latex

[zinc glade]

,help

[solid oriole]

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

[cursive elm]

(y = mx + c)

[solid oriole]

adjectivenoun

[cursive elm]

(\frac{160}{\pi + 4})

[solid oriole]

adjectivenoun

[solid oriole]

skySLAYER

[solid oriole]

EminemSomething

[solid oriole]

skySLAYER

$X= \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

[solid oriole]

Syphrix7

[mental basalt]

,list

[solid oriole]

My commands!

Use ,ls to obtain a briefer listing, and use ,help <cmd>to view detailed help for a particular command, or ,help to view general help.

If you still have questions, talk to our friendly support team here.

LaTeX Rendering

Render LaTeX code and configure rendering options.
​ ​ ​ ​ ​ ​ ​ ​ ​ ​ tex: Render LaTeX code.
​ ​ ​ ​ ​ ​ ​ ​ ​ ctan: Searches the ctan
​ ​ ​ ​ ​ ​ ​ texdoc: Searches the texdoc
​ ​ ​ ​ ​ ​ autotex: Toggle whether your LaTeX is automatically rendered.
​ ​ ​ ​ ​ preamble: View or modify your LaTeX preamble.
​ ​ ​ ​ texconfig: View or modify your personal LaTeX rendering options.
guildpreamble: View or modify the guild's default LaTeX preamble

Guild Admin

Guild administration
​ ​ ​ ​ ​ ​ ​ ​ config: View and set the guild configuration.
​ ​ ​ ​ ​ ​ ​ ​ rmrole: Deletes the provided role
​ ​ ​ ​ ​ ​ ​ disable: Disable commands in this guild.
​ ​ ​ ​ ​ ​ editrole: Create or edit a server role.
​ ​ ​ ​ ​ autoclean: Automatic deletion of messages in the current channel.
forgetrolesfor: Forget stored persistent roles for one or all members.

Page 1/4

[cerulean kayak]

,tex balls

[solid oriole]

STOOPUD MAN

[cerulean kayak]

sheeesh

[floral topaz]

(a = 3b)

,, \text {dude}

[solid oriole]

Dude1

[quartz hound]

$$/3*4/$$

[solid oriole]

saucyxavier

[next spindle]

,tex cock and balls

[solid oriole]

Bloorbg

[next spindle]

heh

[zinc glade]

$\text{Suck Deez Nuts}$

[solid oriole]

skySLAYER

[heady horizon]

,tex ligma

[solid oriole]

! Альвувки

[golden matrix]

Hello

,tex hello

[solid oriole]

greenfalcon

[onyx finch]

,tex chill

[solid oriole]

DageniusDaren

[onyx finch]

,tex out

[solid oriole]

DageniusDaren

[onyx finch]

,tex please

[solid oriole]

DageniusDaren

[onyx finch]

,tex thanks

[solid oriole]

DageniusDaren

[solid oriole]

zephr0n

[simple orchid]

,Tex suck Deez nuts

[solid oriole]

Codeblocks found, but no LaTeX codeblocks!
Please write your codeblocks as follows.
```tex
code
```

May 20, 2022, 4:50 PM

[simple orchid]

How does this work?

,tex suck Deez nuts

[solid oriole]

zephr0n

[hybrid badger]

,tex weirdo

[solid oriole]

Rider

[simple orchid]

.

[simple orchid]

.

[atomic smelt]

,tex lol

[solid oriole]

anonymouseeee8080

[onyx finch]

,tex stop

[solid oriole]

DageniusDaren

[onyx finch]

,tex s= ut + 1/2 at^2

[solid oriole]

