MATH102 December 2014
• QA 1 • QA 2 • QA 3 • QA 4 • QA 5 • QA 6 • QA 7 • QA 8 • QB 1 • QB 2 • QB 3 • QB 4 • QB 5 • QB 6 • QB 7 • QC 1 • QC 2(a) • QC 2(b) • QC 2(c) • QC 2(d) • QC 3 •
Question C 02 (a)
The graphs to the right show two functions,
where , and . Suppose that is the concentration of a substance involved in a chemical reaction and satisfies the equation
Calculate the steady states of the differential equation (show your work).
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A Steady state is a state in which a system is not changing. So it is calculated by setting and find the solution .
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By the definition of steady state, we look for the value of such that Thus we need to solve
Substitute values of , and and simplify the expression, we obtain
which gives are the steady states.
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MER QGH flag, MER QGQ flag, MER QGS flag, MER RT flag, MER Tag Steady state and equilibrium