A photographer uses a light meter to measure the intensity of light from a flash bulb. The intensity for the flash bulb, I, in lux, is a function of the distance from the light, d, in metres, and can be represented by I(d) =D 음,d>0 a) Determine the following, to two decimal places. i) the average rate of change in the intensity of light for the interval 2 < d < 6 ii) the approximate instantaneous rate of change in the intensity of light at exactly 4 m from the flash bulb. b) What does the sign of your answer to part a), subpart ii), indicate about the light intensity?
A photographer uses a light meter to measure the intensity of light from a flash bulb. The intensity for the flash bulb, I, in lux, is a function of the distance from the light, d, in metres, and can be represented by I(d) =D 음,d>0 a) Determine the following, to two decimal places. i) the average rate of change in the intensity of light for the interval 2 < d < 6 ii) the approximate instantaneous rate of change in the intensity of light at exactly 4 m from the flash bulb. b) What does the sign of your answer to part a), subpart ii), indicate about the light intensity?
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Transcribed Image Text:2. A photographer uses a light meter to measure the intensity of light from a flash bulb. The intensity for the flash
bulb, I, in lux, is a function of the distance from the light, d, in metres, and can be represented by
6
I(d) = , d > 0
d²
a) Determine the following, to two decimal places.
i) the average rate of change in the intensity of light for the interval 2 < d < 6
ii) the approximate instantaneous rate of change in the intensity of light at exactly 4 m from the
flash bulb.
b) What does the sign of your answer to part a), subpart ii), indicate about the light intensity?
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