1. As a tornado moves, its speed increases. The function S(d) = 93logd + 65 relates the speed of the wind, S, in miles per hour, near the centre of a tornado to the distance that the tornado has travelled, d, in miles. (a) Calculate the average rate of change for the speed of the wind at the centre of a tornado from: [3] (i) mile 10 to 100 (ii) mile 100 to 1000 (iii) Describe how the two rates above compare with respect to the given information. (b) Estimate the instantaneous rate of change at d = 1000 miles. Use an interval of 0.01. Round your answer to the nearest hundredth. Do not find the instantaneous rate of change using the difference quotient or any Calculus method. Explain what the value represents in this situation. [3]