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9.8 Implicit Differentiation

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Question 38

In a controlled thermodynamic study, the relationship between the temperature $T$ and the pressure $P$ of a substance is given by the implicit equation

P^3 e^{4T} + 5P - 108T = C

where $C$ is a constant. It is observed that the pressure-temperature curve has a stationary point on the pressure axis. Determine the value of $C$ .

[5]

Markscheme

9.8 Implicit Differentiation Questions

A Level
Maths
9.8 Implicit Differentiation

47 exam-style questions on Edexcel A Level Maths 9.8 Implicit Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.

9.8 Implicit Differentiation

Question bank

9.8 Implicit Differentiation

Medium Hard

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Question 38

In a controlled thermodynamic study, the relationship between the temperature $T$ and the pressure $P$ of a substance is given by the implicit equation

P^3 e^{4T} + 5P - 108T = C

where $C$ is a constant. It is observed that the pressure-temperature curve has a stationary point on the pressure axis. Determine the value of $C$ .

[5]

Markscheme

9.8 Implicit Differentiation Questions

A Level
Maths
9.8 Implicit Differentiation

47 exam-style questions on Edexcel A Level Maths 9.8 Implicit Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.