The radius of the earth is roughly 4000 miles, and an object located x miles from thecenter of the earth weighs w(x) lb, wherew(x) =ax if 0 < x ≤ 4000b/x^2 if x > 4000and a and b are positive constants.(i) Show that w(x) is continuous on (0; [infinity]) if and only ifa =b/(4000^3)(ii) Find any horizontal asymptotes and sketch the graph of w(x).

Drag each tile to the correct box. not all tiles will be used. consider the recursively defined function below. create the first five terms of the sequence defined by the given function

Asequence has its first term equal to 4, and each term of the sequence is obtained by adding 2 to the previous term. if f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence? (1 point) f(1) = 2 and f(n) = f(n − 1) + 4; n > 1 f(1) = 4 and f(n) = f(n − 1) + 2n; n > 1 f(1) = 2 and f(n) = f(n − 1) + 4n; n > 1 f(1) = 4 and f(n) = f(n − 1) + 2; n > 1 i will award !

The experience c-0.25c can be used to find the cost of an item on sale for 25% off which expression beloit equivalent to c-0.25c