Time-dependent Function Assignment | Assignment Help Services

Consider a triangular wave time-dependent function, f1(t) with the following properties:

– the period is 2 milliseconds

– the domain of t is -infinity to + infinity

– the range is + 1 to -1

– f1(t=0)=0, f1(1/2)=1

NOTE: Use conceptual reasoning (rather than numerical tools) to perform the following.

A. Plot f1(t), its first derivative and its integral with respect to time, in the interval -5 to +5 ms.

B. Consider another function f2(t), which has the same properties as f1(t), except that it has a phase of +90 degrees relative to f1(t). Plot f2(t), its derivative and its integral.

C. Consider yet another function, f3(t), which has the same properties as f1(t), except that is has a phase of -90 degrees relative to f1(t). Plot f3(t), f2(t)+f3(t), the derivative of f2(t)+f3(t), and the integral of f2(t)+f3(t).