Question B4. [20 marks] a) If a and b are distinct positive numbers, find the maximum value of f(z) = (-2)(1+z), where -

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Question B4 20 Marks A If A And B Are Distinct Positive Numbers Find The Maximum Value Of F Z 2 1 Z Where 1 (16.79 KiB) Viewed 64 times

Question B4. [20 marks] a) If a and b are distinct positive numbers, find the maximum value of f(z) = (-2)(1+z), where -1≤z≤0. b) Consider the function f(x) = cos 3z. (i) Show that there exists 0 <0 <3 such that f(f)=0. [5] (ii) By using a calculator, find an interval of length 0.1 that contains the you obtained in (1) above. [4] e) Show that the function f(x)= has three points of inflection. [6] END 3 [5] Cin