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Compute, by hand, the discrete equivalents using the following numerical integration techniques for a second-order low-pass Butterworth filter having a bandwidth of about 10 Hz. Assume the sample period is T 0.0035 seconds. 3. 3600 Low-Pass Filter: G[s]- + 84.853s 3600 (a) Forward rule; (b) Backward rule; and (c) Trapezoidal rule. (d) Check the trapezoidal discrete equivalent using MATLAB's c2d() function. (e) Compute the poles and zeroes of all of the different transfer functions. You may use MATLAB. Compute, by hand, the discrete equivalents using the following numerical integration techniques for a second-order low-pass Butterworth filter having a bandwidth of about 10 Hz. Assume the sample period is T 0.0035 seconds. 3. 3600 Low-Pass Filter: G[s]- + 84.853s 3600 (a) Forward rule; (b) Backward rule; and (c) Trapezoidal rule. (d) Check the trapezoidal discrete equivalent using MATLAB's c2d() function. (e) Compute the poles and zeroes of all of the different transfer functions. You may use MATLAB