 4a_0 but a_0 is ??

tranquil pine Sep 30, 2022, 7:50 PM

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oh yeah i see it now

#

theres another thing

grim nebula Sep 30, 2022, 7:50 PM

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and also

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even if they give a_0

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the proof is still wrong

tranquil pine Sep 30, 2022, 7:50 PM

#

#

these past two questions

#

i dont understand the structure of the proposition

#

in induction im usually given p(n) as a premise and am left on my own to forge a conclusion by making a base case and proving that p(n) -> p(n+1)

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but here im given a base case as a premise and p(n+1) and am asked to show that p(n)

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which makes no sense to me

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am i just reading it wrong

grim nebula Sep 30, 2022, 7:52 PM

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well youre misunderstanding

#

this is a definition of the recurrence

#

this is what you're trying to prove

#

the definition has nothing to do with the proposition

#

you could have just written

soft zealotBOT Sep 30, 2022, 7:54 PM

#

#

tranquil pine Sep 30, 2022, 7:55 PM

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oh so are propositions that invite induction just written weirdly

grim nebula Sep 30, 2022, 7:55 PM

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no its not written weirdly

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you're just not used to it

tranquil pine Sep 30, 2022, 7:55 PM

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where i prove the premises in the "if" part to show that the then is true

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aka just proving the base case and then proving that p(n) -> p(n+1)

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to show that p(n) is true

grim nebula Sep 30, 2022, 7:56 PM

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no

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you're trying to show that p(n) holds for all n

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so you show that p(k) -> p(k+1) for some arbitrary integer k

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and that p(base case) holds

tranquil pine Sep 30, 2022, 7:57 PM

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yeah ok i think i understand now

#

i was just confused about how the propositions were writtent

#

thanks

#

.close

final saddleBOT Sep 30, 2022, 7:57 PM

#

Channel closed

Closed by @young topaz

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final saddleBOT Sep 30, 2022, 10:13 PM

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novel bone Sep 30, 2022, 10:25 PM

#

What happened at the place i circled? 7x-3x=4x not -4x?

final saddleBOT Sep 30, 2022, 10:25 PM

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novel bone What happened at the place i circled? 7x-3x=4x not -4x?

wraith crater Sep 30, 2022, 10:26 PM

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It’s -7x -(-3x)

#

You got a minus sign in front

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And also a minus sign in front of 7x

novel bone Sep 30, 2022, 10:27 PM

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wraith crater And also a minus sign in front of 7x

a minus sign not a negative?

novel bone Sep 30, 2022, 10:27 PM

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wraith crater It’s -7x -(-3x)

so why would you make it a negative sign?

wraith crater Sep 30, 2022, 10:28 PM

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I’m not following

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What do you mean by a minus sign is not a negative

copper urchin Sep 30, 2022, 10:28 PM

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novel bone What happened at the place i circled? 7x-3x=4x not -4x?

Maybe it'll be more intuitive if you factored in the minus, and added the negative

rare cradle Sep 30, 2022, 10:29 PM

#

Minus sign and negative sign are the same thing

novel bone Sep 30, 2022, 10:30 PM

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rare cradle Minus sign and negative sign are the same thing

isnt minus like 4-3=1

rare cradle Sep 30, 2022, 10:30 PM

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Sure

novel bone Sep 30, 2022, 10:30 PM

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negative is below zero

rare cradle Sep 30, 2022, 10:30 PM

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negative is a word not a number

subtle solstice Sep 30, 2022, 10:30 PM

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4-3 is a fancy way of saying 4 + (-3)

rare cradle Sep 30, 2022, 10:30 PM

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Try to be precise

copper urchin Sep 30, 2022, 10:30 PM

#

x^2 - 7x
-(x^2 -3x)

is same as

x^2 - 7x
+(-x^2 + 3x)

#

-7x - (-3x) = -7x + 3x

novel bone Sep 30, 2022, 10:33 PM

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copper urchin x^2 - 7x -(x^2 -3x) is same as x^2 - 7x +(-x^2 + 3x)

It still isnt clear....

#

so if i see a minus sign I can just make it a negative?

