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Question 3 . [13] (a) Make use of a filter transformation to derive the transfer function for a 3-rd order Butterworth highpass [4] filter having a cut-off frequency at 1000 Hz. Write the transfer function in the standard format. (b) The transfer function for another filter is given by: [6] 100000 H(s) = (s + 10) (8² +5000s +10000)" Draw the Bode plot (only the amplitude response) for this transfer function. Clearly indicate important frequencies and decibel levels on the graph. (c) What would the attenuation (in dB) be at w = 104 rad/s for the filter in (b)? If a signal at this angular [2] frequency had an amplitude of 10 V, what would the amplitude of the output signal be? (d) What type of filter would be obtained if the two filters from (a) and (b) are placed in parallel? Page 3 of 3