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