Consider an rlc circuit with resistance 4 ohms, inductance 0.1 henrys, capacitance 0.006 farads, and an impressed voltage, provided by an alternating current generator, of e(t) 15 sin(25t). at t 0 the charge is 2 coulomb and the current is 3 amps a. complete the ode below in terms of the charge in the circuit q(t) b. solve the ode and complete the equation for the charge q(t)-

In the sport of parasailing, a person is attached to a rope being pulled by a boat while hanging from a parachute-like sail. a rider is towed at a constant speed by a rope that is at an angle of 15 ∘ from horizontal. the tension in the rope is 1900 n. the force of the sail on the rider is 30∘ from horizontal. what is the weight of the rider? express your answer with the appropriate units.

Agas expands from an initial volume of 0.040 m^3 and an initial pressure of 210 kpa to a final volume of 0.065 m^3 while its temperature is kept constant. how much work is done by the system?

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