# Science:Math Exam Resources/Courses/MATH102/December 2014/Question C 02 (a)

MATH102 December 2014
Other MATH102 Exams

### Question C 02 (a)

Graphs

The graphs to the right show two functions,

${\displaystyle P(c)=P_{m}{\frac {c^{2}}{k^{2}+c^{2}}},\quad D(c)=rc}$ where ${\displaystyle P_{m}=5}$, ${\displaystyle k=10}$ and ${\displaystyle r=1/5}$. Suppose that ${\displaystyle c(t)}$ is the concentration of a substance involved in a chemical reaction and satisfies the equation ${\displaystyle {\frac {dc}{dt}}=P(c)-D(c).}$