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>0where t t\,t is the time in hours since the dye was introduced.
Determine the two values of t t\,t for which the concentration is exactly 5 mg/L.
Find the value of t t\,t for which C′′(t)=1132\displaystyle C''(t) = \frac{11}{32}C′′(t)=3211.
Practise AQA A Level Maths 1.10 G: Differentiation with exam-style questions for A Level Maths. 321 questions 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), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
