.. _hw9:

Homework 9 - Function to Calculate 2-Dimensional Array Data
===================================================================

Write a C program that uses a function to calculate :math:`f(x, y)` for the
equation below over the range of values: :math:`-1 \leq x \leq 5` with a step
size of :math:`$1$` and :math:`2 \leq y \leq 4` with a step size of
:math:`0.5`.

.. math:: f(x, y) = \frac{3x^{2} + 4y + 3}{5 \, sin(y^{2}) + 4x^{2} + 3}

Use the following function prototype for the function `f(x, y)`::

    double f(double, double);

Print the calculated values as a matrix of values where the columns
represent x values and the rows (lines) represent the y values.
Print the numbers with 3 digit precision.

In case you are wondering what the data should look like, below is a plot of
the data (made using MATLAB).

.. figure:: 2dArrayplot.png
   :align: center