OCR PURE — Question 2

Exam BoardOCR
ModulePURE
TopicPolynomial Division & Manipulation
2 Two curves have equations \(y = \ln x\) and \(y = \frac { k } { x }\), where \(k\) is a positive constant.
  1. Sketch the curves on a single diagram.
  2. Explain how your diagram shows that the equation \(x \ln x - k = 0\) has exactly one real root.
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