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5 marksSimultaneous Equations (Linear and Non-Linear)

CSEC Additional Mathematics · 2014 · Paper 2 · Question 1(c)

The length of a rectangular kitchen is y m and the width is x m. If the length of the kitchen is half the square of its width and its perimeter is 48 m,

find the values of x and y (the dimensions of the kitchen).

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Other parts of this question

  1. 1(a)(i)Show that f is NOT one-to-one.[1 mark]
  2. 1(a)(ii)a)Find fg(x), and clearly state its domain.[2 marks]
  3. 1(a)(ii)b)Determine the inverse, g⁻¹, of g and sketch on the same pair of axes, the graphs of g and g⁻¹.[3 marks]
  4. 1(b)Determine the value of the constant a.[3 marks]

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