IB Calculus Problem 4

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 that is essential to understanding the question

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

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