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1.10 G: Differentiation

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Question 187

The concentration of a specific chemical dye in a test vat, CCC (measured in mg/L), is modeled by the function

C(t)=2t−11t+10,t>0 C(t) = 2t - 11\sqrt{t} + 10, \quad t > 0 C(t)=2t−11t​+10,t>0

where t t\,t is the time in hours since the dye was introduced.

a.

Determine the two values of t t\,t for which the concentration is exactly 5 mg/L.

[4]
b.

Find the value of t t\,t for which C′′(t)=1132\displaystyle C''(t) = \frac{11}{32}C′′(t)=3211​.

[4]
Markscheme

1.10 G: Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.10 G: Differentiation

375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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