MATHEMATICS · Multi-part · AP · Calculus AB · Differential Equations · Differential Equations
Problem
A bacterial culture initially contains 2×105 cells. After 3 hours the number of cells is observed to be 5×105 and the growth is continuous.
(i) Find the growth constant k per hour (correct to four significant figures).
(ii) Predict the number of cells present after a further 4 hours.
(iii) Calculate the time required (in hours and minutes) for the culture to reach one million cells.