question archive A new fish pond is being mnstructed at an apartment building, to be maintained on a monthly basis with index, n, for each month
A new fish pond is being mnstructed at an apartment building, to be maintained on a monthly basis with index, n, for each month
Subject:Electrical EngineeringPrice: Bought3
A new fish pond is being mnstructed at an apartment building, to be maintained on a monthly basis with index, n, for each month. The pond is empty of ?sh for all months with n 1:: D. It is stocked with 5i} new ?sh each month from the manager, beginning with month 11 = G. For the ?sh population in the pond, statistically each month l'l}% of the fish population fmm the prior month die (reducing the population}, but each month statistically 3% of the population from two months prior pmduce one new offspring {increasing the population during the current month}. Note: you do not bone to complete the following parts in the order they are presented. a.) 1Write a difference equation in standard form, where y[n] is the current month’s ?sh population and x[n] is the number of new ?sh added by the manager for the current month. b.) Sketch a ?ow diagram that represents the zero-state system in the e—domajn. c.) Find the transfer function, life}, for the system. Find the 1values of the poles and zeros for the system. 121.} Specify a closed form formula for :r[n] and 432(3). e.) [f the system can reach steady—state, specify the formula for the steady—state ?sh population in both the z—domain, 1:142], and time domain, y?[n], including Tealum for any constants in the formula. [f the system carmot reach steady—state, state the reason it cannot. Note that you do not need to solve for the transient solution for the ?sh population.