#

@rare cradle

rare cradle Sep 30, 2022, 10:35 PM

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Idk what u mean by "make it a negative"

novel bone Sep 30, 2022, 10:36 PM

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rare cradle Idk what u mean by "make it a negative"

idk what I mean as well anymore lol

rare cradle Sep 30, 2022, 10:36 PM

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rare cradle Try to be precise

^

novel bone Sep 30, 2022, 10:36 PM

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rare cradle Idk what u mean by "make it a negative"

what did we do with the minus in my question

novel bone Sep 30, 2022, 10:36 PM

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rare cradle ^

wdym?

chrome cove Sep 30, 2022, 10:37 PM

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Did you see that minus too, yes?

novel bone Sep 30, 2022, 10:38 PM

#

chrome cove Did you see that minus too, yes?

if you distribute you get -x^2 + 3x

chrome cove Sep 30, 2022, 10:39 PM

#

Yeah, now add* x² - 7x + 12 to that
lol

novel bone Sep 30, 2022, 10:39 PM

#

lol

#

https://tenor.com/view/laugh-laughing-drink-and-laugh-drinking-laugh-rajabets-gif-22201520

Tenor

novel bone Sep 30, 2022, 10:40 PM

#

chrome cove Yeah, now add* x² - 7x + 12 to that lol

not add subtract right

rare cradle Sep 30, 2022, 10:40 PM

#

What happened

#

Loll

chrome cove Sep 30, 2022, 10:41 PM

#

So you have to do this
x² - 7x + 12 - (x² - 3x)

Do you agree?

novel bone Sep 30, 2022, 10:42 PM

#

chrome cove So you have to do this x² - 7x + 12 - (x² - 3x) Do you agree?

yes

harsh cove Sep 30, 2022, 10:42 PM

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novel bone What happened at the place i circled? 7x-3x=4x not -4x?

Do synthetic division

#

not long

novel bone Sep 30, 2022, 10:42 PM

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harsh cove Do synthetic division

why?

harsh cove Sep 30, 2022, 10:42 PM

#

it’s easier?

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faster?

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simpler?

chrome cove Sep 30, 2022, 10:42 PM

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chrome cove So you have to do this x² - 7x + 12 - (x² - 3x) Do you agree?

so the minus sign changes the signs in the parenthesis and you get
x² - 7x + 12 - x² + 3x

novel bone Sep 30, 2022, 10:42 PM

#

ive started long

novel bone Sep 30, 2022, 10:43 PM

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harsh cove faster?

thx annywayy

novel bone Sep 30, 2022, 10:43 PM

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chrome cove so the minus sign changes the signs in the parenthesis and you get x² - 7x + 12 ...

yes

chrome cove Sep 30, 2022, 10:44 PM

#

and that's where that -4x comes from (original question)

novel bone Sep 30, 2022, 10:45 PM

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chrome cove and that's where that -4x comes from (original question)

x^2-7x+12

#

-x^2+3x

novel bone Sep 30, 2022, 10:45 PM

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chrome cove and that's where that -4x comes from (original question)

i still get 4x

#

i do it vertically

chrome cove Sep 30, 2022, 10:45 PM

#

-7x + 3x thonkstein

novel bone Sep 30, 2022, 10:46 PM

#

chrome cove -7x + 3x <:thonkstein:586078664781725707>

-7x?

#

and +3x?

chrome cove Sep 30, 2022, 10:46 PM

#

x² - 7x + 12
__-x² +3x __

#

Sum those

novel bone Sep 30, 2022, 10:47 PM

#

0 -4x+12

#

but why -7x

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isnt it x^2 minus 7x

#

@chrome cove

chrome cove Sep 30, 2022, 10:48 PM

#

chrome cove x² - 7x + 12 __-x² +3x __

This thing is just x² - 7x + 12 - x² + 3x

novel bone Sep 30, 2022, 10:48 PM

#

yes

chrome cove Sep 30, 2022, 10:48 PM

#

I don't understand your question

novel bone Sep 30, 2022, 10:49 PM

#

chrome cove This thing is just x² - 7x + 12 - x² + 3x

oh no i didn't mean to say yes lol

#

still dont get where -7x comes from

chrome cove Sep 30, 2022, 10:50 PM

#

chrome cove x² - 7x + 12 __-x² +3x __

sad_think Here you are just adding (or subtracting) things
with numbers only, (unrelated example)
45 -
22

