Question # 41: Answer the following: 2 1. (2 Marks) Show that the upper bound error for numerical integration of a quadratic function is given by f(3) () (2 20) (2 21), 3! where & is a value within the limits of the integral that maximizes the error. 2. (3 Marks) The vertical distance covered by a rocket from t = 8to t = 30seconds is given by 140000 2000 In - 9.8tdt. 140000 2100t 30 = 16 ] Use single segment trapezium rule to find the distance covered. 3. (3 Marks) Find the actual distance in the previous part, and also compute the actual error. 4. (2 Marks) How can the error be decreased