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1.7.19 Parametric and implicit differentiation (A-level only)

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Question 59

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

1.7.19 Parametric and implicit differentiation (A-level only) Questions

A Level
Maths
1.7.19 Parametric and implicit differentiation (A-level only)

82 exam-style questions on OCR A Level Maths 1.7.19 Parametric and implicit differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

1.7.19 Parametric and implicit differentiation (A-level only)

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1.7.19 Parametric and implicit differentiation (A-level only)

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Question 59

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

1.7.19 Parametric and implicit differentiation (A-level only) Questions

A Level
Maths
1.7.19 Parametric and implicit differentiation (A-level only)

82 exam-style questions on OCR A Level Maths 1.7.19 Parametric and implicit differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.