Professor Kate Poirier | D071 | Fall 2023

Due Monday, September 11, 11:59pm

#### What is $\LaTeX$?

Throughout the semester, youâ€™ll be asked to submit complete written solutions in your own posts on the OpenLab. One way to do this is to upload a photo of work you wrote on paper and upload it as a picture to include in your post. You could also just type the work directly into your post. The regular keyboard can do a lot, but it wonâ€™t look that great and youâ€™ll be missing useful math characters like $\int$ and $\frac{d}{dx}$.

Instead, you can use the most commonly used math typesetting language, called $\LaTeX$ (pronounced LAY-teck) right in your OpenLab posts. $\LaTeX$ is a software system/markup language for typesetting math. It’s used widely to prepare research papers, technical reports, and other documents requiring mathematical symbols. A lot of you are planning on going into technical fields, and might find getting to know how to typeset math in $\LaTeX$ to be useful. It takes a while to learn, but it’s waaaaaay better than Microsoft Word’s equation editor!

Our OpenLab page has a $\LaTeX$ plugin installed, so that’s why I can type beautiful things that look like this:

$u= \int \frac{3-6t}{e^{-t}}dt$
$\quad=\int \left(3e^t – 6te^t\right) dt$
$\quad=3e^t – 6(te^t-e^t)+C$

$\quad=9e^t -6te^t+C.$

#### Instructions

For this assignment all you’re going to do is practice typing some $\LaTeX$ code in the comments on this post. Submit a comment using $\LaTeX$ on this post.

What you type doesn’t have to make any mathematical sense, just try to get it to compile some math symbols. Go ahead and play around and make a giant mess in these comments. If something doesnâ€™t work at first, donâ€™t worry just try again.Â

Instructions for typing in $\LaTeX$ on the OpenLab can be found here.

Two things to remember:

1. Type ! at the top of your post/comment.
2. Enclose your mathematical expression in dollar signs. (The instructions linked above use \ begin{math} and \ end{math} (without the spaces) instead of dollar signs, but you can use either to enclose your expression.)

1. Kate Poirier

[latexpage]

$\sum_{i=0}^{\infty} i^2$

• Kate Poirier

$\int_0^{10} x^2 dx$

2. Kate Poirier

$\frac{\sqrt[3]{x}}{\cos(x^2)}$

3. Qing Chen(Charlotte)

\frac{d\heartsuit}{dt} > 0,

\frac{d^2\heartsuit}{dt^2} > 0,

\forall t > 0.

4. Qing Chen(Charlotte)

$\frac{d\heartsuit}{dt} > 0, \frac{d^2\heartsuit}{dt^2} > 0, \forall t > 0.$

5. Qing Chen(Charlotte)

$\frac{d\heartsuit}{dt} > 0,$

6. Qing Chen(Charlotte)

$\frac{d\heartsuit}{dt} > 0,$

$\frac{d^2\heartsuit}{dt^2} > 0,$

$\forall t > 0.$

7. Ethan Lo

$\frac{\delta}{\delta x}[\frac{U(x)}{V(x)}] = \frac{U'(x)V(x) – U(x)V'(x)}{[V(x)]^2}$

8. Jonathan Lee

$\lim_{x\to\infty} 3x^3+5x^2$

9. Brandon Payne

$e^{i/pi}+1=0$

10. Brandon Payne

$e^{\pi}+1$

11. Brandon Payne

$\lim_{n\to\infty} 12. Brandon Payne$\lim_{n\to\infty}$13. Allan Yunayev$\int\sec^2{(8x)}dx=\frac{1}{8}\tan(8x)+C$14. Tamika \begin{math} \frac{x+10}{x^8 + 6x} \end{math} 15. Tamika$\sqrt[25]{11}$16. Hosea Lopez \begin{math} \sqrt{2x+34} \end{math} + \begin{math} x^{85y} \end{math} 17. Hosea Lopez \begin{math} \sqrt{2x+76} \end{math} 18. Hosea Lopez \begin{math} \sqrt[5]{78xy} \end{math} 19. Hosea Lopez$\sqrt{x+2}$20. Hosea Lopez$/sqrt{x+56}$+$x^43$21. Hosea Lopez$\sqrt{x+56}$+$x^4$22. Joanna Q. \ begin{math}lint_1 linfty\!\frac{1}{x^2}\,dx=\left[-\frac{1}{x}\right]_11\infty-1\ end{math} 23. Joanna Q. \begin{math} \sqrt{x+1} \end{math} \begin{math} \sqrt{x=4} \end{math} 24. Joanna Q. \begin{math} \sqrt{x+2} \end{math} 25. Joanna Q. \ begin{math} sqrt{x}\end{math} 26. Joanna Q. !$ sqrt{x}$27. Joanna Q. ! \sqrt{x}$

28. Joanna Q.

!

$\sqrt{x}$

29. Angelica Tellez

\begin{math} \frac{x^16+x}{x^2 + 6x} + x \end{math}

30. Angelica Tellez

\begin{math} \frac{2x^5+8}{x + 5x^17} \end{math}

31. Angelica Tellez

!

\begin{math} \frac{x^2+17}{x + 14y^5} \end{math}

32. Angelica Tellez

$\lim_{x\to\infty}$

33. Emily Murphy

$\frac{y^2-6}{y+3}$

34. Shawn Suraj

.

35. Shawn Suraj

\begin{math} x^{10y}\end{math}

36. Shawn Suraj

\begin{math} \sqrt{5x+6x^2} \end{math}

37. Shawn Suraj

!

$\begin{math} \sqrt{5x+2} \end{math}$

38. Shawn Suraj

!

\begin{math}\sqrt[10]{59xy}\end{math}

39. Shawn Suraj

!

\begin{math}x^{5y}\end{math}$40. Shawn Suraj ! \begin{math}x^{78y}\end{math}$

41. Shawn Suraj

!

$\begin{math}\sqrt[6]{22xy}\end{math}$

42. Shawn Suraj

!

$\sqrt[7]{52xy}$

43. Shawn Suraj

$\sqrt[4]{2x+7}$

44. Benjamin Tolbert

!

\begin{math} \sqrt[4]{256x+16} \end{math}

45. Benjamin Tolbert

!

$begin{math} \sqrt[4]{256x+16y}$end{math}

46. Wellington D Verduga

\begin{math} \c^2=a^2+b^2 \end{math} therefore \begin{math} \c=sqrt{a}+sqrt{b} \end{math}

47. Wellington D Verduga

$\c^2=a^2+b^2}$

48. Wellington D Verduga

$\c^2=a^2+b^2$

49. Erick Hidalgo

!

\sqrt{x-2}

\$

50. Erick Hidalgo

/ sqrtx + 2

Theme by Anders NorenUp ↑