(a)
To calculate: earthquake magnitudes.
Magnitude
Given information: magnitudes 2 and 3.
Formula used: definition.
Calculation: an earthquake of magnitude
(b)
To calculate: scatter of plot of data.
The graph is exponential
Given information: from table.
Formula used: graph table.
Calculation: make a
(c)
To calculate: exponential of data.
Given information: magnitudes 2 and 3.
Formula used: definition.
Calculation: an oblivious exponential function is
(d)
To calculate: logarithmic function.
Given information: magnitudes 2 and 3.
Formula used: definition.
Calculation: model with a logarithmic function, we must have x as a function of y. since base is
(e)
To calculate: advantages logarithmic function.
Given information: magnitudes 2 and 3.
Formula used: definition.
Calculation: some possible advantages will display of wider range of data is possible and increase in data for smaller values (magnitude).
(f)
To calculate: are function (c) and (d) inverse functions.
No
Given information: magnitudes 2 and 3.
Formula used: definition.
Calculation: no, since we use the since data for same variables, they basically are same function. The function in part (c) is y as a function of x while function in part (c) is x as a function of y.
Chapter 3 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
- 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