For the circuit shown with the input voltage x(t) and output voltage defined on the capacitor C2: circuit-1.png 1. Determine the transfer function as a function of C1, C2, and R (do not use the numerical values in this part). For the following questions, you can use the numerical values given in the figure above. 2. Draw a pole-zero map (clearly indicate the number of poles and zeros at each location). 3. Determine the step response (response to ), where is the Heaviside step function. 4. Determine the impulse response, h(t). 5. Determine the type of this filter. Explain! 6. At which frequencies (in Hz) does this filter have zero gain? Explain