/*
 * Question 1
 *
 * Write a program called submean.cc that:
 *
 * 1. Reads in from the user a sequence of 10 floats and puts them in an array
 * 2. Computes and displays the mean value of the sequence
 * 3. Subtracts from each element of the array the computed mean
 * 4. Displays the new array
 * 5. Computes and displays the mean value of the new sequence
 *
 * For example:
 *
 * Enter the 10 numbers separated by spaces:
 * 0 1 2 3 4 5 6 7 8 9
 * The mean value is 4.5
 * The new array is:
 * -4.5 -3.5 -2.5 -1.5 -0.5 0.5 1.5 2.5 3.5 4.5
 * The new mean value is 0
 */

/*
 * Question 2
 *
 * Write a program called transpose.cc that:
 *
 * 1. Reads in a 3 x 3 matrix A
 * 2. Calculates and prints out the tranpose of the matrix A
 *
 * Note: The transpose AT of a matrix A is formed by making the rows of A the
 * the columns of AT.
 *
 * For example:
 * Enter row 0
 * 1 2 3
 * Enter row 1
 * 4 5 6
 * Enter row 2
 * 7 8 9
 * Transpose:
 * 1 4 7
 * 2 5 8
 * 3 6 9
 */

/*
 * Question 3
 *
 * The temperature at point x in an 80cm copper bar at time t is given by the
 * formula (where ^ means "to the power of"):
 *
 * u(x, t) = 1.25 sin (pi x / 80) e^(-0.001785 t)
 *
 * 1. Write a program that asks the user to enter values for x and t and calls
 *    a function u that computes the corresponding temperature
 * 2. Have the function u return the computed temperature to the caller which
 *    prints it out
 * 3. Modify the program so that it repeatedly prompts for values for x and t
 *    and exits only when both values are negative
 *
 * Note: sin and exp functions are available from the cmath library and pi can
 * be assumed to be 3.14.
 *
 * For example:
 *
 * Enter the position:
 * 5
 * Enter the time:
 * 5
 * Temperature: 0.241575 degrees
 * Enter the position:
 * 8
 * Enter the time:
 * 20
 * Temperature: 0.372542 degrees
 * Enter the position:
 * -1
 * Enter the time:
 * -1
 */