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1.7.14 Stationary points

1.7.14 Stationary points

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Question 35

The potential energy, VVV Joules, of a mechanical system depends on a configuration parameter xxx according to the model:

V=13x3+52x2−24x+10 V = \frac{1}{3}x^3 + \frac{5}{2}x^2 - 24x + 10 V=31​x3+25​x2−24x+10
a.

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

[3]
b.

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

[3]
Markscheme

1.7.14 Stationary points Questions

  1. A Level
  2. /Maths
  3. /1.7.14 Stationary points

57 exam-style questions on OCR A Level Maths 1.7.14 Stationary points. Each one has a worked solution and a mark scheme showing where the marks go.

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