QUESTION 1 The air temperature [ degrees Celsius) in the HN building was measured each hour over a 12-hour period. See measurements in the table below. "imen' 6am Tam 8am 9am 10am 11am 12110011 1pm 2pm 3pm 4pm 5pm 6pm 'empUC:T 20.0 21.1 20.9 19.2 19.4 20.1 1?.5 22.8 20.3 19.6 20.1 20.0 16.8 a) Draw a temperature vs time graph. You should use grid paper. (1 pl) 13) Use Simpson 's Rule to calculate the average temperature. (3 pts) You suspect that the points t the ( unexpectedly beautiful) trigonometric function: Assume that this is correct. C) (1) Calculate the average temperature using this function. Calculate your integral correct to 4 t) = sin: +sin2t + sin 3: + sin4t + 20 decimal places using the Fundamental Theorem of Calculus. {2 pts) What is the % error obtained using Simpson's Rule? (1 pt)