QFaculty of ACES. Submit an electronic copy on the Further Mathematics, signals and systems BB web page. Questions: 1. (65 points) Find a mathematical model for a heart beat. The figure below shows a graphical representation of the signal: Hints and clarifications: Compose the heart beat signal from basic signals using the cases technique. The equation below provides a start point: ecg(t) = 8>>><>>>: P (t) for 0  t < 3 ⇥ 0.04 ... U (t # 16 ⇥ 0.04) for 16 ⇥ 0.04  t < 17 ⇥ 0.04 (1) Model the P , T and U waves with cos(2⇡ft). Use up to 50 words and appropriate diagrams to describe the construction of each individual case. 2. (35 points) Draw a graph of the signal model. Link the individual components of the wave to the mathematical model.