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4 marksGraphs of Non-Linear Functions

CSEC Mathematics · May/June 2008 · Paper 2 · Question 9(c)(i)

The temperature, K, of a liquid t minutes after heating is given in the table below.

Using a scale of 2 cm to represent 10 minutes on the horizontal axis and a scale of 2 cm to represent 10 degrees on the vertical axis, construct a temperature-time graph to show how the liquid cools in the 60 minute interval. Draw a smooth curve through all the plotted points.

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Other parts of this question

  1. 9(a)(i)x² × x³ ÷ x⁴[1 mark]
  2. 9(a)(ii)a²b^(3/5) × √ab³.[2 marks]
  3. 9(b)(i)f(2)[1 mark]
  4. 9(b)(ii)f⁻¹(0)[2 marks]
  5. 9(b)(iii)f⁻¹f(2)[2 marks]
  6. 9(c)(ii)a)Use your graph to estimate the temperature of the liquid after 15 minutes.[3 marks]
  7. 9(c)(ii)b)Use your graph to estimate the rate of cooling of the liquid at t = 30 minutes.[3 marks]

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