Textbook ExpertVerified Tutor
10 Dec 2021
Given information
The function 
is an decreasing function.
is an decreasing function.The number of intervals is 
Each interval value is 
Step-by-step explanation
Step 1.
The distance approximation 
provides the lower estimate for the total amount of oil leaked from the tank and 
provides the upper estimate for the total amount of oil leaked from the tank.
provides the lower estimate for the total amount of oil leaked from the tank and provides the upper estimate for the total amount of oil leaked from the tank.The expression to find the lower estimate for the total amount of oil leaked 
is shown below:
is shown below:
Here, for the time 
, the rate is 
, the time interval is 
, for the time 
, the rate is 
, and for the time 
, the rate is 
.
, the rate is , the time interval is , for the time , the rate is , and for the time , the rate is .Substitute 5 for 
in Equation (1).
in Equation (1).
Substitute 
for 
for 
for 
for 
for 
, and 
for 
in Equation (2).
for for for for for , and for in Equation (2).
Therefore, the lower estimate for the total amount of oil leakage from tank is 
.
.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 2a
- Problem 2b
- Problem 2c
- Problem 2d
- Problem 3a
- Problem 3b
- Problem 4a
- Problem 4b
- Problem 5a
- Problem 5b
- Problem 5c
- Problem 5d
- Problem 6a
- Problem 6b
- Problem 6c
- Problem 7
- Problem 8
- Problem 9a
- Problem 9b
- Problem 9c
- Problem 10a
- Problem 10b
- Problem 10c
- Problem 11
- Problem 12a
- Problem 12b
- Problem 12c
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22a
- Problem 22b
- Problem 23
- Problem 23a
- Problem 23b
- Problem 23c
- Problem 24
- Problem 25a
- Problem 25b
- Problem 25c
- Problem 26
- Problem 27
- Problem 28a
- Problem 28b