Is the same as 45 - 22

Or (another unrelated example)
56 +
12
Is the same as 56 + 12

novel bone Sep 30, 2022, 10:51 PM

#

chrome cove <:sad_think:899608203736780821> Here you are just adding (or subtracting) things...

yes

#

lol

grim nebula Sep 30, 2022, 10:51 PM

#

the -7x is right there

novel bone Sep 30, 2022, 10:52 PM

#

grim nebula the -7x is right there

it isn't negative in front of it, it is a minus?

grim nebula Sep 30, 2022, 10:52 PM

#

what

#

what does this read?

novel bone Sep 30, 2022, 10:53 PM

#

7x

grim nebula Sep 30, 2022, 10:53 PM

#

im so confused

#

theres a - sign in front

#

why did you just drop it

novel bone Sep 30, 2022, 10:53 PM

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grim nebula theres a - sign in front

lol

#

um isnt it a x^2 MINUS 7x?

grim nebula Sep 30, 2022, 10:54 PM

#

yeah so?

#

its x^2 - 7x

#

so theres your -7x?

chrome cove Sep 30, 2022, 10:55 PM

#

adding and subtracting things is the same thing, it's all sums
4 - 2 is 4 + (-2)
If you have
x² - 7x, then it's x² + (-7x)

novel bone Sep 30, 2022, 10:55 PM

#

🤦‍♂️

#

thanks

#

so much

#

if you didn't help me I would have spent my whole life on a grade 5 thing lol

#

.close

final saddleBOT Sep 30, 2022, 10:57 PM

#

Channel closed

Closed by @novel bone

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final saddleBOT Oct 1, 2022, 6:12 PM

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granite turtle Oct 1, 2022, 6:23 PM

#

Hi I'm supposed to find the slope of the tangent line using implicit derivitive of:

final saddleBOT Oct 1, 2022, 6:23 PM

#

granite turtle Hi I'm supposed to find the slope of the tangent line using implicit derivitive ...

granite turtle Oct 1, 2022, 6:25 PM

#

It's D3 and i have started the process of finding the derivitive but i feel like im doing it wrong

#

In short, how do i do implicit differentiation right? and then apply that to finding the slope

final saddleBOT Oct 1, 2022, 6:42 PM

#

@granite turtle Has your question been resolved?

granite turtle Oct 1, 2022, 7:00 PM

#

<@&286206848099549185>

final saddleBOT Oct 1, 2022, 7:30 PM

#

@granite turtle Has your question been resolved?

final saddleBOT Oct 1, 2022, 8:30 PM

#

@granite turtle Has your question been resolved?

final saddleBOT Oct 1, 2022, 10:31 PM

#

@granite turtle Has your question been resolved?

final saddleBOT Oct 2, 2022, 2:32 AM

#

@granite turtle Has your question been resolved?

naive spire Oct 2, 2022, 3:20 AM

#

what's the question?

humble panther Oct 2, 2022, 3:22 AM

#

naive spire what's the question?

what he said

humble panther Oct 2, 2022, 3:22 AM

#

granite turtle Hi I'm supposed to find the slope of the tangent line using implicit derivitive ...

this

granite turtle Oct 2, 2022, 4:29 AM

#

.close

final saddleBOT Oct 2, 2022, 4:29 AM

#

Channel closed

Closed by @granite turtle

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ebon dew Oct 2, 2022, 4:29 AM

#

:(

final saddleBOT Oct 2, 2022, 4:30 AM

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strange spire Oct 2, 2022, 4:36 AM

#

How can I solve for x in this case?

final saddleBOT Oct 2, 2022, 4:36 AM

#

strange spire How can I solve for x in this case?

strange spire Oct 2, 2022, 4:36 AM

#

#

I can't seem to get past simplying it to [ 3 ^x = (3^3) * (3^1/2) ]

final saddleBOT Oct 2, 2022, 4:52 AM

#

@strange spire Has your question been resolved?

