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The system's response to <math>cos(2t)\,</math> will be <math>cos(-2t) \,</math> because the systems input <math>x(t)\,</math> yields response <math>y(t)=x(-t)\,</math>. In this case the graph of the output will be identical to the input because cosine is an even function.
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The system's response to <math>cos(2t)\,</math> will be <math>tcos(-2t) \,</math> because the systems input <math>x(t)\,</math> yields response <math>y(t)=tx(-t)\,</math>.

Latest revision as of 07:10, 18 September 2008

The system's response to $ cos(2t)\, $ will be $ tcos(-2t) \, $ because the systems input $ x(t)\, $ yields response $ y(t)=tx(-t)\, $.

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva