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16. [-/2 Points] DETAILS LARPCALCLIMAGA8 7.3.098. The magnitude of the range R of exhaust temperatures (in degrees Fahrenheit) in an experimental diesel engine is

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16. [-/2 Points] DETAILS LARPCALCLIMAGA8 7.3.098. The magnitude of the range R of exhaust temperatures (in degrees Fahrenheit) in an experimental diesel engine is approximated by the model R = (10 8000(4-2x) 6x)(6- 4x)' 0 x 1 where x is the relative load (in foot-pounds). (a) Write the partial fraction decomposition of the rational function. MY NOTES ASK YOUR TEACHER PRACTICE (b) The decomposition in part (a) is the difference of two fractions. The absolute values of the terms give the expected maximum and minimum temperatures of the exhaust gases. Use a graphing utility to graph each term. y y 4000 4000 3000 3000 2000 O 1000 y 4000 3000 2000 1000 Need Help? Read It X 0.2 0.4 0.6 0.8 1.0 X 0.2 0.4 0.6 0.8 1.0 2000 1000 y 4000 3000 2000 1000 0.2 0.4 0.6 0.8 1.0 X 0.2 0.4 0.6 0.8 1.0

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