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. t 0 2 3 4 R 424 241 116 72 38 (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.) R = (b) Use a graphing utility to plot the data and graph the exponential model. R R 400 400 300 300 200 200 100 100 O 1 2 3 4 5 O 1 2 3 4 52 3 400 400 300 300 200 200 100 100 2 3 4 5 2 3 4 (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 ) at = Need Help? Read It Submit Assignment Save Assignment Progress MacBook Air 20 888 DII DD SC 62 F3 F4 F5 F7 FB F10 F12 @ $ % A & O 2 3 4 5 6 8