a.
To state : the evaluation theorem.
a.
Answer to Problem 3RCC
Evaluation theorem is a fundamental theorem of calculus state if antiderivative can be find for the integrand so the definite
Explanation of Solution
Given information :
Evaluation theorem.
Evaluation theorem is a fundamental theorem of calculus state if antiderivative can be find for the integrand so the definite integral can be evaluate by evaluating the antiderivative at the endpoints of the interval and subtracting.
b.
To state : the net change theorem.
b.
Answer to Problem 3RCC
The net change theorem considers the integral of a rate of change. If the quantity changes the new value equals the initial value plus the integral of the rate of the change of that quantity.
Explanation of Solution
Given information :
Net change theorem.
The net change theorem considers the integral of a rate of change. If the quantity changes the new value equals the initial value plus the integral of the rate of the change of that quantity.
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