A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rateR(in liters per hours) at a timet(in hours) is given in the table.

 t 0 1 2 3 4 R 423 238 116 73 37 

(a) Use the linear regression capabilities of a graphing utility to find a linear model for the points(t, ln(R)).Write the resulting equation of the form ln(R) =at+bin exponential form. (Round your coefficients to four decimal places.)

R=

c)Use the definite integral to approximate the number of liters of chemical released during the 4 hours. (Round your answer to one decimal place.)

₀⁴ R(t)dt=