Concept explainers
To sketch the graph of a continuous function on [0, 2].
Answer to Problem 37E
Option (d)
Explanation of Solution
Given information: Continuous function on [0, 2] and trapezoidal rule with n=2 .
Concept used:
Trapezoidal Rule:
Midpoint Rule:
Graph:
Draw the rough sketch between the interval [0, 2] by marking points on the graphing utility.
From the graph, it is observed that
Midpoint Rule:
Trapezoidal Rule:
The actual area of the function is not known but it is definitely closer to the trapezoidal rule.
Chapter 5 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning