## A guide to becoming a better person (on Slader). ## Overview

### How do I add a solution?

You must be registered to add a solution

Every exercise page provides the ability to upload your own solution. You can upload a photo of your solution or use our Equation Editor.

Using our Equation Editor usually provides for the best viewability of your solution. However, some users with rock star handwriting and diagram-drawing ability may prefer to upload an image of their solution.  ## Anatomy of a solution  ## Writing Solutions

### All solutions need:

The steps needed to reach the answer.

Some form of written explanation to describe how you achieved the steps.

### Please DO NOT repeat the problem statement from the textbook.

This is a copyright violation. All students looking at the math section of the website will already have the problem statement in their textbook.

### What makes a solution good?

A good solution provides a sufficient conceptual explanation with a detailed and easy-to-follow answer. For math and science problems, this typically involves providing a step-by-step solution with a written explanation explaining why each step shown is pertinent.

See the example below: ## Adding solutions via the IOS App

You can use the Slader app to upload a photo as a solution  Below find a list of tips for uploading quality solutions from the app:

• Make sure the solution paper is well-lit, but the writing is not washed out.
• Take a picture of only one solution at a time.
• Make sure the entire solution is visible in the picture.
• Align the top of the solution with the top of the picture.

## LaTeX Library

We currently display the most frequently used LaTex symbols on our Equation Editor. Even more buttons are coming soon, but here's a library of LaTeX symbols you might find useful. Use ''ctrl + F'' to search for a specific symbol. Remember to use dollar signs! To see what a symbol looks like, click on it and you'll be redirected to its mathurl generated image. If clicking on it does not work, it means that the mathurl image does not exist. For examples on how to use matrices and align functions, go to the end of the list.

### LaTex - Click to see

$sign \$
absolute value \left| a \right|
alpha \alpha
ampersand \&
and \vee
angle sign \angle
approximation (two tildes) \approx
arc \stackrel{\frown}{AB}
arc cosine \arccos
arc cotangent \arccot
arc sine \arcsin
arc tangent \arctan
beta \beta
congruent \cong
cosecant \csc
cosine \cos
cotangent \cot
cursive l \ell
degree symbol \textdegree
Delta \Delta
division \div
dot \cdot
dot dot dot \dots
double arrow \leftrightarrow
empty set \emptyset
equals sign with tilde \simeq
for every, for all \forall
fraction \dfrac{a}{b}
greater than \textgreater
greater than or equal to \geq
in \in
infinity \infty
-infinity -\infty
integers \mathbb{Z}
integral \int
integral from a to b \int_{a}^{b}
integral from blank to blank \int_{a}^{b}
integral over a closed path \oint{a}^{b}
integrate f from a to b \left[ f \right]_{a}^{b}
intersection \cap
iota - identity relation \imath
left braces \left\{
left bracket \left[
left parenthesis \left(
left/right braces \left\{ \right\}
left/right brackets \left[ \right]
left/right parentheses \left( \right)
less than \textless
less than or equal to \leq
limit with arrow \lim_{x \rightarrow a}{f}
line break \\
ln (natural log) \ln
ln equivalence \ln x^k = k \ln x
log \log
log base a \log_a x^k
log equivalence \log_a x^k = k \log_a x
long division (polynomials) \polylongdiv{x^3+x^2-1}{x-1}
mu \mu
multiplication \times
natural numbers \mathbb{N}
negation of \sim p
not congruent \ncong
not equal to \ne
not parallel \nparallel
not, negation \neg
notation for a line \overleftrightarrow{A}
or \wedge
over line; notation for a line segment & complement \overline{A}
parallel \parallel
partial derivative \partial x
percent \%
perpendicular \bot
pi \pi
plus or minus \pm
power set symbol \wp
predicate equivalence \equiv
prime \prime
product notation with limits \prod \limits_{i=1}^N x_i
proper subset \subset
proper superset \supset
rational numbers \mathbb{Q}
real numbers \mathbb{R}
right arrow \rightarrow
right braces \left. \right\}
right bracket \left. \right]
right parenthesis \left.\right)
right\left braces \left\{ a \right\}
right\left brackets \left[ a \right]
right\left parentheses \left( a \right)
secant \sec
sigma \sigma
similar to \sim
sine \sin
specific root \sqrt{x }
square \square ABCD
square root \sqrt{a}
strike-through-diagonal \cancel{}
subscript D_{x}
subset \subseteq
summation \sum
summation with a and b \sum_{a}^{b}
summation with limits \sum \limits_{k=1}^N k^2
superscript a^{b}
superset \supseteq
synthetic division*** \polyhornerscheme[x = -3]{6x^3 - 4x^2 + 17}
tangent \tan
text insert \text{some text}
there exists \exists
there exists only one \exists!
therefore \therefore
theta \theta
triangle \triangle ABC
union \cup
vector arrow \vec{AB}

## Examples!

Example: Addition or Subtraction \begin{align*} \\
3.47 \\
\underline{-0.92}
\end{align*}
Example: Addition or Subtraction in Equations \begin{array}{ccccccc}
2.2x&+&5&=1.2x&-4 \\
-1.2x & & & -1.2x &
\end{array}
Example: Systems of Equations \begin{displaymath}
\left\{ \begin{array}{lr} x + y = 50\\
x + 43 = 2y
\end{array} \right.
\end{displaymath}
Example: The Matrix* \begin{bmatrix}
a &b & c \\
d & e & f\\
g & h & i \end{bmatrix}
Example: The Determinant* \begin{vmatrix}
a & b & c \\
d & e &f \\
g & h & i
\end{vmatrix}
Example: Augmented Matrix** \left[\begin{array}{ccc|c}
a&b&c&d\\
e&f&g&h
\end{array} \right]
Example: 6 Trig Identities \begin{align*}
\sin x &= a & \csc x &= b \\
\cos x &= c & \sec x &= d \\
\tan x &= e & \cot x &= f
\end{align*}
Example: The Align Function* \begin{align*}
10x &= 2x + 4 \\
10x - 2x &= 4 \\
8x &= 4 \\
x &= 2 \end{align*}
*This expression does not require dollar signs.
**The number of c's indicates the number of columns. "\\" indicates the start of a new row. This expression does not require dollar signs.