subtle solstice Oct 2, 2022, 4:56 AM

#

strange spire

what is 3^3 * 3^1/2

#

you did the actually hard part this is just simple exponent rule

gleaming bramble Oct 2, 2022, 4:58 AM

#

,rotate

soft zealotBOT Oct 2, 2022, 4:59 AM

#

strange spire Oct 2, 2022, 5:05 AM

#

subtle solstice you did the actually hard part this is just simple exponent rule

Oh. I guess I was blanking on the adding a whole number to a fraction part and that was making it seem like I had gone the wrong route

#

Thanks for that! 🙂

#

How do I close this? 😄

subtle solstice Oct 2, 2022, 5:07 AM

#

.close

strange spire Oct 2, 2022, 5:07 AM

#

.close

final saddleBOT Oct 2, 2022, 5:07 AM

#

Channel closed

Closed by @strange spire

Use .reopen if this was a mistake.

strange spire Oct 2, 2022, 5:07 AM

#

thanks

subtle solstice Oct 2, 2022, 5:07 AM

#

np

final saddleBOT Oct 2, 2022, 5:08 AM

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#

formal harbor Oct 2, 2022, 5:16 AM

#

unfortunately we cannot help you with your addictions

#

<@&268886789983436800> r

opaque ember Oct 2, 2022, 5:17 AM

#

ty

#

.close

final saddleBOT Oct 2, 2022, 5:17 AM

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gray harness Oct 2, 2022, 5:31 AM

#

Hey guys

final saddleBOT Oct 2, 2022, 5:31 AM

#

gray harness Hey guys

gray harness Oct 2, 2022, 5:31 AM

#

Can someone please help me out with Euler's formula?

#

How do I get this to this?

#

#

final saddleBOT Oct 2, 2022, 5:47 AM

#

@gray harness Has your question been resolved?

final saddleBOT Oct 2, 2022, 6:22 AM

#

@gray harness Has your question been resolved?

final saddleBOT Oct 2, 2022, 7:28 AM

#

@gray harness Has your question been resolved?

gray harness Oct 2, 2022, 7:58 AM

#

.close

final saddleBOT Oct 2, 2022, 7:58 AM

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sudden osprey Oct 2, 2022, 9:27 AM

#

Can I get the line in some other from out of this? or if someone wants to just give the answer that would be great too

final saddleBOT Oct 2, 2022, 9:27 AM

#

sudden osprey Can I get the line in some other from out of this? or if someone wants to just g...

tired walrus Oct 2, 2022, 9:29 AM

#

what other form are you looking for?

#

the exercise as-written is, in some sense, lying to you about these equations defining a line. this isn't a straight line but rather a curve.
...not that it stops you being able to find the intersections thereof with that plane, but still.

sudden osprey Oct 2, 2022, 9:39 AM

#

tired walrus what other form are you looking for?

I

#

I'm not sure anymore

scarlet sequoia Oct 2, 2022, 9:43 AM

#

you know the form of the points on the line (which is not exactly a line but whatever):
x = -3t + 5 ; y = t + 2 ; z = t^2 + 5.
So anywhere on the line, x - 2y + z = ?

sudden osprey Oct 2, 2022, 9:45 AM

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scarlet sequoia you know the form of the points on the line (which is not exactly a line but wha...

form of the points?

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.close

final saddleBOT Oct 2, 2022, 9:57 AM

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thorny barn Oct 2, 2022, 10:01 AM

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c = 30, r = 6. Calculate the perimeter

final saddleBOT Oct 2, 2022, 10:01 AM

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thorny barn c = 30, r = 6. Calculate the perimeter

final tangle Oct 2, 2022, 10:05 AM

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what's c supposed to represent

final saddleBOT Oct 2, 2022, 10:16 AM

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@thorny barn Has your question been resolved?

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frank swift Oct 2, 2022, 11:53 AM

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Hi.. another question.
I'm very unfamiliar with the idea of complex logarithms except for the basic knowledge of the formula.
Trying to find the calculations for ln(i), the only proof I can find so far is one using Euler's identity. Is it possible to prove complex logarithms without it?

final saddleBOT Oct 2, 2022, 11:53 AM

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frank swift Hi.. another question. I'm very unfamiliar with the idea of complex logarithms e...

inland bison Oct 2, 2022, 11:56 AM

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prove complex logarithms?

