G You already know FS of x() = cos() and x() = cos() + 5. We derived the FS coefficients using direct analysis (e. g., Euler formula). Using the same approach, derive exponential FS coefficients = of x() = 1 + in(2) Plot the magnitude and phase of coefficients (2 plots, examples are in slides FS:42-43). Briefly comment on the differences between sin and cos, and the FS coefficients.

Athin walled concentric tube exchanger is used to cool engine oil from 160°c to 60°c with water that is available at 25°c acting as a coolant. the oil and water flow rates are each at 2 kg/s, and the diameter of the inner tube is 0.5 m and the corresponding value of the overall heat transfer coefficient is 250 w/m2. oc. how long must the heat exchanger be to accomplish the desired cooling? cpwater=4.187 kj/kg-candcpengine el=2.035 kj/kg·°c, oil . 120]