The rate of change of the population of a colony of bacteria is modelled by the function $\frac{dP}{dt} = 2t + 3e^{t}$, where $P$ is the population size and $t$ is the time in hours. Initially, at $t=0$, the population is 5.
b. State the population of the bacteria colony after 2 hours.
Marking your answer...
This may take a few seconds
Sign up for free to see your full marking breakdown and personalised study recommendations.
Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 1 mark, testing your understanding of Anti-derivatives. It falls under Calculus in Unit 3: Mathematical Methods Unit 3. Submit your answer above to receive instant AI-powered marking and personalised feedback.
Extend introductory study of functions, algebra, calculus. Focus on functions, relations, graphs, algebra, and applications of derivatives.
Covers limits, continuity, differentiability, differentiation, and anti-differentiation.
anti-derivatives of polynomial functions and functions of the form $f(a x+b)$ where $f$ is $x^{n}$, for $n \in Q, e^{x}$, $\sin (x), \cos (x)$ and linear combinations of these
StudyPulse has thousands of VCE Mathematical Methods questions with full AI feedback, mark breakdowns, progress tracking, and study notes across every Key Knowledge point including Anti-derivatives.
