OCR MEI Paper 3 2022 June — Question 10

Exam BoardOCR MEI
ModulePaper 3 (Paper 3)
Year2022
SessionJune
TopicDifferentiation Applications
TypeFind stationary points

10 In this question you must show detailed reasoning. Fig. C2.2 indicates that the curve \(\mathrm { y } = \frac { 4 \mathrm { x } ( \pi - \mathrm { x } ) } { \pi ^ { 2 } } - \sin \mathrm { x }\) has a stationary point near \(x = 3\).
  • Verify that the \(x\)-coordinate of this stationary point is between 2.6 and 2.7.
  • Show that this stationary point is a maximum turning point.