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>0C(t) = 2t - 11\sqrt{t} + 10, \quad t > 0C(t)=2t−11t+10,t>0 where 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 9.9 Using Second Derivatives with exam-style questions for A Level Maths. 57 questions, 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.