DageniusDaren

s= ut + 1/2 at^2
```Compilation error:```! Missing $ inserted.
<inserted text> 
                $
l.57 s= ut + 1/2 at^
                    2
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

LaTeX Font Info:    Calculating math sizes for size <14> on input line 57.
LaTeX Font Info:    Trying to load font information for U+msa on input line 57.```

[onyx finch]

[golden matrix]

Sky slayer is cool

,tex cool as shit

[solid oriole]

greenfalcon

[sullen stirrup]

,tex xue hua piao piao/bei feng xiao xiao

[solid oriole]

Sheeeesh

$X= \frac{dababy sussy amogus school}{Xue hua piao piao bei feng xiao xiao}$

Sheeeesh

$\frac {when z impooster is sus}{say invented without n}$

[sullen stirrup]

$\frac{sus}{sus}=\frac{sus}{sus}$

[solid oriole]

Sheeeesh

[onyx finch]

,tex erase

[solid oriole]

DageniusDaren

[unkempt bolt]

,tex xD

[solid oriole]

Control X

[unkempt bolt]

$$\frac{Among}{Us} \neq \frac{Imposter}{Pasta} \neq Big + Brain$$

[solid oriole]

Control X

[unique vine]

,help

[solid oriole]

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

[onyx finch]

,tex Physics

[solid oriole]

DageniusDaren

[onyx finch]

,tex

[solid oriole]

DageniusDaren

[onyx finch]

,tex +

[solid oriole]

DageniusDaren

[onyx finch]

,tex + +

[solid oriole]

DageniusDaren

[ruby cipher]

,tex idk what to do here

[solid oriole]

_cfspring

[solid oriole]

єאץɭเא

[heady horizon]

,tex daddy chill

[solid oriole]

! Альвувки

[onyx finch]

,tex no homo

[solid oriole]

DageniusDaren

[grizzled pine]

,tex Znotes

[solid oriole]

VeteranGhostRaider🇮🇳

[heady horizon]

,tex is

[solid oriole]

! Альвувки

[onyx finch]

,tex good

[solid oriole]

DageniusDaren

[violet pecan]

,tex !

[solid oriole]

𝕵𝖚𝖉𝖊 𝕯𝖚𝖆𝖗𝖙𝖊 ඞ

[heady horizon]

,tex better than

[solid oriole]

! Альвувки

[patent forum]

,tex minimum

[solid oriole]

EYW Gaming

[solid oriole]

Codeblocks found, but no LaTeX codeblocks!
Please write your codeblocks as follows.
```tex
code
```

May 27, 2022, 11:02 PM

єאץɭเא

[cerulean steppe]

\frac{1}{2}
\\ hello

[solid oriole]

Pt

\frac{1}{2}
\\ hello
```Compilation error:```! Missing $ inserted.
<inserted text> 
                $
l.57 \frac{1}{2}
                
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.

LaTeX Font Info:    Calculating math sizes for size <14> on input line 57.
LaTeX Font Info:    Trying to load font information for U+msa on input line 57.```

[onyx finch]

,tex

[solid oriole]

DageniusDaren

[zinc glade]

$BC=AD\
\
\
For(BC),B(-5,8)\
y=mx+C, \quad y=8, m=1, x=-5\
8=1(-5)+C, find(C)\
8+5=C\
C=13\
y=x+13\
\
\
\
\vec{BC}=\vec{AD}
\
\vec{BC}=\left(\begin{array}{c} -a\
-b\
\end{array}\right)\
\
\vec{BC}=\sqrt{(-a)^2+(-b)^2)}=\sqrt{8}\
a^2+b^2=8\
\
\
B(-5,8)\
C(X,Y)=C(-5-a, 8-b)\
X=-5-a\
Y=8-b|
BC; Y=X+13\
8-b=-5-a+13\
a-b=0\
\
\
a-b=0\
b=a\
a^2+b^2=8\
a^2+(a)^2=8\
2a^2=8\
\frac{2a^2}{2}=\frac{8}{2}\
\
\sqrt{a^2}=\sqrt{4}\
a=2\
\
a=b\
2=b\
\
\
A(7, 2)\
D=(X, Y)=D(7-a, 2-b)\
X=7-a\
X=7-2\
X=5\
\
Y=2-b\
Y=2-2\
Y=0\
\
\
\
D(5,0)$

[solid oriole]

skySLAYER

[zinc glade]

$A=\sqrt{s(s-a)(s-b)(s-c)}\
Where:s=\frac{a+b+c}{2}\$

[solid oriole]

skySLAYER

[floral topaz]

,tex y=mx+C

[solid oriole]

y=mx+c

[patent forum]

,tex A bo'l Ou' Wotah.

[solid oriole]

EYW Gaming

[grizzled pine]

💀

[solid venture]

,help

[solid oriole]

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

[solid venture]

,help cmd

[solid oriole]

You really shouldn't take it literally :upside_down:. Please type ,help ping, for example!
The full command list may be found using ,list.

[solid venture]

Oh ffs

I'm an idiot

,help

[solid oriole]

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

[solid venture]

,list

[solid oriole]

My commands!

Use ,ls to obtain a briefer listing, and use ,help <cmd>to view detailed help for a particular command, or ,help to view general help.

If you still have questions, talk to our friendly support team here.

