A periodic waveform can be expressed as \(v(t)=-5+20\) \(\cos 500 \pi t-10 \sin 1000 \pi t+5 \cos 2000 \pi t \mathrm{~V}\)

(a) What is the period of the waveform? What is the average value of the waveform? What is the amplitude of the fundamental (lowest frequency) component? What is the highest frequency in the waveform?

(b) Simulate the waveform in MATLAB or Excel and find \(V\) MAX \(, V_{\text {MIN }}, V_{\mathrm{p}}, V_{\text {pp }}\), and \(V_{\text {avg }}\).