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it's not really something you can prove, because it is a definition

frank swift Oct 2, 2022, 11:57 AM

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perhaps explain is a better word? as in explain how the application of ln(i) produces its result

inland bison Oct 2, 2022, 11:58 AM

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well firstly, ln(i) usually is preferred to as a weird notation, since natural log is only defined for positive real numbers. So this is where we would introduce the complex logarithms

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the idea of this is to just have it as an inverse of the complex exponential funciton

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but one problem is that, the complex exponential function is a single-valued function, its inverse on the other hand would be a multi-valued function if we dont put on a bound for the argument

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so thats just why, it's because e^(z) may produce one unique complex number w, for infinitely many z. The inverse of this, ie log(z) produces a tons of numbers for just one value

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now how the the derivation for log(z)=ln(r)+itheta came can be explained by the idea that we want an inverse, so this inverse when composed with the exponential function, i.e e^(z) gives us back z

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so lets just give it a new notation, which in this case is log

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now note that z can be represented as re^(itheta+2kpi) where r is the magnitude of z and theta is the principal argument of z, k is any integers

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then $\log(z)=\log\left(re^{i(\theta+2k\pi)}\right) = ln(r)+i(\theta +2kpi)$

soft zealotBOT Oct 2, 2022, 12:06 PM

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waler

inland bison Oct 2, 2022, 12:06 PM

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this is the multivalued representation of the complex log funciton

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for the principal branch, just set k=0

soft zealotBOT Oct 2, 2022, 12:08 PM

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waler

final saddleBOT Oct 2, 2022, 12:13 PM

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@frank swift Has your question been resolved?

frank swift Oct 2, 2022, 12:16 PM

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thank you !

final saddleBOT Oct 2, 2022, 12:16 PM

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worthy stag Oct 2, 2022, 12:43 PM

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is 2^3(2^4) = 2^7 or 2^12?

final saddleBOT Oct 2, 2022, 12:43 PM

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worthy stag is 2^3(2^4) = 2^7 or 2^12?

fathom tapir Oct 2, 2022, 12:44 PM

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2^7

worthy stag Oct 2, 2022, 12:44 PM

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ok

final saddleBOT Oct 2, 2022, 12:59 PM

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final saddleBOT Oct 2, 2022, 7:03 PM

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rapid island Oct 2, 2022, 7:08 PM

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final saddleBOT Oct 2, 2022, 7:08 PM

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rapid island

tranquil pine Oct 2, 2022, 7:08 PM

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So i need

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Help

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Oh sorry wrong channel

rapid island Oct 2, 2022, 7:08 PM

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Lol you're good.

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Anyways, guys, this is an improper integral problem.

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I used an U sub for e^3x

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and it doesn't seem to work

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Turns out it diverges but my Wolfram Alpha calculation says it converges to pi/6

tranquil pine Oct 2, 2022, 7:10 PM

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Its equal

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Pi/6

rapid island Oct 2, 2022, 7:10 PM

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Yeah, but not sure how to get there.

tranquil pine Oct 2, 2022, 7:11 PM

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U Will use this

rapid island Oct 2, 2022, 7:12 PM

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so split the integral into two parts?

tranquil pine Oct 2, 2022, 7:12 PM

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Yes

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Im not sure Tho

rapid island Oct 2, 2022, 7:13 PM

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tranquil pine Oct 2, 2022, 7:13 PM

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And after i Think

rapid island Oct 2, 2022, 7:13 PM

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Hm

tranquil pine Oct 2, 2022, 7:13 PM

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No not b

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Its 0

rapid island Oct 2, 2022, 7:13 PM

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Would you use U sub for this

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why is it 0

tranquil pine Oct 2, 2022, 7:13 PM

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No

tranquil pine Oct 2, 2022, 7:14 PM

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rapid island why is it 0

Look at the interval

rapid island Oct 2, 2022, 7:14 PM

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Hm

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so 1+e^6x is clearly greater than 0

tranquil pine Oct 2, 2022, 7:15 PM

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Anyway u Will use integral

rapid island Oct 2, 2022, 7:15 PM

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the denominator

tranquil pine Oct 2, 2022, 7:15 PM

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Defined integral

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And limite

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Sorry i study maths in French

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So thats hard to explain

rapid island Oct 2, 2022, 7:16 PM

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It's okay man

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Lol

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I appreciate it anyway

tranquil pine Oct 2, 2022, 7:16 PM

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Im not a man

rapid island Oct 2, 2022, 7:16 PM

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Are u in calc 2 as well?

