Suppose a group of ducks (known as a raft) are categorized into three life stages: eggs, hatchlings, ducks. Assume the number of each type can be modeled as follows: • 90% of the eggs at t = n hatch into ducklings at t = n +1 (assume the rest are non-viable), • 70% of the ducklings at t = n become ducks at t = n +1 (assume the rest do not survive), • 90% of the ducks at t = n are still alive (and still ducks) at t = n + 1 (assume the rest do not survive), • Each duck at t = n lays 5 eggs (which will be eggs at t = n + 1). Let en, hn, dn be the number eggs, hatchlings, and ducks at time t = n. Find formulas for en +1, hn+1, dn+1. Use to enter subscripts, so an, would be typed "a_n" en+1 = 5dn 3 hn+1 10 n = dn+1 = Let T: (en, hn, dn) → (en+1, hn+1, dn+1). 0 0 5 0 T || 1 3 10 0 0 1 45