We can work on Decomposing periodic analog signal

Decomposing periodic analog signal into two sine waves having a phase shift equivalent to 1/6 and 1/8 cycle with respect to time 0. These sine waves have 8 and 12 cycles for a duration of one second. Both have a maximum amplitude of 15 volts. What are the phases in degrees and radians and represent both signals in time and frequency domains plot?

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authority spreading throughout the Mediterranean. Rome falls into a grey area of history. Often it is thought that Rome expanded aggressively, that it was an established goal that Rome set out to conquer Italy and large amounts of surrounding territory. However, this may not be the case as much of the territory acquired was not due to methodically planned Roman expansion, but rather it paints a picture of a civilization attempting to assert their power and protect their own in a particularly violent time in history. Although Rome benefited from expansion through the increase of profitable territory and cultural influence as well as the elimination of enemies who could threaten their security, there were consequences as well. The increase in land and power acted as a catalyst to provoke new enemies and expansion lead to new political and logistical pressures on the Roman government. Through military strength inspired by Roman ideals and virtues, Rome was able to thrive and assert their dominance in the ancient world. This paper will seek to establish that Rome grew from a small civilization into one of the most formidable empires of the ancient world due the required necessities of survival and profited as well as suffered due to its expansion. Rome began as a small settlement on the Tiber River it was not the empire that comes to mind when one thinks of Rome. As it began to grow much of the territory they acquired was as a result of conflicts with neighboring groups. Livy writes about this period but often romanticizes the “glory days” of the Roman republic, and this lens must be taken into account. Livy describes the period of monarchical rule as having been under the rule of seven kings; several are noted as having reignited wars and expanding territory including Tullus Hostilius and Ancus Martius. Not much is said about these kings besides how they conquered peoples in the surrounding area of Rome, this indicates that depending>

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