LaTeX Rendering

Render LaTeX code and configure rendering options.
​ ​ ​ ​ ​ ​ ​ ​ ​ ​ tex: Render LaTeX code.
​ ​ ​ ​ ​ ​ ​ ​ ​ ctan: Searches the ctan
​ ​ ​ ​ ​ ​ ​ texdoc: Searches the texdoc
​ ​ ​ ​ ​ ​ autotex: Toggle whether your LaTeX is automatically rendered.
​ ​ ​ ​ ​ preamble: View or modify your LaTeX preamble.
​ ​ ​ ​ texconfig: View or modify your personal LaTeX rendering options.
guildpreamble: View or modify the guild's default LaTeX preamble

Guild Admin

Guild administration
​ ​ ​ ​ ​ ​ ​ ​ config: View and set the guild configuration.
​ ​ ​ ​ ​ ​ ​ ​ rmrole: Deletes the provided role
​ ​ ​ ​ ​ ​ ​ disable: Disable commands in this guild.
​ ​ ​ ​ ​ ​ editrole: Create or edit a server role.
​ ​ ​ ​ ​ autoclean: Automatic deletion of messages in the current channel.
forgetrolesfor: Forget stored persistent roles for one or all members.

Page 1/4

[sturdy sable]

,tex d/dx (x) = 1

[solid oriole]

EminemSomething

[sturdy sable]

Ehh

[solid oriole]

Pt

[solid oriole]

GamingMatrixes

[solid oriole]

! Альвувки

zephron

[solid oriole]

EminemSomething

zephron

EminemSomething

zephron

[solid oriole]

pgf

[solid oriole]

EYW Gaming

zephron

[cursive elm]

\begin{align*}
\text{assume}\enspace A \Longrightarrow (-4; 1)\
B \Longrightarrow (2; \enspace 4) \
C \Longrightarrow (6; -2)

\end{align*}

\noindent
\begin{tabular}{rl}
&\overline{AB} = \sqrt{45} \
&\overline{AC} = \sqrt{109} \
&\overline{BC} = \sqrt{52}
\end{tabular}

[solid oriole]

adjectivenoun

\begin{align*}
\text{assume}\enspace A \Longrightarrow (-4; 1)\\
B \Longrightarrow (2; \enspace 4) \\
C \Longrightarrow (6; -2)

\end{align*}

\noindent
\begin{tabular}{rl}
  &\overline{AB} = \sqrt{45} \\ 
  &\overline{AC} = \sqrt{109} \\
  &\overline{BC} = \sqrt{52}
\end{tabular}
```Compilation error:```! Paragraph ended before \align* was complete.
<to be read again> 
                   \par 
l.61 
     
I suspect you've forgotten a `}', causing me to apply this
control sequence to too much text. How can we recover?
My plan is to forget the whole thing and hope for the best.```

[solid oriole]

Sheeeeeeeeeeeeeeeeeeeeeeeeeeeesh

[cursive elm]

\begin{align*}
\text{assume}\enspace A \Longrightarrow (-4; 1)\
B \Longrightarrow (2; \enspace 4) \
C \Longrightarrow (6; -2)

\begin{tabular}{rl}
&\overline{AB} = \sqrt{45} \
&\overline{AC} = \sqrt{109} \
&\overline{BC} = \sqrt{52}
\end{tabular}

\end{align*}

[solid oriole]

adjectivenoun

\begin{align*}
\text{assume}\enspace A \Longrightarrow (-4; 1)\\
B \Longrightarrow (2; \enspace 4) \\
C \Longrightarrow (6; -2)

\begin{tabular}{rl}
  &\overline{AB} = \sqrt{45} \\ 
  &\overline{AC} = \sqrt{109} \\
  &\overline{BC} = \sqrt{52}
\end{tabular}

\end{align*}
```Compilation error:```! Paragraph ended before \align* was complete.
<to be read again> 
                   \par 
l.61 
     
I suspect you've forgotten a `}', causing me to apply this
control sequence to too much text. How can we recover?
My plan is to forget the whole thing and hope for the best.```

[burnt summit]

Hello

||...why not working ||

[solid oriole]

notAnxiety

notAnxiety

[solid oriole]

Sheeeeeeeeeeeeeeeeeeeeeeeeeeeesh

[solid oriole]

notAnxiety

Ramen

[solid oriole]

notAnxiety

[solid oriole]

IsmailFateen
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[amber hedge]

