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 1 234 R 426 242 119 69 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) = at + b in exponential form. (Round your coefficients to four decimal places.) R = 6.072-0.6243t (b) Use a graphing utility to plot the data and graph the exponential model. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) Update Graph 450 R 400 350 300 250 200 150 100 50 0.5 0.5 1 1.5 2 2.5 3 3.5 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) dt =341.4 LAR X L

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