Concept explainers
a.
The meaning of
a.
Explanation of Solution
Given information:
The unemployment rate U(t) varies with time.
The table gives the percentage of unemployed in US labor force from
t | U(t) | t | U(t) |
1998 | 4.5 | 2003 | 6.0 |
1999 | 4.2 | 2004 | 5.5 |
2000 | 4.0 | 2005 | 5.1 |
2001 | 4.7 | 2006 | 4.6 |
2002 | 5.8 | 2007 | 4.6 |
Calculations:
Here
The slope of the tangent is given the formula,
b.
The estimated values of
b.
Explanation of Solution
Given information:
The unemployment rate U(t) varies with time.
The table gives the percentage of unemployed in US labor force from
t | U(t) | t | U(t) |
1998 | 4.5 | 2003 | 6.0 |
1999 | 4.2 | 2004 | 5.5 |
2000 | 4.0 | 2005 | 5.1 |
2001 | 4.7 | 2006 | 4.6 |
2002 | 5.8 | 2007 | 4.6 |
Calculations:
Here
The slope of the tangent is given the formula,
t | U(t) | t | U(t) | ||||||
1998 | 4.5 | 2003 | 6.0 | 0.2 | |||||
1999 | 4.2 | -0.3 | 2004 | 5.5 | -0.5 | ||||
2000 | 4.0 | -0.2 | 2005 | 5.1 | -0.4 | ||||
2001 | 4.7 | 0.7 | 2006 | 4.6 | -0.5 | ||||
2002 | 5.8 | 1.1 | 2007 | 4.6 | 0 |
Chapter 2 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