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1.10.3 Applications of differentiation

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Question 35

The potential energy, $V$ Joules, of a mechanical system depends on a configuration parameter $x$ according to the model:

\frac{1}{3}x^3 + \frac{5}{2}x^2 - 24x + 10

Use calculus to find the values of $x$ for which the system's potential energy is stationary.

[3]

By using the second derivative, determine the nature of each of these stationary points.

[3]

Markscheme

1.10.3 Applications of differentiation Questions

A Level
Maths
1.10.3 Applications of differentiation

57 exam-style questions on AQA A Level Maths 1.10.3 Applications of differentiation. Each one has a worked solution and a mark scheme showing where the marks go.

1.10.3 Applications of differentiation

Question bank

1.10.3 Applications of differentiation

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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 35

The potential energy, $V$ Joules, of a mechanical system depends on a configuration parameter $x$ according to the model:

\frac{1}{3}x^3 + \frac{5}{2}x^2 - 24x + 10

Use calculus to find the values of $x$ for which the system's potential energy is stationary.

[3]

By using the second derivative, determine the nature of each of these stationary points.

[3]

Markscheme

1.10.3 Applications of differentiation Questions

A Level
Maths
1.10.3 Applications of differentiation

57 exam-style questions on AQA A Level Maths 1.10.3 Applications of differentiation. Each one has a worked solution and a mark scheme showing where the marks go.