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An example exam paper using mathexam package features. The mathexam package can help in creating exams for math or related disciplines (which are required to show calculations followed by short answers).
This example was originally published on ShareLaTeX and subsequently moved to Overleaf in November 2019.

The density of solid water, unlike most molecules, is less than that of its liquid form. Its precise value is of use in many applications. Freezing a spherical droplet of water and analyzing the changed shape from a sphere to a sphere with a slight peak in order to find the density of ice. We find the density of ice to be at 0.90 ± 1.66 · 106 g/mL. The precision of our measurement was limited by uncertainty in the angle measurements of the peak of the droplet.

Visualization of chemical experiment data with Tufte style axes, which demonstrates the ability of LaTeX to dynamically generate figures from raw data files.
This plot uses two data files and does some calculations in pgfplots to standardise them. It shows 'scan rate normalised cyclic voltammograms', and could more generally be used for 'cyclic voltammetry' results.
Original source: http://pgfplots.net/tikz/examples/cyclic-voltammetry/

The impact crater of a small metal ball of 63.7 grams (0.0637kg) is dropped from 8 different heights, ranging from 0.20m to 0.90m was observed. A mean was measured for the craters diameter. Using the equation E=mg$\Delta$h given that we have m, and g is a constant of 9.81 we can find the kinetic energy of the ball on impact. The relationship between crater diameter, D, and impact energy, E, is given by D=kE$^n$ where K is constant and n is found by the gradient of the graph and is also constant. This can be modified to give $\log D = n\log E + \log k$.

Template for C240 Models of Computation Assessed Coursework 2
Contains macros for typesetting register machines in textual, graphical and encoded formats.
Department of Computing, Imperial College London
This work is released into the Public Domain.

phase1-AR.tex (use only for Archival Research and Theory proposals; use phase1-GO.tex
for General Observer and Snapshot proposals and phase1-DD.tex for GO/DD
proposals or use phase1-MC.tex for GO/MC rapid response proposals.
HUBBLE SPACE TELESCOPE
PHASE I ARCHIVAL & THEORETICAL RESEARCH PROPOSAL TEMPLATE
FOR CYCLE 25 (2017)
Version 1.0, January 2017
Guidelines and assistance
Cycle 25 Announcement Web Page
Please contact the STScI Help Desk if you need assistance with any
aspect of proposing for and using HST. Either send e-mail to
help@stsci.edu, or call 1-800-544-8125; from outside the United
States, call [1] 410-338-1082.

STScI

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