We can use cramers rule or the second row of the

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2. (2 pts) Find the present and future values of a continuous income stream of $1500 per year over the next 20years, assuming an annual interest rate of 3% compounded continuously.
3. (4 pts) Determine whether or not the following improper integrals converge, either by integrating directly orcomparing them with a known integral:(a)Z1lnxxdx.
(b)1(x2+ 4)3/2dx
4. (The power of exponential growth) Alice promises to pay Bob $1000 today, $2000 in one year, $3000 in two years,and so on indefinitely. Assume that the interest rate is 2%, compounded continuously.(a) (4 pts) Express the total present value of Alice’s promise to Bob as an indefinite integral, and evaluate it.

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