,tex f my life

[solid oriole]

R45H1F

[amber hedge]

,tex better sleep than study

[solid oriole]

R45H1F

[solid oriole]

notAnxiety

[heady horizon]

,tex boorgir

[solid oriole]

! Альвувки

notAnxiety

[violet pecan]

,tex sosig

[solid oriole]

𝕵𝖚𝖉𝖊 𝕯𝖚𝖆𝖗𝖙𝖊 ඞ

[heady horizon]

,tex and bebsi

[solid oriole]

! Альвувки

[solid oriole]

єאץɭเא
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[solid oriole]

darkcurtains

[simple orchid]

,tex no

[solid oriole]

zephron

[prime rampart]

text , y=mx+c

tex , y=mx+c

,tex y=mx+c

[solid oriole]

Neutrino

[idle flume]

,tex y= ax^2 + bx + c

[solid oriole]

blu
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[prime rampart]

,Tex ax^2 + bx + c = 0

[solid oriole]

Codeblocks found, but no LaTeX codeblocks!
Please write your codeblocks as follows.
```tex
code
```

Jun 15, 2022, 1:57 AM

[neon siren]

,tex $\text{Taylor series expansion for } f(x) \ f(x) = f(a) + f'(a)(x - a) + \frac{f''(a)}{2!}(x-a)^2 + \cdots + \frac{f^{(n)}(a)}{n!}(x - a)^n \ \text{Maclaurin Series is Taylor series, where } a = 0. \text{Expansion:} \ f(x) = f(0) + f'(0)x + \frac{f''(0)}{2!}x^2 + \cdots + \frac{f^{(n)}(0)}{n!}x^n \\ \text{sin}(0) = 0, \text{cos}(0) = 1 \ \frac{d}{dx} \text{sin}(x) = \text{cos}(x), \frac{d}{dx} \text{cos}(x) = -\text{sin}(x) \ \text{Maclaurin of sin}(x)\text{:} \ \text{sin}(x) = \text{sin}(0) + \text{cos}(0)x + \frac{-\text{sin}(0)}{2!}x^2 + \frac{-\text{cos}(0)}{3!}x^3 + \frac{\text{sin}(0)}{4!}x^4 + \cdots \ \text{sin}(x) = 0 + 1x + \frac{0}{2!}x^2 + \frac{-1}{3!}x^3 + \frac{0}{4!}x^4 + \frac{1}{5!}x^5 + \cdots \ \text{sin}(x) = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \cdots$

[solid oriole]

Algortex

Algortex

[neon siren]

,tex $
{\huge \texttt{GIMME FREE NITRO PLZ BCUZ I WANT + I BROKE}}
$

[solid oriole]

Algortex

[neon siren]

,tex $\texttt{SUS}$

[solid oriole]

Algortex

[neon siren]

,tex $
\texttt{Please react with flag of your country}
$

[solid oriole]

Algortex

[neon siren]

,tex $\int{u(x)v'(x)} dx = u(x)v(x) - \int{u'(x)v(x)} dx$

[solid oriole]

Algortex

[heady horizon]

,tex help

[solid oriole]

Please use ,help tex for command help.

Jun 16, 2022, 12:38 PM

[heady horizon]

'-'

[solid oriole]

pgf

[solid oriole]

skySLAYER

[solid oriole]

skySLAYER

skySLAYER

[zinc glade]

$Y=\left(\frac{4500\sqrt{3}}{49}\right)\sqrt{3}-\frac{49}{9000}\cdot \left(\frac{4500\sqrt{3}}{49}\right)^2\
\
\
Y=\frac{13500}{49}-\frac{6750}{49}\
\
Y=\frac{6750}{49}\
\
\
\therefore Maximum\quad Height=\frac{6750}{49}$

[solid oriole]

skySLAYER

[zinc glade]

$y=x\sqrt{3}-\frac{49}{9000}x^2$

[solid oriole]

skySLAYER

[zinc glade]

\frac{\sqrt{3}}{2× - \frac{49}{9000}}\right)

$-\frac{49}{9000} \left(x+\frac{\sqrt{3}}{2× - \frac{49}{9000}}\right)$

[solid oriole]

skySLAYER

skySLAYER

[zinc glade]

$ax^2-bx+c=0\
\
X=\frac{b\pm \sqrt{b^2 - 4ac}}{2a}$

[solid oriole]

skySLAYER

[zinc glade]

