j . Suppose the position 8 (in ft) of an object moving horizontally along a line after t seconds is given by s = t3+6t29t,0t 4 (a) Find the velocity and acceleration functions. (1)) When is the object stationary, moving to the right, and moving to the left? (c) On what intervals is the speed increasing? '1 . The cost function and the price function are given below. C(x) = 43.049.-2 + 1003: + 800 p(:r) = 200 0.12: (a) Find the average cost function and the marginal cost function. (h) Find the prot function. (c) Find the average prot function and the marginal prot function. 3 . The limit . secs2 11111 x)% x % is the derivative of a function f (3:) at a number a. Evaluate the limit using derivatives