An LC-circuit like the one shown in the figure contains an 60.0-mH inductor and a 30-OF capacitor that was fully charged using a 10V battery before being put in the circuit. The switch is thrown...

Please show the solution for part 4, 5 and 6. Please show the detailed solution and answer for three parts are given. For question please see the image attached, Thanks!

Extracted text: An LC-circuit like the one shown in the figure contains an 60.0-mH 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. harge Q, Switch closes at r = 0. Initial 1. Find the angular frequency (in rad/sec) of the resulting ocillation. Ans: C e 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. Ans: A В. 220 Hz A. 119 Hz С. 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), Ans: A A. Q(t) O 300.0x106 cos(745t) В. О() О 413х10"6 сos(2201) C. Q(t) O 200x10ºs cos(816t) D. Q(f) 0133x10ºs cos(39.8f) 4. Write the formula for the current (in Amps) on the capacitor, I(t), as a function of time (HINT: Remember, I(f) = dg/dt A. I(f) = -75.0sin(220f) C. I(t) = - 0.163sin(8161) B. I(t) = - 0.224sin(745t) D. I(t) = - 2.33sin(21.2f) 5. What is the maximum current this circuit will experience (Hint: look at your formula from Part d.)? |A. Imax= 0.224 A B. Ima= 0.163 A | C. Imax= 21.2 A D. Imax= 816 A 6. Att= 1ms, find the charge (in uC) on the capacitor (Be sure your calculator is in radian mode). A. Q = 220 uC B. Q = 35.6 uC C. Q = 87.2 uC D. Q = 137 uC %3D ele