$ax^2+bx+c=0\
\
X_2=\frac{-b\pm \sqrt{b^2 - 4ac}}{2a}$

[solid oriole]

skySLAYER

[zinc glade]

$\left(\frac{b}{2a}\pm \frac{\sqrt{b^2 - 4ac}}{2a}\right) -\left(\frac{-b}{2a}\pm \frac{\sqrt{b^2 - 4ac}}{2a}\right)=Y\
\
\
\frac{b}{2a}+\frac{b}{2a}=Y\
\
\
Y=\frac{2b}{2a}\
\
\
Y=\frac{b}{a}\$

Therefore the solutions of ax²-bx+c are an increase of b/a from the solutions of ax²+bx+c

[solid oriole]

skySLAYER

[heady horizon]

,tex big brain 🧠

[solid oriole]

kortuvor

[neon siren]

,tex \texttt{Please help me with YOLOv5 Object Detection}

[solid oriole]

Algortex

[neon siren]

,tex \texttt{I'm too ceebs to build an entire model}

[solid oriole]

Algortex

[neon siren]

,tex \text{sus}

[solid oriole]

Algortex

[tall saffron]

,help

[solid oriole]

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

[tall saffron]

,tex \text{test}

[solid oriole]

Alcoholic

[tall saffron]

,tex 7/8

[solid oriole]

Alcoholic

[tall saffron]

,tex \LaTeX{}

[solid oriole]

Alcoholic

[tall saffron]

$\frac{1}{4}$

[solid oriole]

Alcoholic

[tall saffron]

finally

x$^3$

[solid oriole]

Alcoholic

[tall saffron]

$x^{y^{z}}$

[solid oriole]

Alcoholic

[solid oriole]

IsmailFateen

[neon siren]

,tex \text{const SUS = require("SUS");}

[solid oriole]

Algortex

[wispy depot]

hi

hello

how are u all

[zinc glade]

Yo wasup

[wispy depot]

good

[zinc glade]

All g man wbu

[wispy depot]

very good

here it is raining so hard just injoying that

[zinc glade]

Nice

Here the sun is out man

It's hot during cold days 😑

[wispy depot]

no i mean last month temp was over 40C now less than 30C due to rain

[zinc glade]

Where u live if u don't mind me asking

[wispy depot]

pakistan

where u from?

[simple orchid]

,tex whatsup

[solid oriole]

zephr0n

[wispy depot]

there is curently very bad monsoon flooding in Bangladesh

[wispy depot]

good

[simple orchid]

Mian muneeb temp gonna go back to 40+ in few days

[wispy depot]

yes it might

but right now it is excelent

[simple orchid]

yeahh

[wispy depot]

there was very small monsoon last few years

[zinc glade]

$(3)\
36a+6(3)+c=6\
36a+18+c=6\
c=-12-36a\
\
(2)=(3)\
3-4a=-12-36a\
32a=-15
\
a=-\frac{15}{32}\
\
(2)\
c=3-4\left(-\frac{15}{32}\right)\
\
c=3+\frac{15}{8}\
\
c=\frac{39}{8}\
\
\
\
\therefore a=–\frac{15}{32}\
\
\therefore b=3\
\
\therefore c=\frac{39}{8}$

[wispy depot]

what is this

[solid oriole]

skySLAYER

[wispy depot]

ok understood

[zinc glade]

$(3)\
36a+6(3)+c=6\
36a+18+c=6\
c=-12-36a\
\
(2)=(3)\
3-4a=-12-36a\
32a=-15
\
a=-\frac{15}{32}\
\
(2)\
c=3-4\left(-\frac{15}{32}\right)\
\
c=3+\frac{15}{8}\
\
c=\frac{39}{8}\
\
\
\
\therefore a=–\frac{15}{32}\
\
\therefore b=3\
\
\therefore c=\frac{39}{8}$

[solid oriole]

skySLAYER

$(3)\\
36a+6(3)+c=6\\
36a+18+c=6\\
c=-12-36a\\
\\
(2)=(3)\\
3-4a=-12-36a\\
32a=-15
\\
a=-\frac{15}{32}\\
\\
(2)\\
c=3-4\left(-\frac{15}{32}\right)\\
\\
c=3+\frac{15}{8}\\
\\
c=\frac{39}{8}\\
\\
\\
\\
\therefore a=–\frac{15}{32}\\
\\
\therefore b=3\\
\\
\therefore c=\frac{39}{8}$

[zinc glade]

