Rabbits were introduced onto an island. The number of rabbits, PPP, t t\,t years after they were introduced is modelled by the equation
P=80e15t,t∈R,t≥0. P = 80e^{\frac{1}{5}t}, \quad t \in \mathbb{R}, \quad t \geq 0. P=80e51t,t∈R,t≥0.Write down the number of rabbits that were introduced to the island.
Find the number of years it would take for the number of rabbits to first exceed 1000.
Find dPdt\displaystyle \frac{dP}{dt}dtdP.
Find P P\,P when dPdt=50\displaystyle \frac{dP}{dt} = 50dtdP=50.
Practise Edexcel A Level Old Maths Logs with exam-style questions for A Level Old Maths. 16 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.