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3 marksApplications of Logarithms to Linear Reduction

CSEC Additional Mathematics · 2017 · Paper 2 · Question 1(c)(ii)

Experimental data for variables P and x are thought to obey the law P = Ax⁻ᵏ. The data is provided in Table 1.

Using a suitable scale, plot the best fit line of the equation in (c)(i) on the graph paper provided on page 9. Use the space below to show your working.

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Other parts of this question

  1. 1(a)(i)Determine the inverse of f(x).[2 marks]
  2. 1(a)(ii)If f⁻¹(8) = 5, find the value of p.[1 mark]
  3. 1(b)Determine the values of a and b.[4 marks]
  4. 1(c)(i)Use logarithms to reduce the equation to linear form.[1 mark]
  5. 1(c)(iii)Hence, estimate the constants A and k.[3 marks]

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