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calculus 2

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Ah ok

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Sorry

tranquil pine Oct 2, 2022, 7:17 PM

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No im in Hugh school

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High

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The

rapid island Oct 2, 2022, 7:17 PM

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Okay got you

tranquil pine Oct 2, 2022, 7:17 PM

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Idk im 15 yo

rapid island Oct 2, 2022, 7:18 PM

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Ok so anyways.. do you know how to solve my improper integral

tranquil pine Oct 2, 2022, 7:18 PM

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Yes i Know

rapid island Oct 2, 2022, 7:19 PM

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I split it into 2 parts like the picture I'm going to show you.

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tranquil pine Oct 2, 2022, 7:20 PM

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So to to evaluate the improper integral rewrite it using a limit and a definite integral

rapid island Oct 2, 2022, 7:21 PM

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Like this?

tranquil pine Oct 2, 2022, 7:22 PM

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Yes i think so

rapid island Oct 2, 2022, 7:22 PM

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Ok

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then how do i evaluate the integral

tranquil pine Oct 2, 2022, 7:24 PM

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U Will calculate the indefinite integral

rapid island Oct 2, 2022, 7:25 PM

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Ok so when you calculate the indefinite integral of it, you use the U-substitution right?

tranquil pine Oct 2, 2022, 7:26 PM

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Yes

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Or the t

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Do u get it ?

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The t substitution

rapid island Oct 2, 2022, 7:27 PM

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Yeah almost

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Hold on

tranquil pine Oct 2, 2022, 7:28 PM

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U should have this

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rapid island Oct 2, 2022, 7:28 PM

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how does it look like

tranquil pine Oct 2, 2022, 7:30 PM

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No

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Thats not how u do it

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Kimchi are u stupide

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Stupid

rapid island Oct 2, 2022, 7:33 PM

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Um what

final saddleBOT Oct 2, 2022, 7:48 PM

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@rapid island Has your question been resolved?

tranquil pine Oct 2, 2022, 7:51 PM

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Kimchi do u need help Again ?

final saddleBOT Oct 2, 2022, 8:03 PM

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near turret Oct 2, 2022, 8:08 PM

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i have tried substituting the second equation into the first to find their intersection however i am confused as to where the (2k-1)x comes from in the given equation

final saddleBOT Oct 2, 2022, 8:08 PM

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near turret i have tried substituting the second equation into the first to find their inter...

near turret Oct 2, 2022, 8:09 PM

#

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equations are: y=2x^2-x-1, y=k(2x-3), 2x^2-(2k+1)x+3k-1=0

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what i get is 2x^2-x-1-2kx+3k

soft zealotBOT Oct 2, 2022, 8:12 PM

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vale silo Oct 2, 2022, 8:15 PM

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near turret what i get is 2x^2-x-1-2kx+3k

yes

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just need to factor x and a negative out

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look at your -2kx-x

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you can write as -x(2k+1)

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which is -(2k+1)x

near turret Oct 2, 2022, 8:17 PM

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wow im fucking blind, 3 months off and im fried

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cheers for the help mate

vale silo Oct 2, 2022, 8:17 PM

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HAHA it’s okay

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no prob!

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holoYay

near turret Oct 2, 2022, 8:17 PM

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.close

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muted brook Oct 2, 2022, 8:22 PM

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final saddleBOT Oct 2, 2022, 8:22 PM

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muted brook

muted brook Oct 2, 2022, 8:23 PM

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Am I correct to say this should be 3?

