An oscilloscope often displays a sawtooth curve.This curve can be approximated by sinusoidal curves of varying periods and amplitudes.

(a) Use a graphing utility to graph the following function, which can be used to approximate the sawtooth curve.

(b) A better approximation to the sawtooth curve is given by

Use a graphing utility to graph this function for 0 ≤ x ≤ 4 and compare the result to the graph obtained in part (a).

(c) A third and even better approximation to the sawtooth curve is given by

Use a graphing utility to graph this function for 0 ≤ x ≤ 4 and compare the result to the graphs obtained in parts (a) and (b).

(d) What do you think the next approximation to the sawtooth curve is?

Transcribed Image Text:

f(x) -sin(27x) + sin(47x), 4 f(x) sin(27x) + sin(47x) + 4 sin(87x)