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?
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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![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)=,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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5986c53-89d8-485d-a238-f86659e0f504%2Fa8fb8f5e-a581-4fb4-9890-966ec945a3e3%2Fvtpwm5t_processed.png&w=3840&q=75)
Transcribed Image Text: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)=,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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