(Solutions based entirely on graphical or numerical methods are not acceptable.)
The power consumption of a high-performance computing cluster, P P\,P in kilowatts, is modeled by the function P(t)=0.8t2.5−128t+2000,t>0P(t) = 0.8t^{2.5} - 128t + 2000, \quad t > 0P(t)=0.8t2.5−128t+2000,t>0 where t t\,t is the time in hours since the start of a large-scale simulation.
Solve the equation P′(t)=0P'(t) = 0P′(t)=0.
Solve the equation P′′(t)=15P''(t) = 15P′′(t)=15.
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.