Please show every step/formula so I can learn how to work through this style of problem. It has been a while since I've taken any calculus classes.

Chapter 3, Section 3.8, Question 12 A series circuit has a capacitor ofl X Ill6 F, a resistor of 5 X 1'33 , and an inductor ofl H. The initial charge on the capacitor is zero. If a Ely-ll. battery is connected to the circuit and the circuit is closed at I = '3. determine the charge on the capacitor at I = l seconds, at: = Ul seconds. and at any time I. Also determine the limiting charge as I > oo. Enter the exact answer with a t: I). The charge at any time is given by the formula Q{r] = (A6\" +36\" + C] X ICI coulombs, where in: (20} -> l:l XllJ coulomhs as r > a:- Round your answers to two decimal places. Qtm) = :xm coulombs Qtm) = l:l XllJll coulombs