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Add Math 0606
FPM 4PM1

Add Math 0606 topics

1. Functions55
2. Simultaneous equations and quadratics34
2. Quadratic functions35
3. Factors and polynomials61
4. Equations, inequalities and graphs127
5. Logarithmic and exponential functions86
6. Straight-line graphs107
7. Coordinate geometry of the circle6
8. Circular measure68
9. Trigonometry180
10. Permutations and combinations55
11. Series99
12. Calculus — Differentiation 185
13. Vectors51
14. Calculus — Differentiation 261
15. Calculus — Integration92
16. Kinematics42
Indices and surds39

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Formula summary

Additional Mathematics 0606 / Logarithmic and exponential functions / 1.6

1.6: Doubling time of an exponential population

0606/12/M/J/18 — Question 7 · 5 marks · Exponentials, Population models

· ·

A population,

B

, of a particular bacterium,

t

hours after measurements began, is given by

B = 1000e^{t/4}

.

(i)

Find the value of

B

when

t = 0

.

[1]

(ii)

Find the time taken for

B

to double in size.

[3]

(iii)

Find the value of

B

when

t = 8

.

[1]

← 1.2: Single logarithm and a quadratic in log a 5 1.7: Common logarithms; hence solve for a →

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