$(3)\
36a+6(3)+c=5\
36a+18+c=5\
c=-13-36a\
\
(2)=(3)\
3-4a=-13-36a\
32a=-16
\
a=-\frac{16}{32}=-\frac{1}{2}\
\
(2)\
c=3-4\left(-\frac{1}{2}\right)\
\
c=3+2\
\
c=5\
\
\
\therefore y=5+3x-\frac{1}{2}x^2$

[solid oriole]

skySLAYER

[solid oriole]

TechnicAli

[zinc glade]

$(1)+(2)\
(4a-2b+c)+(4a+2b+c)=-3+9\
2(4a+c)=6\
4a+c=3\hspace{2mm}(4)$

[solid oriole]

skySLAYER

[neon siren]

,tex \text{Sussy amogus}

[solid oriole]

Algortex

[solid oriole]

skySLAYER

[zinc glade]

$36+4x^4=25x^2\
4x^4-25x^2+36=0\
4(x^2)^2-25x^2+36=0\
\
Let\hspace{3mm}x^2=\beta\
4\beta ^2-25\beta +36=0\
4\beta ^2-16\beta -9\beta +36=0\
(4\beta -9)(\beta-4)=0\
\
\beta=4, \frac{9}{4}\
\
\
Since;\
x^2=\beta\
x^2=4\
x^2=\pm 2\
\
\
x^2=\frac{9}{4}\
\
x=\pm \frac{3}{2}\
\
\
\therefore x^2=\pm 2\
\
\therefore x=\pm \frac{3}{2}$

[solid oriole]

skySLAYER

[cursive elm]

$x(x^2-4)(-2-(x-3)^2) \leq 0$

$x(x^2-4)(-2-(x-3)^2) \leq 0$

\begin{align*}x(x^2-4)(-2-(x-3)^2) \leq 0

\begin{align*}x(x^2-4)(-2-(x-3)^2) \leq 0\end{align*}

[solid oriole]

adjectivenoun

[cursive elm]

@solid oriole help

[solid oriole]

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

[cursive elm]

$x(x^2-4)(-2-(x-3)^2) \leq 0 $

$ x(x^2-4)(-2-(x-3)^2) \leq 0 $

( x(x^2-4)(-2-(x-3)^2) \leq 0 )

[solid oriole]

adjectivenoun

[zinc glade]

$a_n=a+d(2n-1)\hspace{3mm}(1)\
\
S_n=\left(\frac{a_1+a_n}{2}\right)n\
\
\
\
25th\hspace{2mm}Term = 44.5\
44.5=a_1+24d\hspace{2mm}(1)\
\
\
S_{30}=765\
a_30=a+29d\
\
765=\left(\frac{a_1+a_{30}}{2}\right)30\
\
\
765=\left(\frac{a_1+a_1+29d}{2}\right)30\
\
765=(2a_1+29d)15\
51=2a_1+29d\hspace{2mm}(2)\
\
\
\
Solve\hspace{2mm} (1) \hspace{2mm}and \hspace{2mm}(2)\hspace{2mm} simultaneously:\
44.5=a_1+24d\
51=2a_1+29d\
\
2(44.5=a_1+24d)\
89=2a_1+48d\
\
ELIMINATION:\
89-51=2a_1+48d-(2a_1+29d)\
38=19d\
d=2\
\
44.5=a_1+24(2)\
a_1=-3.5\
\
\
Find\hspace{2mm} a_{16}:\
a_n=-3.5+2(n-1)\
a_{16}=-3.5+2(15)\
a_{16}=26.5\
\
\
\therefore a_{16}=26.5\$

[solid oriole]

skySLAYER

[solid oriole]

skySLAYER

[cursive elm]

,preamble

[solid oriole]

Akash Kumar

[tall saffron]

,tex \emph {Pain}

[solid oriole]

Alcoholic

[neon siren]

,tex \text{How are you able to see that}

[solid oriole]

Algortex

[zinc glade]

Press on the script like thing and ur code will be gone

But the results will remain

[solid oriole]

skySLAYER

skySLAYER

[zinc glade]

