The amount of solar power installed in the US can be modelled as M(x) = 15.45(1.46*) megawatts, where x is the number of years since 2000. This model tells us that:

Q: Suppose that P dollars are invested at a nominal interest rate of r compounded continuously. Find an…

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Q: A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…

A:

Q: A lead vest used for patients having dental x-rays taken is being tested to determine what percent A…

A: According to question Consider x=thickness of lead Ax=lead vest (x -ray producer)

Q: 1997, the population of a specific county in West Virginia was 100,000. By 2005, the population had…

A: Given query is to find exponential model.

Q: A wooden artifact from an ancient tomb contains 55 percent of the carbon-14 that is present in…

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Q: Suppose the amount of a radioactive element remaining in a sample of 100 milligrams after x years…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  where x=number of…

Q: When first observed, an oil spill covers 8 square miles. Measurements show that the area is tripling…

A: The objective of the question is to find an exponential model for the area of the oil spill as a…

Q: A wooden artifact from an archeological dig contains 60 percent of the carbon-14 that is present in…

A: The amount of time taken to decay a substance follows exponential model P(t)=P0ekt. Here P(t)…

Q: If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

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.