Textbook ExpertVerified Tutor
5 Dec 2021
Given information
The given function is 
Step-by-step explanation
Step 1.
(
) Find the value of 
in order to guarantee that the Trapezoidal and Midpoint rule approximations for the given integral are accurate to within 
) Find the value of in order to guarantee that the Trapezoidal and Midpoint rule approximations for the given integral are accurate to within Accuracy to within 
means that the size of the error should be less than
means that the size of the error should be less than Consider the result 
for 
so we can take 
for so we can take Therefore we choose 
so that
so that
Thus, 
will ensure the desired accuracy
will ensure the desired accuracy
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 1c
- Problem 1d
- Problem 2a
- Problem 2b
- Problem 3
- Problem 4a
- Problem 4b
- Problem 4c
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17a
- Problem 17b
- Problem 17c
- Problem 18a
- Problem 18b
- Problem 18c
- Problem 19a
- Problem 19b
- Problem 19c
- Problem 20
- Problem 21a
- Problem 21b
- Problem 21c
- Problem 21d
- Problem 21e
- Problem 21f
- Problem 21g
- Problem 21h
- Problem 21i
- Problem 21j
- Problem 22
- Problem 22b
- Problem 23
- Problem 24
- Problem 25
- Problem 25
- Problem 26
- Problem 26
- Problem 27a
- Problem 27b
- Problem 27c
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33a
- Problem 33b
- Problem 34
- Problem 35
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39
- Problem 40
- Problem 41
- Problem 42