The rate of expenditure of a particular machine is given by M'tx] = 15%; where x is time measured in years. Maintenance costs through the second year are $125. Find the total maintenance function by integration. Answer: The number of books in a small library increases at a rate according to the function 13 {t} = 37090.05 t, Where t is measured in years after the library opens. How many books will the library have 10 year(s) after opening? Answer: A certain company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by E(x) =10x+9, where x is the number of days since the start of the job. Use integration to find the expenditure if the job takes 6 days