$y=\frac{2(x-5)}{\sqrt{x}+1}\
\
\frac{dy}{dx}=\frac{d}{dx}\left(\frac{(2x-10)}{\sqrt{x+1}}\right)\
\
\
\frac{d}{dx}(2x-10)=2\
\
\frac{d}{dx}(x+1)^{\frac{1}{2}}=\frac{1}{2}(x+1)^{\frac{1}{2}} \cdot \frac{d}{dx}(x+1)=\frac{1}{2}(x+1)^{\frac{-1}{2}}\
\
\
\
\frac{dy}{dx}=\frac{\left((x+1)^{\frac{1}{2}}\cdot 2-(2x-10)\cdot\frac{1}{2}(x+1)^{\frac{-1}{2}} \right)}{((x+1)^{\frac{1}{2}})^2}\
\
\
\frac{dy}{dx}=\frac{\left((x+1)^{\frac{1}{2}}\cdot 2-(2x-10)\cdot\frac{1}{2}(x+1)^{\frac{-1}{2}} \right)}{(x+1)}\
\
\
\frac{dy}{dx}=\frac{\left(2(x+1)^{\frac{1}{2}}-\left(\frac{x-5}{(x+1)^{\frac{1}{2}}}\right)\right)}{(x+1)}\
\
\
\frac{dy}{dx}=\frac{2(x+1)-(x-5)}{(x+1)(x+1)^{\frac{1}{2}}}\
\
\
\frac{dy}{dx}=\frac{x+7}{(x+1)^{\frac{3}{2}}}\
\
\
\
\frac{dy}{dx}=\frac{5}{4}\
\
\
\frac{dy}{dx}=\frac{x+7}{(x+1)^{\frac{3}{2}}}
\
\
\frac{5}{4}=\frac{x+7}{(x+1)^{\frac{3}{2}}}\
\
\
5((x+1)^{\frac{3}{2}}=4(x+7)\
(5\sqrt{(x+1)^3})^2=(4x+28)^2\
25(x+1)^3=16x^2+224x+784\
25x^3+75x^2+75x+25=16x^2+224x+784\
25x^3+59x^2-149x-759=0\
X=3\
\
\
y=\frac{2(x-5)}{\sqrt{x+1}}\
\
\
y=\frac{2(3-5)}{\sqrt{3+1}}\
\
\
y=\frac{-4}{\sqrt{4}}=\frac{-4}{2}
\
y=-2\
\
\
\therefore \hspace{2mm}Coordinates \hspace{2mm}of\hspace{2mm} a\hspace{2mm} point\hspace{2mm} when\hspace{2mm} m=\frac{5}{4}\hspace{2mm} are \hspace{2mm}(3,-2)$

[solid oriole]

skySLAYER

[vast stump]

$y=\frac{2(x-5)}{\sqrt{x}+1}

\frac{dy}{dx}=\frac{d}{dx}\left(\frac{(2x-10)}{\sqrt{x+1}}\right)


\frac{d}{dx}(2x-10)=2

\frac{d}{dx}(x+1)^{\frac{1}{2}}=\frac{1}{2}(x+1)^{\frac{1}{2}} \cdot \frac{d}{dx}(x+1)=\frac{1}{2}(x+1)^{\frac{-1}{2}}



\frac{dy}{dx}=\frac{\left((x+1)^{\frac{1}{2}}\cdot 2-(2x-10)\cdot\frac{1}{2}(x+1)^{\frac{-1}{2}} \right)}{((x+1)^{\frac{1}{2}})^2}


\frac{dy}{dx}=\frac{\left((x+1)^{\frac{1}{2}}\cdot 2-(2x-10)\cdot\frac{1}{2}(x+1)^{\frac{-1}{2}} \right)}{(x+1)}


\frac{dy}{dx}=\frac{\left(2(x+1)^{\frac{1}{2}}-\left(\frac{x-5}{(x+1)^{\frac{1}{2}}}\right)\right)}{(x+1)}


\frac{dy}{dx}=\frac{2(x+1)-(x-5)}{(x+1)(x+1)^{\frac{1}{2}}}


\frac{dy}{dx}=\frac{x+7}{(x+1)^{\frac{3}{2}}}



\frac{dy}{dx}=\frac{5}{4}


\frac{dy}{dx}=\frac{x+7}{(x+1)^{\frac{3}{2}}}


\frac{5}{4}=\frac{x+7}{(x+1)^{\frac{3}{2}}}


5((x+1)^{\frac{3}{2}}=4(x+7)
(5\sqrt{(x+1)^3})^2=(4x+28)^2
25(x+1)^3=16x^2+224x+784
25x^3+75x^2+75x+25=16x^2+224x+784
25x^3+59x^2-149x-759=0
X=3


y=\frac{2(x-5)}{\sqrt{x+1}}


y=\frac{2(3-5)}{\sqrt{3+1}}


y=\frac{-4}{\sqrt{4}}=\frac{-4}{2}

y=-2


\therefore \hspace{2mm}Coordinates \hspace{2mm}of\hspace{2mm} a\hspace{2mm} point\hspace{2mm} when\hspace{2mm} m=\frac{5}{4}\hspace{2mm} are \hspace{2mm}(3,-2)$

[solid oriole]

Madelyn

LaTeX source sent via direct message.

