Suppose we have an RLC circuit with a resistor of 100 milliohms (0.1 ohms), inductor of 50 millihenries (0.05 henries), and a capacitor of 5 farads, with constant voltage. a) Set up the ODE equation for the current I. b) Find the general solution. Write your final answer as a single term with a cosine but no sine. c) Find a particular solution so that I(0)

The average atmospheric pressure on earth is approximated as a function of altitude by the relation patm = 101.325 (1 − 0.02256z)5.256, where patm is the atmospheric pressure in kpa, and z is the altitude in km with z = 0 at sea level. determine the approximate atmospheric pressures at atlanta (z = 306 m), denver (z = 1610 m), mexico city (z = 2309 m), and the top of mount everest (z = 8848 m).