The amount of money a company has in the bank after years is 180+3^2 thousand dollars.

1. How much did the bank account increase during year 3? Hint: Year 1 starts at =0t=0 and ends at =1t=1.The account increases by ______ thousand dollars
2. What was the average rate of increase of money in the account during year 3? The average rate of increase was _____ thousand dollars per year
3. What was the instantaneous rate of increase of money in the account at the start of each of the four quarters of year 3?

a. instantaneous rate of increase at the start of first quarter is _____ thousand dollars per year

b. instantaneous rate of increase at the start of second quarter is _____ thousand dollars per year

c. instantaneous rate of increase at the start of third quarter is _____ thousand dollars per year

d. instantaneous rate of increase at the start of fourth quarter is _____ thousand dollars per year