Initially 200 millions of radioactive substance was present. After 12 hours the mass has decreased by 6%. If the rate of decay is proportional to the amount of substance present at time t find the amount of remaining after 48 hours. Determine the half-life of the radioactive substance described in Problem 3.

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Q: 6. The radioactive isotope of lead, PB-209, decays at a rate proportional to the amount present at…

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Q: 3. Initially 100 millions of radioactive substance was present. After 6 hours the mass has decreased…

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Q: The half-life of radium is approximately 1600 years. If the present amount of radium in a certain…

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Q: 1. The population of a community is known to increase at a rate proportional to the number of people…

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Q: How long will it take 70 grams of cobalt-60 to decay to 7 grams? The half-life of cobalt-60 is 5.3…

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Q: 2. Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the…

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Q: 2. The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at…

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Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

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Q: If the quantity of a substance decreases by 4% in 11 hours, find its half-life. Round constants to…

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Q: Pb-209, a radioactive isotope of lead, decays with a rate proportional to the amount present at any…

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Q: 3. If a radioactive substance is quickly decaying at a rate of 13% per hour approximately how much…

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Q: Radium decomposes at a rate proportional to the amount present. If 100 milligrams of Radium at…

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Q: [2] The rate of growth of the bacterial population is proportional to the number of bacteria present…

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Q: 3. Initially 200 mL of radioactive substance was present. After 12 hours the mass has decreased by…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: 1. The rate of decay of radium is said to be proportional to the amount of radium present. If the…

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Q: Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the…

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Q: Suppose $13000 is invested at 10% interest compounded continuously. How long will it take for the…

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Q: 1. A breeder reactor converts relatively stable uranium 238 into the isotope plu- tonium 239. After…

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Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

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Q: A sample of a radioactive substance decayed to 92% of its original amount after a year. (Round your…

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Q: (b) A company has an income stream with rate of income given by f(t) = 1 – 0.02t measured in…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.