Science:Math Exam Resources/Courses/MATH102/December 2012/Question C 04 (b)
• QA 1 • QA 2 • QA 3 • QB 1 • QB 2 • QB 3 • QB 4 • QB 5 • QB 6 • QC 1 • QC 2 • QC 3(a) • QC 3(b) • QC 3(c) • QC 4(a) • QC 4(b) • QC 4(c) • QC 51 • QC 52 •
Question C 04 (b) 

Dead leaves accumulate on the ground in a forest at a rate of 5 grams per square centimeter per year. At the same time, these leaves decompose at a continuous rate of 50 percent per year. (b) What is the steady state mass of leaves per square centimeter? 
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 

You find the steady state by setting and calculating . 
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 

Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. To find the steady state, we set . Hence:
