12) Consider a communication channel, transfer characteristic of which is defined by the non-linear relation, y(t) = x(t) + x²(t) + x³ (t), where x(t) is the input and y(t) is the output. Noting that m(t) is the modulating signal and assuming the input x(t) is a DSB-SC signal, x(t) = m(t) cos(2лft), find y(t). Is it possible to retrieve x(t) from y(t)? If so, how? If not why not? Explain your answer and show your work step by step.

You are required to design a mobile robot vacuum cleaner for use within the warehouse, as shown in Figure 1. The robot has to interact with its environment, and to do so, you have to choose the proper sensor for each task of the following: .A Avoiding obstacles اختيار حواجز B. fail-safe (zero-distance) measurement. 3712915, C. Calculating and updating a robot's position. D. Measuring robot heading angle> راس الزاوية Discuss the working principle of each sensor chosen, using a schematic to illustrate your answer if necessary. Answ ناقش مبدا أ العمل لكل مهمة رسم للسفير اذا وجد A differenti vel OR to B. A direes 40° 180 4m cobaltravale in al ommand has a har 50mm. Determine the w m, in Figure 1. (assume the time requi الزمن لكل خطوة R1.76,117 D 3m 5m B E 2m F 3m 1mG A Figure 1. Route of a robot in the warehouse

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Please see attached.  Thank you for the help on this. I think I got it right but just want to make sure I'm using the correct equation.