Hints for Exercise 12
=====================

Problem 1
---------

Solving for the unknown pressures in Equation 10
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

In Part 2 of Problem 1 you’re asked to solve for the term :math:`(p_{1} - p_{0}) / L` in Equation 10.
To help you know whether or not you’ve done this properly, I’ve given a table of the values you should get below.

+-----------+-----------------------------+
| :math:`n` | :math:`(p_{1} - p_{0}) / L` |
+===========+=============================+
| 2         | 4215743440.23               |
+-----------+-----------------------------+
| 3         | 8029987.50521               |
+-----------+-----------------------------+
| 4         | 14339.2634022               |
+-----------+-----------------------------+
| 5         | 24.5815944037               |
+-----------+-----------------------------+

Problem 2
---------

Solving for the unknown term in Equation 19
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Similar to Problem 2, you’re again asked to solve for an unknown term in Equation 19, in this case :math:`\gamma_{x}`\ .
As above, you have a table of values below to help you check whether or not you’ve properly solved your equation for :math:`\gamma_{x}`\ .

+-----------+--------------------+
| :math:`n` | :math:`\gamma_{x}` |
+===========+====================+
| 1         | 8.33314255626e+12  |
+-----------+--------------------+
| 2         | 51263351337.2      |
+-----------+--------------------+
| 3         | 327038924.001      |
+-----------+--------------------+
| 4         | 1955974.42585      |
+-----------+--------------------+
| 5         | 11230.4751723      |
+-----------+--------------------+