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 Edexcel A Level Maths Differentiation with exam-style questions for A Level Maths. 311 questions covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change, matched to the Edexcel A Level Maths (9MA0) 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.
