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An RL circuit has an emf of 20 volts, a resistance of 20 ohms, an inductance of 5 H with an initial current of 4 mA. What is the current after 0.05 seconds?



Given an RC series circuit that has an emf source of 110 volts, a resistance of 3 kilo-ohms, a capacitance of 5 microfarad and the initial charge of the capacitor is 50 micro coulomb. What is the charge in the capacitor at the end of 0.01 second?




Given an RC series circuit that has an emf source of 110 volts, a resistance of 3 kilo-ohms, a capacitance of 5 microfarad and the initial charge of the capacitor is 50 micro coulomb. What is the charge in the circuit at the end of 0.05 seconds?

A thermometer reading of 100 degrees C was plunged into a tub of frozen water. If the thermometer reads 70C after 5 seconds, what will be the reading after 15 seconds?



Many scientists believe that large asteroid struck the earth that kill off dinosaurs. Fragment of asteroid had found out and contain 86% of its original uranium-238. How old is the fragment of the asteroid? The half-life of uranium-238 is 4.5 billion years

A radioactive substance plutonium-239 has a half-life of 24,000 years. Initially, there is 700 mg of the substance. How long for the substance to decay 78% of its initial mass?



In 8: 00 AM, the population of a bacteria is 1000. At 11: 30 AM, the number of bacteria triples. At what time will the population become 300 times the initial population of bacteria?

A certain artifact was found in 2020 to contain presently 83% of its original carbon-14. In what year did the artifact first exist? The half-life of carbon-14 is approximate 5,740 years.

a bacteria culture is known to grow at a rate proportional to the amount present. after one hour, 1000 strands of the bacteria are observed in the culture; and after four hours, 30000 strands. Find an expression fo the approximate number of strands of the bacteria present in the culture at any time t.


solve y(2x+y-2)dx=2(x+y)dy


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