Question 32
Jonathan is investigating the spread of a virus measured by the number of daily recorded cases NNN. He believes N=AektN = Ae^{kt}N=Aekt.
a.[2]
Express lnN \ln N\,lnN in terms of ttt
b.
[2]
Plot lnN \ln N\,lnN against t t\,t for this data:
| ttt | 8 | 11 | 18 |
|---|---|---|---|
| NNN | 12 | 24 | 90 |
c.[4]
Using the graph, estimate the value of A A\,A and the value of kkk.
1.8 Exponentials and Logarithms Questions
104 exam-style questions on OCR (MEI) A Level Maths 1.8 Exponentials and Logarithms, covering 1.8.1 The function y = a^x, 1.8.2 Convert between index and logarithmic form, 1.8.3 Logarithm as inverse of exponential, 1.8.4 Laws of logarithms, 1.8.5 Values of log_a a and log_a 1, 1.8.6 Solve equations of the form a^x = b, 1.8.7 Reduce y = ax^n and y = ab^x to linear form, 1.8.8 The function y = e^x, 1.8.9 Gradient of e^kx (A-level only), 1.8.10 The function y = ln x, and 1.8.11 Exponential growth and decay. Each one has a worked solution and a mark scheme showing where the marks go.