[vast stump]

test

[swift sigil]

,av @hearty notch

[solid oriole]

BraveGuys42#5303's Avatar

Click here to view the image.

[zinc glade]

Lol

It's supposed to be double slash while u r typing

But it'll show up as single slash

,av @fluid pawn

[solid oriole]

HenTie#4335's Avatar

Click here to view the image.

[vast stump]

ahhh i see

[solid oriole]

skySLAYER

Like this\\
$y=x+1\\
y-1=x\\
1=x-y$

[zinc glade]

@vast stump as u can see on the highlighted part above the image

[vast stump]

Yee thanks

[golden zenith]

Gave +1 rep to skySLAYER#2732

[zinc glade]

Difference Quotient(First Principles):\
$\
f(x)=\frac{4}{1-2x}\
\
\
f(x+h)=\frac{4}{1-2(x+h)}
\
\
f'(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}\
\
=\lim_{h\to 0}\frac{\frac{4}{1-2(x+h)}-\frac{4}{1-2x}}{h}\
\
\
=\lim_{h\to 0}\frac{\frac{4(1-2x)-4(1-2(x+h))}{(1-2(x+h))(1-2x)}}{h}\
\
\
=\lim_{h\to 0}\frac{4-8x-4+8x+8h}{h[(1-2(x+h))(1-2x)]}\
\
\
=\lim_{h\to 0}\frac{8h}{h[(1-2(x+h))(1-2x)]}\
\
\
=\lim_{h\to 0}\frac{8}{(1-2(x+h))(1-2x)}\
\
\
=\lim_{h\to 0}\frac{8}{(1-2(x+0))(1-2x)}=\lim_{h\to 0}\frac{8}{(1-2x)(1-2x)}\
\
\
=\lim_{h\to 0}\frac{8}{(1-2x)^2}\
\
\
\therefore f'(x)=\frac{8}{(1-2x)^2}$

[solid oriole]

skySLAYER

[solid oriole]

IsmailFateen

IsmailFateen

[prime rampart]

$y=mx+c

,tex y=mx+c

[solid oriole]

Neutrino

[solid oriole]

kortuvor

[solid oriole]

IsmailFateen

[cursive elm]

(\iint_{\mathds{R}^2} e^{-(x+y)^2} dy dx)

,preamble

,preamble

[solid oriole]

Your current preamble. Use ,texconfig to see the other LaTeX config options!

No custom user preamble set, using the default preamble.

% Required to support mathematical unicode
\usepackage[warnunknown, fasterrors, mathletters]{ucs}
\usepackage[utf8x]{inputenc}

% Always typeset math in display style
\everymath{\displaystyle}

% Use a larger font size
\usepackage[fontsize=14pt]{scrextend}

% Standard mathematical typesetting packages
\usepackage{amsfonts, amsthm, amsmath, amssymb}
\usepackage{mathtools}  % Extension to amsmath

% Symbol and utility packages
\usepackage{cancel, textcomp}
\usepackage[mathscr]{euscript}
\usepackage[nointegrals]{wasysym}

% Extras
\usepackage{physics}  % Lots of useful shortcuts and macros
\usepackage{tikz-cd}  % For drawing commutative diagrams easily
\usepackage{color}  % Add some colour to life
\usepackage{microtype}  % Minature font tweaks

% Common shortcuts
\def\mbb#1{\mathbb{#1}}
\def\mfk#1{\mathfrak{#1}}

\def\bN{\mbb{N}}
\def\bC{\mbb{C}}
\def\bR{\mbb{R}}
\def\bQ{\mbb{Q}}
\def\bZ{\mbb{Z}}

% Sometimes helpful macros
\newcommand{\func}[3]{#1\colon#2\to#3}

Page 1/2 · Jul 8, 2022, 11:28 PM

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[zinc glade]

,preamble

[cursive elm]

(\iint_{\mathds{R}^2} e^{-(x+y)^2} dy dx)

[solid oriole]

adjectivenoun

[cursive elm]

lessgo