OCR PURE — Question 3

Exam BoardOCR
ModulePURE
TopicTrig Proofs

3 In each of the following cases choose one of the statements $$P \Rightarrow Q \quad P \Leftarrow Q \quad P \Leftrightarrow Q$$ to describe the relationship between \(P\) and \(Q\).
  1. \(P : y = 3 x ^ { 5 } - 4 x ^ { 2 } + 12 x\)
    \(Q : \frac { \mathrm { d } y } { \mathrm {~d} x } = 15 x ^ { 4 } - 8 x + 12\)
  2. \(\quad P : x ^ { 5 } - 32 = 0\) where \(x\) is real
    \(Q : x = 2\)
  3. \(\quad P : \ln y < 0\)
    \(Q : y < 1\)