For a limited time interval, the voltage across a 1.35 microfarads (or, equivalently, 1.35 x 10-6 farads) capacitor is modelled by v(t) = 4.05 + 26.3t + 29.1t² volts, where t is the time in seconds. Recall that, in this case, the current function is given by i(t) = Cv' (t), where the current, capacitance, and voltage is given in amperes, farads, and volts, respectively. (a) Find the current function. i(t) = amperes. (b) Find the current in milliamperes at 37.5 seconds. Current to three decimal places = milliamperes.

For a limited time interval, the voltage across a 1.35 microfarads (or, equivalently, 1.35 x 10-6 farads) capacitor is modelled by v(t) = 4.05 + 26.3t + 29.1t² volts, where t is the time in seconds. Recall that, in this case, the current function is given by i(t) = Cv' (t), where the current, capacitance, and voltage is given in amperes, farads, and volts, respectively. (a) Find the current function. i(t) = amperes. (b) Find the current in milliamperes at 37.5 seconds. Current to three decimal places = milliamperes.