Provide an example of a CT system T that is Time-Invariant (TI) but not linear. Justify your answer by showing that your chosen system is indeed TI and non-linear.

One of Machete’s favorite activities is to play with his Pokémonmatchbox cars. The attached graph gives the velocity as a function oftime for one of Machete's favorite cars as he plays with it on a straightpiece of track. See if you can determine the following(assume x(t = 0) = 0m): a) The average acceleration of the car for the entire trip.b) Graph the acceleration vs. time associated with the velocity vs. time profile given (makesure to label the vertical axis for some key points). Make sure that your graph is clearc) At what time has the car achieved its greatest distance from the starting position?Describe in a sentence or two what the matchbox car is doing physically fromt = 0 up to the time you attribute to this position.d) At what position is the car at the time instant you described in part c)?e) What is the average speed for the entire trip shown?

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The switch in the circuit below closes at time t=0, and a long time passes such that steady-state conditions are reached. Given the following parameters, determine the voltage across the resistor R3. V t=0 R1 R2 ww R3 In this question, V = 15, R1 = 44Q, R2 = = 610, R3 = 510, L = 31mH, and C = 535nF.