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 427 242 118 70 36 (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) at +b in exponential form. (Round your coefficients to four decimal places.) Re -0.61871+6.067 (b) Use a graphing utility to plot the data and graph the exponential model. 400 300 400- 300 200 200 100 100 400 100- 400 2 100- 400 300 300 200 100 2 x 200 100 (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(t) de 929.5 X L