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complexity aight formula or sorry the
complex if I'd equation
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and noted that sine NT was the imaginary
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and noted that sine NT was the imaginary
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and noted that sine NT was the imaginary
part of e to the int and then use the
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part of e to the int and then use the
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part of e to the int and then use the
exponential response formula and I want
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exponential response formula and I want
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exponential response formula and I want
to take the imaginary part at the end of
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to take the imaginary part at the end of
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to take the imaginary part at the end of
the day
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so what is a the characteristic
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so what is a the characteristic
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so what is a the characteristic
polynomial in this case it's s squared
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polynomial in this case it's s squared
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polynomial in this case it's s squared
plus 2 s plus 4
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plus 2 s plus 4
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plus 2 s plus 4
which means that P of I n
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which means that P of I n
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which means that P of I n
is going to be negative n squared plus 4
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is going to be negative n squared plus 4
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is going to be negative n squared plus 4
so I'll just group the real terms
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so I'll just group the real terms
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so I'll just group the real terms
together plus 2i n