Evaluate the following. d a. dx [(1 + x2) 5 ] b. d dx 4(Vx + x3) 3/ d 5 C. d dx x2-3x d. dx d e. dx [(2x3 - 4x)5(1 - 2x) 3]0 Question 1 a 0/2 pts '0 100 (D Details The table below gives the annual sales (in millions) of a product. What was the average rate of change of annual sales a) Between 2002 and 2003 millions of dollarslyear b) Between 2002 and 2004 millions of dollars/year Question Help: Video Submit Question 0 Question 2 :3 0/4 pts '0 100 (D Details Let 3(t) = 8t3 + 121',2 4813 be the equation of motion for a particle. Find a function for the velocity. it) = Where does the velocity equal zero? [Hint: factor out the GCE] . = D t = E Find a function for the acceleration of the particle. 0 Question 3 E 014 pts '0 100 (9 Details Suppose that the position of a particle is given by s = f(t) = 7t3 + 6t + 9. (a) Find the velocity at time t. 4ng (b) Find the velocity at time t = 3 seconds. m S (c) Find the acceleration at time t. ng (d) Find the acceleration at time t = 3 seconds. m 82 Question 4 E4 1.85/4 pts '0 97 6) Details Score on last try: 1.85 of 4 pts. See Details for more. You can retry this question below Let 3(t) = Mt3 20$2 + 813 + 9 where 3 represents the position (displacement), at time t, of an object moving on a straight line, where t is measured in seconds. Consider such an object over the time interval [0, 11]. Determine the position of the object at t = 0 and t = 11. The object's position att = 0 is E] v The object's position at t = 11 is E] V Determine the average rate of change of the object over the time interval [0, 11]. The object's average rate of change over [0, 11] is: E] '/ Determine the instantaneous rate of change (velocity), speed, and acceleration of the object at t = 3. The object's velocity at i: = 3 is E] ~/ The object's speed at t = 3 is E] _ The object's acceleration at t = 3 is E] " At what time over [0, 11], if any, did the object change directions? If multiple solutions exist, enter the solutions using a comma-separated list. The object changed directions at t = C] OThe object did not change directions over [0, 11]