The owner of a video store has determined that the profits "p" of the store are approximately given by p(x)=-x^(2)+30x+76, where x is the number of videos rented daily. find the number of videos that must be rented to get the maximum daily profit, then find the maximum daily profit to the nearest dollar.

Find a parametrization for the curve「and determine the work done on a particle moving along γ in r3 through the force field f: r^3--r^3'where f(x,y,z) = (1,-x,z) and (a) im (γ) is the line segment from (0,0,0) to (1,2,1) (b) im (γ) is the polygonal curve with successive vertices (1,0,0), (0,1,1), and (2,2,2) (c) im (γ) is the unit circle in the plane z = 1 with center (0,0,1) beginning and ending at (1,0,1), and starting towards (0,1,1)