Income received at the rate of R(t)=2500⋅e0.049tR(t)=2500⋅e0.049tdollars per year, which can then be invested at 3.6% (compounded continuously) for 30 years.   Make sure you give an answer to each part! a) To the nearest cent, find the total value of the income stream over this time interval.   b) To the nearest cent, find the present value of the income stream over this time interval.   c) To the nearest cent, find the future value of the income stream over this time interval.

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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.