An eagle flying in the air over water drops an oyster from a height of 39 meters. The distance the oyster is from the ground as it falls can be represented by the function h(t) = −4.9t 2 + 39, where t is time measured in seconds. To catch the oyster as it falls, the eagle flies along a path represented by the function g(t) = −4t + 27.

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?