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Consider a discrete-time system that is characterized by the following difference equation:
Y(n) = x(n)cos?0n,
where ?0 is constant value, x(n)are the discrete-time input data of the system, y(n)are the discrete-time output data of the system.
Is the discrete-time system governed by the given difference equation:
(a) static or dynamic?
(b) time-invariant or time-variant?
(c) linear or nonlinear?
(d) causal or noncausal?
(e) stable or unstable?
Explain your answers for all questions and prove your conclusions analytically for questions b,c and d.
Two circles touch externally. The sum of their areas is 58 π cm 2 and the distance between their centres is 10 cm. Find the radii of the two circles. (Ans:7cm, 3cm) Ans:
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