The following circuit is a filter based on a high speed operational amplifier LTC6269-10. Answer the questions which follow. (a) Calculate the resonant frequency of this filter, fo. (b) Calculate the passband Q-factor of this filter (c) Calculate the maximum gain of this filter. (e) Using the same operational amplifier as given above, design an active lowpass filter with a gain of at least 2, a corner frequency of 1 MHz, and a gain roll-off rate of ?30 dB/decade. In your answer, please include the circuit diagram of your design. (f) Derive a transfer function for your low pass filter as completed in question (d).