A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hours) at a time t (in hours) is given in the table. 0 1 2 3 4 R 423 242 116 73 35 (a) Use the linear regression capabilities of a graphing utility to find a linear model for the points (t, In(R)). Write the resulting equation of the form In(R) in exponential form. (Round your coefficients to four decimal places.) R = (b) Use a graphing utility to plot the data and graph the exponential model. 400 300 200 100 400 300 200 100 R R 1 2 3 4 5 t 1 2 3 4 5 400 300 200 100 400 300 200 100 R R 2 3 4 2 3 4 t (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.) *R(E) R(t) dt = L = at + b