30 Oct 2021
Problem 56
Page 309
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
30 Oct 2021
Given information
Note that given,
A rain gutter is to be constructed from a metal sheet of width 
by bending up one-third of the sheet on each side through an angle 
.
Step-by-step explanation
Step 1.
Draw the required diagram,
Note that the amount of water that the gutter can carry is proportional to the area of a cross-section of the gutter.
Let 
is the height that the tip of one bent-up segment rise above the base, then the cross-sectional area is
is the height that the tip of one bent-up segment rise above the base, then the cross-sectional area is
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
- Problem 12
- Problem 13a
- Problem 13b
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32a
- Problem 32b
- Problem 33a
- Problem 33b
- Problem 33c
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39
- Problem 40
- Problem 41
- Problem 42
- Problem 43a
- Problem 43b
- Problem 44a
- Problem 44b
- Problem 45a
- Problem 45b
- Problem 46a
- Problem 46b
- Problem 47a
- Problem 47b
- Problem 47c
- Problem 48
- Problem 49
- Problem 50
- 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
- Problem 60b
- Problem 60c
- Problem 61a
- Problem 61b
- Problem 61c
- Problem 62a
- Problem 62b
- Problem 62c
- Problem 62d