Using Functions:

   Write a program to find f(x) given an x by the user.  
   f(x) is 0.5 * sin ( x )^2 + 0.5 * cos(x)^2 
   What is interesting about the result?


   Write a program that outputs a random integer from 13 to 23.

   Write a program to output the natural logarithm of x. Get the input
   of x from the user. Ensure that x is greater than 0 and make sure that
   cin did not fail.


Writing Functions:
   
   Write a function to compute the maximum of 3 integers.

   Write a function to compute the result of f(x) given above.

   Write a function that computes the distance moved by an object with
   a given velocity and acceleration over a period of time. The
   equation to compute this is:
      distance = velocity * time + 0.5 * acceleration * time^2

   Use call by reference to write an input function to read in an
   integer. Use this function prototype:
      void getInteger(string, int&)



Static Arrays:

   Create an array of string called names with 5 elements. Create
   another array of integer grades with 5 elements. Read in the names
   and grades from the user. Find the average grade and standard
   deviation of the grades. Standard deviation is computed by first
   adding up each elements difference with the average and squaring
   it. For example, if the average is avg, then compute: 
     (grades[i] - avg) ^ 2
   for each element and sum it all up. We'll call this sum, just
   sum. Then, given the sum, compute:
      stddev = sqrt ( 0.2 * sum )
   The 0.2 here is computed by 1 over the number of elements.
      When complete, output the average, and standard deviation.  Then,
   for each element, report how many standard deviations away from the
   average each grade is by computing: (grades[i]-avg)/stddev
  

    Take an array of 30 integers and reverse their order, such that
    the last becomes the first.

    Take an array of 30 integers and move every element down one
    position (so #2 goes into #1). The first element should then be
    placed in the last slot.



Dynamic Arrays:

    Allow the user to compute the average and standard deviation of an
    arbitrary number of integer grades. Let the user choose how many
    and enter the values.

    Create an array of strings called birds with as many elements as
    the user wishes. Then, randomly choose two elements from this
    array and output their sum. (Sums on strings performs a
    concatenation.) Let the user choose how many birds and enter the
    bird strings.