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3.6 Differentiation (A-level only)

3.6 Differentiation (A-level only)

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Question 162

The population of a luminescent algae colony, PPP, measured in thousands, is modelled by the function

P(t)=4t−20t+25,t>0 P(t) = 4t - 20\sqrt{t} + 25, \quad t > 0 P(t)=4t−20t​+25,t>0

where ttt is the time in hours since the colony was first observed.

a.

Determine the values of ttt for which the population is exactly 9 thousand.

[3]
b.

Find the value of ttt for which d2Pdt2=527\dfrac{d^2P}{dt^2} = \dfrac{5}{27}dt2d2P​=275​.

[4]
Markscheme

3.6 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Differentiation (A-level only)

333 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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