The following table gives values for the velocity of an object in meters per minute. t0 12 3 4 mg 3 9 45 105 Include units in your answers to the following. (a) Use the Trapezoid Rule with 4 rectangles to approximate the total distance traveled by the object over the rst four minutes. (b) Use a righthand sum with 4 rectangles to approximate the average velocity of the object over the rst four minutes. (c) Approximate the average acceleration over the rst four minutes. (d) If the average acceleration between 4 and 6 minutes is 5 meters / min2, what is the velocity of the object at 6 minutes? (e) Use a lefthand sum with 4 rectangles to approximate how far away the object is from its starting point after 4 minutes. (f) Suppose the object moves at constant velocity of a meter/ min after 4 minutes. If the object returns to its starting position at 7 minutes, use your answer to the previous part to estimate the value of c