Class Notes (809,631)
Mathematics (2,710)
MAT136H1 (776)
all (232)
Lecture

# 7.7 Approximate Integration Question #5 (Medium)

1 Page
78 Views

School
University of Toronto St. George
Department
Mathematics
Course
MAT136H1
Professor
all
Semester
Winter

Description
7.7 Integral Techniques Integral Approximation Question #5 (Medium): Integral Approximation & Error Bound Using Simpson’s Rule Strategy ( ) The error bounds are given by: | | , where , and | ( ) | for the Midpoint ( ) Rule. Similarly for Trapezoidal Rule: | | , where , and | ( )| . Notice that only the denominator is slightly different. As for Simpson’s Rule: | | ( ) , where , and | ( )( ) | , meaning the fourth derivative of the function is bound by factor. Usually the question provides these input values in order to calculate the error bounds. Sample Question The rate at which a scuba diver dives into the depth of the ocean at each time interval is recorded in the table. 1) Estimate the total depth the scuba diver reached using the Simpson’s Rule. ( ) ( ) ( ) 2) If ( ) for , estimate the error involved
More Less

Related notes for MAT136H1

OR

Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Join to view

OR

By registering, I agree to the Terms and Privacy Policies
Just a few more details

So we can recommend you notes for your school.