An LC-circuit like the one shown in the figure contains an 60.0-mH Switch closes at t = 0. inductor and a 30-OF capacitor that was fully charged using a 10V battery before being put in the circuit....

Please show the solution for first three parts, detailed solution for three parts and give answers, thanks

Extracted text: An LC-circuit like the one shown in the figure contains an 60.0-mH Switch closes at t = 0. inductor and a 30-OF capacitor that was fully charged using a 10V battery before being put in the circuit. The switch is thrown closed at t=0 seconds. Initial charge Q, 1. Find the angular frequency (in rad/sec) of the resulting oscillation. A. 350 rad/sec B. 816 rad/sec C. 745 rad/sec D. 213 rad/sec 2. Find the frequency (in Hertz) of the resulting oscillation. A. 119 Hz B. 220 Hz C. 23.9 Hz D. 78.8 Hz 3. What is the formula for the charge (in Coulombs) on the capacitor, Q(t), as a function of time (HINT: You will need to find the initial charge on the capacitor) A. Q(t) O 300.0x106 cos(745t) B. Q(t) O 413x10"6 cos(220f) C. Q(t) O 200x10°s cos(816t) D. Q(t) 0133x10"s cos(39.8t)