Science:Math Exam Resources/Courses/MATH221/December 2007/Question 09 (b)
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Question 09 (b) 

On a remote planet, moisture is present in clouds, on the continents, and in the seas.
Assume we know also that the total amount of water or moisture on the planet is 86 trillion litres. Write a system of linear equations describing the moisture transfer using the variables c, l, and s for water content in clouds, on land, and in the seas, respectively. Find the transition matrix of this dynamical system. 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Science:Math Exam Resources/Courses/MATH221/December 2007/Question 09 (b)/Hint 1 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Science:Math Exam Resources/Courses/MATH221/December 2007/Question 09 (b)/Solution 1 