Assume the temperature of the exhaust in an exhaust pipecan be approximated by T = T0(1

Chapter 4, Problem 4.55

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Assume the temperature of the exhaust in an exhaust pipecan be approximated by T = T0(1 + aebx) [1 + c cos(t)], whereT0 = 100 C, a = 3, b = 0.03 m1, c = 0.05, and = 100 rad/s.If the exhaust speed is a constant 3 m/s, determine the time rate ofchange of temperature of the fluid particles at x = 0 and x = 4 mwhen t = 0.

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