2. A photographer uses a light meter to measure the intensity of light from a flashbulb. The intensity for the flashbulb, I, measured in lux, is a function of the distance from the light, d, measured in metres, and can be 10 represented by I(d) = 2.d>0 a) Determine the following, to two decimal places. i) the average rate of change in the intensity of light for the interval [1, 3] ii) the approximate instantaneous rate of change in the intensity of light at exactly 4 m from the flashbulb. b) What does the sign of your answer to part a), subpart ii), indicate about the light intensity?

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