Textbook ExpertVerified Tutor
12 Nov 2021
Given information
As per the given question ,
The given ladder slides down the wall at the rate of 
, and the bottom of the ladder is 
from the wall.
Step-by-step explanation
Step 1.
To Calculate the length of the ladder.
The ladder slides down the wall, so 
is decreasing at
Bottom of the ladder is slides away form the wall, so 
is increasing at 
, when 
when
Use the Pythagorean theorem
Differentiate both sides with respect tot the chain rule
Substitute the value of ,
when 
,
Thus,
Therefore the length of the ladder is 
.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1
- Problem 2a
- Problem 2b
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7a
- Problem 7b
- Problem 8
- Problem 9
- Problem 10
- Problem 11a
- Problem 11b
- Problem 11c
- Problem 11d
- Problem 11e
- Problem 12a
- Problem 12b
- Problem 12c
- Problem 12d
- Problem 12e
- Problem 13a
- Problem 13b
- Problem 13c
- Problem 13d
- Problem 13e
- Problem 14a
- Problem 14b
- Problem 14c
- Problem 14d
- Problem 14e
- Problem 15
- Problem 16
- Problem 17
- Problem 18a
- Problem 18b
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37a
- Problem 37b
- Problem 38
- Problem 39
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 107aiii
- Problem 107b