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1.10.5 Implicit and parametric differentiation (A-level only)

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Question 50

In a high-pressure experimental chamber, the relationship between Temperature, $T$ , and Pressure, $P$ , is modeled by the implicit equation:

T^2 - 10T = 2P^2 - 16P + 5

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

[3]

The model predicts that temperature $T$ has no real solutions for pressure values in the interval $(p, q)$ . Use your result from part (a) or otherwise to determine the value of $p$ and the value of $q$ .

[5]

Markscheme

1.10.5 Implicit and parametric differentiation (A-level only) Questions

A Level
Maths
1.10.5 Implicit and parametric differentiation (A-level only)

82 exam-style questions on AQA A Level Maths 1.10.5 Implicit and parametric differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

1.10.5 Implicit and parametric differentiation (A-level only)

Question bank

1.10.5 Implicit and parametric differentiation (A-level only)

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Question 50

In a high-pressure experimental chamber, the relationship between Temperature, $T$ , and Pressure, $P$ , is modeled by the implicit equation:

T^2 - 10T = 2P^2 - 16P + 5

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

[3]

[5]

Markscheme

1.10.5 Implicit and parametric differentiation (A-level only) Questions

A Level
Maths
1.10.5 Implicit and parametric differentiation (A-level only)

82 exam-style questions on AQA A Level Maths 1.10.5 Implicit and parametric differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.