Determine the radius of convergence of the power series sigma_n = 1^infinity (-2)^n (n-3)^n/n. if y is a solution of the initial problem xy" + (in x)y' + (x^2 + 1)y = 0, y(1) = 2, y'(1) = -1, then y"(1) = and y^(3)(1) = .

The function f(x)= -(x+5)(x+1) is down. what is the range of the function?

As a self-employed seamstress, you know that it takes 7 yards of material to make 3 jackets. you bought 15 yards of material to make 7 jackets. did you buy enough material? if not, how much were you over or under?

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 ?