Two investments, A and B, produce a continuous income stream of 3%, compounded continuously. The rate of flow of income from investment A is f(t) = 3000e0.04t and the rate of flow of income from investment B is expected to be g(t) = 5000. (a) Find the total income produced by each of the two investments over the 7-year period. (b) Find the future value, the accumulated amount of money flow, of each of the two investments for 7 years. (c) Compute the interest earned by each investment over the 7-year period. (d) Find the present value of each of the two investments. (e) Interpret the answers determined in (a) to (d)

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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.