. Question 1 Suppose you deposit $1000 at 4% interest compounded continously. Find the average value of your account during the first 3 years. LA. Question 2 A company is considering expanding their production capabilities with a new machine that costs $39,000 and has a projected lifespan of 6 years. They estimate the increased production will provide a constant 57,000 per year of additional income. Money can earn 1.1%% per year, compounded continuously. Should the company buy the machine? Select an answer over the life of the machine. Question 3 Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with $60000 in the account. Each year the account earns 4% interest, and you deposit $5000 into the account. This can be modeled with the differential equation: dy dt 0.04y + 5000 y(0) = 60000 Solve this differential equation for y(t) y(t)Question 4 To find the blue shaded area above, we would calculate: f(x)dr = area Where: b