Name: MAT 271 Section: Problem Set 8: Net Change, Substitution, Area Between Curves, Average Value (5.4, 5.5, 6.1, 6.5) Directions: Answer each question below, showing all work as described in class, including correct notation. Use units where appropriate. Unless otherwise specified, use exact answers. 1. Between 6am and 6pm on a typical Minneapolis day, the temperature in degrees Celsius can be modeled by the function T(t) = 2-+(t-13)" where t is hours after midnight. Find the average temperature in Minneapolis during these twelve hours. Give an exact answer then round your answer to three decimal places. (18 pts) 2. The velocity function, in meters per second, of a particle is given by v(t) =12 -10 + 21. (A) Find the displacement of the particle on the interval [2, 5]. (8 pts) (B) Find the distance the particle traveled on the interval [2, 5]. (14 pts)