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Design a stepped-impedance low-pass filter having a cutoff frequency of 3 GHz and a fifth-order 0.5 dB equal-ripple response. Assume R0 = 50 , Zl = 15 , and Zh = 120 . (a) Find the re- quired electrical lengths of the five sections, and use CAD to plot the insertion loss from 0 to 6 GHz. (b) Lay out the microstrip implementation of the filter on an FR4 substrate having εr = 4.2,

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A certain vehicle loses 3.5% of its value each year. If the vehicle has an initial value of $11,168, construct a model that represents the value of the vehicle after a certain number of years. Use your model to compute the value of the vehicle at the end of 6 years.

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