The 2009 Kentucky Derby was won by a horse named Mine That Bird (at more than 50: 1 odds) in a time of 2: 02.66 ( 2 minutes and 2.66 seconds) for the 1 (1)/(4)-mile race. Times at the quarter-mile, half-mile, and mile poles were 0: 22.98,0: 47.23, and 1: 37.49. a. Use these values together with the starting time to construct a natural cubic spline for Mine That Bird's race. b. Use the spline to predict the time at the three-quarter-mile pole, and compare this to the actual time of 1: 12.09 c. Us