A team of engineers is testing an experimental high-voltage

Last updated: 7/21/2022

A team of engineers is testing an experimental high-voltage fuel cell with a potential application as an emergency back-up power supply in cell phone transmission towers. Unfortunately, the voltage of the prototype cell drops with time according to the equation V(t) = -0.0306t3 + 0.373t2 - 2.16t+ 15.1, where V is in volts and t is the time of operation in hours. The cell provides useful power as long as the voltage remains above <v> volts. Use Newton's method to find the useful working time of the cell to the nearest tenth of an hour (that is, solve V(t) = 6.6 volts). Use t = 7 hours as your initial guess and show all your work.