3. When a camera flashes, the intensity of light seen by the eye is given by the function: 100t I(t) = et where I is measured in candles and t is measured in milliseconds. (a) Compute the average rate of change of intensity between time t = 6 milliseconds and t = 8 milliseconds. Include appropriate units and discuss the meaning of this value. (b) Compute I'(6). Include appropriate units and discuss the meaning of this value. (Hint: graph the function I(t) in Desmos. Use your graph to check if your answers to (a) and (b) make sense).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. When a camera flashes, the intensity of light seen by the eye is given by the function:
100t
I(t)
et
where I is measured in candles and t is measured in milliseconds.
(a) Compute the average rate of change of intensity between time t = 6 milliseconds
and t = 8 milliseconds. Include appropriate units and discuss the meaning of this
value.
(b) Compute I'(6). Include appropriate units and discuss the meaning of this value.
(Hint: graph the function I(t) in Desmos. Use your graph to check if your answers to
(a) and (b) make sense).
Transcribed Image Text:3. When a camera flashes, the intensity of light seen by the eye is given by the function: 100t I(t) et where I is measured in candles and t is measured in milliseconds. (a) Compute the average rate of change of intensity between time t = 6 milliseconds and t = 8 milliseconds. Include appropriate units and discuss the meaning of this value. (b) Compute I'(6). Include appropriate units and discuss the meaning of this value. (Hint: graph the function I(t) in Desmos. Use your graph to check if your answers to (a) and (b) make sense).
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