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1.9.16 Implicit differentiation (A-level only)

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Question 17

The relationship between the temperature $T$ and the pressure $P$ of a contained gas is modeled by the equation

2P^2 + TP^2 = 5(4^T) + 13, \quad P > 0

Determine an expression for $dPdT\frac{dP}{dT}$ in terms of $T$ and $P$ .

[4]

Find the exact value of the rate of change of pressure with respect to temperature when $T = 0$ .

[4]

Markscheme

1.9.16 Implicit differentiation (A-level only) Questions

A Level
Maths
1.9.16 Implicit differentiation (A-level only)

47 exam-style questions on OCR (MEI) A Level Maths 1.9.16 Implicit differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

1.9.16 Implicit differentiation (A-level only)

Question bank

1.9.16 Implicit differentiation (A-level only)

Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

Question 17

The relationship between the temperature $T$ and the pressure $P$ of a contained gas is modeled by the equation

2P^2 + TP^2 = 5(4^T) + 13, \quad P > 0

Determine an expression for $dPdT\frac{dP}{dT}$ in terms of $T$ and $P$ .

[4]

Find the exact value of the rate of change of pressure with respect to temperature when $T = 0$ .

[4]

Markscheme

1.9.16 Implicit differentiation (A-level only) Questions

A Level
Maths
1.9.16 Implicit differentiation (A-level only)

47 exam-style questions on OCR (MEI) A Level Maths 1.9.16 Implicit differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.