A geophysicist is monitoring the normalized amplitude AAA of two different seismic waves over time ttt. Given that kkk is a positive constant,
on separate diagrams, sketch the graph with equation
(i) A=3k−2∣t∣A = 3k - 2|t|A=3k−2∣t∣
(ii) A=∣5t−k∣A = |5t - k|A=∣5t−k∣
Show on each sketch the coordinates, in terms of kkk, of each point where the graph meets or cuts the axes.
Hence determine, in terms of kkk, the values of ttt for which
∣5t−k∣=3k−2∣t∣ |5t - k| = 3k - 2|t| ∣5t−k∣=3k−2∣t∣giving your answers in simplest form.
