In a controlled thermodynamic study, the relationship between the temperature TTT and the pressure PPP of a substance is given by the implicit equation
P3e4T+5P−108T=C P^3 e^{4T} + 5P - 108T = C P3e4T+5P−108T=Cwhere CCC is a constant. It is observed that the pressure-temperature curve has a stationary point on the pressure axis. Determine the value of CCC.
Practise Edexcel A Level Maths 9.8 Implicit Differentiation with exam-style questions for A Level Maths. 48 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.
