For a limited time interval, the voltage across a 1.35 microfarads (or, equivalently,1.35 x 10-6 farads) capacitor is modelled byv(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 byi(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.

C = 1.35 x 10-6 F v(t) = 4.05 + 26.3 t + 29.1 t2 v'(t) is the derivative of v(t) w.r.t. t…

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