# Science:Math Exam Resources/Courses/MATH102/December 2017/Question 13 (a)

MATH102 December 2017
Other MATH102 Exams

### Question 13 (a)

A biochemical reaction in which a substance is both produced and consumed is described by the differential equation

${\displaystyle {\frac {dc}{dt}}={\frac {4c^{3}}{1+c^{3}}}-rc,}$
where ${\displaystyle c(t)}$ denotes the concentration of the substance, ${\displaystyle r>0}$ is a constant and the units are omitted.

(a) Which term represents the production rate and which term represents the consumption rate?

Production:

Consumption:

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