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Since A + B is 14

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And they want the complement

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wraith crater Oct 2, 2022, 8:23 PM

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Yeah I think so

muted brook Oct 2, 2022, 8:23 PM

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Also I was wondering why this one is true

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I put in false

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Last time but it said it was incorrect but did not give an explanation

wraith crater Oct 2, 2022, 8:26 PM

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5 is a member not the set of 5

muted brook Oct 2, 2022, 8:27 PM

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wraith crater 5 is a member not the set of 5

Ah

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Makes sense

sonic gulch Oct 2, 2022, 8:28 PM

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${5}\subset {1,2,3,4,5}$

soft zealotBOT Oct 2, 2022, 8:28 PM

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black_tea

muted brook Oct 2, 2022, 8:32 PM

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👌

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.close

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#

fallow wren Oct 2, 2022, 8:36 PM

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wooo

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to long

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in the second last numerator you have -1+1 it isn't ?

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sorry but you can say it is zero from the start i think..

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the function is continuous in -1

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lol

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its continuous in the domain (-.inf, -1]u(1,+inf)

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so just plug in -1

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sorry

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i am tired..i say it wrong

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the domani is (-.inf, -1)u(1,+inf)

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so you can t simply plug in

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its wrong because you see from the graph that the answer is 0

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ok lets try this:

inner spoke Oct 2, 2022, 8:46 PM

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What happened in the 4th step

fallow wren Oct 2, 2022, 8:47 PM

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$\lim \frac{x+1}{\sqrt{x^2-1}}=\lim -\sqrt{\frac{x+1}{{x^2-1}}}=\lim -\sqrt{\frac{(x+1)^2}{(x+1)(x-1)}}$

inner spoke Oct 2, 2022, 8:48 PM

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If i were u id do lhopital from the start

fallow wren Oct 2, 2022, 8:49 PM

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now just simplify and it should be trivial

soft zealotBOT Oct 2, 2022, 8:51 PM

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everg

steel hill Oct 2, 2022, 8:52 PM

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Shouldn’t the x+1 under the root be squared?

final saddleBOT Oct 2, 2022, 8:58 PM

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@astral sleet Has your question been resolved?

fallow wren Oct 2, 2022, 9:10 PM

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yes ikea

final saddleBOT Oct 2, 2022, 9:13 PM

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vale python Oct 2, 2022, 10:11 PM

#

I’m not sure how to go about writing this proof. I need to prove that m must be a prime number for mod m in order to have k=(m-1)/2, where k is the number of elements in the set D, and D is the set of nonzero squares of the elements of mod m

final saddleBOT Oct 2, 2022, 10:11 PM

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vale python I’m not sure how to go about writing this proof. I need to prove that m must be ...

#

@vale python Has your question been resolved?

final saddleBOT Oct 2, 2022, 10:59 PM

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@vale python Has your question been resolved?

final saddleBOT Oct 3, 2022, 12:21 AM

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@vale python Has your question been resolved?

muted prairie Oct 3, 2022, 12:59 AM

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number of squares mod m hmm

muted prairie Oct 3, 2022, 1:02 AM

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vale python I’m not sure how to go about writing this proof. I need to prove that m must be ...

if you know group theory you can look at the group of equivalence classes from 1 to m-1 under multiplication

#

then the answer follows from lagrange's theorem

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exotic ether Oct 3, 2022, 1:41 AM

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final saddleBOT Oct 3, 2022, 1:41 AM

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exotic ether

exotic ether Oct 3, 2022, 1:55 AM

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.close

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exotic ether Oct 3, 2022, 1:55 AM

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.reopen

final saddleBOT Oct 3, 2022, 1:55 AM

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✅

exotic ether Oct 3, 2022, 2:08 AM

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<@&286206848099549185>

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help please

final saddleBOT Oct 3, 2022, 2:27 AM

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@exotic ether Has your question been resolved?

exotic ether Oct 3, 2022, 2:41 AM

#

<@&286206848099549185>

#

<@&286206848099549185>

exotic ether Oct 3, 2022, 3:03 AM

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<@&286206848099549185>

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nvm.

final saddleBOT Oct 3, 2022, 3:35 AM

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@exotic ether Has your question been resolved?

final saddleBOT Oct 3, 2022, 4:05 AM

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