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The response of a circuit or other oscillatory system to an input of frequency to (omega) is described by the function 45th = 2 (m3

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The response of a circuit or other oscillatory system to an input of frequency to (\"omega") is described by the function 45th = 2 (m3 as) + 492m: Both (no [the natural frequency of the system] and D {the damping factor) are positive constants. The graph of 95 is called a resonance curve, and the positive frequency a), > 0, where cf; takes its maximum value, if it exists, is called the resonant frequency. '9 (U \"'r 2 bet mo = 0.6 Hz. Find the values of D for which the resonant frequency exists. [Use symbolic notation and fractions where needed. Give your answers as intervals in the form (an, it]. Use the symbol no for innity and u for combining intervals, and the appropriate type of parenthesis " {", ") " 1 " [", \"] " depending on whether the interval is open or closed.) Find the resonant frequency 03, for D = 0.212. [Use decimal notation. Give your answer to three decimal places.) Hz

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