The total accumulated costs C(t) and revenues R(t) (in thousands of dollars), respectively, for a photocopying machine satisfy C'(t)=((1/58)(t^3)) and R'(t)= ((9t^3)(e^(-t^4)))

where t is the time in years.

Find the useful life of the machine, to the nearest year. Using the useful life of the machine rounded to the nearest year, the total profit accumulated during the useful life of the machine is $_____.

The useful life of the machine is____year(s).

(Round to the nearest year as needed.)

Using the useful life of the machine rounded to the nearest year, the total profit accumulated during the useful life of the machine is______ (Round to the nearest dollar as needed.)