IB Calculus Problem 004

The following figure shows the graph of \(f(x) = a\,Cos\,bx\), for \(0 \leq x \leq 4\).

The figure is not to scale.

image essential to understanding the question

There is a minimum point at \(P( 2, -3 )\) and a maximum point at \(Q( 4, 3 )\).

    1. Write down the value of \(a\).
    2. Find the value of \(b\).
  2. Write down the slope of the curve at \(P\).
  3. Find the equation of the normal to the curve at \(P\).
Published by Annie Bernatchez in «calculus». Key Words: IB, question