Plants depend on microbial partners (bacteria and fungi) within soil to provide them with nitrogen (in return, the plant provides its microbial partners with sugars). We will build a two-compartment model for the available nitrogen in the system. Measure time, t, in days. Let x, represent the amount of nitrogen held by soil fungi, and let X, represent the amount of nitrogen held by the plant. Assume that in one day the fungi gain (from the atmosphere) 1 g of nitrogen. Assume also that in one day they pass 50% of their free nitrogen to the plant, and they use up 20% of this nitrogen for growth. In the plant, 90% of the nitrogen is used up (e.g., for growth) each day, but no nitrogen is returned to the fungal partner. Complete parts (a) through (c).
Plants depend on microbial partners (bacteria and fungi) within soil to provide them with nitrogen (in return, the plant provides its microbial partners with sugars). We will build a two-compartment model for the available nitrogen in the system. Measure time, t, in days. Let x, represent the amount of nitrogen held by soil fungi, and let X, represent the amount of nitrogen held by the plant. Assume that in one day the fungi gain (from the atmosphere) 1 g of nitrogen. Assume also that in one day they pass 50% of their free nitrogen to the plant, and they use up 20% of this nitrogen for growth. In the plant, 90% of the nitrogen is used up (e.g., for growth) each day, but no nitrogen is returned to the fungal partner. Complete parts (a) through (c).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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