9. (10 points) (a) Find the average value of f(x) on the given interval. (Similar to 4.7 #19- 36) x) = E, 1 s x s 4 (b) Use one of the three Simpson's rule calculator programs (from problems #3, 6, or 8) to check your answer. Attach a screen shot. (c ) Do your answers match? (yes or no) 10. (10 points) x=30 a. How much work is done lifting a 15 l]; chair from the ground to the top of a building that is 30 feet high using a rope weighing 2 lbs/ft? (similar to #37-42) b. How much work is done lifting the same chair from the ground to a point 10 feet above the ground