A bi-cubic Bezier surface patch has a 4×4 array of control points {Vij} with i = 0, 1, 2, 3 and j = 0, 1, 2, 3. It has 4 boundary curve segments. Obtain the Ferguson model of the boundary curve segment along V00, V10, V20, and V30.

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)?