What values of a and b make f(x) = x* + ax + bx have a. a local maximum at x = - 5 and a local minimum at x = 1? b. a local minimum at x = 4 and a point of inflection at x = 1. a. For a local maximum at x = - 5 and a local minimum at x = 1, a = and b =The height (feet) of an object moving vertically is given by s = - 16t + 80t + 60, where t is in seconds. Find the object's velocity at t= 0, its maximum height and when it occurs, and its velocity when s = 0. The velocity of the object at t= 0 seconds is |ft/second. (Simplify your answer. Type an integer or a decimal.)8 It costs 4 dollars to manufacture and distribu e a backpack. If the backpacks sell at x dollars each, the number sold: n: is given by n = + 5(100 x). Find the selling price that Will maXimize prot The selling price that will maximize profit is $ (Simplify your answer.)