30 Oct 2021
Problem 52
Page 308
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
30 Oct 2021
Given information
Note that given,
Two vertical poles 
and 
are secured by a rope 
going from the top of the first pole to a point 
on the ground between the poles and then to the top of the second pole as in the figure.
Step-by-step explanation
Step 1.
Draw the required diagram,
Let 
represent the distance between the poles and 
represent the distance between the base of the pole 
and tie-point .
represent the distance between the poles and represent the distance between the base of the pole and tie-point .Also, let 
and 
be the respective heights of poles and 
.
and be the respective heights of poles and .Finally, let 
represent the rope- length based on the variable tie-point.
represent the rope- length based on the variable tie-point.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9a
- Problem 9b
- Problem 9c
- Problem 10a
- Problem 10b
- Problem 10c
- Problem 10d
- Problem 10e
- Problem 10f
- Problem 11
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- Problem 13a
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- Problem 15
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- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32a
- Problem 32b
- Problem 33a
- Problem 33b
- Problem 33c
- Problem 34
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- Problem 42
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- Problem 43b
- Problem 44a
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- Problem 45a
- Problem 45b
- Problem 46a
- Problem 46b
- Problem 47a
- Problem 47b
- Problem 47c
- Problem 48
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- Problem 51
- Problem 52
- Problem 53
- Problem 54
- Problem 55
- Problem 56
- Problem 57
- Problem 58
- Problem 59a
- Problem 59b
- Problem 59c
- Problem 59d
- Problem 60a
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- Problem 60c
- Problem 61a
- Problem 61b
- Problem 61c
- Problem 62a
- Problem 62b
- Problem 62c
- Problem 62d