3 a saw tooth signal u has the form u t at t for 0 less than t less th

Question

3. A saw tooth signal u has the form u(t)= at/T for 0 < t < T, and is T-periodic (i.e., repeats every T seconds). The constant a is called the amplitude of the signal, and the constant T(which is positive) is called the period of the signal. You can assume that a > 0. (a) Find the peak value of a sawtooth signal. (b) Find the RMS (root-mean-square) value of a saw tooth signal. (c) Find the AA (average-absolute) value of a saw tooth signal. (d) In the space below, sketch the derivative of a saw tooth signal. Be sure to label all axes,slopes, magnitudes of any impulses, etc.