5. I hold a pencil 1 mm from my right eye, and slowly move it away. Its distance from my eye after t seconds is d(t) = 1+t mm. As the pencil moves away, my eye will automatically adjust to remain focussed on it. In particular, the focal length of my eye (also measured in mm) when the pencil is d mm away is 25d f(d) = 25 + d Find 4, the rate at which my eye's focal length is changing with respect to time.
5. I hold a pencil 1 mm from my right eye, and slowly move it away. Its distance from my eye after t seconds is d(t) = 1+t mm. As the pencil moves away, my eye will automatically adjust to remain focussed on it. In particular, the focal length of my eye (also measured in mm) when the pencil is d mm away is 25d f(d) = 25 + d Find 4, the rate at which my eye's focal length is changing with respect to time.
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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![5. I hold a pencil 1 mm from my right eye, and slowly move it away. Its distance from my eye after \( t \) seconds is \( d(t) = 1 + t \) mm.
As the pencil moves away, my eye will automatically adjust to remain focused on it. In particular, the focal length of my eye (also measured in mm) when the pencil is \( d \) mm away is
\[
f(d) = \frac{25d}{25 + d}
\]
Find \(\frac{df}{dt}\), the rate at which my eye’s focal length is changing with respect to time.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40dadcc7-dfff-45af-973f-f08b0b9d0b92%2F4347bb89-d91d-42f0-89b1-6752f12f4189%2Fsp88nrf_processed.png&w=3840&q=75)
Transcribed Image Text:5. I hold a pencil 1 mm from my right eye, and slowly move it away. Its distance from my eye after \( t \) seconds is \( d(t) = 1 + t \) mm.
As the pencil moves away, my eye will automatically adjust to remain focused on it. In particular, the focal length of my eye (also measured in mm) when the pencil is \( d \) mm away is
\[
f(d) = \frac{25d}{25 + d}
\]
Find \(\frac{df}{dt}\), the rate at which my eye’s focal length is changing with respect to time.
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