Consider two signals, (t) and y(t), each with a fundamental period of T = 2 seconds. The Fourier series coefficients of each of these signal are ak, x = (10.250j 0 - 0.257j)
ba, x = (-0.50j 0 1 100,5j)
What is the result of multiplying the two signals in the time domain?

An external consultant recommends that a plant installs a bank of capacitors for power factor correction. this will reduce the peak electrical demand charges by an average of 93 kw every month. the plant current pays $13 per kw in peak demand charges. the capacitor bank will include 223 kw of fixed capacitors, and 183 of variable capacitors. the fixed capacitors cost $59 per kw, and the variable capacitors will cost $65 per kw. the consultant charges 21% of the equipment costs to install the capacitors. because this project will reduce the demand for the electric utility, they are prepared to provide a one-time rebate of $42 per kw of reduced demand. what is the simple payback period for this project (in years)?