HW003
Math 2984 - Fall 2017
Intro to Mathematical Problem Solving

TASK: Write a script that evaluates a formula for the density of water.

COMMENT: A formula for rho, the density of water in grams/cm^3, at a temperature t in degrees Celsius, is:

rho(t) = 0.99985308 + 6.32693 * 10-5 * t - 8.523829 * 10-6 * t2 + 6.943248 * 10-8 * t3 - 3.821216 * 10-10 * t4
Evaluate this formula for temperatures t = 0, 4, 10, 20, and 40 degrees.

INSTRUCTIONS: 

        To see 16 digits of accuracy, start with

          format long

        Set t to 0

          t = 0

        Set rho to the formula for density, based on t:

          rho = 0.99985308 + 6.32693E-5 * t - ...

        Repeat this process, setting t to 4, 10, 20 and 40, and computing
        the corresponding value of rho in each case.
For t = 20, the correct value of rho is 0.998203254784000

SUBMIT: Your work should be stored in a script file called "hw003.m". Your script file should begin with at least three comment lines: 

        % hw003.m
        % YOUR NAME
        % This script (describe what it does)
        % Add any comments here that you care to make.
If this problem is part of an assignment, then submit it to Canvas.